diff --git "a/data/dm_maths/full_data/10196_11255.jsonl" "b/data/dm_maths/full_data/10196_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10196_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2*c = -52 - 2. Let o = c + 31. Suppose -11*t + 3*j = -6*t - 85, -51 = -4*t - j. What is the smallest common multiple of t and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (244\/(-84))\/((-235)\/4935)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -194\nAnswer: -25\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**2 - 25*c - 66. Let t be k(6). Solve -12*m + 155 - 167 = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**2 - 172*y - 77. Calculate o(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**7)\/d)\/d*d**(1\/18)\/d)**(-2\/67))**(2\/77) assuming d is positive.\nAnswer: d**(46\/6633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - -313. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - t + 0*t = 3, 2*t - 2 = 2*m. Let j(k) = -11*k + 5. Let a(r) = -21*r + 9. Determine m*a(u) - 7*j(u).\nAnswer: -7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3315645 or 3315670?\nAnswer: 3315645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -17 - 143. What is the remainder when (2\/(-4))\/((-1)\/60) is divided by (t\/(-15))\/8*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/130 and -51\/650.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 + 276*p**2 + 1785*p - 93. What is n(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 108 (b) 1\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 474738 (base 9) to base 15\nAnswer: 5997b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/(0 - 9\/3591). Suppose 171 + a = 8*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 23 = -3*x - 2*w, x = -w + 4. Let g(k) = -k**3 + 11*k**2 - 5*k + 2. Is g(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191 and 12224?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -1\/108, -0.2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/7798308 and -3\/41590976?\nAnswer: 124772928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 285 = 2*p. Suppose -p = -10*z + 15*z. Let u = -3 - z. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 h when four letters picked without replacement from jjjjjjhhhwjjhjhjhjhj?\nAnswer: 462\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.119 + -0.111. Let i = -0.00799766 + w. Round i to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 227.8 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 5*b**3\/3 + 9515. Let u(r) = 4025*r**2. Determine u(d(h)).\nAnswer: 100625*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-39)\/(-26) + 41\/2. Suppose -i*b = -6549 - 8895. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -2\/11, -15, 0.2, 4 in increasing order.\nAnswer: -15, -2\/11, 0.2, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35687640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) - (sqrt(160) - sqrt(160)*2 - sqrt(160)))*2)\/sqrt(8))**2 + 3 + (sqrt(320)*2 - sqrt(320)).\nAnswer: 8*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 6376363466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 240. Let s = j + -44. Let k be 8\/(s + 24\/20). Is k greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1 = -5*d. Let m be d - (-4 + (-1 - -2)). Let x(p) = 3*p - 75. Let s be x(25). Solve -m*k + s*k = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*m + 114638 = 215*m - 2*t, 2*t = -8. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-16)*7064\/8830)\/((-30)\/(-81)*3)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 4, v: 3}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 3*l - 238 + 129, -5*c - 5*l - 125 = 0 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hejj when four letters picked without replacement from {j: 6, m: 1, p: 1, h: 6, e: 3}.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:23 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -85. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165235?\nAnswer: 5, 443, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l - 44. Calculate the least common multiple of y(-6) and 7.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -169*o + 17763. Determine a(104).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -7 (b) -5 (c) -6 (d) 3 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/14 and (1\/3546)\/(198\/(-2322)).\nAnswer: 91014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 390*a**2 + 7*a + 898. Determine w(-130).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 3. Let t(p) = p**3. Suppose 8*o + 13244 = 13252. Determine o*t(v) - g(v).\nAnswer: v**3 + 3*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551163 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 6 + 5 - (-1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 257\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.056 - -1.016. Let y = 1 - f. Round y to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(6))\/sqrt(7) + (sqrt(3) - (sqrt(33)*1)\/sqrt(11)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 4*d - 6, -7841*s + d = -7842*s - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**3 + 3*z**2 - 3*z - 2. Let j be o(-4). Let w be -1 + (2 - 5*-25). Let f = j + w. What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19497 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2436770 and 22260.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -5)*(4 + -3). Suppose -y*z + g = -133, -5*z + 5*g - 53 + 238 = 0. Suppose 0 = 7*p - 7123 + 7032. What is the remainder when z is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.3. Let p = 43923776\/235 + -186910. Let x = -4\/47 + p. What is the smallest value in t, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/2, 142\/47, -1\/3?\nAnswer: 142\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5926.50413642 minus 749?\nAnswer: 5177.50413642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29016 and 624?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*t + 22 = 3*p, -t = -4*p - 3. Is 17 a factor of 181 + (4 - (-4)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 239676*k**2. Let f(g) = 2*g. Calculate f(c(n)).\nAnswer: 479352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 34. Calculate the remainder when 699 is divided by u(-61).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -2133214?\nAnswer: -2133202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + -9 + (-8 - -14) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7) + (-19 + 44 - 24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*w**2 + 208 - 284 + 76.\nAnswer: 291*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 22*a - 5*a - 6*a**2 + 23 - 11*a**2 + 18*a**2 to the form y*a + z + g*a**2 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6843268 and 9462?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2330784.\nAnswer: 2, 3, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 3 + 7*f + 0 - 7*f**2 + f**3 - 1. Let o be 2 - (-8 + -3 + 8). Give k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68640 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31643\/5 + -6328. What is the closest to -18 in -6, -2, 0.4, m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j**2 - 16. Let q be (144\/30 + -6)*-20. Suppose 0 = 18*d - q*d. Calculate v(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 32 - 24 + 43 - 27 - 3*u**3.\nAnswer: -3*u**3 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, h: 5}. What is prob of sequence hhg?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -14. Suppose -13 = -f*r + 381. Round r to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2854*0.09.\nAnswer: -256.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(304)*-2 + 1)*-1)**2.\nAnswer: -48*sqrt(19) + 3651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.967193 - -2.\nAnswer: 74.967193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) 0.2 (b) 4 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.4057 to 1 decimal place.\nAnswer: 97.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 153*p - 1943. What is i(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -345\/7. Suppose 3*q + q - 4 = b, -q - b = 4. What is the second biggest value in z, q, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1941 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/4)\/5*-4. Suppose a - c*a = -5. Is (-4)\/2 + 77\/a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = -5*x + 15, -5*r + 51 = x. Let m(f) = 4 - 1 - 4*f + 11*f**2 + 2*f - f**3. Is m(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15741*p**5 - 3*p**3*u**3 - 2*p**2*u**3 + 5*p*u**2 + 2*p + 1104*u**3 wrt p?\nAnswer: 944460*p**2 - 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 9:38 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 16*n**2\/13 - 2*n\/13 - 60\/13 = 0.\nAnswer: -15\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58357, -59366, -60349, -61294, -62189, -63022?\n\"Answer: 2*x**3 + x**2 - 1026*x - 57334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/12*((-969)\/(-68))\/19.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 513218917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 1 + 1 + 0*g + 0*g + 2*g**3 + (-18835*g + 18835*g - 209*g**3)*(-2 + 6 - 1) to the form u*g**3 + y*g**2 + f + l*g and give u.\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652123 rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, g: 1}. What is prob of sequence gq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*i + 195, 2*i - 2*k - 156 = -2*i. Suppose 0*p = -3*p + i. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 5:59 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o + 3. Let i be j(-4). Let s = i - -13. Solve -9*z + 25 = -s*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9045041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44893, -44880, -44867, -44854, -44841?\n\"Answer: 13*z - 44906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -310 + 312.03. Let d = 0.03 - l. Let j = 49\/2 + -25. Which is the second biggest value? (a) -1\/7 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3\/4 + 24795*i**2\/4 - 49650*i + 99340.\nAnswer: 5*(i - 4)**2*(i + 4967)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5058796.09 to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -21. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55964054.23 rounded to the nearest 10000?\nAnswer: -55960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 6*y**2 + y + 7. Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {u: 1, z: 2, a: 5, t: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2190 is divided by 198?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s + 30*s + 9*s)*(s + 2*s - 2*s)*(19 - 3 + 10).\nAnswer: 754*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*k. Let c = 4 - k. Let o(a) = a - 1. What are the prime factors of o(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1382 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(5*(-18)\/(-270))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.6 - 16.2. Round r to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = 0, 3*k - 3*o = o + 8. Suppose k = 2*m + m - 2388. Suppose -5*a + 595 = 3*y, y + m = 5*y + 4*a. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130963806*v + 130963787*v - 5 + 5.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:48 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7198, 14397, 21596, 28795, 35994?\n\"Answer: 7199*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*g = -11*g. Sort g, 1, -4 in ascending order.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1107113 and 80551.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let h(n) be the third derivative of n**5\/60 - n**3\/2 - 3*n**2. Let b(v) be the first derivative of h(v). What is p(b(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 585*f**2 - 2829*f - 71173. Calculate b(590).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyv when three letters picked without replacement from vyyvyvyyyy.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.063 in -0.3, -5, -0.018, 5, 20?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 925.1881 - 925. Let m = q + 0.0119. What is the second smallest value in -4, -15, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 8*c - 9. Let u be h(-6). Solve 4*p - 4*s + 20 = -0*p, -u*p + 2*s = 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000020 - -313?\nAnswer: -333101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) + (2 - 4202\/2070). Let m = -15\/23 - p. Which is the biggest value? (a) 1\/3 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/16 and 1353\/(-1012) - 6\/(-8)?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -14 + -24 - -18 - -12) + 107\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 2 + 1 + (0 - -4 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5955 - -5955.0005209. Round b to five decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53120 - 4566. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -25, -65, -123, -199, -293?\n\"Answer: -9*d**2 + 5*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 179 + 26*o - 179.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 117. Suppose u - 240 = -p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - (-155)\/(-175). Which is the closest to -1? (a) -1\/2 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.4, -1\/7, 3, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let f be a(1). Let q be f + 82\/16 + -2. Put 3, q, 2 in ascending order.\nAnswer: q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 10\/3*c**3 - 3 + 0*c - 3\/2*c**4 - 2\/5*c**5 + 1\/3*c**6 - 2*c**2. Determine a, given that h(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11755.034 - 11739. Let t = -0.034 + m. Let b = t + -16.0000076. What is b rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 76*c + 157. What is n(-23)?\nAnswer: -2120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10584, -42036, -94364, -167574, -261672, -376664, -512556?\n\"Answer: -y**3 - 10432*y**2 - 149*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -398.95 + 416. Let q = g + -0.05. Let k = q + -12. Which is the third biggest value? (a) -5 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 4 = -11*h. Let a be (-12)\/(-21) + -290*(-5)\/35. Sort h, 4, -5, a.\nAnswer: -5, h, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548590 is divided by 4460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*n + 12, 3*d = -4*n - 1 + 21. Let o = -3 - -13. What is the remainder when o is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3706304 divided by 28\nAnswer: -132368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l**2 - 7*l + 8. Let i(n) = 17*n**2 + 7*n - 7. Calculate 6*f(q) + 7*i(q).\nAnswer: -q**2 + 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1665*d - 1617*d + 816 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8957500 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 bigger than 1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 30*m. Let p(a) = -60*a**2 + 2. Calculate s(p(c)).\nAnswer: -1800*c**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 61. Calculate the lowest common multiple of 38 and o.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2773\/48832 - -9\/448. Let t = w + -198\/545. What is the second biggest value in 0.1, t, 42?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -40 + -3 + 15?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (442 - 24 - 12)*(-5*q + 0*q - 3*q) + q + 4*q - 3*q + (3*q - 3*q + 2*q)*(4 - 1 - 1) + 2*q + 2*q + 0*q - 4*q + 4*q - 2*q.\nAnswer: -3240*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 4. Suppose -11*b + 40 = -7*b. Determine u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 5*b**2 + 18*b - 20. Let u(c) = c + 1. Let j(g) = -o(g) + 5*u(g). What is the derivative of j(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 188\/16) + 6\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 + 18\/(-10). Let s = -3 - -7. What is the second biggest value in 2\/11, h, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2866833 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12854 (base 11) to base 13\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. What is the second derivative of 4*x**f - 3*x**5 - 2*x - 3*x - x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 0*f**2 + 2*f**2)*(1 - 1 - 2*f) + 5*f**3 + 2*f**3 - 5*f**3 - 3*f**3 + 0*f + 0*f to z*f**2 + j*f + o + d*f**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -39?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-27) - 1\/(-3). Let l(s) be the second derivative of -9*s + 1\/6*s**4 + 0 - 7\/2*s**2 + y*s**3. What is the first derivative of l(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10600000 rounded to the nearest 100000?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(135\/40)*(-102)\/68\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 9. Let n = 28053 + -28048. Solve 5*g + 5*x + n = 0, -2*g + 2 = 5*x - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-5*h + 2*h + h)*(0 + 2 - 3) - 4*h - 3*h + h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeuuuuueueee. What is prob of picking 1 u and 1 e?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*m**2 + 300*m**2 + 309*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/8*-38)\/((-21)\/(-252)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 14. What is the second smallest value in -0.4, d, 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -5 + 1\/3*g**3 - 1\/2*g**2 - g. Is l(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 15*y. Let x be k(1). Let z = x + -7. Calculate the least common multiple of z and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 14) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c**2 - 5*c - 15. Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 4*f + 4*f + f + f**2. Let p(m) = -2*m**3 - m**2 - 2*m. What is 5*l(y) + 3*p(y)?\nAnswer: -y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*l - 96 = -404, -5*g - 2*l - 408 = 0. Let n = g + 722\/9. Let p = -174\/5 + 35. What is the third smallest value in 0.4, p, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055418 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 219 - 167. What is the highest common divisor of d and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**1*f*f)**(-5\/7)*f*f**(-4\/7)*f**(-20)*f)**(9\/2) assuming f is positive.\nAnswer: f**(-720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -175 - -371. Let a = 356 - v. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 220 in 0.12, 5, 0.3, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1295087730 to the nearest one hundred thousand.\nAnswer: 1295100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/333 - -655\/3663. Suppose 0*f - f = 1. Is f greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 424\/5 - 85. Let u = -381 - -382. Sort u, 0.9, r.\nAnswer: r, 0.9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b - 36. Let k(a) = a + 4. Let m(w) = -6*c(w) - 52*k(w). Let u(v) = -v - 1. Give m(i) + 6*u(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -59 - -15 - (-77)\/(-105)*5.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5129, -5134, -5149, -5180, -5233?\n\"Answer: -d**3 + d**2 - d - 5128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399233097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (5 - 550\/5). Suppose -107*u - 2093 = -a*u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 6*c**2 - 7*c + 1. Let x(d) = d**2 + 3*d - 6. Let f be x(-5). Suppose -f*g = g + 35. Determine l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - 2114?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/12 + z**3\/6 + z**2 + 3*z. Let l be k(-2). What is the second derivative of 0*t + 2*t + 6*t - t**l - 4*t**4 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 68, 100, 134, 170?\n\"Answer: a**2 + 27*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 3. Let v(l) = l**2 + 4*l - 7. Let s be v(-6). Let n(w) = 3954 - 1964 - 4*w - 1986. What is s*a(g) + 4*n(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 45*z - 3 - 3*z**3.\nAnswer: -3*z**3 - 45*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + sqrt(180) + -3 - ((-4 + sqrt(180)*-4 + sqrt(180))**2 + 5).\nAnswer: -1648 - 138*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1216) - (sqrt(1216) + -1 + -2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 12*b**3 + 18*b + 25*b**3.\nAnswer: 13*b**3 + 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(5*z**2 - 41*z**2 - 4*z**2 + 2)*(-2*z + 0*z + 0*z)*(4 - 2 - 4) to j + q*z**2 + w*z + f*z**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 164. What is the remainder when b is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + (-14)\/(-8). What is the third derivative of 14*b**6 - b**6 + 7*b**2 - t*b**6 wrt b?\nAnswer: 1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 40363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/35*(-35)\/(-42). What is the closest to -1 in -0.1, -9, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1)\/(5*(-6)\/2 - -5)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21304 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x - 46. Let t = 83 + -87. Let d be h(t). Solve 9*g = 3*g + d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*l + 712, 2*l = 4*w - 0*w - 554. Suppose 3*d + w = -1. Let s = d + 75. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 8*y - 5. Let h be x(7). Suppose r = -h*z + 3*r + 82, -4*r + 4 = 0. Let f = z + -42. Solve f = 4*w + 7 + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + j - j)*(-4*j + 0*j + 0*j) + (0*j + j - 2*j)*(-j**4 + 3*j**4 - j**4) + j**5 + 3*j**5 + j**5 - j**5 + 5*j**5 - j**5.\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (0 + 6)\/1. What is the common denominator of (d\/(-15))\/((-16)\/(-5)) and 13\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -870.9*3\nAnswer: -2612.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3*q + 2*c**2*j*q - 7*c**2*j + 2*c**2*q + c*j - 13*c*q - c - 2*q wrt c?\nAnswer: -24*c*q + 4*j*q - 14*j + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 - (-4)\/3*(0 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/2, 15\/17?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81 - -87) + -48 + -4 + -1 + 5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14607, -14596, -14571, -14526, -14455, -14352, -14211, -14026?\nAnswer: -13791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(1\/21)*p*p**(1\/20) assuming p is positive.\nAnswer: p**(841\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6498, 184 in increasing order.\nAnswer: -3, 184, 6498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16635 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p - 45 = 0. Let x = -6 - p. Sort 4, 5, x.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 5883.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108654 or 108656?\nAnswer: 108656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*m - 4*m**2 + 2*m**3 - 7*m**2 + 8*m**4 + 11*m**2 to the form c*m + f*m**2 + b + r*m**3 + i*m**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3.55.\nAnswer: -17.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*j**3*t**2 - 3*j**3*t + 283676*t**3 + 2290467*t wrt t.\nAnswer: -130*j**3 + 1702056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 5 - x**2 - 5)*(-225*x - 471*x + 172*x) + 2*x**3 + 0*x**3 - 4*x**3 as b*x**3 + l*x**2 + r + m*x and give b.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + c - 4. Let l(x) = -2*x**2 - 1. Calculate -7*l(m) + 2*w(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 680 + -199. What are the prime factors of t?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16*1)\/(-1 - -3). Suppose 0 = r*j + 16 - 48. Suppose -3*a + 13 = j. Solve 0 = a*s + 2*p + 12, 2*s - p + 1 + 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (2 - 21 - 0). Let n = -10 + v. Suppose -m = 1 - n. Calculate the remainder when 14 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/383 or 1?\nAnswer: 34\/383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -7*f**2 + 2*f + 9. What is the derivative of y(v) wrt v?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - sqrt(200)*1)*1)\/(sqrt(100)\/(-1*sqrt(10)) + sqrt(1000)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h - 5. Let y = 88 + -85. Let a be g(y). Suppose -2*x = a - 3. Put 10, 5, x in decreasing order.\nAnswer: 10, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, 8292*a - 138 = 8290*a - 4*u. Let b(r) = r**3 + 5*r**2 + 3*r - 4. Let l be b(-4). Solve l = -n - 74 + a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854142442 to the power of 1\/3, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = q + 10, -2*d = -3*q + 2*q + 5. Let b(u) = -9*u - 1. Determine b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2897*w + 2 - 2898*w + 13. Give f(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*((-1)\/15)\/((-34)\/510).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 - 2*h**2 + 85*h\/6 + 56.\nAnswer: -(h - 7)*(h + 3)*(h + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -353*a - 380. Give h(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16413)\/6*(-5 - (-6)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*b + 3)*(0 - 48*b - 6 + 4) to g + p*b**2 + x*b and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:41 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 + -165. Suppose 0*z - 3*z = 12. Sort z, 3, g.\nAnswer: z, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 + -372. Let c be 8\/(-24) + w\/3. Calculate the highest common divisor of c and 294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/11 (b) 0.05 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*u - 185*u - 39 + 2*u**2 + 3*u**2 + 3 = 0. Calculate u.\nAnswer: -3\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -42. Suppose 5*t - 29 = -2*a, -r = -3*t - a + 5. Suppose 3*y - 4 = t*y. Sort 1, y, 5 in descending order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78455 + 3692228. Let f = d + -1550683. Suppose 0*i - f = 3*i. Round i to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907338959 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/7))**36*(i**1)**11 assuming i is positive.\nAnswer: i**(257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, 190, 825, 1714?\nAnswer: 2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2287 - -4265. List the prime factors of x.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3.8. Let q = -4.2 - -6. Let b = m + q. What is the smallest value in -2\/13, 4, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2261? (a) 0.07 (b) -2\/19 (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 - 87. Let p(j) = j**2 - 30*j + 84. What is the least common multiple of 78 and p(q)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2047, -2072, -2097, -2122, -2147, -2172?\nAnswer: -2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**2\/2 - 14*q + 2. Let a be j(-11). Let n be a - (-4 + 3 - 2). Solve -2*x + 3*f = -1, n*f + f = 2*x + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 23, 0 in increasing order.\nAnswer: -2\/9, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -54.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1.25357?\nAnswer: -5.25357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314.90001699 + -314.9. What is w rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -28 - 4*r + 2*r**2 - r**2 - 2*r**2 - 8*r. Let s be b(-8). Solve -s*z = 5*i + 4 + 5, 3*i = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*r - 49649 - 239. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -0. Let l(o) = 2*o - 8. Let j be l(6). Suppose -11 = -j*v + 5*s + 41, -x*s + 16 = 3*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 26198416*l - 42897312556816.\nAnswer: -4*(l + 3274802)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 4*q - 5*j, 0 = 2*q - j - 4. Suppose q*w + 2 = 6*w + a, -w - 3*a = 5. Let v be 21\/(-35)*(-1)\/(-3). Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 8\/3*o + 70\/9*o**3 - 26\/3*o**2 + 1 + 49\/12*o**4. Factor t(b).\nAnswer: (b + 2)*(7*b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83422.89 to the nearest one hundred.\nAnswer: 83400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*b, -8*o = -o - o - 3*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2295930 (base 10) to base 7.\nAnswer: 25341450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-12) + 2 + 4\/6. Let f = -2.4 + -0.6. Which is the closest to 2\/5? (a) -0.4 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from msmssssss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1611, -5584, -12207, -21480, -33403, -47976?\n\"Answer: -1325*s**2 + 2*s - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22928.517s in hours?\nAnswer: 6.3690325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 525\/12 - (-7497)\/(-153)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:56 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/5 (b) 2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ykkkykkkykykkykkkky?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -785064392 by -164.\nAnswer: 4786978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 883 = o + 400. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95*20\/(-100) - (-33 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2422*m + 4847. What is x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 187*v**7\/70 + 17*v**4\/8 - 2*v**3\/3 - 3*v**2 - 285. What is the second derivative of s(u) wrt u?\nAnswer: 6732*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - 706. Let c = x - -835. List the prime factors of c.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/16)\/(828\/736)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/22229 - -9491787\/44458. Let m = -3781\/18 + p. Calculate the common denominator of -12\/11 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-18 + 7 + 54)*(2 + 3 + 16) - 4 - 7 + 5)*(3 - 3 - j).\nAnswer: -897*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svs when three letters picked without replacement from {v: 2, g: 2, p: 6, s: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 19. Let r be b(17). Let x(z) = -25*z - 9. Calculate the remainder when x(r) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 16 = 0, 3*k - 2*l + 61 - 72 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:04 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -15*x - 3. Suppose 0 = -t - 1 - 2. Let d be k(t). Let f = -6 + 12. Calculate the greatest common factor of f and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106235*i**2 + 1656*i**2 + 5358*i**2 - 268853*i**2.\nAnswer: -368074*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10560400 is divided by 264007?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 26*i + 14*i - 1206 = 42*i for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558656.\nAnswer: 2, 39979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147065 (base 12) to base 16.\nAnswer: -53f8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * 12.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (128\/10)\/(2\/(4 - -136)). Let t = v - 557. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053592741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**3 - 6*s**3 + 12 - 9*s**3 + 5*s**3 - 14.\nAnswer: -26*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1355 (base 10) to base 13\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34056 is divided by 4256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(3\/23)*w\/(w\/(w**(1\/20)*w)*w))\/(w\/w**(-4\/3)*w\/w**(2\/25)*w) assuming w is positive.\nAnswer: w**(-23003\/6900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let c(u) = u. Let s(r) = 6*r + 1. Let g(n) = 2*c(n) - s(n). Calculate g(a(j)).\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -185 or -197?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2648 divide 1964309974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144382247 is divided by 1793?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -23754 smaller than -23733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) + 38\/(-6). Let x = 5 - r. Solve -5*b = 5*g - 15, 0 = 5*b + 4*g - 1 - x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 65, 2\/3, -5, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3729852 and 91\/43320.\nAnswer: 37298520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22137213 divided by -17867.\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 12728 in decreasing order.\nAnswer: 12728, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/11132 and -40\/5819.\nAnswer: 256036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -442.2 and -3.\nAnswer: 1326.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven fifths of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(2160\/1875) - -7. Let w(k) be the second derivative of -j*k**6 + 0*k**3 + 0*k**4 - 19*k + 0 + 5\/126*k**7 + 0*k**2 + 0*k**5. Factor w(o).\nAnswer: 5*o**4*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.881 + 9.880981154. Round j to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - a - a)*(46 + 40 + 267 + 183) in the form p + m*a and give m.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91721*o**3 + 196409*o.\nAnswer: 550326*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1301*t + 4711 + 4459 = -3840 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**10))\/(k*k*(k*(k\/(((k*k**(-1\/6)\/k)\/k*k)\/k*k))\/k)\/k) assuming k is positive.\nAnswer: k**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 6, 1, -2, -3 in descending order.\nAnswer: 6, 1, -2, -3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/10)\/(((-7644)\/(-105))\/14).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 499840300 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**6\/10 + 3*k**2 - 8*k. What is the first derivative of w(s) wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**3\/3 - 3*d**2\/2 - 2*d + 2. Let p(r) = -r**2 - 2*r - 1. What is -5*k(t) + 8*p(t)?\nAnswer: 2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1483?\nAnswer: -4\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2623\/12110 - -2\/865. Is -1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 85\/4*u**4 + 1\/3*u**3 + 0*u + 12 - 31*u**2 - 2\/5*u**5. Find the third derivative of y(g) wrt g.\nAnswer: -48*g + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/372 - (-1)\/(-3). Let a = l + 34\/93. What is the smallest value in a, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 - 5*v**2 + 1. Let d(r) = -r**3 + r**2 - 1. Let q(m) = -3*d(m) - j(m). Let g(x) = 4*x**3 - 7*x**2 - 7. Calculate 2*g(a) + 7*q(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/153036 and 80\/17560881?\nAnswer: 70243524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*z - 25 + 2 - 54 = -24, -4*z = -12 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238*k**4 + 748 wrt k?\nAnswer: -952*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -316 + 1891\/6. What is the second biggest value in a, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419 + 287. Let w = -109 - k. What is the smallest common multiple of w and 5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 2*g = 20*p + 2854, -5*g = -2*p + 1423. Calculate the highest common factor of p and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367399\/29 less than or equal to 12670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 3502 (c) -0.1 (d) -0.09 (e) -2 (f) 0 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5047 + -3606. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 4 = -22. Suppose -11 = 2*w - 5*u, 0*w = -5*w - a*u + 16. Let i(z) = 4*z**2 - 7*z + 3. Let m(v) = v. Let d(g) = i(g) + 5*m(g). Give d(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o**3 + 11*o**2 - 11. Let n(l) be the first derivative of 7*l**4\/4 + 2*l**3 - 6*l + 2260. Determine 6*c(h) - 11*n(h).\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpf when three letters picked without replacement from {p: 4, x: 3, s: 1, o: 2, v: 4, f: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*r + 54 = 104*r. Let y be (r - 3 - 3)*(-5 + 24). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3116475 divided by -5.\nAnswer: -623295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3309404 is divided by 4448?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 10. Calculate the remainder when 332 is divided by h(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/11085743 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7 = -9. Let d be o*(-8)\/144*(-4)\/2. Put -3, -15, -2, d in descending order.\nAnswer: d, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 + 3*o - 227*o**3 + 221*o**3 - 4 wrt o?\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 60*z**2 - 100*z + 5\/4*z**4 - 15*z**3 + 176. What is o in w(o) = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30432*r + 99896*r - 69465*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 4. Let c(j) = j. Let d(w) = c(w) - s(w). Let g be d(-4). Let u = 19 + g. What is the lowest common multiple of u and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102, 222, 354, 498, 654, 822, 1002?\n\"Answer: 6*n**2 + 102*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/6*24\/(-20). Let k = 21 + -19. Suppose k*b - x = 9. Solve 0*h - b = -2*m - 2*h, -3*m + 8 = 2*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29447*k**2*s**2 + 172*k**2*s + 6839*k**2 - 22*k*s**2 - 2*k - 125*s**2 + 39*s wrt s.\nAnswer: 58894*k**2 - 44*k - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) + (sqrt(81) + (sqrt(81) + 6*sqrt(81) + sqrt(81) - sqrt(81)) - sqrt(81)))*-4)\/(sqrt(300) + sqrt(300)*-2*3))**2.\nAnswer: 6912\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40430 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -169*x**7\/42 + 152*x**3 + 3*x - 1. Find the second derivative of i(k) wrt k.\nAnswer: -3380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*2\/4*3. Let o be 74\/z - 18\/(-27). What is the greatest common divisor of o and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19863?\nAnswer: 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 70\/53, -2, 0.2, -0.2, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 13*w**2 + 3*w - 32. List the prime factors of y(-14).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 43. Give h(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 941757863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = 0. Let z(f) be the first derivative of 0*f**3 - 3 + 0*f + 1\/4*f**4 + m*f**2. Factor z(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44287?\nAnswer: 67, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j + 3. Suppose 5*f - 10 = -5*a, 6*f + j*a = f + 2. What is the common denominator of (-4 - 9\/f)\/(42\/57) and -33\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + 3*t**2 - 2*t + 1. Let f(q) = 6*q + 15 + 29 + 24. Let c be f(-11). Determine k(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161066, 1\/6, 844 in decreasing order.\nAnswer: 161066, 844, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-104)*2*(-14 - -7 - 143\/(-33))\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**3 + 20*m**2 - 160*m = 0.\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 5 - 63)*(w - 9*w - 1 + w).\nAnswer: 588*w + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12394200 to the nearest ten thousand.\nAnswer: -12390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17470811?\nAnswer: 17470811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 8 = -4*s. Suppose 3*q = -s*r + 4 + 5, q + 23 = 3*r. What is the least common multiple of r and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 4*w**2 + 4*w - 4. Let q(f) = f**3 - 8*f**2 + 7*f + 3. Let v be q(7). Let l be d(v). Let i = 4 + l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h\/(h*(h**(-2\/5)\/h)\/h))\/h)\/h)*h)**3\/(h**(-4)\/(h**(-1\/2)\/h))*((h*h*h**(-5))\/h)\/(h\/h**7)*h**(-6)\/(h*h*h\/h**(2\/3)) assuming h is positive.\nAnswer: h**(29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 31 = 15*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 164*q**2 - 6423*q + 790. What is u(-65)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 43. Give i(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 13*b = -b. Let c = 0.6 - 2.2. Let a = c + 2. What is the nearest to -0.3 in a, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3\/319088 (c) -1\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.999915 - -16. Round g to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -17 - (11 + -2)) + 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304608 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: Suppose -25 + 7 = -3*u. Let p(i) = -2*i**4 - 7*i**3 + 7*i + 2. Let m(k) = -18*k**4 - 62*k**3 + 62*k + 18. Let h(q) = u*m(q) - 52*p(q). Factor h(y).\nAnswer: -4*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/2 + 1011*l**2\/2 + 495*l - 3024 = 0.\nAnswer: -336, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 55*z**2. Let u(k) = -19367*k + 19367*k + 5*k**2. Determine u(h(v)).\nAnswer: 15125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 2\/15 (c) -0.68 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73275 and 369025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5054 (base 6) in base 11?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13458999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63818366.\nAnswer: 2, 31909183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 12) in base 4?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -35. Let r = k + -12. Suppose r*p = -s - 45, -30 = 3*p + s - 5*s. Are p and -14 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 9. Let h be z(-5). Solve -1 + 5 = h*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/3 (b) -0.3 (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*v + 15*v + 10*v + v + 0*v - 3*v + (4 + 0 - 2)*(3*v + 2*v - 3*v))*(-2*v + v + 3*v) to the form q*v + t + l*v**2 and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8254981, -33019926, -74294835, -132079708, -206374545, -297179346?\n\"Answer: -8254982*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 3.8. Sort s, 1\/2, -5.\nAnswer: -5, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 = -5*f - 0*v, v - 8 = -3*f. Calculate the lowest common multiple of (0 - 27)\/(f\/(-2)) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:14 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -117833+-0.3\nAnswer: -117833.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -273*8\/(-84).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szs when three letters picked without replacement from {z: 2, s: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -5 (c) 2 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -255 - -5?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*t + 33, 4*i + 3*t - 118 = 14. Suppose -x + i = -0*x. Let f(b) = -90*b - 1347. What is the least common multiple of f(-15) and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 26*t. Let x(v) = v**2 + 37382. What is x(p(k))?\nAnswer: 676*k**2 + 37382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 253 + 251 = 21*a. What is the least common multiple of 130 and a?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26614691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0*b + 1\/2*b**3 - 1\/24*b**4 + 0 - 3*b**2. Let c be p(0). Solve -3*m - 4*y - 14 = 0, -c*m + 0*y = y - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*a + 2*a + 540 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.30529 or -3619?\nAnswer: -0.30529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -16 + -21 + 0 + 18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*s)*(3 - 3 - s)*(-3 + 2*s + 3).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14 - 64 - 157*h + 73*h + 77*h. Let a be k(-12). Solve -i = -a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l - 1. Let z(y) = 9*y + 20. Let t(c) = 80*c + 175. Let d(o) = -4*t(o) + 35*z(o). Determine 7*d(j) + 4*p(j).\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehubeueihieh. Give prob of picking 1 e, 1 h, and 1 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -105*(-26)\/195 - (3 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 4 - 33 - 2*c.\nAnswer: -2*c - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -22*b**3 - 29*b**2 + 19*b + 25. Let s be c(-26). Suppose 0 = 31*k - s - 442284. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 + -290981.7209?\nAnswer: -290981.6409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/32789 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + v + 2. Let l be w(2). Suppose 309 + 391 = 10*p. Let h = p + -40. What is the highest common divisor of l and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 262, 90 in ascending order.\nAnswer: -2, 90, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 66, 228, 546, 1074?\nAnswer: 1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71190*s + 754\/3*s**2 - 2\/9*s**3 + 638450\/9.\nAnswer: -2*(s - 565)**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 63 - 18 - 23)*(-d + 2*d + 0*d) to j + r*d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -537*i**3 + 18*i**2 + 9*i + 13. Let h be z(-6). Suppose 11*q - h = -36486. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938169973 to the power of 1\/3, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 171 - 85 - 84. Let p(j) = 1. Let s(y) be the first derivative of y**3\/3 - y**2\/2 + y - 1. Let h be s(0). Calculate h*p(i) - n(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/15 - (-12)\/(-30). Let s be (-3)\/d*0\/(-7). Sort -1, s, -31.\nAnswer: -31, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 23 + 19 = 0. Let r = i - -9. Sort -4\/7, -0.4, r in descending order.\nAnswer: -0.4, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/123)\/((-10)\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -135*p**3 + 2*p + 2. Let q(u) = -135*u**3 + 3*u + 3. Give 6*o(r) - 4*q(r).\nAnswer: -270*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = 2*c. Suppose 7 - c = d. Let g(h) = 2*h**2 - 2*h - 1. Is g(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 23*z + 40*z)*((0 - 4 + 8)*(0 + 2 - 3) - 3 - 3 + 4)*(2 + 1 - 4 + (-5 + 5 + 1)*(5 - 2 - 4)) as a + r*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9\/4 (b) -2\/5 (c) -9\/13 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -c8c75d?\nAnswer: -c8c75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 57 = 2*w. Suppose -3*r + 99 = -5*i - 14, 0 = 5*r - i - 159. Let x(j) = j + 7. Let z be x(-3). Solve -r = z*c - 3*l, 0*c - w = 2*c + l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieieuu. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -67*g**6\/3 + 363*g**2 - 2*g + 612. What is the first derivative of m(r) wrt r?\nAnswer: -2680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u + 141*u = 5055624. What are the prime factors of u?\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -17*o**5\/20 - 7*o**2\/2 - 24*o. Differentiate z(m) with respect to m.\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000401544 rounded to seven dps?\nAnswer: -0.0000402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 1319890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -468250, -468250, -468248, -468244, -468238, -468230?\nAnswer: -468220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 23 - 3*t**3 - 4*t + 0*t + 58 in the form q*t + f*t**3 + u + b*t**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 p when three letters picked without replacement from pppspxxxs.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 240 = 42*m, -2*m - 24 = -t + 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 841, 1.46, -0.4 in ascending order.\nAnswer: -0.4, 1.46, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 - 2*u**3 + 7*u**2)*(-2*u**2 + 4*u**2 - 3*u**2)*(3 + 2 - 6).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/(-20) - 228624\/7392?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 73\/9 + 188\/(-1692)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 40, -5, 60, -3, -2, -4 in descending order.\nAnswer: 60, 40, -2, -3, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:00 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 1 l when three letters picked without replacement from {r: 1, j: 1, b: 3, l: 3, d: 2, e: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1892 and 2175284?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110942520 divided by -46930.\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - s - s)*(2*s + 2 - 2) + 3*s**2 + 0 - 1 - 1 + 2*s**2 - s**2 + s**2 to p + w*s**2 + i*s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 2*h**2 - 1. Let v(d) = -d**3 + 15*d**2 - 14*d - 1. Let p be v(14). Let n be b(p). Which is bigger: n or -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 1566 - 6*l + 1558.\nAnswer: -13*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*z + 316.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 15*g**2 - 12*g - 19. Suppose 5*n = 3*f - 24 - 22, -f + 20 = 3*n. Is h(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -38*f**2 + 9*f. Let b(g) = 32*g**2 - 6*g. Let y(h) = 3*b(h) + 2*c(h). Let l(o) = -16*o. What is l(y(t))?\nAnswer: -320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-888)\/(-10) - (-1)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 59. Factor 3*n + 4*n**5 - x*n**3 + n + 115*n**3.\nAnswer: 4*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/3429303 + -4917615532\/8521817955. Let d = q + 2\/355. Let o = d + 23\/28. Which is smaller: -12 or o?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*h + 9, h + 4*h + 5 = -2*w. Let z be 4564\/112 + w\/4. Calculate the greatest common factor of 126 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 194 + 4*s - 117 to the form x*s + j and give j.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 383 + -387 - (-8 - (-1 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -24\/36717949?\nAnswer: -24\/36717949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 632709803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 4*k + (-k + 3 - 3)*(0 + 2 + 1) + 5*k - k - 2*k)*(4*k**4 + k**4 - 3*k**4).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546285.7 millilitres in litres?\nAnswer: 546.2857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30552 by 24.\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-16) - 22\/(-4). Let r = b + -6. Is 2 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 313*k - 1291. Let l be q(4). Suppose 3*r - 61 = t, -3*r + r + 3*t = -36. Solve -r*a - l = -16*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/625296 and -121\/37220?\nAnswer: 3126480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*j = 243*j - 328*j - 4301 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 12, -40*v + 44*v = 3*t + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 - 95) + 66 + -24.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/(-2)*975\/325\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h - 6 - h + 5. Let t(b) = -10 + 4*b + 19 - 7. Calculate -3*k(d) - t(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*n = -4*g + 16, 4*n + 1 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + 6*(sqrt(1300) + 0 + sqrt(1300) + sqrt(1300) - sqrt(1300)) - (3 + 4 + (-1*sqrt(1300) - sqrt(1300))))**2.\nAnswer: -254816 + 1120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*h - 32 = 0, 0 = 22*q - 26*q + h + 34. What is the remainder when 15 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 9:34 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5124200 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7808*a + 12809 = -110282 - 109814 + 29897 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 + 10?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032110086.\nAnswer: 2, 7, 17, 4336597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (13 - (-10 + -6 - -29)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 70. Solve 4*b + 4 = 0, 6*g - 2 = h*g - 2*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 31 + 3 + 11*y**3 - 34 - 2*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 28 - 30. Let o = -29 - g. Round o to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 27*f**2 - 24*f + 57. Let c be y(-26). Let h(o) = 7*o**2 - 3*o + 9. Let p(t) = 13*t**2 - 5*t + 17. What is c*h(r) - 3*p(r)?\nAnswer: -4*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:12 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3734044284\/715 + -5222437. Let c = m + -54\/65. What is the common denominator of c and 93\/82?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**5 - 5*g**4 + g**3 + g**2 - 5*g + 13. Let q(k) = -k**5 + k**4 + k - 3. Let c(p) = -2*h(p) - 9*q(p). Find v, given that c(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = 38437*p - 38379*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 115735.13902 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3057*w = 6237*w - 273480 for w.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -27\/275, 766, -0.1 in decreasing order.\nAnswer: 766, 4, 2, -27\/275, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-1))\/(0 + -1). Suppose -f + a*f + 3 = 0. What is the remainder when 3\/(-4 - -5) + 0 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o**3 + 276*o**2 - 424*o - 96 = 0 for o.\nAnswer: -1\/5, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*q + 85*q - 27*q**2 + 28*q**2 as i*q + l + y*q**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -19\/4160?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -187, -407, -631, -859, -1091, -1327?\n\"Answer: -2*c**2 - 214*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.53 - 0.23. Suppose -6*n + 15 = -n. Let v be (n\/6)\/(5\/8). Which is the biggest value? (a) -2\/13 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139803616.\nAnswer: 2, 4368863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -20*w - 2\/7*w**2 + 0 = 0.\nAnswer: -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - (-3 - (-12)\/16). Suppose 0 = -4*y + 22 + q. What is the smallest common multiple of 4 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t - 379*t - 213*t = 512*t + 15470 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 2892098?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*t**3*v**2 - 2*t**3 - 3*t**2*v + t*v**2 - 2*t*v + 131*v**2 - 392*v wrt v?\nAnswer: 64*t**3 + 2*t + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**4 + 3*f**3 + 27*f**2 + 1865*f wrt f?\nAnswer: 36*f**2 + 18*f + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-4)*(-12)\/18. Suppose 5802 = -p + i*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000100001 + -101010101001?\nAnswer: -1010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/4 (b) 12 (c) 5 (d) 2060 (e) 0 (f) 6 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7037?\nAnswer: 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74.8 - -75. Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/32688 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*i - 135*i + 156 = 0. Let y be i\/(-6) - (-2 - (-3)\/6). Let l = -7\/52 - 159\/364. Which is the biggest value? (a) -1\/3 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*j - 24 = 2*n - 176*j, 26*n = 4*j - 246 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 7796\/345 - -8\/115. Calculate the common denominator of 7\/10 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/1073440 or -86?\nAnswer: 3\/1073440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(405) + (sqrt(405) + -5*(-1 + sqrt(405)))**2)*-4 + 5.\nAnswer: -26013 + 1404*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 63*x**2 - 155*x + 16876. Determine l(61).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:57 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1663490 and 28\/45.\nAnswer: 14971410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 9.\nAnswer: -31\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -4*p**3\/3 + 23*p + 2. Let o(k) = 2*k**2. Determine o(u(l)).\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 281 = 88*q - 154. Solve -3*z - 2*k = q, -z = -11*k + 6*k - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1754983.029447 + -1754986. Let g = j - -2.97. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-45)*(18\/252 + (-2110)\/140)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 287123974 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 3\/70*l**7 + 0*l**3 - 11*l**2 + 0 - 1\/8*l**6 + 0*l + 1\/10*l**5 + 0*l**4. Suppose z(y) = 0. What is y?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64 + 23722)*(-1)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8338897.8 milliseconds?\nAnswer: 2.3163605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -78\/29, 36, 2\/9, -0.06, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13697*j - 397212. Give r(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43707 divided by 3340.\nAnswer: 43707\/3340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9120 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**3 - 32*v**2 - 32*v - 18. Let j(w) = w**3 - w**2 - w + 2. Let s(m) = -5*j(m) + n(m). Let o be s(28). Do o and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 6*f - 1. Let r be l(-5). Let p = r + -1. Is (-40)\/p + 8\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/30 - y**2. Let o(r) be the third derivative of 0*r**4 + 1\/60*r**5 + 2*r - 34*r**2 + 0*r**3 + 0. What is l(o(z))?\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -5025 - 171.856?\nAnswer: -5196.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.409815 kilometers?\nAnswer: 409815000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040524137 to the power of 1\/2, to the nearest integer?\nAnswer: 32257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 24 = -1. Suppose 5*p + 45 = r*y, -y + p - 7 = -2*y. Let z be 5\/(-20) + 130\/y. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23740 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -173, -288, -437, -632?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**4 + x**3 - x + 2. Let b(f) = 8*f**4 - 212*f**3 + 1188*f - 10. Let s(w) = -b(w) - 5*j(w). Find the second derivative of s(t) wrt t.\nAnswer: -36*t**2 + 1242*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*f - 5*f + 6*f)*(-7 - 3 - 2) to n + y*f and give y.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o + 4. Sort -4, o, 1 in descending order.\nAnswer: 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**4 - 25*g**2 - 11*g. Let t = 19 - 30. Let y(b) = 4*b**4 + 13*b**2 + 6*b. Let m(n) = t*y(n) - 6*c(n). Find the third derivative of m(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/29, 0.4, -66, 10.8, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o + 55. Let w(r) = r. Let s(f) = -t(f) + 5*w(f). What is the units digit of s(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 41. Let r be ((-4)\/f - -1) + -2. Let m(g) = -7*g - 1. Give m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100120020 + 1112?\nAnswer: 100121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 18*l - 9*l + 19*l as d + c*l and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f*f*f**0)\/f*f))**(5\/12)*f**(-2)\/(f**(2\/5)*f))\/((f**(-5\/6)*(f**(-1\/4)\/f)\/f)\/(f**(1\/8)\/((((f**(-3\/5)\/f)\/f*f*f)\/f)\/f))) assuming f is positive.\nAnswer: f**(289\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 2 - 2*g - 2*g)*(-2 + 1 + 8) in the form h + k*g and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -925, -5, 36, -10\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**5 + 465969*y**4 + 2643038*y?\nAnswer: -60*y**3 + 5591628*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:28 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.351 - 8.9?\nAnswer: -6.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j**2 - j - 17. Let b(v) = -5*v**2 - 6. Calculate 11*b(s) - 4*o(s).\nAnswer: s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22475614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12105, 24239, 36365, 48477, 60569?\nAnswer: 72635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j. Let s(u) = 1075*u**2 + 3*u - 2. Calculate i(s(d)).\nAnswer: 7525*d**2 + 21*d - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + m = 5, 4*l - 7*m - 2 = -2*m. Suppose -l*v = x + 2579995, 3*v - 5*x + 2580025 = -0*v. Round v to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 31*d + 42*d + 43*d - 116*d + 7 - 5*d**3.\nAnswer: -9*d**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7902578?\nAnswer: 2, 59, 193, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s = 177. Suppose -s = -4*j - 11. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -7*q - 12. Is 8*(-2 - 123\/q) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 85 = -4*y, -63 = 2*u + 3*y - 11*y - 237 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 261.7\nAnswer: 52.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -35. Let u = d + 18. Suppose 20726234 = u*o + 5726234. What is o rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 70, 0.41, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298734.8 milligrams in kilograms?\nAnswer: 0.2987348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-350 - 652 + 456)*(-11*s - 9 - 13 + 19).\nAnswer: 6006*s + 1638","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3583260506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 26*r + 6. Let z(n) = -9*n - 2. Let u(f) = 4*w(f) + 11*z(f). Let y(p) be the first derivative of 3*p**2 + 3*p + 43. Calculate 4*u(k) - 3*y(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + i - 7. Let z(d) = -d**2 + d - 8. Suppose 10*h - 24 = 4*h. Suppose 5*c + 6 = h*c. Give c*t(s) + 5*z(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + (-74 - -51) + 14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337061*n**3*o + 2*n**3 - 9*n**2 + 289*n*o + n - 59465 wrt o.\nAnswer: -337061*n**3 + 289*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:59 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)*q)\/q*q*q)**(-4)\/(q**1\/q**0))**(20\/9) assuming q is positive.\nAnswer: q**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3397 + -2661. What is the least common multiple of y and 128?\nAnswer: 2944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221012201 (base 3) to base 14.\nAnswer: -69ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 33. Let c(x) = x**2 - 2*x + 3. Calculate the remainder when m is divided by c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-225)\/(-6))\/5)\/((-12)\/(-224)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2374*m - 3 + 3 - 1046*m to the form q + h*m and give h.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -826\/6205 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**2 + 2 - 1 - 5*r - 7*r**3 + 16*r**3. Let t(v) = 13*v**3 + 13*v**2 - 7*v + 1. What is -7*p(h) + 5*t(h)?\nAnswer: 2*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) 0.2 (c) 4 (d) -123 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 97 = 4*y + 3*p, 4*p = 28*y - 112 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2337820950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -11*n - 3*u - 12, -5*n - 4*u + 15 = 0. Suppose 713 + 2353 = n*k. List the prime factors of k.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 64*h + 1. Let v be q(-1). Calculate the remainder when (69\/6)\/(7\/42) is divided by (-4 + v\/(-12))*28.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 + 28*z**2 - 69*z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 683235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 127*b**2 - 270*b + 29907. Let j(l) = 27*l**2 - 54*l + 5981. Let g(o) = -19*j(o) + 4*u(o). What is the derivative of g(x) wrt x?\nAnswer: -10*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12943 - 569. What are the prime factors of l?\nAnswer: 2, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 17 + 7 + 5. Let l(z) = -2*z - 4. Let j = 8 - 13. Give j*x(u) + 6*l(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 7, 193928 in descending order.\nAnswer: 193928, 7, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -69766 + g + 69766. Let c(i) = -12*i**2 - 24*i. Let o(k) = -k**2 - k. Let u(t) = -c(t) + 15*o(t). Give u(y(z)).\nAnswer: -3*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 747326.2um in kilometers?\nAnswer: 0.0007473262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 9:54 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p + 31121 + 18200 = 0. Calculate the highest common factor of p and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -32 (c) 4.1 (d) -0.9 (e) 8 (f) -1 (g) 1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 26*z**2 - 55*z - 28. Let o be k(28). Suppose -208 + 957 = 3*t + 4*v, o = 5*t + 4*v - 1251. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*c - 14 + 18, -6*u - 2 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 + 107. Let o = 24 + -17. Let r = 60 - 65. What is the nearest to 2\/3 in d, o, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g**3 - 51*g**2 - 17*g - 12. List the prime factors of x(14).\nAnswer: 2, 3, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**3\/6 + 3*u**2\/2 - 4*u - 33. Let z(f) = -7*f + 18. What is -39*b(c) + 6*z(c)?\nAnswer: -3*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 4*z - u, 5*u - 279 = -z - 3*z. Solve -z*f + 58 = -90*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104863230 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m - 9. Let j(n) = 8*n + 9. Let o = 7 + -14. Let x(r) = o*g(r) - 6*j(r). What is the remainder when 8 is divided by x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 367490262*w + 29704896 wrt w?\nAnswer: 367490262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(0 - 7 + 9*y**2 - y + 5).\nAnswer: -18*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from wgjmxtmjjgtg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 5. Let h(r) be the first derivative of -r**2\/2 - r + 19. Determine -3*h(q) + p(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 13. Let y = -4526 + 4533. Calculate q(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f + 34 = 0. Suppose k + f = 1. Let c = k + 27. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/30 and 181\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 65270*o + 783256\/3.\nAnswer: -(o - 4)*(o + 195814)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -616 - -1096. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 - 169. Suppose 4*l + 28 = 2*g, 0 = -d*g + 8*l - 10*l + 10. Solve -3*n + 2*c = n + 6, -g*n = -3*c + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 7 - 7.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4 - 3218181*k**3 + 666454612*k**2 wrt k.\nAnswer: 48*k - 19309086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 15*n - 8 - 10 + 10*n.\nAnswer: 25*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4 + 0 + 160*z - 6*z**2 + 3*z**3 - 151*z. Is 16 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -12\/10255, 0.14, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9121 <= -21839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/6)*n)\/n**(2\/9))\/(n**2*n*n*(n\/(n*n*n**(-3)*n*n))\/n*n)*((n**(1\/4)*n)**46)**(3\/17) assuming n is positive.\nAnswer: n**(1085\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -667 and 5.7?\nAnswer: -3801.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/5)\/((-2)\/15). Let q = 8 - j. Sort q, -3, 3 in descending order.\nAnswer: 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*w**6 - 187*w**5*z**3 + 2*w**2*z**2 - 100*w**2 - z**3 + 21 wrt w?\nAnswer: -6120*w**3 - 11220*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13429571 less than or equal to 13429570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -327 - -7171\/22. Let d be 2\/3 + (-2344)\/6. Let b = d - -1537\/4. Find the common denominator of y and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411829 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: What is the nearest to -5 in 1.908, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -28431\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-45) + (-7)\/(-2)*62\/155?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2503 is divided by 2446?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m - 12. Let t be (2 - m)\/((-1)\/(-8)). Let u be (t\/6)\/(4\/(-6)). Calculate the highest common divisor of u and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -0.36. Let w = 7.23 - 8.23. What is the third smallest value in 3\/4, h, w, -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 1 - 1)*(-b + 10*b - b - 2*b + 7*b - 4*b + (5*b - 5*b + 2*b)*(-1 + 1 - 1) + b - 1 + 1 + (-5 + 3 + 0)*(-2*b - 2*b + 5*b) - 2*b + 2*b - b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100221 - -1221020002?\nAnswer: 2001121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 52\/3 of a hour?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -2, -5 in decreasing order.\nAnswer: 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -293\/52 + 127\/26. What is the closest to 3\/16 in k, -9\/2, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/1)\/((-4)\/(-4)). Suppose -5*b + 2*l + 50 = 0, 4*l + c = -2*b + 3. Calculate the highest common factor of 56 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11592 = 3*w, 0 = 5*w - 2*w - 2*v - 11577. Suppose -14*f = -5*f - w. List the prime factors of f.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180837643 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 0*m**2 - 2*m**2. Let h be 30\/8 + (-2)\/(-8). Let j(g) = h*g - 4*g + 2*g. What is v(j(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 89 = -5*g - 12, 0 = 4*g - 60. Factor 32\/3*s**a + 0 + 8*s + 26\/9*s**3 + 2\/9*s**4.\nAnswer: 2*s*(s + 1)*(s + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose -4*g = 0, -3*v - v + m*g = -52. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40049*v**4 + 44204?\nAnswer: -160196*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1475733 divided by 7.\nAnswer: -210819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3331 (base 4) to base 10\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 103\/15 - 5\/((-75)\/2). What is the second smallest value in -2\/5, y, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = 0. Let b be 3 + -3 + (w - -12). Suppose r - b = -r. Solve r*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -196*u + 180. Give q(4).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 878 + -870. Solve -1586 = h*p - 1530 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349711 is divided by 6358.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 10 - 32)*(-p + 0*p + 9*p).\nAnswer: -272*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 132 + 1470 = 0. Let i = 243 - f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6728879857.\nAnswer: 7, 961268551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1256 + 1256. Solve -3*p + 9 + 0 = g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g + 4 = 0, -2*g + 3 = r. Let b(z) be the second derivative of -z**3\/6 - 43*z - 16. Let j(x) = -3*x + 9. Let f(n) = r*j(n) - 4*b(n). Give f(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 23*f - 7209000. Round f to the nearest ten thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 0)*1*(-20)\/(-30). What is the greatest common factor of b and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4311 - 4311.00002007. Round x to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -379 + 226. Let r = n + 238. Let t = 84.53 - r. What is t rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y + 65296 = 63*y + 80*y. What is the highest common factor of y and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 324, 286, 236, 174?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9088978*c**3 - 3738695 with respect to c.\nAnswer: 27266934*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 197 = -5*l - 118, 5*l + 5 = 0. Let g be (t\/(-248))\/(1\/(-4)). Let j be (2 - 1)\/((-2)\/(-18)). Sort j, g, -2 in decreasing order.\nAnswer: j, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 2*m + 0 + 7\/2*m**2 + 5\/6*m**3. Differentiate a(r) with respect to r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/6*294\/(-1127).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67312816, -67312812, -67312806, -67312798, -67312788?\nAnswer: -67312776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89125*k**2 + k - 25463?\nAnswer: -178250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Suppose w*b - 6 = b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 3*o**2 + 2*o. Let x = 2 - -1. Calculate the smallest common multiple of 12 and c(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b**2 + 14 - 2*b**3 - 14 to the form r*b + n*b**3 + f + y*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 395372579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2 - (0 + 2). Let o = v - -10. What is the lowest common multiple of (-2 - 15\/(-3)) + (-21)\/(-7) and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3362783?\nAnswer: 157, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19895, -20610, -21801, -23468, -25611?\n\"Answer: -238*u**2 - u - 19656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n + 19*n - 178*n + 32*n + 51*n + 36*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {f: 2, j: 3, y: 1, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011819699 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/52*(-8)\/3. Let i(f) be the second derivative of -1\/2*f**2 + 0*f**3 - 10*f + 1\/3*f**m + 0. Let s(u) = -2*u. Determine i(s(v)).\nAnswer: 16*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 24 = 9*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/360 + z**5\/180 + z**4\/18 - 2*z**3\/9 - 49*z**2. Factor o(d).\nAnswer: -(d - 2)*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*k, -5*g + 0*k = 5*k + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246076.\nAnswer: 2, 3, 7, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -12023?\nAnswer: 12017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 45*g**2 + 1\/105*g**7 - 11\/60*g**5 + 0*g**6 - 7\/6*g**3 + 1\/12*g**4 + 0*g + 0. Find the second derivative of l(i) wrt i.\nAnswer: 24*i**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**3\/3 - 415*f**2 + 172225*f - 1872. Factor g(x).\nAnswer: (x - 415)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.04 + 1. Let r = -266882\/5 - -53376. What is the nearest to 1 in 1, r, f, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 79794534362.\nAnswer: 79794534362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/1)\/(-5))\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/72 and -119\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 13982*m**2\/7 - 24444030*m\/7 - 24430050\/7.\nAnswer: -2*(m + 1)*(m + 3495)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133520, -267089, -400640, -534167, -667664, -801125, -934544, -1067915?\nAnswer: -1201232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2. Let q be 1\/(-3)*0 + r. Solve w - 1 = 4*w - 2*x, -q*x - 5 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 845, 0.17, 3, -1, -3, 13 in increasing order.\nAnswer: -3, -1, 0.17, 3, 13, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1765456 (base 8) to base 10\nAnswer: 518958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 - 5*d + 3. What is the tens digit of g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2096\/12 - 18\/81. Let a = l + -174. Factor 4\/9*t + 1\/9*t**3 + a*t**2 + 0.\nAnswer: t*(t + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/240128 and 101\/225120.\nAnswer: 3601920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let t(y) = 4 - 4 - 3*y**o. Let w(g) = 48*g - 100*g + 52*g + g**2. Give w(t(b)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 697554.8 minutes?\nAnswer: 41853288000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1053) + 2 + (-1*sqrt(1053) - sqrt(1053)) + sqrt(1053)*-2 + 4)**2 - (-3 + sqrt(13)*3 - (-5*(sqrt(13) - (sqrt(208) + sqrt(13))))**2)) + 5.\nAnswer: -73575 + 1635*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -27515.3545?\nAnswer: -27515.2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*z + 4 = 2*f, 1 = 4*f + z. Suppose 5 = -8*j + 9*j. Suppose -195 = -f*a - j*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24457*w**3 + 19154*w**3 + 32977*w**3.\nAnswer: 76588*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmucgjuuoojg. What is prob of picking 1 m, 2 o, and 1 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20271)\/466*(-8)\/(-30)*80\/32.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 26*o = -8. Suppose z - o*t + 6*t - 543 = 0, 0 = z + 2*t - 547. Calculate the greatest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, r: 2}. Give prob of sequence vr.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2018421 by -1.\nAnswer: 2018421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*h**3*l**4 + 4155*h**3*l**2 - 15*h**2*l**2 + 390*h*l**5 wrt l.\nAnswer: -2976*h**3*l + 23400*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 1. Let f be x(4). Let z be (-2 - -1)\/(f\/6). Suppose v + 777 = 4*k - 203, 2990 = -3*v + z*k. What is v rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -7*l + 12*l, 0 = -2*u - 5*l + 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 64 = -2*s. Solve -g = s*n - 11, g + 3*n = 4 + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -3a56?\nAnswer: -3a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-196)\/(-10) + 2\/5. Suppose -2*y - 4*t + 8 = t, 0 = -5*y + t + x. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 206.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 353920789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -3*h - 270. Let s be (h\/(-10))\/(1\/5). Suppose 2*w + i = 3*w - s, -4*w + 288 = 4*i. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.287 + 0.487. Which is the nearest to 2\/53? (a) -0.2 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139795 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -8*r - 24. Let j be r\/5 + 8\/(-20). Let p be j\/(-6) + 32\/12. Solve -3*o = -p*i + 6, 2*o + i - 2 = -0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b1c43 (base 15) in base 12?\nAnswer: -1257769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 8. Let v be i(-8). Suppose -185 - 405 = -5*j. Let o be j\/(-440) + (-1)\/(-4). Is v >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*1\/((-16)\/8). Suppose -p*v - 450 = -756. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26812 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5, h = 4*s + 3 - 12. Let b(j) = -7*j**2 - 2*j + 1. Let u(l) = 4*l**2 + l - 1. Give h*u(n) - 3*b(n).\nAnswer: n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 59. Let p be ((-72)\/20)\/(9\/k). Let q = p - -40. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 3*k = 275. Calculate the least common multiple of 4 and k.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = 5*f, -f + 52 = 2*q - 0*f. Suppose 2*c + 5*u = q, -3*u = -6*c + 2*c + 4. Solve c + 1 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c + 310. Let n(j) = -5*j + 62. Determine 19*n(y) - 4*q(y).\nAnswer: -3*y - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -21, -1, 1\/3360 in decreasing order.\nAnswer: 1\/3360, -2\/25, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 6*d**2 + 7*d - 10. Let g be s(5). Suppose -6 = -2*c - g. Suppose 2*y + 9 = -1, -5*y = c*h + 16. Solve 3*i + 2 = 4*k + 6, i - 8 = h*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - 8)\/((-27)\/(-369)). Sort z, -5, -1.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*j**3 - 27*j**3 + 64*j**3)*(0 - j + 0) + (5*j + j - 5*j)*(j**3 + 0*j**3 - 3*j**3) in the form q*j**2 + y + x*j**3 + b*j + u*j**4 and give u.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -4.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18004 = 9*j. Suppose -c - j + 7720 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*(16988\/(-217) + 72)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.74957808 to one decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1474942 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 602394000 rounded to the nearest 1000000?\nAnswer: 602000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(44)\/(-5*2*sqrt(4)))**2.\nAnswer: 33\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 20*n**2 - 526*n + 1044. What is the lowest common multiple of r(2) and 162?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 z when three letters picked without replacement from {b: 4, z: 1, j: 3, i: 2, t: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:00 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28 - 4) + (0 - 0). What is the highest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14480 - 14516.085. Let b = 0.15 - -35.85. Let j = g + b. What is j rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.915 (b) 104 (c) -0.5 (d) -0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20051 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:30 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2904 + -2966. Which is the nearest to 1? (a) 0.21 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 5\/1)\/(-1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6150 and 984?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -775 (b) -2\/11 (c) -0.04 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -8. Let w = b + 2. Is 4 a factor of 2 + w - (-20)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 176.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = -16. Suppose -13 + 43 = 10*y. Solve -y*j + r*j = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2 + 7*z - 4. Let i be q(-7). Let w = i + -228. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8057869?\nAnswer: 733, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let n be 80\/(x + (-34999)\/17500). What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -10001100010101011001101101?\nAnswer: -10001100010101011001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Let u be (1 + t)\/((-1)\/(-5)). Suppose -4*s = -0*n + n + 12, -15 = u*s + 5*n. Are s and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*o + 41*g**3 - 43*g**2*o*y - 2*g**2*y**2 - 2*g*o*y**3 + 3*y**3 wrt o?\nAnswer: 2*g**3 - 43*g**2*y - 2*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 39240 - 12916 = 0. Which is bigger: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*b + 905 + 441 + 447 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -66, 0.13, 4\/5, 0.4, 80.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-39)\/12*10\/5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5794 divide 1118137708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -786.0575 + 0.0575. Let j = -785.7 - s. Which is the third biggest value? (a) j (b) 0.2 (c) -1\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -35, -0.1, 3\/2, -4 in descending order.\nAnswer: 3\/2, -0.1, -0.5, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 1640 = -c - l, -l = -3. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110111100110 - -101?\nAnswer: -1111110111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -4095*s**3 - 10*s**2 - 26*s. Let w be l(14). Round w to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 703 in descending order.\nAnswer: 703, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 49.000084. Round f to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g + 6 = 0, 2*g = 2*d - 16. Let u be 1 + (d - 6)\/(2*-1). Calculate the highest common divisor of u and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192610 divided by -38522?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -345 - -345.3. Put 11, i, -2 in decreasing order.\nAnswer: 11, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y**2 + 6*y - 4. Let a(i) = 7*i**2 - 3*i + 2. Determine -5*a(t) - 3*g(t).\nAnswer: 4*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 4410.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2911265 or 9?\nAnswer: -1\/2911265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(44) - sqrt(11)) + (sqrt(165)\/sqrt(5) + sqrt(33))\/sqrt(3).\nAnswer: 5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740513.\nAnswer: 740513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 3)*(-6 + 2 + 1)*(-63*y**4 + 228*y - 228*y) to the form x + j*y**4 + w*y + i*y**2 + a*y**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20728690447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -2*(-4*sqrt(11) + -4 + sqrt(11) - sqrt(99)\/(sqrt(9)*2))**2).\nAnswer: -1839 - 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*o - 165*o = 170 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 2. Let g be n(2). Suppose -y - u = 3 - 4, 3*u + 12 = g. Suppose y = -7*f + 8*f. What is the highest common divisor of 20 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 52726, -57, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(-6 + 6*h + 6).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348.0729 + -0.0729. Let i = c + -329. What is the third smallest value in 0.1, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/120 + a**5\/12 + a**4\/12 + a**3\/3 + 4*a**2 - 19. Let g = 60 - 65. Give p(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*u = -704*u - 144 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-2 - sqrt(5)) + sqrt(5) + 4 + sqrt(125) + sqrt(5))**2 - sqrt(25)\/(sqrt(30)\/(sqrt(6) - sqrt(6)*-1)))*-6 + 2.\nAnswer: -214 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*a + 9. Suppose 0 = -3*n + 95 - 38. Solve -j - n = -2*j + a*z, 5*j - 5*z = 45 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 7. Let m be y(8). Let t be ((-32)\/(-80))\/(m\/(-10)). Is 375\/60 - (-1)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -3\/52 (c) 2\/3 (d) -5\/2 (e) -0.1 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32639?\nAnswer: 127, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Let k be (-1)\/(-2)*(0 + -2). Let w(g) = -g - 1. Let y(x) = -2*x - 9. Let n(c) = k*y(c) + 3*w(c). Give n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 69 + 59. Suppose 21 = 5*q + 3*j, q - 3*q + t*j = -27. Are 22 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403503149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 + 298. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/3 - 33\/(-9). Solve -6 = 2*v - 3*m - 0, -m = 3*v - k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three fifths of a litre?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 1, u: 2, l: 4, r: 9}. Give prob of picking 1 l and 1 r.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 59*d**2 + 1226*d - 59. What is the tens digit of y(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - (-5 + 3 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*c + 3434 - 469, 14781 = 5*v - 2*c. List the prime factors of v.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.37058 centimeters?\nAnswer: 53705800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/184960 and 53\/3264?\nAnswer: 554880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38892582?\nAnswer: 2, 3, 19, 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 203*k - 3*k + 182*k.\nAnswer: 387*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555612868 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1760\/7 - 251. Suppose -17*c = -30*c. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7945 and 1120?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1599 and 861.\nAnswer: 11193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 1653*a + 4 = 1655*a, -7*l + 3*a - 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43284.912 rounded to the nearest one hundred?\nAnswer: -43300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -1. Let s = 2 - z. Suppose 4*u - 5*b = 1, -s = -b - 4. Put -3, -4, u in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4588576*b + 10138374 wrt b.\nAnswer: 4588576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o + 19. Let y = -2071\/4 - -517. Which is the nearest to -1? (a) o (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9801 divided by -81\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 38*c**2 - 16*c - 40. Let i be t(13). Suppose -f - 6*f = -i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9694 to 2 dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 5 - 5)*(1 - 1 + 2) + (80 + 59 + 50)*(-2*o + 5 - 5) to the form d + n*o and give n.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 10*v + 9*v - v + (-5 + 2 + 2)*(-1 + 1 + v) in the form p + x*v and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 5*j - 2*l + 7*l, 0 = 3*j - 2*l + 73. Let w = j + 43. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -18 - 30 - -19 - 6) + 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, -25, -77, -159, -271?\n\"Answer: -15*h**2 + 23*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*p - p - 31, -2*p - i + 44 = 0. Suppose -3*v = 5*g - 82, 3*g - p = -3*v + 31. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76988877 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**3*w**2 + 5*g**3*w + 5599*g**3 + 2*g**2*w**2 - 103095*g**2 wrt g?\nAnswer: -48*w**2 + 30*w + 33594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3488 by 872.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -8 - (-14 - 3) - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*1400\/(-105)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 91. Suppose r = -5*p + 3*p + 6. Solve 2*c = 5*n + p, n + 2 = -n + c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7 + 2 + 5 + l**2 - 8*l. Let n be k(10). Let o be (2 - 2) + 0 + n. Solve -5*g + 4 = -h, 3*g = -h + 6*h + o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 7\/12)*1528\/2865?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.8 + 9.687. Let t = 3.943 + j. Round t to one decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -4, -52?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4723 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 1 (c) -0.02 (d) 13\/3 (e) 17366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -48*a + 651. Give m(19).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let n(j) = 1. Calculate -n(i) - 3*s(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 28\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 5*t**3\/3 + 11*t**2\/2 - t. Find the first derivative of n(g) wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + 1551?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -3\/4, -0.04, -2, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -22. List the prime factors of (n\/5)\/(9\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33774536 and 5446.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7870 and 12?\nAnswer: 47220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 232*y**2 - 21*y - 1. List the prime factors of f(-6).\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5336 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13797588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -24*z - 27 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111210010222 (base 3) in base 2?\nAnswer: 11000011111110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/(-33) + 2 + (-357525)\/(-165) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -151. What is the least common multiple of 138 and t?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 2*z + 3*z. Suppose z = 3*h + 2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.936429 to 1 decimal place.\nAnswer: -41.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + (-1 - 1) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {r: 3, f: 1, k: 4, n: 4, x: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 1\/4*u**2 + 1\/12*u**3 - 1\/12*u - 1\/6 - 1\/12*u**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*f + 26, 5*f = 3720 - 3715 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 16*c + 675. Let b(k) = 27*k + 1350. Calculate -3*b(d) + 5*r(d).\nAnswer: -d - 675","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.165 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/7 - 10*a**4\/7 + 16*a**3\/7 = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(17\/459). List the prime factors of -3*(-4)\/d*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 133989558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8\/3 (b) 8 (c) -10 (d) -4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77032 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/50 - ((-92)\/(-10))\/(-2). Let 5 - 4*d**2 - 12 - 28 - s*d + 33*d + 11 = 0. Calculate d.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 434836629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -427, -1520, -3045, -4762, -6431?\n\"Answer: 40*a**3 - 456*a**2 - 5*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -43*g + 56*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -30. Which is the third smallest value? (a) n (b) 0.5 (c) -0.4 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**4 - 5*x**3 + 3*x**3 + 4*x**2 + 9*x**4 as s*x**2 + y*x**3 + t*x**4 + z + u*x and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let n = 11 - 6. What is the highest common divisor of j and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 - (5 + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2798298 divided by 466383?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Let o = p - -6. Solve 3*r = -o, 2*k + 2*r + 15 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:44 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/6)\/o)\/o)\/(o*(o\/(o**3*o*o))\/o))\/(o**(-5)*o**(-2))*((o**2)**(9\/8))**(-17) assuming o is positive.\nAnswer: o**(-349\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**2. Let n(o) = 178*o. What is b(n(q))?\nAnswer: -316840*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -67858.48 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.5, -0.5, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwcndwzss. Give prob of sequence ds.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 - 8*k**2 + 3471 - 3471.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gekfeege. What is prob of picking 1 g and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -131, 4, -97\/3, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 4*u - 15*u + 9*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - -2.9. Let x = -1 - -2. Which is the closest to -1? (a) x (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1)*z))**(-31) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 - 21940104*s\/11 - 60171020441352\/11.\nAnswer: -2*(s + 5485026)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -1\/6*z**3 + 0 + 3*z + 0*z**2. Let t(g) = g. Calculate t(y(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l**2. Suppose -k + 8*g + 104824 = 11*g, g = 4*k - 419296. Let f(q) = 104824*q - 4*q**2 - k*q. What is f(u(t))?\nAnswer: -1156*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Let o be (1 + 0)*(4 + v). Solve -3*l = -4*l - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - u - 4)*(-3 + 3 - 3*u**3) - 3*u**3 + 3*u**3 - 3*u**4 + (0*u**2 + 2*u**2 + 0*u**2)*(u**2 + 3*u**2 - 3*u**2) + 1 - 1 + 2*u**4.\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6289*d**3 - 22*d**2 + 2*d - 37 wrt d.\nAnswer: 37734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 448*j + 16565. Determine g(-37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108723583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.37 - 9.37. Let k = -0.1 + -9.2. Let r = j - k. Which is the biggest value? (a) r (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8393399*k + 550 = -8393421*k for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 82 = 5*x + 3*s, -5*s + 50 = 5*x. Calculate the least common multiple of 4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -42. Let v = k - 13. Suppose 2*w - 11*w + 54 = v. Solve 9 = -3*o, w = 4*x + o - 3*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.7 - -6.3. Let d = 2077 - 2054. Let f = y - d. What is the third biggest value in 2, f, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*5435\/110874.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 15}. What is prob of sequence mmh?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 + (1 + -3 - 13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*j + 73*j + 70*j = 247 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 3, k: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-9))\/(1\/(-36)). Suppose 5*b = h + 1. Let o = 123 - 118. What is the least common multiple of o and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22003279999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2754 and 47\/12114.\nAnswer: 1853442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -182866635.4 plus 10?\nAnswer: -182866625.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 29, 73, 135, 215, 313?\n\"Answer: 9*o**2 - o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + (2 + sqrt(99))*3*1 + 1*-6*sqrt(99)*-1)*2)**2.\nAnswer: 62208*sqrt(11) + 1163952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -69. Differentiate -23*j + 7145*j**4 + i - 76 - 7146*j**4 with respect to j.\nAnswer: -4*j**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 27*l - 1 + 7 - 6 to u*l + x and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 7*r + 11. Let z be u(6). Solve 3 - z = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001001001 + -1?\nAnswer: 101010001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)*o)**(-6)*o\/(o\/(o\/(o\/(o**(-1\/8)*o))))*o**(-4))\/(o*o**(2\/5)*o**6*(o*(o*o**(-5)*o)\/o*o)\/o**(2\/7)) assuming o is positive.\nAnswer: o**(-4659\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 9\/((-36)\/8). Solve -c*p = -0*p - 4, 27 = -5*y + p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1473, 1495, 1531, 1581?\n\"Answer: 7*k**2 + k + 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/44 (b) -9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -13*b**7\/1260 - b**4\/3 + 8*b. Let j(p) be the third derivative of s(p). Let h(w) = 2*w. Give h(j(k)).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - h + 2. Let w(f) = -23*f**2 - 24*f + 21. Let y(s) = w(s) - 12*z(s). Determine y(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9674, 9738, 9792, 9836, 9870?\n\"Answer: -5*k**2 + 79*k + 9600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14249687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, d: 1}. What is prob of sequence wd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756321033.\nAnswer: 109, 1069, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1737*h**3 - 92*h**2 - 8934*h - 9 wrt h?\nAnswer: 10422*h - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110000001 (base 2) in base 5?\nAnswer: -21114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 324303b + -6?\nAnswer: 3243035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 999, 2118, 3237, 4356, 5475, 6594?\nAnswer: 7713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138780 is divided by 1374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 207324.\nAnswer: 207324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050516 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 3. Let m be w(-3). Suppose -4*g - 5*o = -72, -3*g + 5*o = -2*g + 7. Suppose g*j - 76 = m*j. What is the greatest common factor of j and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 8*b - 6. Let j be i(-9). Is (39 + (1 - j))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*z - 26*z - 30*z. Which is the third biggest value? (a) z (b) 3\/5 (c) -7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4*t - 9522*p**4 + 18*p**3*t + 2*p**3 - p**2*t + 42*p**2 + 3*p + t - 45 wrt p.\nAnswer: 48*p*t - 228528*p + 108*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.86669 micrometers in nanometers?\nAnswer: 58866.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 83 - 9 - n + 5 + 5 to a*n + h and give h.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -17.3. Let c = -3.7 + a. Let v = 4.8 + c. What is the biggest value in -0.1, -4, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 96994 + 97588 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2*l - 7. Let g be x(5). Suppose w - g = -w - 5*z, -3*w + 4*z - 11 = 0. Sort 2, -5, w in ascending order.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {h: 3, i: 3, t: 10, v: 4}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f + 1. Let r(c) be the third derivative of 3*c**5\/20 + 11*c**4\/24 + 11*c**3\/6 + 12*c**2. What is -22*a(l) + 2*r(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9*g = -28, 5*z + g - 157788 = 0. What are the prime factors of z?\nAnswer: 11, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (494\/(-10754))\/((-104)\/16)\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.8, -2, 3, 49?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 + (1 - 1) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43712420 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -859142 - -66152802\/77. Let o = -168\/11 - w. Which is the smallest value? (a) -2\/9 (b) 2\/49 (c) -4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9293451 rounded to the nearest ten thousand?\nAnswer: 9290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1096, 2161, 3228, 4297, 5368?\n\"Answer: c**2 + 1062*c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768385.\nAnswer: 5, 239, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1554457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 9. Let t be x(-10). Let c be (-2)\/3*-6*t. Let h(l) = l**2 - 2. Determine h(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 180.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -934 (base 12) to base 9\nAnswer: -1744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1373 in 93, 4, 0.65, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -20. Let k = a + 5. Calculate the smallest common multiple of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:15 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.3282 to the nearest integer.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 11 (b) -2 (c) -1975\/211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -981 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - l**2 - l + 1. Let a be q(1). Let m(w) = w. Let f be m(0). What is the third derivative of -6*u**4 - 3*u**4 + a*u**2 + 2*u**4 + f*u**2 wrt u?\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1632.02 to the nearest ten.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 84*v - 6*v - 647332. What is the thousands digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83536 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/4, 0.1, -2\/15, 0.03 in descending order.\nAnswer: 0.4, 0.1, 0.03, -2\/15, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 116*w**3 + 104*w**2 + 224*w.\nAnswer: 4*w*(w - 28)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 308640288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2222 and 2.\nAnswer: 0.4444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -8, -5 in ascending order.\nAnswer: -8, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 675*r**4 - 1935*r**3 + 1083*r**2 + 171*r + 6 = 0?\nAnswer: -1\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645390 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -67b062?\nAnswer: -67b05a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 + 4*l**3 + 10*l**2 - 12*l = 0. What is l?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -49. Calculate the highest common divisor of 27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 24*p - 15. Give j(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 n when four letters picked without replacement from nqnmhq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -390 + 1260. Suppose -9*w = -m - 138. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 5*o**2 + o - 50. Let l(z) = -2*z**3 - 6*z**2 - z + 51. Determine 3*g(n) + 2*l(n).\nAnswer: -n**3 + 3*n**2 + n - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 6 - (13 + -3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3\/4 - 3*w**2 - 3*w = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9414898 is divided by 722?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/3)*u)**(-4\/17)*(u*u**(-7))**(1\/25) assuming u is positive.\nAnswer: u**(-106\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*q**2 + 3*q**3 + 84*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -127b13 (base 16) to base 3\nAnswer: -2021112101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 105\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/15 - 2\/(-10). Suppose k - a = -4*j, 5*k - k + 5 = 5*j. Solve 0 = -k*c + 2*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - 2*y - 27. Calculate r(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150210226 to the power of 1\/2, to the nearest integer?\nAnswer: 12256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -101*g**2 + 2*g + 1. Let f be b(-1). Let d = -716\/7 - f. Let c = 0.302 - -0.798. What is the second smallest value in d, -2, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t - 0*t. Let r(l) = t - 2*l + 0*l - l**2 + 5*l. Let n be (4\/6)\/(8\/60). Determine r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:09 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:54 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*p**4 + 3*p**3 - 15711*p**2 - 228839*p + 90?\nAnswer: 96*p**2 + 18*p - 31422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**24)\/(x\/(x\/x**(-39))) assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 40*z**3\/3 - 17*z**2\/2 + 17*z - 1834. Let g(c) = -13*c**2 + 6*c - 6. Determine -17*g(p) - 6*r(p).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267 + 667. Round w to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 1176*i**2.\nAnswer: -4*i**2*(i - 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x - 1. Let v be w(-1). Suppose 3*g = -9*g + 60. Suppose 505 = g*j - v*m, -j + 85 = 4*m - m. List the prime factors of j.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12126.8959 and 217.\nAnswer: 12343.8959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/93)*p\/((p*p\/((p*p\/(p**(-2\/19)*p)*p)\/p*p)*p)\/p))\/(p*p\/(p**(-8\/11)*p)*p**37*p) assuming p is positive.\nAnswer: p**(-750278\/19437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.309 - -9.7135?\nAnswer: 10.0225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140764676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 21 = -a, 5*a + 9 = 4*b + 38. Suppose -a*v + 8*v = 0. Suppose v = -3*k - 2*k, 2*k + 13 = w. What is the remainder when 61 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 148315614.3ns?\nAnswer: 0.00000024523084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-172)\/(-14) + 2\/(-7). Suppose -6*c = -2*c + 4*t - 744, t = 4*c - 749. Let k = c - 79. Calculate the greatest common divisor of q and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*g**2 - 242\/5 - 123\/5*g = 0. Calculate g.\nAnswer: -121, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21596172 + 126*t - 21596172.\nAnswer: 126*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144 or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 5*s - 3*s, 16 = 2*z + 5*s. Suppose 14 = 5*d + z*l - 31, -5*l - 25 = 0. Let n(y) = -y**2 + 14*y - 11. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106636 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6059783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {w: 4, y: 14}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -21. Let k(z) = z**3 + 8*z**2 + 5. Let f be k(r). Let m = 4 - 1. What is the smallest value in 0, f, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57, 478, 1667, 4008, 7885?\n\"Answer: 64*x**3 - 27*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 9*a + 10*a - 6, -4*s - 1 = 3*a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004595 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/((80\/3216)\/(305\/244))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**3 + 0*z**3 - 4*z**3)*((1 + 2 - 1)*(1 - 2 + 2) - 14 - 18 + 25 + 0 - 5 + 3 + 0 - 1 - 1 + 2 + 0 - 3 + (-3 + 1 + 0)*(-3 - 3 + 5)).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -1, 55, 143, 269, 439, 659?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 8:34 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -15. Let m = -97\/2 - -50. What is the nearest to -1\/2 in m, o, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*q - 801, f + 28 = -3*q + 183. Suppose 0 = -b + 3*b - 110. What is the remainder when f is divided by b?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 17 + 5. Suppose 0 = 5*d + 4 + 1. Let f(j) = -j**2 + 2*j + 10. Let w(c) = -c - 1. Let q(z) = d*f(z) + o*w(z). Give q(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125151?\nAnswer: 3, 13, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 - -623.071198.\nAnswer: 641.071198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*x + 16854095 + 13475820. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59.2 + 59.5. Which is the nearest to -0.8? (a) 5\/4 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49, -98, -147?\n\"Answer: -49*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = s - 25 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1207, -3610, -7207, -11998, -17983, -25162?\n\"Answer: -597*i**2 - 612*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1117 or 0.1?\nAnswer: 1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110324098 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Let d = 10 + -22. Let m be ((-9)\/6)\/((-9)\/d). Put f, m, 3 in descending order.\nAnswer: 3, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*y**3 - 4*y**3 - 4 - 3*y**2 + 2*y**3 + 3*y**2 + (-4*y**3 + 3*y**3 - y**3)*(3 + 0 - 1).\nAnswer: -3*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1810771 divided by 9.\nAnswer: 1810771\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-384)\/(-30) - 14)*(-5)\/2. Solve -x*w - 5*d = 24, 2*w - 44*d = -39*d + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6046278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -115a7a2 (base 14) in base 12?\nAnswer: -2938636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b**2 - 2*b**2 - b**2)*(6*b + 4*b + 11*b)*(-4 + 2 + 3) in the form j*b**3 + k + l*b + u*b**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1808342288 rounded to 3 dps?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = s + 9, -3*j = -3*s - 0*j + 21. Let c be ((-10)\/(-15))\/(16\/48). Sort -4, c, s, 1.\nAnswer: -4, 1, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from kvkvxqr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:19 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukmropr. Give prob of picking 1 m and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174750470 to the nearest integer?\nAnswer: 13219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-3\/4)\/r*r))\/(r*(r\/r**(-7))\/r*r)*r**(-2\/5)*r*r*r**(4\/5)\/r*r*r)**(2\/35) assuming r is positive.\nAnswer: r**(-11\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733 is divided by 577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 69 - 76 = -u, -4*u - 8 = -4*r. Which is the fourth smallest value? (a) u (b) -3 (c) 14 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**(-14))\/(i**(-13)*i))\/(i\/i**(-5)*i)**(2\/115) assuming i is positive.\nAnswer: i**(3321\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 127 - 663 = -258 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 2. Let j(l) = -206*l**2 + l + 6. Give j(v) + 3*x(v).\nAnswer: -209*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*z - 71, 2*b + 14 = 3*b + 5*z. Suppose -13*v - 94 + 120 = 0. What is the greatest common divisor of v and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -118a5 - 16?\nAnswer: -118bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116607 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 8. Let x = -28 + m. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = n + 185, -4*n = 2*v - 0*n - 74. Suppose -2 = 3*x - x. Let j = 12 - x. Calculate the remainder when v is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142338 is divided by 194754.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1518664642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142851872.65000087 + 142851789.65. Let m = 83 + y. Round m to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 424854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 8 (b) -13 (c) -3\/22 (d) -2\/7 (e) -1\/6 (f) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/20 + j**4\/12 + j**2. Suppose 4*n + 2 = -5*w - 25, 5*n = 10. Let t be 4 + w*4\/14. Calculate f(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 248. Let o = d + -177.86. Round o to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 553.9203t?\nAnswer: 553920300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1970521 * -1.\nAnswer: 1970521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12197908.\nAnswer: 2, 17, 179381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 183366746 to the power of 1\/3, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 less than 12?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9\/2, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:25 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 46*w + 16. Let b be m(3). Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1443654, -2887058, -4330462, -5773866, -7217270, -8660674?\nAnswer: -10104078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -188*((-121)\/(-88) - 105\/120).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25346911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let s = i + -1. Let d = -12 - -7. Sort s, d, -2\/3 in ascending order.\nAnswer: d, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -19. Let c be (0*a\/(-12))\/(-3). Let g(r) = -r + 1. Let z(f) = 2*f - 1. Let o(y) = g(y) + z(y). Calculate o(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (0 + -1)) + (986 - 986) + 53\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4148 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 0, -0.5, 2, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -310. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8519 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(7\/4)\/v)\/v**(3\/8))\/(v**18*v**0))**30 assuming v is positive.\nAnswer: v**(-2115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 0*i**2 + 5*i**2 + (6 - 2 + 5)*(-2*i**2 + 5*i**2 - 4*i**2).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 11:52 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3214000 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -149\/717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1773 + -5320\/3. Sort 0.1, 4, 0.04, k in decreasing order.\nAnswer: 4, 0.1, 0.04, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.76 - 6.9?\nAnswer: -125.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 7*j**2 + j + 6. Let f(y) = -y**3 - 8*y**2 + y + 7. Let q(k) = 3*f(k) - 4*i(k). What is the units digit of q(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50047 is divided by 388?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45 + -3*3\/9. Suppose s - 9 = 5*o. Solve l + 1 - o = -x, -1 = -x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42401\/11 + 3859. Let d = 63\/22 - f. Which is the third smallest value? (a) -2 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*l - p, -731 = -l + p - 750 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4173972 divided by 31621?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 142 = -3*j, 5*j - 4*x - 160 - 79 = 0. Let h = 19 - 7. Calculate the remainder when j is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-19))**(-13)*s**(-1\/2)\/(s*s\/(((s\/s**(15\/7))\/s)\/s*s)) assuming s is positive.\nAnswer: s**(3211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 1137\/32?\nAnswer: 1137\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.2 - 7.20096. What is g rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:39 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1274 and -93\/1456?\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 11*l - 11. Let g(v) = -v**2 + 4*v - 4. Let i(r) = -11*g(r) + 4*z(r). Let k(p) be the first derivative of 5*p**2\/2 - 2. Determine i(k(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 + 1373*u + 17794 = 0.\nAnswer: -62\/5, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86 (base 9) to base 7.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - l - 4 = l, -3*s + 2*l = -20. Suppose -2*j = d - 3*j - 202, s*d + j - 788 = 0. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11191*q**2 - 113190.\nAnswer: 22382*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -418 - -427. Is 23 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 7 - (-3 - -2)) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1877, 7537, 16977, 30197, 47197, 67977, 92537?\nAnswer: 120877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9476741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 1, h: 2, o: 1}. Give prob of picking 1 h and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315286 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4428912*f**2 - 9063210*f.\nAnswer: -8857824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -16. Does 12 divide 123\/d + (-21)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 55 = 387. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {b: 7, e: 2, f: 2, k: 7}.\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + (1 - -2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g - g + 2 + 1 + 2 to the form j*g + k and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 7 + 13. Suppose -h*y + 12 = -2*y. Let x = 15\/2 - y. Which is the closest to 0.2? (a) 0.2 (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261601 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilbbiibllbblbbdrddlb. What is prob of sequence rb?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.038312 - -2.241631.\nAnswer: 4.279943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 61*s + 37. Let f be n(-30). Suppose -5*i = -3*x + f, 3*x = 5*x + 5*i - 38. Solve 0 = 3*t - h + 7, -t + 3*h = 2*t + x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbbt. What is prob of sequence tb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, 1 k, and 1 p when four letters picked without replacement from {u: 1, f: 3, k: 2, b: 1, p: 7}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1046*s + 549 = 1055*s. What is the remainder when 186 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**2 + 0*u**2 + (3*u + 4*u - 5*u)*(-5*u - 3*u + u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1003\/20367 - -10\/219. Let p = -4555\/558 + y. What is the common denominator of p and -71\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*i + 108*i - 297*i + 130*i.\nAnswer: 47*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - 3*p)*((2*p - 9*p + 2*p)*(2*p**3 + p**2 - p**2) + 2*p**3 - 2*p**4 - 2*p**3).\nAnswer: 36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*j = n - 111, 2*n + 231 = j. Let s = 221 + n. List the prime factors of s.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 4. Let i(x) = -341. Determine i(k) - l(k).\nAnswer: 2*k - 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 9*b - 222. Calculate the least common multiple of 6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149*q + 4 + 5 - 6 - 3)*(4*q - 33*q - 3*q).\nAnswer: 4768*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:42 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363418 and 908545.\nAnswer: 1817090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/7)\/(u\/(u*(u*(u*u**(4\/3))\/u)\/u)))\/(u**(-1\/21)*u**9))**(1\/18) assuming u is positive.\nAnswer: u**(-145\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 8) in base 14?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78538 - -397167\/5. Let k = o + -8833\/10. Calculate the common denominator of k and ((-6)\/40)\/((-2)\/(-155)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3287847.\nAnswer: 3, 73, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 45 = 33. Suppose 2*j + 2*j = i*p + 480000, -3*j + 360000 = -p. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 26 = -3*l, -1112*t + 1114*t - 5 = 3*l for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-65) + 2)*2\/(-4)*(5283 + -5285).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:17 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 272131 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(140\/8))\/(126\/(-70) + 1). What is the nearest to 0.1 in s, 0.1, -5\/2, 44?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 62*p**3 + 8*p**2 - 2*p**2)*(3 + 1 - 1).\nAnswer: 186*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -881, -886, -891, -896, -901, -906?\n\"Answer: -5*n - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 736 + -723. Solve 44 = -19*a - s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 449 - 979\/2. What is the common denominator of m and -25\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(192) + 1.\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2929 is divided by 1180.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.874 + -8.8739727582. Round b to six decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 19a?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(18\/6)*(-30)\/120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-7)\/(-182) - (-386960)\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-4)\/(-6)*-1. Suppose 0 = -35*b + 33*b - 6. Sort b, f, 4.\nAnswer: b, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183524509 to the power of 1\/2, to the nearest integer?\nAnswer: 71997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:16 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7892, 15795, 23710, 31643, 39600, 47587, 55610, 63675?\n\"Answer: q**3 + 7896*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -9, -12, -15, -18?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220634 or 3750781\/17?\nAnswer: 220634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 478\/105 or 6?\nAnswer: 478\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*h - 1045, -624 - 19 = 3*h + 2*x. Is h equal to -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2109058515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2, 0.2, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1668274272749\/358440 - 134973498\/29. Let u = 20244 + -31276978\/1545. Let k = v - u. Find the common denominator of k and 87\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33705.\nAnswer: 3, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 2)*(h**3 - 3*h**2 + 3*h**2) + (4*h - 4*h - 4*h)*(-2*h**2 + 4*h - 4*h + (h - h - 2*h)*(2*h + h - 2*h) - 2*h**2 - 2*h**2 + 6*h**2).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1024)*-5)\/(sqrt(648) - (2*sqrt(648)*-4 + sqrt(648)) - sqrt(648)).\nAnswer: 80*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {e: 5, i: 1, a: 6, v: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 736318567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 1. Let j be n(4). Suppose -32 = -j*z - 0*r + 5*r, z = -r. Which is the nearest to -0.1? (a) -4 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103009860.16804969 + 103009870. Let x = -91.83195621 + w. Let b = x + 82. Round b to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -267, -308, -349, -390, -431, -472?\n\"Answer: -41*r - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/30 + 10*c**4\/9 + 44*c**3\/9 + 113*c + 10. Factor r(t).\nAnswer: -2*t*(t - 22)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15360 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 97*m**3 + 24*m**2 + 96*m + 4192. Let l(r) = -98*r**3 - 27*r**2 - 108*r - 4191. Let z(w) = -9*j(w) - 8*l(w). What is the derivative of z(b) wrt b?\nAnswer: -267*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61444833217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**7\/231 + a**6\/165 - a**5\/55 - a**4\/33 + a**3\/33 + a**2\/11 - 4*a. Let y(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9\/2)\/p*p\/p**(-14\/3)*p*p\/(p**(-14)\/p*p)*p\/(p*p*p**(1\/41)*p) assuming p is positive.\nAnswer: p**(3479\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14315 and 1047040?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-31)\/(y*(y\/(y**(-14\/3)*y))\/y*y) assuming y is positive.\nAnswer: y**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrrrbbb. Give prob of picking 2 r and 2 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from emaeeaaaeaaeeeaaaa?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 8*x + 32*x - 2*x**2 - 46*x - 2*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 278609587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76050 and 41088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 349*p - 51. Let w(u) = 289*u - 50. Calculate 5*b(l) - 6*w(l).\nAnswer: 11*l + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, -1, -15, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8 = 4*j. Let h(l) = l**2 - 5*l + 2. Let d be h(3). Let s be 15\/(-9) - d\/6. Sort j, s, 4 in ascending order.\nAnswer: j, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 13 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*l - 28, 5*l = -3*c + 3*l + 1. Let u be 2 - c\/6*-5. Let g(m) = m**2 - 16*m + 55. Let a be g(10). What is the biggest value in -0.4, a, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172184999 to the power of 1\/2, to the nearest integer?\nAnswer: 13122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*k**3 + 3280*k**2 - 143*k**3 + 7*k + 75*k**3 - 7*k.\nAnswer: -k**3 + 3280*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9074 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 3*y - 33, -4*f - 12578*y = -12565*y + 142 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, x: 3}. What is prob of sequence xlxx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-415 - -426 - (1 - -7))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88969?\nAnswer: 88969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 43, -4, -14 in descending order.\nAnswer: 43, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 707175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -7\/12*w**4 + 11*w + 0*w**3 - 103\/2*w**2 - 1 + 7\/20*w**5. Find the first derivative of d(c) wrt c.\nAnswer: 21*c**2 - 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1 - 1. Let n be (2 + 1\/(-2))*a. Solve n = u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + 3 + -6 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -82 and -75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6118 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34428043 a multiple of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let s be (-2)\/m - (-2)\/1. Let d be ((-6)\/s)\/(6\/16). Let k(n) = n**3 + 5*n**2 + 4*n - 5. Calculate k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25 - -11) + 8)\/(-19)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + (-816)\/(-34))*165\/44.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (25 - 79) - 44.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -481110 by 2370.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -92. Let o(r) = -r**3 - 4*r**2 + 19*r + 13. Let q be o(-7). Suppose 26*v - g = q*v. Let b(u) = -10*u**2 + 2*u + 1. Calculate b(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by -2450.\nAnswer: 51\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdhuhaa. Give prob of sequence ac.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6726256 divided by -27122\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = -20. Suppose -6*h - 12 = -m*h. Let s = h + 36. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -0.2, 204825 in increasing order.\nAnswer: -0.3, -0.2, 5, 204825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4850.28 - -34.84.\nAnswer: 4885.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -627 - -622. What is the closest to 0.1 in -0.28, b, 1?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2)*1)\/(sqrt(90)\/(sqrt(30)\/sqrt(3))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -42, -61, -80, -99?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**2\/2 + 6*g. Let k(p) = 2*p - 8. Give 6*a(x) - k(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 - 5*q. Let a be p(-4). Suppose -a*w + 35 = w. Solve -4*f = 5*c + 15, w*f = 2*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3.8897\nAnswer: -0.8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-40)\/(-4)) - (-6)\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 2506.91\nAnswer: 15041.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1.1.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6541, 6600, 6669, 6754, 6861?\n\"Answer: p**3 - p**2 + 55*p + 6486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67020, 134027, 201034, 268041, 335048, 402055?\n\"Answer: 67007*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54\/(-15))\/((-1)\/20). What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*p - 5*p + 4, -4*s - 12 = 0. Let f = p - -10. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -5. Suppose 15 = -4*x + 5*x - 5*g, -3*x + 2*g = -19. Suppose 2*t = x*l + t - 20, -4 = -l + t. Solve l*j = 8*j + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + t - 30 = 6*t, 2*j - 16 = 3*t. Suppose z + 4 = 4*y, 2*y + j*z = -3*y + 30. Suppose y = b - 67. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.2 - 27. Which is the closest to -1? (a) u (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -10 + -2 + (6 - 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*1)\/sqrt(7) + (3*sqrt(75))\/sqrt(3))\/(((2*sqrt(105))\/sqrt(3))\/(sqrt(252) - sqrt(252)*1 - sqrt(7))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - (-1 + 4 + -5). Suppose -4*h - 3*s = -16, 2*h + 5*s + 1 = -5. Suppose b*a = h*a + 160. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 1, f: 2}. What is prob of sequence fdf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -113, -289, -537, -857, -1249?\n\"Answer: -36*z**2 + 4*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 640277.8 millilitres in litres?\nAnswer: 640.2778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*u + 14*u - 3*u - 14*u - 15 wrt u?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*w + 2*w. Let v = -16 + w. Suppose v*g - 5 = -l + 3, -4*g - 62 = -3*l. What is the greatest common factor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let d(a) = 8*a - 14239. Give p(d(z)).\nAnswer: 8*z - 14239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, c: 4, y: 3}. Give prob of picking 2 z.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = -4*p. Let x = p - -3. Let f be (22\/33 + 5\/6)*-2. Which is bigger: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 17. Let a = -3 + 5. Let j be 1\/(a\/(-3)) - -1. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6103718.860492 and 0.5.\nAnswer: 6103719.360492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z. Let d be s(0). Suppose 0 = -3*i + 15 - d. Let u(h) = -3*h**3 - 7*h**2 + 9*h + 28. What is the remainder when u(-3) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Let f = 21 - 16. Suppose f*v - 7*v = -8. Put v, p, -2 in descending order.\nAnswer: v, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/9, -1\/3, 2\/99, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -54\/7, -0.2, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 + 5*o**2 + 25*o + 15 = 0. Calculate o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddddlddddyldlddyy. What is prob of sequence ydl?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -19. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93935 is divided by 214?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -36*w + 10. Let s(g) = -7*g + 2. Let c(q) = -4*q**2 - 15*q + 1. Let u be c(-4). Let k = -6 - u. Determine k*f(m) + 16*s(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*o = o, 4*o = 5*s - 18. Suppose v + 4*l = 320, -s*v - 2*l + 320 = -v. Calculate the highest common divisor of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y**(-1\/2)*y)\/(y**(-6\/11)\/y)**(-2\/39) assuming y is positive.\nAnswer: y**(-4787\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64978*l - 35108 = 64454*l for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5103 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -3 + 3 + 5. Suppose -2*l + 0*l = -5*f - 90, 0 = 3*l - y*f - 124. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 1\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5028986402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 62*k - 265. Does 13 divide b(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 a factor of 1646719701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536092 and 13826?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6*d - 339 = 0. Suppose 8*a = 2157 + d. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/720 and -133\/1080?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19854093 is divided by 140?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*j = 103*j - 92 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 + 4.15. Which is the closest to 0.1? (a) x (b) 5\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 41 - 6 = 3*j, 2*j + 5*z = -10. Solve -j - 1 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*n = q + 442, -6 = -3*n. Suppose 0 = 5*l + 25, 2*v - q = l - 19. Calculate the remainder when v is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -576.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*k + 193*k - 99*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 13*j + 65 = 0. Suppose 3*y = -3*q + j + 2, 3*y + 2*q = 10. Are y and 3\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 3*sqrt(208))*-4)**2 + ((sqrt(143) - sqrt(143)*-2)*6)\/(sqrt(11) + (sqrt(121) - sqrt(121)*-2)\/sqrt(11) - sqrt(11)).\nAnswer: 1158*sqrt(13) + 30096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658442395.\nAnswer: 5, 13, 337, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11 + -12 + (43 - -1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (2 - 1)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (58565\/(-16))\/(-5) + 16\/(-256). What is the highest common factor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -2, 30, 99, 1, 0 in decreasing order.\nAnswer: 99, 30, 6, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27204497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -68 - 11*u**2 + 68 + 10*u**2. Let y(s) = 135*s. Give r(y(a)).\nAnswer: -18225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*a - a - 38 = 0, -3*k + 4*a + 25 = 0. Find the first derivative of -2*v**3 + 3*v**3 - 6 + k wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2883 and -1190 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -141, -76, 33, 198?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368 = -0*w - 8*w. Let z(j) = -j + 171 - w. Let o(l) = -3*l**2 + 54*l**2 - 28*l**2. Calculate o(z(t)).\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -82 + 26. Suppose -q = -2*f + q + n, 5*f = -2*q + 21. Suppose 0*v - 215 = -5*r - f*v, -5*v - 97 = -3*r. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 20. Suppose 3*i + g = 8, -t*i + 5*i = 2*g + 8. Solve 3*x = 4*m + 4, -16 = -i*x - 5*m + 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*u + 0*u - 5*u)*(2 - 5 + 2) + (u + u - 5*u)*(-7 + 3 + 2))*(4*u - 4*u + 2*u**2) to the form n*u**3 + a*u**2 + s*u + i and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1756 + 1755. Which is smaller: p or -6\/811?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2. Let w(m) = -63*m**2. Determine i(w(y)).\nAnswer: 15876*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603 by -201.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 1. Let d be ((-6)\/(-9))\/((-1)\/(-12)). Is t(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1, -0.1, -6\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -138.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7560, -8597, -9634, -10671, -11708, -12745?\n\"Answer: -1037*a - 6523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:14 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5445987, 5445960, 5445913, 5445846, 5445759?\n\"Answer: -10*d**2 + 3*d + 5445994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 + 52*c**4 + 36*c**3 - 352*c**2 - 38*c + 300 = 0. Calculate c.\nAnswer: -25, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -24. Let v(p) = -8*p + 2. Let a be v(b). Suppose h = -6*x + 3*x - a, -5*h - 3*x - 2 = 0. Let g(n) = 5*n. Determine g(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-90) - 3\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52298658 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: What is next in -8320, -16630, -24940, -33250, -41560?\nAnswer: -49870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -6, 3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7342.14l?\nAnswer: 7342140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561248 not equal to 5561249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)*o**(1\/5)*(o\/(o*o**2*o*o)*o*o)\/(o*o*o**(-3\/10)) assuming o is positive.\nAnswer: o**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3423105575 to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -69 = 3388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983 is divided by 586.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59 minus 7.5?\nAnswer: -9.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 66, 36, -4, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/8)\/(9\/(-132)) is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 648, 467, 180, -201, -664, -1197?\nAnswer: -1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12195345 to the nearest integer?\nAnswer: 3492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/24)\/y*y)\/y*y*y*y\/y**(-3\/25))\/(y**(-14\/9)\/y*y**0*y) assuming y is positive.\nAnswer: y**(6691\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 - 5*r + 4. Let s be u(3). Let o = s + -29. Solve o*c + j = -4 - 22, 0 = c - j + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*m, 111 = -4*n + m + 109. Which is the fifth biggest value? (a) 4.1 (b) n (c) 6 (d) 4\/9 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-9))\/(4\/(-78)). Suppose 0 = -6*d + 4 + r. Factor 4*l**4 - d*l**2 - 9*l**4 + 0*l**2 - 10*l**3.\nAnswer: -5*l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*l - 3*c, -4*l + 4 = 13*c - 10*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10007, -20438, -30871, -41306, -51743, -62182, -72623?\nAnswer: -83066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-3 - 1) + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 561.5 or 2?\nAnswer: 561.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*b + 2*b. Suppose 75 - 3 = 36*s. Suppose -b - 86 = -s*o. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*6\/126*4\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89303 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, t: 1, l: 6, j: 2, h: 1, d: 1}. What is prob of sequence dj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i**4 + 6*i**4 - 24*i**4)*(1 + 0 + 0).\nAnswer: -34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248 + 29. Let f = z + 222.6. Which is the smallest value? (a) -3 (b) 1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 11 = 3*b - 5*q, -b - q + 3 = 0. Solve -9 = j - 2*j + 4*s, 0 = -2*j - b*s - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*-3*3\/(-18). Let m be (-9)\/(-4)*-2 - -6. Which is the nearest to -5? (a) q (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17.8, 98, 0.07, 0.5, -0.5?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 49, 37, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -148*o - 13179. Calculate a(-89).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-772)\/(-193))\/(2*13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.5705 rounded to one dp?\nAnswer: 64.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 851*c - 54753. Let g be x(79). Let u(r) be the first derivative of -r**3\/3 - 3*r**2\/2 - 4*r + 1. Give u(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 12968 - 83999 = 0. Let p = -12941 - u. Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/4))**(-29))**(-2\/27))**(1\/10) assuming g is positive.\nAnswer: g**(29\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*d**2 - 88*d**2 + 342*d**2 - 88*d**2 - 86*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1*(-4)\/6. Factor -2*n**2 - n**5 - 14*n**3 - 5*n**4 + 6*n**3 - o*n**2.\nAnswer: -n**2*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 1:58 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -51?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112393 + -80105. Let p = q - 22045. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12172 and 35660738?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 8*b**2 - 6*b + 13. Give n(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32906531 divided by 3?\nAnswer: -32906531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 24, -15, 0, -11, 47 in decreasing order.\nAnswer: 47, 24, 1, 0, -4, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 972 (c) -0.174 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4961.719 weeks to hours.\nAnswer: 833568.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvfvvcixxftff. Give prob of sequence it.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**2 + 13 - 4*j**2 - 1 to x + f*j**2 + l*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6 + 2\/((-4)\/(-31073)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1291 by -8838.\nAnswer: -1291\/8838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6842154 months in decades?\nAnswer: 0.005701795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16065)\/(-2210))\/(-189)*12\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(2592) - 4*sqrt(2592))*4)\/(sqrt(4) - (sqrt(4) + (sqrt(4) - (sqrt(484) + -2*sqrt(484)))) - 4*sqrt(8)\/sqrt(2)))**2.\nAnswer: -108*sqrt(2) + 761\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/44 + 12597\/(-715) + 18. Factor -l*m**2 + 1\/5 + 0*m.\nAnswer: -(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 6*f**2 + 11*f - 21. Let t(w) = 2. Let y(i) = -r(i) - 5*t(i). What are the prime factors of y(5)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 smaller than 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * 347.3.\nAnswer: -25352.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95)*-2)\/sqrt(5) - ((sqrt(133) - 5*sqrt(133)) + sqrt(133))\/sqrt(7).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 6*d + 3. Let s be 112\/(-35) - -3 - 48\/(-15). Suppose -5*c - 2*x - 29 = x, c + s = -2*x. What is u(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*h - 64939 = -34883 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 g when three letters picked without replacement from cgekgelkelkgke.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**2 - 57*m**3 + 33*m**3 + 8 - 23*m**2 - 14*m + 4*m + 23*m**3. What is w(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - x + x to the form j*x + w and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -12)*(2 - -1)\/(-3). Suppose 5*i = p*i - 1722. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37454 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17294287943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1055? (a) 9 (b) -8 (c) 1\/2 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 13 - 24)*(0*m + 0*m + m).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 + 5. Let m be j(-5). Let u(a) = a**3 - 7*a**2 + 7*a - 6. Let k be u(m). List the prime factors of (48\/14)\/((-3)\/k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 11, e: 4, l: 1, r: 1, k: 1}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -1072, -2423, -4316, -6751, -9728?\nAnswer: -13247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -329, 534, 4011, 11410, 24039, 43206, 70219, 106386?\n\"Answer: 218*r**3 - r**2 - 660*r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.680071 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 4. Let j(l) = -345*l + 920. Determine -j(g) + 230*w(g).\nAnswer: 115*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4)\/p)**22 assuming p is positive.\nAnswer: p**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s + 1. Let l(o) = 12124*o. Give l(m(b)).\nAnswer: 72744*b + 12124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 126 = 96. Let a(u) be the first derivative of 9\/4*u**4 + f + 0*u + 0*u**3 + 5\/2*u**2. Find the second derivative of a(i) wrt i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 10.796559 months?\nAnswer: 0.0089971325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53766 and 66?\nAnswer: 591426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*2)\/(42296\/15861).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 13*g**2 + 11*g - 6. Let l be z(14). Let c = 88 + l. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-21) + (-1)\/3. Is a\/(-3) - 213\/(-9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5458493*j**3*t**2 - j**3*t + 2*j**3 - 5*j**2 - 361*j*t**2 - 18*t**2 wrt j?\nAnswer: 32750958*t**2 - 6*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2 (c) -3 (d) 37\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 7*c - 567 = 0. Suppose 117 = 2*u - 131. What is the remainder when u is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1.626857?\nAnswer: -0.1626857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07564*-1081.\nAnswer: -81.76684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h + 2. Let o be a(-2). Let f be ((-7)\/(7\/1))\/((-2)\/o). Solve 4*g + 5*w - 45 = 0, -2*g - f*g = -w - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4995 and -17\/36062420.\nAnswer: 973685340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.3624 rounded to 0 dps?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {y: 2, p: 6, r: 3, b: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647290986.\nAnswer: 2, 1323645493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -689130*y**2. Let d(v) = -v. Calculate o(d(h)).\nAnswer: -689130*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 172 = 161. Let q be 0 - 0 - 6\/(-2). Solve -q*p = 8 + j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97967 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 3, l: 3, s: 4, w: 4, h: 2}. What is prob of picking 1 l, 1 s, and 1 q?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-3)\/(3\/2). Suppose 2*p - m = -10, p - 3*m + 2*m + 6 = 0. Let c be p\/(-6) - 92\/(-6). Calculate the greatest common divisor of r and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 9. Solve h - w = 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -309*v + 7452. What is n(22)?\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = 3*k + d, 0 = 3*k - 3*d - 9. Suppose 4*w = -h + 112, w = 3*h - k*w - 336. Suppose -h = -5*i + 213. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 1 - 1183*w + 5 + 1177*w. Determine a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3924 and 80987.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k + 199. Let b be n(20). Let c(p) = 5*p**2 - 83*p - 4. What is the tens digit of c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(-2*sqrt(45)\/sqrt(5)))**2 + ((sqrt(60) - (sqrt(60) - (-4*sqrt(8640) - sqrt(8640))))\/sqrt(12))**2)*-5.\nAnswer: -360025\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.7, -1, -105, -3.1, 1\/4, 7.\nAnswer: -105, -3.1, -1, 1\/4, 7, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8185329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 9*q**2 - 4*q - 42. Let r be f(-7). Let w = 186 - r. List the prime factors of w.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 149?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 4*x**2 + x**2)*(5 - 6 + 3*x + 0).\nAnswer: -15*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 + 21*q**2 - 39*q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 926093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 28 = -4*z + 8*z, z = -5*j + 25. Suppose -667 = -3*l + b, -4*l = -l - z*b - 659. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + -0.12. What is the nearest to -0.1 in -1\/3, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 40. Let c(n) = -2*n - 81. What is 4*c(f) - 7*j(f)?\nAnswer: -f - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 4*u = 1274, 0 = -2*q - 5*u - 1202. Sort q, 4, -1, 3 in descending order.\nAnswer: 4, 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**42*(u**(-1\/2))**17 assuming u is positive.\nAnswer: u**(151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2909334 is divided by 9206.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 6*m**2 - 2*m**2)*(-3*m + 4*m - 2*m) + 7*m**3 + 0*m**3 + m**3 - 4*m**3 + 2*m**3 + m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 47*h**3 - 3*h**2 + 232*h - 682. What is u(3)?\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 5232 = -4448. Calculate the greatest common divisor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/60 - -2)\/(6\/(-10))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k - 1. Let f(t) = -2*t**3 + 4*t**2 + 8*t + 6. Let p(q) = -q**2 + 2*q + 9. Let b be p(-3). Calculate b*c(m) - f(m).\nAnswer: 2*m**3 + 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 15 = 6*b - 2*a, -3*b + 2*a + 9 = 0. Let y(o) = o. Let x(r) be the third derivative of r**4\/6 - r**2 - 60*r. Give b*x(d) - 16*y(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + -3*(-4 + (4*(sqrt(130) + sqrt(130)*2))\/(2*sqrt(250) - sqrt(250))))*-3.\nAnswer: -33 + 108*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**3 + 2*t**3 - 2*t**3)*(-3*t - t + 3*t + 31).\nAnswer: 7*t**4 - 217*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x**2 - 19*x + 11. Let r be z(-4). Let c(a) = a**2 - 40*a + 23. Let f(q) = 2*q**2 - 82*q + 44. Let n(u) = r*c(u) + 4*f(u). Factor n(g).\nAnswer: -(g - 31)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:32 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*c**2 + 9856072*c + 1877344.\nAnswer: 4*(c + 117334)*(21*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.158023 * -1\nAnswer: 0.158023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1595924 - 7?\nAnswer: 1595918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - (-185)\/35. Let f(w) = 27*w**2 + 5 - z. Let a(q) = -10292*q - 10352*q + 20645*q. What is a(f(b))?\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 578\/5. Sort o, -1, -4, -0.4 in ascending order.\nAnswer: -4, -1, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5553, -0.2, -2\/7, 5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6))\/((-3)\/8). What are the prime factors of 162\/f + 1\/2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5013 and 1850364.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-39)\/(w*w**(-2)*w**(-1\/3)))\/((w**(-6)*w**(-2\/7))\/(w**(-4)*w**(-1\/13))) assuming w is positive.\nAnswer: w**(-9680\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258103177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076 + 1076 + 8*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786d (base 14) to base 8.\nAnswer: 50611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(7*c + c - 4*c) - 8652*c + 8651*c - 265 + 90.\nAnswer: -5*c - 175","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/18 - g**5\/5 - g**4\/4 - g**3\/9 + 2. Suppose j(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -5, -8?\n\"Answer: -3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (16 + -24) - -330. What is the greatest common divisor of d and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 167, 205, 295, 455, 703, 1057, 1535?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p - 3. Let r(h) = h**2 + 3*h - 6. Let c be r(-4). Calculate z(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*x = 17540 + 16002, 0 = 5*g + x - 41896. Calculate the highest common divisor of 142 and g.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2 + 1 + 23*g - 23*g + g**2 + 97*g**3. What are the prime factors of p(1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1 - 3 + 13 + o. Let l be f(-6). Suppose -3*a = -5*a + 4*n + 84, -156 = -4*a + l*n. What is the remainder when a is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231\/(-56) - (-3)\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 7*i**2 - 9*i - 6. Let t be h(-8). Solve -t*n + 1 = 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (15 + 86) - -19?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*(x**(-32)\/x)\/x*x))\/(x*x\/(x\/(x*x**(-8\/7)*x))*x*x))\/(x\/(x\/x**(1\/5)*x))**(9\/4) assuming x is positive.\nAnswer: x**(1048\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 15*u + 4. Determine j(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - (1\/(-6) - (-2385)\/(-270)). Solve 0 = n*t + 12, 8*i + 2*t = 9*i - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.046 and -9326.11641852?\nAnswer: 9326.07041852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -76. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -578885 - 5.\nAnswer: -578890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*p**2 + 274*p**2 - 36*p + 36*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -309? (a) -8 (b) 0.031 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3*m + 4. What is x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 506?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)\/(((c\/(c\/c**(-22)))\/c*c)\/c)*(c**(-3\/7)*c)**(-3) assuming c is positive.\nAnswer: c**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 10\/13, -1\/10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 84807 = 53*y - 79609 for y.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -33, -59, -91, -129, -173, -223?\n\"Answer: -3*k**2 - 11*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.010045 - -0.01. Round g to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -12. Let d be -2 + 3 + 10\/5. Determine j, given that -j + 3*j**3 - j**4 - w*j**3 + 3*j**3 + j**2 + d*j = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 64\/5 of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnwwwwwjwntng. What is prob of picking 1 g, 1 j, and 1 n?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 7 (b) 38 (c) 1\/2 (d) 0.4 (e) 1\/85\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {m: 5, a: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 790 divide 12102800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:22 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116235 and 3485.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -20415956\nAnswer: -20415955.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d - 25*d - 28*d + (1 - 3 + 1)*(-1 + 1 + 2*d) + 2*d - 6*d + 3*d - 3*d + d + 4*d to the form f + q*d and give q.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*s + 35*s. Suppose 4*u + t - 2*t - 194 = s, 3*u + t = 142. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45930365, -91860729, -137791093, -183721457, -229651821?\n\"Answer: -45930364*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15737580 and 9324.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-18)*(-6)\/(-4). Let d(m) = -3*m**2 - 2*m**2 + 2*m**s. Let i(t) = -2*t. Give d(i(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(30\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041 * -2.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {z: 3, d: 1, o: 2, w: 2, y: 4, i: 8}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*1 - 186\/6*-3. Let h be (-2 - (l\/(-18) - -3))*-6. What is the closest to -1 in h, 4.9, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2544 and 4452?\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2983680 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(208) + 1) - sqrt(1872)*-4) + 3 + -1 + -4 + -2.\nAnswer: -5 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 901 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {x: 3, o: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-341)\/(-33) - (-4)\/18*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = r, 34*l - 29*l = 3*r + 52. Solve -l + 1 = -5*f + x, f - 11 = -3*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 467*x**3\/6 + 121*x**2 - 14*x + 3. Is h(33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 2*q + 0*q + (6*q - 5*q + 4*q)*(-3 + 3 - 2) + (2 - 2 + 1)*(5*q - 2*q + 0*q) as j*q + k and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 2 + -3)**2 - 6*-1*sqrt(700) - (((1*sqrt(700))**2 + sqrt(700))*2 - (-5 + (1 + sqrt(700))**2)).\nAnswer: -3 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.153937 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6625180, 6625094, 6625008, 6624922?\nAnswer: 6624836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-454)\/(-2270))\/((-3)\/(-105)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695688223.\nAnswer: 695688223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(450) + sqrt(450)*-3) + (sqrt(324)\/(sqrt(9) + sqrt(36)\/sqrt(4)) - sqrt(36))\/sqrt(2))**2.\nAnswer: 1815*sqrt(2) + 131819\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*sqrt(325)*2 - -1*(sqrt(325) - ((sqrt(325) + 1)**2 - sqrt(325))) - ((sqrt(325)*2)**2 + 5 - 2*(2*sqrt(325) + sqrt(325))**2)).\nAnswer: 40*sqrt(13) + 4218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100000111111111 (base 2) in base 9?\nAnswer: -524642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 450\/55 + 6\/(-33). Suppose 3*m - 1 + l = 5*b, 0 = 3*m + 12. Let n be 75005\/(-10)*2 - b. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 10*m. Let o be i(0). Let c(b) be the second derivative of -1\/2*b**3 + 9*b + o - 1\/80*b**5 - 1\/8*b**4 - b**2. Let c(q) = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388.625 minutes in seconds?\nAnswer: 83317.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221436 + -82243. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 10, 13, 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as -314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*h - h**2 + 224*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 150\/39 - (3 + 0) and -13\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.48324 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 46 = -4*l. Suppose 1407 = l*z - z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 - 185. Suppose -w = 4*u - s, 18 = -2*w + 5*u + 4. Suppose -3\/8*t**w + 3\/8*t**2 + 0 + 0*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1047, -1042, -1037, -1032?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 4*j - 3. Let o be b(5). Let v be 20\/11 + (o\/(-11) - -4). Suppose x**3 + 3\/7*x**4 + 0 + 0*x**v - 4\/7*x = 0. Calculate x.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106045344 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let u = -6 + z. Let k = -393.4 + 393. Which is the nearest to 1\/4? (a) -0.5 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 4\/5 (b) -2\/89 (c) 1\/9 (d) 2\/3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 236357559 divided by 3\nAnswer: 78785853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.7. Let y = k - -0.3. Let x = -0.5 - y. What is the nearest to -1 in 0.3, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - 21. Let y = -29 - k. Solve 0*w = -4*w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39184656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y. Suppose 38 = -4*k - 2*m, -2*k - 5*m - 28 = -7*m. Let d(q) = 2*q. Determine k*d(o) + 4*u(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-1316)*861\/246?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 3, -81.41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**4\/6 + w**3\/6 + 25*w**2. Calculate a(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 16. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 98*z**4 - 644*z**3 + 1128*z**2 - 496*z + 64 = 0.\nAnswer: 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/3)\/(1\/(-3)). Let y(s) = -20*s - 1. Let d be y(1). Let r be (-48)\/d - (-4)\/t. Solve 0 = r*c, 5*a = 4*c - 12 - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 5*b + 6. Give u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 - 5*k - 3. Let d(f) = -4*f**2 - 4*f - 2. Determine -4*d(b) + 3*o(b).\nAnswer: 4*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7))**34\/(b**7\/b*b**(-1\/5)*b)*(b**(2\/25)\/(b\/(b*b\/((((b**(1\/3)\/b)\/b)\/b)\/b)*b)*b))**45 assuming b is positive.\nAnswer: b**(6898\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -38 + 0*c**2 - 19\/3*c**3 + 0*c. Let g(j) = j. What is g(q(x))?\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o + 4. What is the smallest common multiple of 8 and j(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a - 3. Let q be b(-6). Suppose 21*u = -44*u + q. Let -3*g**5 - 2*g - 3*g**4 + 0 + 1\/3*g**2 + 55\/3*g**u = 0. Calculate g.\nAnswer: -3, -1\/3, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 5580867.\nAnswer: 22323468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/(-84)*418\/(-33)*792\/(-352)?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1479.6 and 2?\nAnswer: 2959.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1))**(-4)*h**3*h*h*h*h**(-3\/8)*h)**(-2\/3))**(-23) assuming h is positive.\nAnswer: h**(1955\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3*u + 2)*(8 - 30 - 4) - u - 5*u + 0*u)*(3*u - 2*u + 0*u) to x*u**2 + m + l*u and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3717510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7125)\/(-300) - 24) + 1\/(8\/738)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooocoouuocooccc. Give prob of sequence uuo.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086742 is divided by 2838.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.770785 rounded to two decimal places?\nAnswer: 27.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5193 or -5147?\nAnswer: -5147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - 2155\/10. Let d = b - -464. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97258795 times 1?\nAnswer: -97258795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 0.2?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 189823202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 640, 1850, 4130, 7840, 13340, 20990, 31150?\nAnswer: 44180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 130284.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmhm when four letters picked without replacement from {h: 11, m: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - g + 0 = -4 - 20, 6*g + 27 = q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2805 is divided by 106?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15949130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72037243 or 72037242?\nAnswer: 72037242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -93*v**2 - 4*v + 1. Let q be s(3). Let o = -564 - q. Let c = -12 - -23. What is the remainder when o is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -19*38\/6*-3. Suppose -33 = -3*a - q. Do -215\/2 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/1885*-13*4\/30)\/((-2)\/55).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29\/148 + -2\/37. Let n = 123.8 + -132. Let r = 9.9 + n. Is v smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (1 + sqrt(162) + sqrt(162)))*1 + sqrt(10)\/(4*sqrt(45)))**2.\nAnswer: 107*sqrt(2)\/6 + 11521\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*d + 43*d - 18*d - 73)*(d - 1 + d - 2).\nAnswer: -4*d**2 - 140*d + 219","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = u - 15, 2*s - 9*u + 14 = -7*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z + 708. Let k(b) = -8*b + 355. What is 3*c(o) - 5*k(o)?\nAnswer: o + 349","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyyycxzix. What is prob of sequence xcz?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20454 and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4931.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 144.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/323936883 and 69\/71985974.\nAnswer: 647873766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y - 5759154 = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x + 14. Let u = -111 - -120. Let v be i(u). Sort v, 2, -1.\nAnswer: -1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*c + 4*c + 3*c)*(0 + 2*c + 0) + 0*c + 0*c + c**2 - 7*c**2 - 7*c + 7*c)*(c - 2*c + 3*c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from {x: 6, r: 1, m: 3, t: 2, l: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5011421 - -11?\nAnswer: -5011410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880 + 884 - 57*u + 881 - 2645.\nAnswer: -57*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 24 = 4*q, -2*l + 5*l = -3*q + 6. Suppose -4*r = 3*i - 0*r - 4, -3*i + 18 = -3*r. Solve 2*u**i + l - 2*u**3 - 4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 7. Let k be q(3). Let n(o) = 10*o + 2*o - k*o. Let f(a) = -2*a. What is f(n(r))?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:25 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqdcdqqdcddd. Give prob of picking 1 q and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - -8 - (-8 - 11)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 13*n**2 + 15*n - 10. Let q be z(14). Suppose -f - 42 = 2*k - 3*f, k + q*f + 46 = 0. Put k, 2\/13, 1\/6 in ascending order.\nAnswer: k, 2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -3. Is 4\/(-6) + (-1126)\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p**2 - 2*p. Let f(q) = 351*q**2 - 65*q. Let u(r) = -5*r**3 - 123*r**2 + 47*r - 79. Let x be u(-25). What is x*f(h) + 130*w(h)?\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.4185?\nAnswer: -0.20925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66531, 66530, 66529, 66528?\nAnswer: 66527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t - 16. What is the tens digit of s(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -3\/83, -4?\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i. Solve -5*f + k - 8 + 33 = i, -5*f + 25 = -5*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -21*o**2. Let a(g) = -2094254*g + 2. Determine a(k(n)).\nAnswer: 43979334*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4590\/(-10098) + (2 - 7) + (-956)\/(-176).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2025 is divided by 331.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110010130212 - -10?\nAnswer: 3110010130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*m**2 + 134*m - 7*m**2 - 134*m.\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7176 divided by -3.\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*d + 5*u - 53, -5*d = -3*u - 158. Suppose -1 = -4*l + d. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 234 = 47. Suppose h + 528 = 2*d, s = -3*d + 2*h + 979. Suppose b = -4*i + 97, 1 = 5*b - 4. What is the highest common factor of d and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058297 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, -4, -9783, 5 in decreasing order.\nAnswer: 5, -4, -215, -9783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:11 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68569 + 123241. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = m - 240, 3*m = m + 5*s + 405. Calculate the greatest common divisor of 86 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*y + 144*y - 26 - 7 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 23.98. What is the second biggest value in 5, b, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 5*u - 29, -10*u + 10 = -8*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 3715. Let m(z) = -12*z. Calculate p(m(d)).\nAnswer: 24*d - 3715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.418 - -0.118. What is the closest to 0.1 in -10, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 62*t**2 - 3*t + 143. Is m(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3 + sqrt(99))**2 - sqrt(99))*-6*-6.\nAnswer: 756*sqrt(11) + 4140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3 - 9*w**2 - 15*w - 7 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/43, -1\/6, 7\/24, -8.8?\nAnswer: 8\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p. Let o(g) = g + 3. Let s be o(p). Suppose 2*k - s*d = -2*d + 5, 0 = -k + d + 4. Solve -5*w + 21 - k = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(1 + 1 + -1). Suppose -5*q = -4*y + 3*y + 30, l*y + 4*q = 18. Let a be ((-3)\/(-5))\/((-6)\/(-30)). Solve 5 = s + a*j, -s = 2*s - j - y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.463 - 0.537. Suppose 6*r - r = 40. Put r, q, 3 in increasing order.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 - 31*y.\nAnswer: y*(y - 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let p(h) = -3*h**2 + 29*h + 27. Let g be p(12). Let j be 76\/g*(-6)\/4. Solve 9 = j*t - 4*c - 7, -f*c = 3*t + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x + 16*x**2 - 485*x**3 + 496*x**3 - 19*x**2 to w*x + h + o*x**2 + y*x**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -67. Suppose 0 = -j*x + 5*s + 14, -2*s + 2 = x + 2*x. Suppose -280 = -7*k + x*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35392270?\nAnswer: 2, 5, 131, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1809*b**3*l + b**2 + 179*b*l wrt b.\nAnswer: -10854*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = -5*c + c, -2*f + 3*c = -25. Solve 5 = 5*p, -3*q = -4*p + f*p - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -5. Let a = -28 + 31. What is the nearest to 0.4 in v, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 2*w**2 - 1. Let n be j(1). Let x be 0*(36\/8 - n). Suppose -q = -3 - x. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 7*n + 529. Let o be j(0). Suppose -5*h + w = -572, 5*h - 4*w - 49 = o. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184255 is divided by 718?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 28*b = 40. Suppose 0 = b*n - n + 2529. Let j = n + 490. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12393\/4 - -62013\/20. Suppose z + 9\/5*x**2 - 24\/5*x = 0. Calculate x.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555279541.\nAnswer: 29, 53, 1011893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69366.28ug in grams?\nAnswer: 0.06936628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 660*w. Let t(g) = -38*g + 128. Let b(y) = -7*y + 24. Let u(o) = 16*b(o) - 3*t(o). Determine z(u(v)).\nAnswer: 8*v**2 + 1320*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o - 1 + 0*o**2 - 1\/3*o**3. Let s(d) = -d. What is z(s(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 124. Calculate the lowest common multiple of 5\/20 + j\/4 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 112275 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24520\/33143 - -1\/1441. Is -2 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -962, -1185, -1420, -1673, -1950, -2257, -2600?\nAnswer: -2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -11 - 17. Suppose -15 = -5*l - 0*s + 2*s, 2*l - s = 7. Let k be (7 - 4\/l) + 137. Calculate the greatest common divisor of v and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-5))\/o**(2\/3)*o**(-2\/7)*o**(2\/9))\/(o\/(o*o\/o**6)*o*o**1\/o)**(2\/149) assuming o is positive.\nAnswer: o**(48712\/9387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 307*z + 902. Give x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4, 2*y - 2*c = -4*c + 14. Suppose y*a + a = 0. Suppose a = t - 17 + 6. Calculate the greatest common factor of t and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let m(n) be the first derivative of -3*n**2\/2 + 12. Let q(j) = -7*j + 10*j - 4*j - 2*j. Let z(p) = 3*m(p) - 4*q(p). Calculate b(z(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/6 + 3*j + 2. Let l(y) be the first derivative of p(y). Factor l(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**2 - 18. Let z(i) = -11*i + 14 + 11*i - 3*i. Let b(j) = -j + 5. Let q(o) = 11*b(o) - 4*z(o). Calculate q(t(g)).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001382 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 2*s**3 + 34*s**2 - 399*s. Calculate c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -15.\nAnswer: 184\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 82*m - 2124.\nAnswer: 2*(m - 59)*(m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*b = 2 - 20, 0 = -5*f + 5*b - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 58*u - 2941. Let j be v(51). Solve 3*b = -3*z - 21, -2*z + b = 3*z + j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 58. Which is the second biggest value? (a) -4 (b) 0.4 (c) s (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43691.3 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38740578, 77481164, 116221750?\n\"Answer: 38740586*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 9) to base 14\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/3130 and 27\/128330.\nAnswer: 128330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3167 - 3162.862. Let t = 3 - 7.1. Let w = t + f. Round w to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 53687 and 124.02929?\nAnswer: 53562.97071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -36. Let r = -23 + b. Sort 2, r, 0 in descending order.\nAnswer: 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 914*o + 72604. Give r(-80).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 2\/7 (c) -2.8 (d) -1.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 1:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 23*t - 11. Let r be (9\/2)\/(18\/12). Suppose 0*h - r = -h. Is o(h) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2234738 to the nearest integer?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k + 0*k - k - k - 2 to the form n*k + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as -420960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (167\/(-4))\/((-3)\/84). Suppose 4*j + 4*l - w = 0, -3*j + 3*l = -0*l - 909. Is j 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 {w: 5, t: 5}. Give prob of sequence wt.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 76.2.\nAnswer: -62.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u. Let c be x(1). Is 370\/1 + (-1 - c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457 is divided by 613.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/(d\/(d\/(d**20*d))))\/d)\/d)\/d**(2\/3))\/(d*d**8*d*d)**(1\/10) assuming d is positive.\nAnswer: d**(-683\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.449833 rounded to one dp?\nAnswer: 36.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -301*v**3 - 12*v**2 + 11*v - 497. Let g(u) = 1205*u**3 + 45*u**2 - 42*u + 1988. Let q(b) = 4*g(b) + 15*r(b). What is the derivative of q(t) wrt t?\nAnswer: 915*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -316\/25, -28\/9, 2 in decreasing order.\nAnswer: 2, -28\/9, -4, -316\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (13 + -21 - -2 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*t = 252 - 213, 2*t = v + 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 + 5 = -2*d, 2*u - 2 = 2*d. Let g be 26 - -1 - (-1 - -3 - 2). Suppose -d*l + g = l. Calculate the remainder when 33 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(77)*-5 + (sqrt(77) - -5*sqrt(77)*-4))\/(sqrt(176)\/sqrt(4) + sqrt(704)*-4).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488017654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 7) in base 16?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:19 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 95.66136g?\nAnswer: 95661360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**3 + j**3 + 2*j**3)*(19 - 17 - 15) as r*j**2 + p*j + l*j**3 + k and give l.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let f(l) be the third derivative of -l**4\/12 + 2*l**2 - 2*l. Give f(w(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15977954 to the nearest integer?\nAnswer: 3997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 5 - (-5)\/(-1). Let y be (-1)\/(1*(-14)\/u). Put y, 2\/5, -5 in descending order.\nAnswer: 2\/5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 1)\/(24\/208). Is -1\/6 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -0.2 (c) -3\/8 (d) 0 (e) -8\/79 (f) -0.092 (g) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 12*m + 17*m - 457 - m**3 - 9*m in the form x*m**2 + c + g*m + b*m**3 and give c.\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2047643 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 2*g**3 + 2*g**3)*(0 + 0 - g) - 7*g**4 + 6*g**4 + 12*g**4.\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c - 7. Let k be i(5). Let o(n) = n**3 - 6*n**2 + 2*n + 1. Let r be o(6). Let q = k - r. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.44?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 68207944 and 12671?\nAnswer: 68195273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) + 1066\/287. Suppose -3*s + k*s + u = 1, 5*s = -2*u - 4. What is the second smallest value in 2, 1\/9, s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/190995 and -123\/5350.\nAnswer: 1909950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -8 + 8 - 17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 3. Let r(x) = 6*x**2 - 7*x + 5. Let v be r(p). What is the common denominator of (-6)\/15 + (-747)\/v and -119\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*h + 9, h = -4*b + 8 - 29. What is the closest to h in 1, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 = k, -2*k + 4*p + 0*p = -46. Suppose -4*b + 5*n = -11, 3*b + 2*n = -n + k. Suppose -b*v + 2510 - 306 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -3 + (36 - -2). Let n = 40 - b. Suppose -3*w - n*m + 660 = 2*w, 2*w - 5*m = 231. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 151. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 10*w**2 - 13*w + 7. Suppose -5*s + 4 - 59 = 0. Let g be x(s). List the prime factors of 1*g + 6\/6.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15719*l**4 - 565886*l**3\/3 - 15711*l**2 + 565886*l\/3 - 8 = 0.\nAnswer: -1, 2\/47157, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = -790 + 817 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4521 - -4524. Let w(g) be the third derivative of -5\/8*g**4 + 0*g**3 + l*g**2 + 7\/60*g**5 + 0*g + 0. What is the second derivative of w(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ninh when four letters picked without replacement from hhnihnnh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*y - 5. Sort 0, 4\/9, y in increasing order.\nAnswer: y, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -54, -3, -2, 6, 19 in increasing order.\nAnswer: -54, -3, -2, 6, 19, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 58026403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/36*(-244)\/(-150) and ((-530)\/(-15))\/((-80)\/(-12)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6531554 (base 8) to base 7.\nAnswer: 20605441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-2))\/(2\/(-92)) is divided by (-2)\/29 - (-11866)\/493?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/9 + 5402*y - 14071492.\nAnswer: -2*(y - 21342)*(y - 2967)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 127894788.\nAnswer: -127894788.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 6*x**2 - 20*x + 65. Suppose 0*s + 3 = 3*p - s, 5*s - 15 = 0. Calculate the remainder when h(8) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 16 + -9 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119588.\nAnswer: 2, 7, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7565, 15131, 22697, 30263, 37829?\n\"Answer: 7566*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 4, -128 in descending order.\nAnswer: 5, 4, -15, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.5, -19, -2\/7, 4544\/7 in ascending order.\nAnswer: -19, -3\/2, -2\/7, 0.5, 4544\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33749307?\nAnswer: 3, 67, 97, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-50)*40\/(-3). Let s = d + 16. Suppose s = 4*h - 64 + 20. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z**(2\/9))**(-35) assuming z is positive.\nAnswer: z**(385\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 229737815 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaaniiiiinaainaaai. What is prob of picking 3 n?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*i**4 + 30*b**3*i**3 + 586*b**3*i**2 + 2*b*i**4 + 2*b*i**2 wrt i?\nAnswer: -48*b**3*i + 180*b**3 + 48*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3665 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13961.99 decades in millennia?\nAnswer: 139.6199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.136 - -0.7. Let q = 0.036 + y. Let n = -107\/148 + -1\/37. Which is the second smallest value? (a) 0 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 1. Suppose -218 = -2*l - m, 0 = 6*l - i*l - 5*m - 450. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + x**2 + 105*x - 1 - 100*x. Determine f(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 2. Let h(y) = 855*y + 6. Give 2*a(j) - h(j).\nAnswer: -867*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11.9+-3917479530423\nAnswer: -3917479530411.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31038, -31184, -31426, -31764, -32198, -32728?\n\"Answer: -48*q**2 - 2*q - 30988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349 + -348.9488. Round x to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/30 + 364*z**4\/3 - 529984*z**3\/3 + 2*z**2 - 2140*z. Factor u(s).\nAnswer: -2*(s - 728)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 12:15 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9929176.\nAnswer: 2, 31, 40037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3755, -3715, -3675, -3635, -3595?\nAnswer: -3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -0.003, -5, 0.1, -59 in increasing order.\nAnswer: -59, -5, -1, -0.003, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*s - 588*s - 2688 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.103910667?\nAnswer: 0.0311732001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 81*t - 120 = 0, 0 = -p - 9*p + 15*p - t - 103 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.023, -140\/13, -1\/3, -5?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 194*i + 6175. Give x(-28).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**20*(v**0)**7*(v*(v*v**(1\/6)*v)\/v)\/(v**2*v*v)*((v**3\/v)\/v*v)\/v*v*v**(-7)\/v assuming v is positive.\nAnswer: v**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10980 and 99971680.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 292124 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12506830 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 6. Suppose 0*k + k - 19 = 0. Let l = k - 14. Let f be c(l). Solve -2*o = 0, o = -0*b - 2*b - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*g**3*l**3 + 4623*g**3*l - g**2*l - 38*g*l**3 wrt l.\nAnswer: -1278*g**3*l - 228*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.09 - -0.09. What is the second smallest value in 0.3, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 + 12*a**4 + 51*a**3 - 192*a**2 + 12*a + 240 = 0. Calculate a.\nAnswer: -4, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3150 by 253.\nAnswer: -3150\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2561941, 2561945, 2561951, 2561959, 2561969?\nAnswer: 2561981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1823 + -1818. Solve 0 = s*l - 14 + 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.2. Let i be ((-268)\/(-26))\/(-2) - (-6)\/39. Let l = 1 + -1. Which is the closest to l? (a) i (b) -1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60033.906 - -60097. Let i = -0.094 + z. Let l = i + -57.1. What is l rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-156)\/(-546) + (1 - 10\/(-14)). Differentiate -4*m - 10 - a*m - 11 + 289*m with respect to m.\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppbp when four letters picked without replacement from {b: 14, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-22))\/((-30)\/165)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67362 and 824?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/20 - 5*f**4\/12 + 5*f**3\/6 - 4*f**2 - 28*f + 1. Give c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 17396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13*12\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 23 + -16 - (-2 - (6 + 2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -246 - -2708\/11. Which is the nearest to 2\/5? (a) 25 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/6850 and -3\/560?\nAnswer: 383600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 216*v**4 - 12*v**3 + 1306. What is the third derivative of l(z) wrt z?\nAnswer: 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15242736647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*j**3 - 81993*j**2 + 81993*j**2.\nAnswer: 66*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190178, -190190, -190230, -190304, -190418?\nAnswer: -190578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 + 40 + 3*x)*(58 - 453*x - 59 + 285*x) + (0*x - 3*x + x)*(4*x - x - 5*x) to the form h*x + g*x**2 + r and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*v = 3*v - 6, -4*v + 10 = -5*w. Let a be (10\/(-6))\/(2\/6). Let t be 1 + 4 + -1*2. Sort w, a, t in increasing order.\nAnswer: a, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12098 and 12100 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 0.8 (c) 4 (d) 1937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492143.1 millennia to decades.\nAnswer: 49214310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200028, 400063, 600120, 800211, 1000348, 1200543, 1400808, 1601155?\nAnswer: 1801596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10050 - -14695. Let g = 3235 - l. What is g rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -24*r - 1361. What is n(-41)?\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18211 is divided by 387.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 34. Let x be (-6 - n) + 4 - 6\/(-1). Solve 0*o - 2*o - 4*i = -24, -3*o = x*i - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120.141 + -0.141. Let k = t + -122. Let j = -0.118 - -2.118. Which is the fourth biggest value? (a) 0.4 (b) k (c) 5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueeu when four letters picked without replacement from {e: 5, u: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-716 - -673) + (26\/1)\/2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1190, 1191, 1192, 1193, 1194, 1195?\n\"Answer: t + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 297 = 87. Is 0 - -6 - (w + -3589) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w**(-1\/2)\/w*w)\/w)*(w*w*w*w**(-1\/2))\/w)\/(w*w*w\/(w*w\/(w**1*w))*w)**(-6\/17) assuming w is positive.\nAnswer: w**(109\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + 10*l + 32. Let q be x(6). Let p = -29 + 57. Calculate the highest common divisor of p and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 5*y - 1. Let g be s(6). Suppose 2*x + 12 = g*x. Let l = 11 + x. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffttfftffftfffff. What is prob of picking 2 f?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 137 - 42*q - 137 - 2*q in the form c*q + x and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1115 + 741710?\nAnswer: 743025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 31*m**2 - 23*m + 324. Let r(l) = 16*l**2 - 13*l + 164. What is -4*f(y) + 7*r(y)?\nAnswer: -12*y**2 + y - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-58))\/(((-289)\/68)\/(-17))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(7) + -3 + sqrt(7))**2 + 2*sqrt(21)\/sqrt(3) + 6*1*sqrt(252))*2.\nAnswer: 84 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.636306 rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2554092036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1559147, -6236693, -14032617, -24946925, -38979623, -56130717, -76400213?\nAnswer: -99788117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/128 and 181\/19322400?\nAnswer: 77289600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 11*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -0.28.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-70) - (-814)\/77. Solve -21 = h*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 7:39 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 + -129. Let n = x - -53. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 8*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 9*o - 1 - 11*o - 3*o + 5*o - 130*o**3 in the form h + g*o**3 + k*o + f*o**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-21 + 19) - (1 - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 15*o + o + 15*o - 10*o + 216 in the form b + h*o and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13796459*o + 13796445*o - 41389356*o + 13796465*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 761247, 1522507, 2283775, 3045051, 3806335, 4567627?\n\"Answer: 4*h**2 + 761248*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 61*z**2 + 2*z. Let h be p(-2). Suppose 7*c = -c + h. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138516000 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 53 = -59. Find the third derivative of -216*m - 21*m**g - 41*m**6 + 216*m wrt m.\nAnswer: -4920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-4)\/(-3))\/4). Let k be (-31*8387)\/1 - g. Round k to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71615222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13567 + -659750?\nAnswer: -673317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 3. Suppose -123*w = -132*w - 9. Let g(c) = 6 - c + 0 + 0 - 5. Give w*p(a) + 2*g(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/240 - 2\/(-4). Let p = -0.03 - -0.33. Which is the nearest to -1\/3? (a) f (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/273 - s**5\/65 + s**3\/39 - 4*s. Find g, given that i(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 3*x. Let i(c) = c + 1. Suppose 4*v + 0*v + 12 = 0, -l - 2*v = 5. What is l*z(m) + 3*i(m)?\nAnswer: -m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = k, -q + 3*q + 5*k - 13 = 0. Let n be 3580 + 5 + q\/(-2). Let c = 517 + n. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717580 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = r - 15 - 14, -5*r + 77 = 2*s. Suppose r*o - 1223 = -373. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4807*x - 97. What is the tens digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195\/34 - 13\/17. Let d be 11\/(-40) - 2\/(-8). Let g = d + 367\/280. What is the common denominator of q and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -297*s**2\/2 + 117*s\/2 - 3.\nAnswer: -3*(3*s - 1)*(33*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 755552 divided by 4\nAnswer: 188888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 + 203*v + 1152. Give m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((-5724)\/(-11))\/27?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -877, 1\/3, 146, 0.4, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 12 + -24 + 1 + 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1+19.1\nAnswer: 18.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -282182*r**4 - 1693098*r**3 - 3386220*r**2 - 2257528*r - 48.\nAnswer: -2*(r + 2)**3*(141091*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = 3*a, 0 = 5*a - 8*p + 4*p - 25. Suppose -7 - 11 = -3*i. Calculate the lowest common multiple of a and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -317, -2\/21, 86, 29, -1 in ascending order.\nAnswer: -317, -1, -1\/4, -2\/21, 29, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 4. Let t be d - (-5000)\/88 - 2\/(-11). Differentiate -44 + 86 + 5*g**4 - t with respect to g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 - 4*k + 4*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3332897 is divided by 88.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.102318 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1 (b) 2\/59 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25174.\nAnswer: 2, 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -ae6 (base 16) in base 6?\nAnswer: -20530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 2*j + 4. Let z be 2*(198\/(-12) + 15). Determine c(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 - k**2 - 2*k - 2. Determine u(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29926 (base 16) to base 7\nAnswer: -1306303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 7) + (25 - (-8 + 73)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 77103421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -413554*n**4 - 3*n - 21592925 wrt n?\nAnswer: -1654216*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 233?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - d = -13342, 0*l + 4*d = -3*l + 10000. Does 139 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/24*632*(17 - 14)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71.08 + -48.15. Let c = 22.9 - k. Which is greater: c or -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 - -52 - (119 - 94)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 213*-3\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 9:10 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11656\/(-282))\/((-84)\/(-48)*24\/63)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3176*p*z**2 - 2*p - 7576*z wrt z.\nAnswer: -6352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9464224 by -1.\nAnswer: 9464224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 238\/(-816) - 2\/48. Is q bigger than 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32831.\nAnswer: 32831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 0.05, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 + 16*w - 9. Let j be l(4). Let i = j - -15. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-7 - -6) + (-2 - -1) + -11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + (-242)\/(-55))\/((-6)\/(-10)). What is the closest to f in 0.2, -1, -2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -300*n + 5108 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.4 (c) -2\/109 (d) 0.3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsbsbhbhhhbh. What is prob of picking 1 h, 2 s, and 1 b?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -313, -1230, -2757, -4894, -7641, -10998, -14965?\n\"Answer: -305*n**2 - 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 8. Let h be (-3*(-5)\/3)\/a. Solve 0 = 4*f - 16, -h*f + 7 = 5*r - 2*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 2 = 502. What is the remainder when 99 is divided by o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 117. Suppose -5*o + 4*b = -15, -b = -5*o - 13 + g. Put 9, 0, o in descending order.\nAnswer: 9, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 318*x - 320.\nAnswer: 2*(x - 160)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - f + 417 = 0, -4*b + f + 432 = -3*f. Suppose -4*s + 143 = 47. Suppose -m + s = 9. What is the greatest common divisor of m and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - -126?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64250 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -36*j - 3523. Let n be f(-98). Sort -4, -10, 23, -5, n in increasing order.\nAnswer: -10, -5, -4, n, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3027 and 30?\nAnswer: 30270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-328)\/20 + (-4)\/(-10). Let w be ((-3162)\/(-8))\/(-6 - 92\/t). Is (-15 - -1)*(w\/2 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 25 (c) 5 (d) -0.3 (e) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 46, 47, 38, 13, -34, -109?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1 - 2 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60560 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6*(6 - -3 - 3). Differentiate -42 - 871*v**a - 2*v + 2*v + 801*v**4 with respect to v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-3 - (316 - 334). Which is the fourth smallest value? (a) t (b) 0.2 (c) -1 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429523 (base 10) in base 6?\nAnswer: 50350055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -w + 3541, j - 898 = -0*w + 4*w. What is the remainder when j is divided by -1 + 6 + 3 - (-6 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12624 and 8679.\nAnswer: 138864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.474 + -8.074. Sort -1, -0.37, -0.3, q, 1 in increasing order.\nAnswer: -1, -0.37, -0.3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291570947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -812\/11 less than or equal to -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32667141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-4*-1)\/(sqrt(768)*-3).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -212?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*n = 64, 17*o - 14*o - n - 175 = 0. Calculate the remainder when (-7630)\/(-22) + 6\/33 is divided by o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13333333330 (base 4) to base 11.\nAnswer: 1202689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -q - 6, 0 = 3*q + q - 2*p. Let k(m) = -m**3 + 3*m**2 - 4*m + 2. Let l be k(q). Let w be 1\/l + 1\/2. Round w to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04943 - 0.95057. Let h = 10 + -15. Let n = 0.3 - 0.2. Which is the nearest to 0? (a) h (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a**2 + 3. Let k = -1824 - -1826. Let b(g) = -13*g**2 - 2. Give k*v(j) + 3*b(j).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 - 15. Let m(l) = -81*l. Give a(m(j)).\nAnswer: 78732*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 4. Let r be y(4). Let m be r\/(-5)*(-6 + 1). What is the common denominator of -28\/11 and (2\/m)\/(2\/(-7))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2 - 8 + 0 + 4*k + 2. Suppose 0*p = -2*p + 14. Let o be q(p). Is 25 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1 (c) -24\/19 (d) 4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3592113 is divided by 564.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 50*q - 2*q + 720 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 24.5. Suppose -2*a = -q, 2*q + 3*a = 7*q - 14. What is the nearest to 1\/2 in q, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n - 5 = -3*o, -14 = -5*n + 2*o. Let q be 0\/1*(-2 + 3). Let k = 20 - q. Solve 0 = n*u + k, 3*r + 2*u = 2*r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*l - 15, 3*l + 2*l = -3*o + 25. Suppose -10 + o = -2*n. Suppose -n*z - 5*j + 12 = -18, 0 = 2*j - 4. Solve -d = -2 + z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - f - 109397 = 0, 54887 = 2*i - 5*f + 184. What are the prime factors of i?\nAnswer: 7, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -682 - -686. What is the second derivative of 85*d**h - 27 + 4 + 45*d - 47*d wrt d?\nAnswer: 1020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 1:25 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98 + 10809?\nAnswer: 10809.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1406 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736058 is divided by 23704?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*-4*13*6\/39.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Suppose 2*u = -5*c - 12, -3*u + 4*c + 20 = -d*u. Solve -u*n - 10 = 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39092.\nAnswer: 2, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (9 - (-2 + 9))) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 12*b**2 - 7*b + 6. Let x(k) = -k**3 + 13*k**2 + 7*k - 6. Let a(o) = 4*q(o) + 3*x(o). Does 12 divide a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 3*m**3 - 9*m**3 + 2*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 - -8b71b?\nAnswer: 8b74c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 20*q**2 - 36*q - 106. What is t(-19)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 2*o - 6*o. Suppose -u = 4*u - 10. Let f(w) = -2*w + u*w + 0*w + 2*w. Calculate f(l(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 0.09. Let v = 0.2 + -0.1996. Let g = v - z. What is g rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = j - 3*n, -j + 5*n - 9 = 1. Suppose -11*w + 14*w - 1869 = j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 2.8. Let t = -47 - -48. Sort t, 2, z in ascending order.\nAnswer: z, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237492?\nAnswer: 2, 23, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1886, -2, 756, 14 in descending order.\nAnswer: 1886, 756, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*r + 15*r. Let j be r*(-14)\/(3 - 1). Let o(k) = -6*k. Let z(d) = -d. Give j*z(q) + 5*o(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 12, 1897*y - 30 = 1901*y + 5*b. Is y <= -1459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 458 - 449 = 0. Solve -5*l + 5*b = -4 - 1, -4 = -4*l + j*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000 rounded to the nearest 10000?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:01 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = h. Suppose 5*f + 4*a = -2, -3*a = 2*f - 2*a + h. Put 0, 3, 2, f in increasing order.\nAnswer: f, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r - 30*r + 14*r + 8*r - 31 - 10. Determine k(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {n: 4, f: 2, d: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3, 2, 626, 9, 5, 0 in increasing order.\nAnswer: -24, -3, 0, 2, 5, 9, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5 - j**3 - 4*j - 6*j**2 + 2*j**2 + 0*j + 2*j. Suppose 6*k = k, 16 = -4*p + 4*k. Let m be t(p). Solve -13 = 4*u + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63407221*s**4 + 229*s**2 + 127094*s wrt s.\nAnswer: -1521773304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3812 + -41961\/11. Find the common denominator of g and -85\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-14.2831\nAnswer: -114.2648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5941.\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 132, 247, 362?\n\"Answer: 115*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1680 divided by 60.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yooovvooyoooyoo. What is prob of picking 1 y and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/30620 and 10\/11679999.\nAnswer: 233599980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3101*b = -3105*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 8*j + 10. Let h be a(-7). What is the lowest common multiple of 6 and (h\/(15\/2))\/(3\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-1)\/(-35) + 0)*-15?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 - 1447136*h\/11 + 261775325312\/11.\nAnswer: 2*(h - 361784)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3812194?\nAnswer: 2, 31, 61487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 - 5*i + 2. Let y be c(2). Suppose -9*w + 75 = -y*w. What is the highest common divisor of 75 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13362984 and 6324.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(((i*i*i\/((i**44\/i)\/i))\/i)\/i*i*i)\/i*i)\/(i*i*i**36)*(i\/(i\/i**8*i*i))\/(i*(i\/(i**(-40)\/i))\/i) assuming i is positive.\nAnswer: i**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -5\/9, 161.\nAnswer: -5\/9, -1\/8, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = -84. Let s = 41 - r. Calculate the remainder when 38 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*n = -128*n + 2. Is -2824 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. What is the nearest to u in -0.1, -1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 23*u**2 - 7. Let a(b) = -4615*b + 5. What is a(z(r))?\nAnswer: -106145*r**2 + 32310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 2\/13 (c) 50\/9 (d) 191 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 343*k**5\/3 + 882*k**4 + 3962*k**3\/3 - 7216*k**2\/3 - 7139*k - 13310\/3 = 0?\nAnswer: -5, -11\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 3*n + 247, 4*s - 4*n = -972. Let a = 353 + s. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 2:51 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -309. Let q = f - -26. Suppose -q = -6*z + 3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2 + 1. Suppose 0 = -t + 2 + k. Suppose t*j = -2*q + 11 + 52, -q = -3*j - 27. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1992*y - 23*y**2 + 2*y**3 + 1992*y wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00739849045 rounded to 6 decimal places?\nAnswer: -0.007398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104.1 in -5, -8, -1, -3, 13.3, 12?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 - 44082*f + 1496476 = 0?\nAnswer: 34, 22007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30555162 divided by 1697509?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4832, 4834, 4836, 4838, 4840?\nAnswer: 4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19349572 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 37*l + 16. Give o(2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 + -90. Let z = 508\/33 - 52\/11. What is the common denominator of (-1)\/(((-8)\/20)\/(y\/10)) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -437*q + 440*q - 189. Let b be -1 + -1 - (-1473)\/(-24). Let l = q + b. What is the biggest value in -0.2, -4\/5, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, 2, -4 in decreasing order.\nAnswer: 3, 2, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -2*sqrt(77)*-4)\/(sqrt(176) + 2*sqrt(176)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13 - 7)*80\/(-100))\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1116\/(-744)*((-2)\/(-13))\/(-1)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 32 - 10 - 4*b - 9 to l*b + t and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5*o = 2*j + 15, -3*o - 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 2262?\nAnswer: -2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 14)*(5*d - 2*d - 2*d)*(3 + 1 - 2) to the form q + a*d and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (730 - 777) + 34 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 5*j - 1\/4*j**4 + 0*j**2 + 3\/2*j**3 + 3. Let k(z) be the first derivative of x(z). Determine o, given that k(o) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 35*v + 5. What is p(-9)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10157 minus 10426082?\nAnswer: -10426081.89843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b + 26*b**4 - 8*b - 2*b**3 - 5*b + 22*b**4 as g*b**3 + x*b + j + n*b**2 + f*b**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 0.21 (c) 2 (d) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 1. Let q(y) = y**3 - 4*y**2 - 5*y - 2. Let c be q(5). Let r be (23 + 0 + -1)\/c. Let m = 9 + r. Determine l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013830.757 + -6.6\nAnswer: -1013837.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*6\/(-50))\/((-3)\/25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y - 5 + 11*y - 1. Suppose -2*m + 0*f = -3*f - 6, 2*m = f + 10. List the prime factors of n(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -11.9982.\nAnswer: -4.79928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**21)\/((i*i**(-3)*i)\/i))\/(i\/(i*i*i**33*i)*i*i\/(i**(-15)*i*i)))**(6\/13) assuming i is positive.\nAnswer: i**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -13175766?\nAnswer: 13175772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*i - 2*x, 19*i + 7*x = 14*i + 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3985, 8034, 12095, 16174, 20277, 24410, 28579, 32790?\nAnswer: 37049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 113. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5891931836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 2, -7, -5 in decreasing order.\nAnswer: 2, -5, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*h**2 - 748*h**2 + 369*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 23842 - 11895 - 11947.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 18 = -34 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/2 - 4*l**2 + l. Let o be i(4). Find the third derivative of f**o + 2*f**4 - 3*f**2 + 2*f**2 + 2*f**4 wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/13 - 62160*g**2\/13 + 19128*g - 248672\/13.\nAnswer: -2*(g - 2)**2*(g + 31084)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.119\nAnswer: -0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 4513*b**4\/4 + 7237*b + 7558. Differentiate r(w) with respect to w.\nAnswer: 13539*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5547, 22642, 51051, 90780, 141835, 204222, 277947, 363016?\n\"Answer: l**3 + 5651*l**2 + 135*l - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - (4 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1584) + -4 + -2)**2 - 5*((-4 + -2*sqrt(1584) + sqrt(1584) + sqrt(1584))**2 - sqrt(1584)).\nAnswer: -60*sqrt(11) + 1529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 53. Let g be v(-50). Solve 0 = o + 7 - g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546539732 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3 and 133\/4212?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/106262 and -111\/155038.\nAnswer: 9457318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2892 and 271848.\nAnswer: 271848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0300531 + 0.02846. Round l to 5 decimal places.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5027271 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 - (0 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 + 198. Solve 5*v + 4*r - 8 = 3*r, f*v - 2*r = 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7022358 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5009, 10128, 15247, 20366?\n\"Answer: 5119*i - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1.8, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2084.5 + -2076. What is the third biggest value in j, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48614957 and -7241.\nAnswer: -48622198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 44506514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 26*w**2 - 57*w + 55. Suppose 2*t - 3*t + 34 = 0. Let a = -24 + t. What is the remainder when k(28) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 201*j**3 + 3*j**2 - 11*j. Let k(x) = -50*x**3 - x**2 + 3*x. What is -6*h(q) - 22*k(q)?\nAnswer: -106*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -824, 3, -3, -6, -4.\nAnswer: -824, -6, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3 + 2*d**2*x**2 - 385*d + 209*x**2 + 8 wrt d.\nAnswer: -6*d**2 + 4*d*x**2 - 385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - h + 12, -2*h - 12 = 2*l - 6*l. Suppose 5 = o + l. Find the third derivative of v**6 - v**6 - v**6 - 2*v**o wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4*s + 14. Let d be k(7). Suppose 2*z - d = 25. What is the remainder when 57 is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*k + 272 = -90*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000615 to 6 decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5161412 (base 9) to base 13.\nAnswer: 756998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.102 - -0.032. What is the second biggest value in 8\/3, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 501*w**3 + 2 + 498*w**3 + 3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*b = -44, -4*s + 5*b + 18 + 23 = 0. Let i be ((-7)\/s)\/(2\/4). Let o = -368\/3815 + 2\/1635. Is i smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/(-48) + (816\/(-26))\/(-4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-56)\/20)*-1*(-8)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-20)*k**(-22))\/(k**(2\/7))**12 assuming k is positive.\nAnswer: k**(-318\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*t)*(4 - 5 - 2)*(4 - t - 3 + 2*t).\nAnswer: -6*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -213? (a) -3\/4 (b) 2\/11 (c) -3 (d) 5 (e) -4 (f) -2216\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/976 and 45\/374.\nAnswer: 182512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*x, 2*x + 21 = 3*d + 4*x. Which is the third biggest value? (a) -6 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6609000 to the nearest 100000.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -21614, -1\/5, -4 in ascending order.\nAnswer: -21614, -4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 822180719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 60*a - 14. What is the units digit of c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*f - 2 = 2*r, f - 92 = -4*r. Let z = r - 18. Suppose -4*q + 2*h = h - 21, z*q - 22 = 2*h. Solve 3*a - 24 = 5*k, -q*a - 2*k + 1 + 8 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58341.\nAnswer: 3, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/17 (b) 3 (c) 81176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 6*t + 4. Give q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -65, -88, -121, -164?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/771884 and 169\/11578260.\nAnswer: 11578260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*y**3 - 2*o*y + 2422*o + 16242*y**5 - 2*y + 1 wrt y.\nAnswer: 6*o*y + 324840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 79*n - 991. Let y be h(16). Solve -261 = -6*d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8809 is divided by 338?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 6 = 3*d, 0 = -4*j. What is the units digit of 30\/d*(-4)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (60*s - 8*s - 109*s - 47)*(14*s**3 - 6*s + 6*s) as q + p*s**2 + v*s**3 + b*s + g*s**4 and give v.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65.574 + 66. Let i = s - -0.073995. Let c = 0.5 - i. What is c rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/48)\/(9*(-1 - (-5)\/6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:33 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307036 is divided by 1765?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -54, -148, -296, -510, -802, -1184?\nAnswer: -1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxjjccx. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -2*b**2 - 5\/6*b**3 + 100*b + 1\/8*b**4 + 0. Let g be 4*(0 + (-3)\/(-2)). Determine u(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 246.18 * 0.218.\nAnswer: 53.66724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/9 - 5\/9. Which is the third biggest value? (a) 2 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/5059?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142679441 a multiple of 1594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 35. Let s = 6659\/6 - 1104. What is the common denominator of 9\/w - 1\/((-12)\/299) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.263 - -2.063. Suppose -3*a - 5*u - 28 = 0, -a - 2*u - 13 + 2 = 0. What is the closest to a in b, 0.1, 0.12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2319306*0.6\nAnswer: 1391583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 33*a - 38*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235821 is divided by 235795.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 7*k**2 - 22*k - 6. Let n(b) = -3*b**3 + 13*b**2 + 45*b + 11. Let q(z) = 11*f(z) + 6*n(z). What is the second derivative of q(m) wrt m?\nAnswer: 24*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*u + 2 + 0 + 0 - 2*u - 2*u + 0*u + 0*u + 0 + 0 + u + (3 + 4 - 5)*(-1 + 1 - u) + 0 + 0 - u - 11*u + 96*u + 20*u as a + j*u and give j.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 37*u = 0, 2*o + 956 = -3*u. Let h = -478 - o. Which is bigger: 1\/167 or h?\nAnswer: 1\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrkrkookkkrkkkw. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7154*z - 1745593. Determine c(244).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 497*w**4 - 497*w**4 - 9*w**5 + 2*w + (3 + 2*w**4 - 3)*(0*w + 4*w - 3*w) + w**5 - w**5 + 2*w**5.\nAnswer: -5*w**5 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1161065 (base 10) to base 14.\nAnswer: -2231b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 107 + 4. Suppose -8 - i = -a. Suppose 0*z = z - 5. What is the greatest common factor of z and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4 + 8.6. Let g = -0.0190595775 - -11.0190592975. Let o = a - g. What is o rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4 + 9101*c**3 - 481*c**2 - 106*c - 1 wrt c.\nAnswer: 72*c + 54606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120396 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f - 36. Suppose 0*p - 112 = -2*p. Calculate the remainder when p is divided by w(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (336\/63)\/((-56)\/48*-4)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3827\/2224 - 22\/139. Let k = 22639 - 452871\/20. Find the common denominator of k and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -596126400 to the nearest one hundred thousand.\nAnswer: -596100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17385 and 60695?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*h - 86*h + 991 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*g + 2 = 0, -5*i - 2*g + 28 = -i. Let t = -813 - -253. Let c be 6\/27 + t\/(-72). Solve c + 2 = i*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.094 + 0.1155. Round v to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 58*f**2 - 7*f - 107. Let j(d) = 143*d**2 - 14*d - 213. Determine 2*j(n) - 5*y(n).\nAnswer: -4*n**2 + 7*n + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - -1212?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 180, 172, 164, 156?\n\"Answer: -8*d + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226980.313 + 226855. Let v = s - -0.313. Let m = -125.77 - v. What is m rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 34704?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 76652?\nAnswer: 306608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n + 84. Let g be p(16). Solve -197*x + g = -198*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124*t**3*z**4 - 2*t**3*z + 3*t**2*z**5 - 69*t**2*z**2 - t*z**2 wrt z?\nAnswer: -2976*t**3*z + 180*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2187598 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.12 + -10.12. Let q = 2 + -3. Let i be 1\/6*(-8)\/2. What is the nearest to q in i, o, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 99495.\nAnswer: -16\/6633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.2. Let c = -82.84 - 1.16. Let k = 84.5 + c. Put k, p, -4 in increasing order.\nAnswer: -4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 - -27. Let g = 695 + o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020 = -37*z + 2*c - 3*c - 1056 + 2034, -3*c = 2*z + 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 26 = 5*u. Suppose 15*x - 2265 + 900 = 0. What is the greatest common factor of x and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7284930682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*o + 978*o + 264*o.\nAnswer: 1718*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 336 - 2*l + 0*l - 347 + 723.\nAnswer: -4*l + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**4 + 11*h**3 - h**2 - 19*h + 16. Let t(q) = 2*q**4 + 6*q**3 - q**2 - 9*q + 8. Let b(p) = -3*f(p) + 5*t(p). Find y, given that b(y) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/(-62)*((-8)\/(-3))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.93729 * 0.5.\nAnswer: -11.968645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.4 + -0.4. Let t = 36 - k. Let c = t - 25.927. Round c to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169081213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 - 8 = 0. Sort 0.4, -0.3, x in decreasing order.\nAnswer: x, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-21024)\/511)\/48)\/(4\/(-336)*-3)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*f = -22, 2*r + 21 = -3*f + 6*f. Calculate the remainder when 61\/(1*(6\/r)\/(-2)) is divided by 69.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -890 - -888. Let d(q) = -6*q + 2. Give d(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 17*a**2 + 16*a + 3. Let d be u(16). Suppose -c = 2 - d. Differentiate -2 - c + 4*w + 1 - 14*w wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182256462 divided by -39951?\nAnswer: -4562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 10*t + 31576, -151*t + 156*t - 21004 = -2*a. Is 144 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - (3 + 3)) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28168, 56382, 84632, 112936, 141312, 169778?\n\"Answer: 3*w**3 + 28193*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)*o**4)\/(o**(-5)\/((o\/(o**(-3)*o))\/o)))**(-8\/11) assuming o is positive.\nAnswer: o**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*n - 70*n - 304 - 116 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:29 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20521.85 - -20535. Round f to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2364327 and 399.\nAnswer: 44922213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -693643, 3 in descending order.\nAnswer: 18, 3, -693643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93407 is divided by 172.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 + 35 = 0. Suppose -4*j + n = o - 2*j, -5*o = 4*j - 88. Let x(t) = -17*t + 9. Let y be x(-7). Calculate the greatest common factor of y and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, -2, -3, -4601 in increasing order.\nAnswer: -4601, -3, -2, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 4*a**2 + 3*a**2)*(-6 - 3 + a - 3 + 10 - 7*a - 10 + (-4 + 5 - 2)*(3*a - 5*a + a)).\nAnswer: -15*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 - 2*p + 5. What is f(4)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1100 or -1101?\nAnswer: -1101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + b)*(-15*b**3 + 0*b**3 - 17*b**3).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 59*j**2 - 5*j - 10. Let t(m) = -29*m**2 + 3*m + 4. Let i(d) = 2*o(d) + 5*t(d). What is the second derivative of i(h) wrt h?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1500028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from ifiiifiiif?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -22) + -10 + (0 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1947 - -2715?\nAnswer: 415c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l\/l**(-13\/3))))\/l)\/(l**(-1\/4)\/l) assuming l is positive.\nAnswer: l**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*c + 19 = -8, -3*c = 4*k - 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*b - 5*n + 7, 5*n + 42 = -4*b. Let u(g) = 5*g**2 + 12*g**3 - 13*g**3 - 7*g - 2 - 14*g**2 + 5. Calculate u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 g when four letters picked without replacement from gggggeggegegggg.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g**2 + 4*g. Suppose 0*a + 24 = 4*a. Let o = a - 4. Let h = o + 1. Calculate j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -210439, -211034, -211629, -212224, -212819, -213414?\n\"Answer: -595*w - 209844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h + 4. Let a(i) = -i + 1. Let y(t) = 3*a(t) - b(t). List the prime factors of y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5 + 2891*k**4 - 5797*k**3 - 31811*k**2 + 34752*k + 104148 = 0.\nAnswer: -2893, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -54*d**2 + 14*d - 50. Let s(o) = 11*o**2 - 3*o + 10. Let z(r) = -3*n(r) - 14*s(r). Find the first derivative of z(m) wrt m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3657)\/(-87) - (850\/(-493))\/50.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163513733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -223 + 218. What is the second biggest value in d, -2\/21, 2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -805, -628, -335, 74, 599?\n\"Answer: 58*k**2 + 3*k - 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416322 and 1944.\nAnswer: 44962776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - 1. Let j(c) be the second derivative of -c**5\/4 + c**4\/2 + 3*c**2 + c + 11. Let s = 2 - 4. Let h = s + 8. What is h*a(m) + j(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwxwwwxwrlrrl. Give prob of picking 1 x and 3 l.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 2*n + 11. Let j be a(-3). Let s be -1 - 8\/(-16)*(-2)\/j. Let u = -109\/9 - -9065\/747. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073052471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -118351.88 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 24 = 4. Let q be (-520)\/(-15) + 3 - s\/6. Suppose 0 = -v + q + 54. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 560 = -22*w. What is the remainder when w is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 1. Let c be 1\/(-3) + (-2)\/3. Let f(w) = -4 - 1 + 3. Let r be 24\/(-10) - 4\/(-10). Determine c*f(j) + r*k(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*-1*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -60. Solve 14 = 4*y - k, 11 - d = -5*y - 4*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23668678 is divided by 23668664?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3 + 67635121*h - 164424395 wrt h?\nAnswer: 6*h**2 + 67635121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + r + 1)*(-2 + 0 - 5) - 2427 + 4*r + 2427 - 4*r - 3*r + 4*r to the form k + j*r and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579635797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -871*p + 38. Let a be g(1). Let f = a - -891. Let h = 53 - 32. What is the remainder when f is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3077227 by -6.\nAnswer: 3077227\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147438, 590141, 1327978, 2360949?\nAnswer: 3689054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11902 = -42*n + 31*n. Calculate the remainder when n is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p - 120 = -2*q, 2*q - 117 = 5*p. Suppose q*b - 762 = 69*b. Let s = 139 - b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6123\/970 - 6\/485. Let x be (8424\/(-495))\/((-1)\/10). Let g = x - 26703\/154. Calculate the common denominator of v and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -2\/105 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 3. Let a = 72 - 66. Let o(s) = 3*s - 2. Determine a*o(b) + 4*g(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/15 - 25*b**4\/24 + 18*b**2. What is the second derivative of i(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12812 - -12878. Put v, 0.03, 2 in increasing order.\nAnswer: 0.03, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 384 = 36. What is the highest common divisor of 49 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 376389*p. Let g(y) = -62*y**2. What is x(g(h))?\nAnswer: -23336118*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1. Let u(b) = -1160822*b**2 + 580409*b**2 + 580414*b**2 - 18*b. Calculate u(f) - 2*z(f).\nAnswer: f**2 - 18*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(16\/(-12) + 1\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**3 - 5*v**3 - 7*v**3 - 2*v**2 + 2*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-99)*3\/(-29))\/((-10)\/15).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*o = 190*o - 1170. Let t(r) be the first derivative of 4*r**2 + 0*r - 4*r**3 - 1\/5*r**5 + o + 3\/2*r**4. Factor t(l).\nAnswer: -l*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 49 = -61. Let c = 42 - j. Calculate the remainder when 102 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-5) + -1*1. Suppose 48 = z*s + s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87347\/3774 - 14\/629. Calculate the common denominator of -35\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + -1 - (2 + -2). Let k = 128\/13 - s. What is the closest to 0 in k, 2, -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-40 - 0)\/(-4) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 20) + 11 + 12 + -129 + (18 - 6)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - 77) + 24 - (22 - -3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 484632*t\/5 - 58717043856\/5.\nAnswer: -(t - 242316)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/8 - 2\/(-8). Suppose -c = -6*t + t. Is t less than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 17. Suppose 0 = -3*q - 4*t + 3*t - b, -4*q - t = 15. List the prime factors of (q - (4 + -6)) + 54.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -14*v - 22. Let f = 315 - 310. Solve v*j + 5*h + 7 = h, j = -f*h + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -231*y + 21989. Determine a(94).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*l - 144*l + 273 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 2968020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 17*z - 476. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1832940 divided by -3594\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46524, -371692, -1254202, -2972724, -5805928, -10032484, -15931062, -23780332?\nAnswer: -33858964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 6:36 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13671)\/42*((-28)\/6 + 2) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101212 (base 3) in base 7?\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o - 2*c - 8, 3*c = -5*o + 1. Let q be 1 - (0 + 2 - o). Is -2\/9 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Let v(l) = -8*l**x + 8*l + 5 - 13*l - 2*l**3 + l**3. Is 8 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 14081\/16302 - -2\/429. Put 5, t, -5, 4\/9 in decreasing order.\nAnswer: 5, t, 4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a week in seconds?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + 2 + sqrt(3) + 5 + 5 + 0 + (sqrt(3) + 2*sqrt(3) + -3 - sqrt(3)) + sqrt(192) + -1*sqrt(192) + sqrt(192) + sqrt(192) + sqrt(192))**2.\nAnswer: 486*sqrt(3) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by 104.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - p = x + 49, 0 = 5*p - 5. Let y(q) = 2*q**2 - 6*q + 17. Let o be y(x). Let j = -92 + o. Calculate the highest common divisor of 26 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n - 5*g + 2370, 4*n - 9556 = -g. Suppose -2*c + 3*f + 2366 = 0, 3*c + 3*f - n = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 12*n - 11. Let f be y(-11). Suppose f = -i - 4*i + 30. Suppose i*t - 2*t = 4. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102272.197 rounded to the nearest 1000?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 23459 = 5*v, 14068 = 3*v + 3*h + 2*h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11*n = 14*n - 35, -4*m + n + 105 = 0. Calculate the highest common divisor of m and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -71 - (87 + 1)) + -23.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39353 and 485953?\nAnswer: 659438221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0 - 1. Let b = 104.7 - -665.3. Let k = -773 + b. Is s greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {g: 3, p: 1, c: 2, y: 1, t: 2, v: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -64, 0.4, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -3, -18, 13 in ascending order.\nAnswer: -18, -3, 5\/2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -6)\/(8 + -7). Suppose 0 = -2*b + 5 + w. Calculate the smallest common multiple of 9 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238 and 2?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3986 and 93326.\nAnswer: 185998718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -3*f + 4*s, 3*f - 3*s + 668 = 8*f. What is the remainder when f is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.056 times 32?\nAnswer: 673.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Suppose -3*p = h*d - 1233, -4*p + 9*p - 2095 = 3*d. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2407634*y**2 + 6255206 wrt y.\nAnswer: 4815268*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/((-4)\/(-4)). Suppose 0 = -s - 4*v - 10, -5*s = v - 2*v + 8. Let w be (-2)\/s + (0 - n). Solve 0 = w*t + 4*k - 10, k = -4*t - 0*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*d**2 + 23207 - 3*d**3 - 213*d - 23312 - 54*d**2.\nAnswer: -3*(d + 1)**2*(d + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -1 - 3. Let b(u) = -u**2 + 7*u - 9. Let s be b(g). What are the prime factors of (s + -4)\/(4\/(-164))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 12 - 10)*(0*v**2 + 0*v**2 - 10*v**5) - v**5 - 8*v**5 + v**5.\nAnswer: 142*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -43 + 0*j + 1\/24*j**4 + 4*j**2 + 85\/3*j**3. What is the first derivative of v(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34*(36\/(-20))\/3*(-2060)\/(-824)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x + 2*m - 5866620, -3*x = 2*m - 3519972. Suppose 2*h - x = h. Suppose -h = -2*i + 6676. What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86111392211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46689766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*h + 25. Let d = 18 - h. What is the highest common divisor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4847 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14445)\/2140)\/(((-14)\/21)\/(20\/15)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -946 or -948?\nAnswer: -948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 18366 = -6498. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1549911, 1549904, 1549905, 1549920, 1549955, 1550016?\n\"Answer: v**3 - 2*v**2 - 8*v + 1549920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*w**4 - 1047470*w**3 - 16058695*w**2 - 70864220*w - 68419680 = 0. Calculate w.\nAnswer: -69816, -7, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15712598267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -1942764003783.\nAnswer: -1942764003792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y - 29. Let s be q(-6). Sort 4, 2, s, -1 in increasing order.\nAnswer: -1, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3*u**3 + 219*a**3 + 34*u**3 wrt u.\nAnswer: 3*a**3*u**2 + 102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -6, 0.1, 3\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -45*h + 96. Let r(m) = -21*m + 51. Determine 4*b(q) - 9*r(q).\nAnswer: 9*q - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 + 4*r**3\/3 - 3*r**2 + 3*r + 210. Determine a(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.6 * 0.5.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 - 5*c - 2. What is t(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 6*a + 1. Let u be n(6). Let p be (-5 - (-78)\/18)\/(22\/6). Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260296861 or -3?\nAnswer: 260296861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 3*j**2 + j + 3. Let d be (-5)\/2*48\/(-40). Suppose 2*o - o = 5*v - 17, -3*v = -d*o - 15. Determine i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**2 + 140*l - 75.\nAnswer: -5*(l - 5)*(5*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/15 + (-381)\/(-15). Let a be (-10)\/l + (-6)\/(-15). Factor a + 1\/4*g**2 - 1\/4*g.\nAnswer: g*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (172\/(-559))\/((-10)\/(-845)) - 5\/1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -67161?\nAnswer: -67171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/2969 + 270173\/17814. Find the common denominator of 3 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 96*h**2 + 0*h + 0*h + 2*h.\nAnswer: -96*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 31. Let m be 208\/24*(-1 + v). Let r = -25 - m. Which is smaller: r or -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470 a factor of 605046419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 20 = -p, -5*f - 10 = -p - 4*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 - k**3 + 5*k**3)*(-3 + 1 + 1) + (-77 - 68 + 140)*(0 + 0 + 2*k**3) + 531*k + 35*k**3 - 531*k.\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*y = -2*y - 5*l - 130, 2*l = y + 4*l + 30 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 14 (b) 4 (c) -4\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16870510 divided by 10?\nAnswer: -1687051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10249 and 1946?\nAnswer: 19944554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Suppose 10*f + 15*f - 25 = 0. What is the closest to 0.09 in m, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150335 + -23002?\nAnswer: 123333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 14*d + 74. Calculate q(7).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 9 - 5)*(1 + o - 1) + (-68 + 26 - 58 + (0 - 4 + 2)*(2 - 2 + 1) + 0 + 3 - 1 - 2 - 1 + 5)*(-o - o + 0*o) as q*o + m and give q.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 61*y - 923. Suppose -4*b + 91 = 15. Calculate the remainder when b is divided by p(-31).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1528.79 and 25.29.\nAnswer: 38663.0991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, -0.7 in descending order.\nAnswer: 0.5, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(832) + -2) + (sqrt(65) - 2*sqrt(65)*-2)\/(sqrt(10)\/(sqrt(8)\/sqrt(4))).\nAnswer: -19*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61873, 123756, 185639, 247522?\n\"Answer: 61883*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (1 + 1) - (1051 + -1035)) + -15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 520 and 24700?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 8:35 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 21*t - 72. Let s be l(-14). Let v be (-70)\/(-22) - 10\/55. Suppose -2*q + 49 + v = 0. What is the greatest common divisor of q and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -561*a**2 - 8. Let v(t) = 18*t - 2. What is v(p(s))?\nAnswer: -10098*s**2 - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9700 divided by 194\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -92*n - 184*n + 90 + 1584 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 996350000 rounded to the nearest one million?\nAnswer: 996000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-42)\/(-18))\/(1\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 230, -65, 4, 6.\nAnswer: -65, -1, 4, 6, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6100 and 505690.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.3133 to one decimal place.\nAnswer: -84.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2179036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -43?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 7*q - 682. Let w = 2 - 0. Suppose -24 = w*z - q. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 2735. Let k(i) = -i + 18. Let t be k(18). Is r(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 38. What is the smallest common multiple of 3 - (o\/(-21) + 4\/6) and (10\/(-4))\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.167 (b) 367938 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 20*w**3 + 47*w**3 - w + w.\nAnswer: 67*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/36 - (-224)\/(-588)*7?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -517, -1211, -2191, -3463?\nAnswer: -5033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 7*b = -10*m - 0*m - 5*b - 52, -4*m + 52 = -3*b for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -456 (base 7) to base 13.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10283110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321184082 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 14 = 2, 5*v = -3*m - 9. Is -7\/6 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 - 78*i - 36. Let m = -311 - -292. Let r be h(m). Solve r*t + 35 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(1260\/(-54)) - 464\/40.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 9*a + 12. Let m be r(-9). Calculate the common denominator of 37\/6 and 4\/m + 59\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -0.6 (c) 0 (d) -0.4 (e) 6 (f) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 7\/3190, 2\/15, -2 in increasing order.\nAnswer: -2, 7\/3190, 2\/15, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53862 (base 11) in base 3?\nAnswer: 10222022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 86. Suppose v + 0 = g. Let n be (-2)\/v*(5\/10 - 3). Which is smaller: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 838*q - 4165. Let f be v(-5). Let 1\/2*m**5 + 0*m**4 + f*m**2 + 0 + 1\/2*m - m**3 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2\/11 (b) 1.1 (c) 0.99 (d) -2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 522 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqqzzqqzq. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1753*k - 732*k**5 + 1142*k - 481*k + 3304*k**5 wrt k?\nAnswer: 51440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (635 - 637)\/((-4)\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/128?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -544 - 1267?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 28*j**2 - 477*j - 25. What is h(17)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 40\/7, -7\/4, -2.\nAnswer: -2, -7\/4, 4, 40\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82197405 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63946231 divided by -1717.\nAnswer: 37243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 + -21?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 569 + -569. Suppose -169*i + 168*i + 387 = b. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-24)*(-198)\/15 + -4. What is the second derivative of 11 - 11 - j*p**5 + 93*p + 0*p wrt p?\nAnswer: -580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(16\/3) + (-33)\/10.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134 + 107 - 12*a - 2*a**3 + 14*a + a**2 - 2*a to j*a**3 + i*a**2 + r + p*a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - r - 2*r)*(-11*r - 20*r - 6*r) + (3*r - 4*r - 3*r)*(-4*r - 2*r + 4*r) to w*r**2 + a*r + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -6. Let d be y\/4*14\/(-1). Let s be (-1 - (-18)\/d)*-4. What is the closest to -1 in s, -1\/11, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3645.6081*-5.\nAnswer: -18228.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:27 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73166 = 1021*i + 808*i + 58522 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519076.9 months in decades?\nAnswer: 20992.3075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-1\/2)*g*(g\/(g\/g**(1\/2)*g*g*g))\/g*((g*g\/(g*g**9*g)*g)\/g)\/g**(-30))**(-1\/19) assuming g is positive.\nAnswer: g**(-21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 2.439, -14, 34\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-13 - (-11 + 8)) - 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*b = -14, 3*b - 14 + 26 = 3*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2044817847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 875 = 2*s, -3*c - c = -2*s - 1162. Suppose 7*v - 1019 = -c. Calculate the remainder when v is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722299104?\nAnswer: 2, 3, 911, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 17 = -s + 3*j, s - j = -19. Suppose -5*y = -2*w - 24, y - 12 = 2*w - 4. What are the prime factors of 27\/s - 9\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 21 - (-296 - -312) - -56?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*r - 101, 0*r + 4*r + 4*s - 76 = 0. Let u be -3 - (0 + 15\/(-3)). Suppose 0 = u*g - 5 - r. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22000323012 (base 4) to base 5.\nAnswer: 1133001342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7208 + 7204. Which is the nearest to -1? (a) -166 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-18 + 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m - 26. Let i(l) = l**2 + 14*l + 13. Let w be i(m). Let y be -1 - (-4)\/(52\/9). Is y bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 692, 692, 674, 626, 536, 392, 182?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 4*i**2 + 2*i)*(i - 5*i + 2*i) + 3*i**3 + i**3 - 6*i**3 + (-4*i + i + i)*(-2*i - 2*i**2 + 2*i).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114\/5, -0.1, -1.\nAnswer: -114\/5, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59447.\nAnswer: 59447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1724, -5, 0, 3 in increasing order.\nAnswer: -1724, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20155310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -30 - (11 + -6) - (4 - (10 + -2))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 35472.\nAnswer: 106416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.542 - 65.058. Sort 2\/7, -3\/5, t.\nAnswer: t, -3\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 5*g - 2*g - 2*g. Let a(c) be the second derivative of -c**4\/12 - 4*c. Give f(a(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 16*r + 60. Suppose -53 = 3*d + g, d - 2*g + 3 + 24 = 0. Let o be y(d). Sort -1, -2, o, 2\/35.\nAnswer: -2, -1, 2\/35, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*a + 76*a = 3726. Suppose -5*l = 3*r - 562 - 51, -l = -r + a. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65817050 - 44707050. What is h rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9699255 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7883 or 1?\nAnswer: 7883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000354554 rounded to 6 decimal places?\nAnswer: -0.000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9267 + 0.6267. Let j = 0.18 + -15.18. Which is smaller: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 3*i - 4. Let x(t) = 2*t**2 + 5*t - 7. Suppose p - 3*r = 20, -4*p = 3*r - 4 - 16. Let f be 9\/6*p\/3. Let g(b) = f*x(b) - 7*m(b). Factor g(k).\nAnswer: k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 25*c**2 + 108*c - 3. What are the prime factors of j(14)?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-392)\/(-80)*2 + -10. Let i = 5651 - 90385\/16. Let q = i - 7\/16. What is the third smallest value in 1\/4, l, q, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5513 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 72, -702910*q + 10*r - 240 = -702909*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406 = -57*r - 779 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 33, -3, -309 in ascending order.\nAnswer: -309, -5, -3, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - f**2 + 5*f**2 - 9 - 6*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 0.02746.\nAnswer: 0.0021968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220644670 to the nearest integer?\nAnswer: 14854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:52 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1135532 = -4*o - 864453, -2*o = 5*k + 1000025. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-24)\/20)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 11*l**2 - 13*l - 57. What are the prime factors of b(-11)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13276 is divided by 164.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -829, -1658, -2487?\n\"Answer: -829*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 6:45 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-9)\/6 + 9. Let a be w\/30 - 764\/(-5). What is the greatest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-340)\/17*2\/8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -37, 117, -5, -18 in increasing order.\nAnswer: -37, -18, -5, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 134731282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o**2 - 112*o - 1951. Is 65 a factor of a(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11325590 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-240)*-24)\/(-16 - 8229\/(-520)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002766 rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let p be s(-5). Suppose p*a = -178248 + 1618248. Round a to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (55 + -73) - -80.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - -20617?\nAnswer: 20641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23826, -95204, -214170, -380724, -594866, -856596?\n\"Answer: -23794*h**2 + 4*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98643 and 366711?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x + 21*x + 16*x - 48 - 76*x + 48 + 21*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10622492775 - -0.1\nAnswer: -10622492774.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(192\/(-176) + (-543)\/(-528)). Determine c so that -9*c + d*c**2 + 35\/4 = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9.25 (b) -6\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/50 - 2\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2641 is divided by 379?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/((-2*sqrt(100))\/sqrt(10) + sqrt(10)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 - 2*b**2 + 4*b + 4. Let p(q) = -q**3 + q + 1. Let f(v) = g(v) - 5*p(v). Let r = 9 - 7. Determine f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -9*b + 19. Let u(r) = -6*r**2 + 42*r + 3. Let m be u(b). Solve 6*h - m = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -233\/5. What is the nearest to h in -0.3, -4\/5, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*s - 514, 12*j + s + 1007 = 14*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*m. Is (22 - (m + -2)) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/1 - -8*4\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5455825229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 10:32 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 8*i**2 - 8*i - 6. Let j be b(9). Suppose -2*h - 174 = -f, -13*f + j*h + 706 = -9*f. What is the least common multiple of f and 22?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37.07 and -712.4479979?\nAnswer: 749.5179979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*a + 13, 3*a + 17 = 2*c - 0*a. Find k such that -k**4 + c*k**2 + 2*k**3 + 4*k**5 - 3*k**3 - 3*k**2 - 3*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a0a (base 13) to base 6\nAnswer: 102215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 703164 by 22.\nAnswer: 31962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, f: 3, s: 1, r: 6, x: 1, m: 3}. What is prob of sequence rfsf?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*f*s*u - 17*f*s + 6*f*u**2 - f + 69*s*u**2 - 181*s*u - 2*s - 34794*u**2 + 2 wrt u.\nAnswer: 12*f + 138*s - 69588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/3528*-8*(-6)\/4\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8844 = 3*l - 0*l, 4*y - 7080 = -4*l. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*z**2 + 2)*(-4*z**3 - 5*z**3 + 6*z**3) + 2*z**5 - 2*z**5 - z**5 + (21*z**4 - 21*z**4 + 7*z**5)*(4 + 1 - 6).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 6\/4)*-20. Let j be 6\/c + 16\/(-40). What is the smallest common multiple of j\/(-3) - (-10)\/6 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 47, 143, 327, 629?\n\"Answer: 5*o**3 - o**2 + 6*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1647 + -1536.1. What is a rounded to 0 dps?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*x**4)*(-6 + 2 + 3) - 55*x**3 - 8*x**4 + 55*x**3.\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 46*k - 7. What is the least common multiple of c(-9) and (4\/10)\/((-1)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2147.08 - 2147.1767352. Let k = -8.39673453 - i. Let l = k - -8.3. Round l to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 564, 381, 198, 15?\n\"Answer: -183*f + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124672 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20714\/7 + -16136208\/5453. Let i = -4006\/779 + u. Which is smaller: i or -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, l: 1, e: 1, y: 1}. What is prob of sequence lnen?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/16 and (-4)\/2 + 1694\/(-84).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -20868 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/15)\/4)\/((-60)\/(-18)*-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/(d**(-2\/15)\/d))\/(d\/d**(2\/5)*d**0\/d*d*d*d) assuming d is positive.\nAnswer: d**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3804.4 + -3806. Which is the second smallest value? (a) x (b) 2\/27 (c) 1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995.702 take away -110826?\nAnswer: 112821.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-60)*(-13 + 12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1523*m**2 - 765*m - 24. Let p(z) = 1525*z**2 + 764*z + 30. Let h(x) = -5*o(x) - 4*p(x). Find the second derivative of h(r) wrt r.\nAnswer: 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2073 divide 155293250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*w - 180 + 177 - 91*w to the form l*w + n and give l.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**2)\/f*f)\/f*(f\/(f**(2\/15)\/f))\/f)\/(f\/f**(-1))**(16\/5))\/((f*f\/(f*f**(-2)*f))\/f*f*f*f**(2\/3)\/f)**(-9\/2) assuming f is positive.\nAnswer: f**(127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {g: 3, b: 3, t: 7, k: 1, s: 2, z: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 622579 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2097 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 285?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/360 + 7*u**5\/120 + 7*u**4\/12 - 9*u**3 - 49*u**2. Let x(z) be the first derivative of o(z). What is x(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112929, 114250, 115571, 116892, 118213, 119534?\n\"Answer: 1321*h + 111608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmfmmmmmfmmmmmmm. What is prob of picking 2 m and 1 f?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 7. Let w be y(3). Put w, -5, -4, -3 in ascending order.\nAnswer: -5, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7)*f)**(-2\/31))**31 assuming f is positive.\nAnswer: f**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1290550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106430 is divided by 4960?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 3, a: 2, j: 10}. Give prob of picking 1 a, 1 j, and 1 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 7*v**2 + 2*v + 14. Let y be z(-7). Suppose y = 8*i + 247 - 775. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 48. Let p = 55 + o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from whprwkf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -112720944 divided by 28180236?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2123941602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**2. Let r(p) be the first derivative of p**4\/24 + 11*p**3\/6 + 3*p**2 - 178. Let m(l) be the second derivative of r(l). What is k(m(z))?\nAnswer: -4*z**2 - 88*z - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 1697 = -153*j + 1264 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0a (base 14) in base 12?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -721 or -720?\nAnswer: -720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726901714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 27*b**2\/5 - 387*b\/5 - 357\/5.\nAnswer: 3*(b - 17)*(b + 1)*(b + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/2780947?\nAnswer: 4\/2780947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2279*z**3 + 3330*z**2 wrt z?\nAnswer: -13674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (4\/4)\/(-1). Solve -3*f = 3*k - i, -9 = 2*f - 2*k - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**2\/2 - 31*m + 224. Determine h(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - 0)\/(2\/(-14)). Suppose -j = -9*p + 7*p. What is the remainder when 80 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36611*n + 36589*n + 66 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 3 - 5*p**2 - 2)*(p + 3*p - 5*p + 3*p + 0*p - 2*p + (p + 2 - 2)*(-1 + 0 + 2)).\nAnswer: -5*p**3 - 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 - 27?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-60))\/(7\/(-84)*-27).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27520063 divided by -1.\nAnswer: 27520063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t + 386 = 146. Solve j - 3*j - o = 11, -4 = t*j - 4*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -32*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 784 + 64 = 0. Calculate the greatest common divisor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.5113*-0.1.\nAnswer: -1.05113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.73 in -0.04, -1, 3, -1\/4, -1.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67560 divided by -563.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -60, 2, 3\/5, -12\/23?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 326.4 and -33.\nAnswer: -10771.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237588*t**5 + 18569*t**2 - 8?\nAnswer: -14255280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 25 + 0 = 5*q, -4*o + 20 = 0. Suppose -5*i + q*i = 0. Suppose i*m + m = 3. What is the lowest common multiple of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76038, 304533, 685360, 1218525, 1904034, 2741893, 3732108, 4874685?\n\"Answer: j**3 + 76160*j**2 + 8*j - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 11:08 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 237 = -12. Suppose -7 - w = -5*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -15. Let b(i) = i - 12. Let l be b(0). Let g = l + m. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 29763817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 372368173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*w**2)*(0 + 2 - 1) + 5029*w**2 - 2520*w**2 - 2 - 2513*w**2 + 21*w as h*w**2 + l + u*w and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x. Suppose 0 = 6*j + 3 - 51. Suppose 0 = -5*r + 5 + 10, -3*l + 2*r = 0. Let d(n) = l*n + j - 8. Give h(d(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) + 11*-1. Suppose 0 = w - h + 2, h = -4*w + 9 + 3. What is the least common multiple of w and l\/(-15)*42\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -323 + 323.2. Let w = 0.059 - -0.241. Which is the third biggest value? (a) d (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Suppose -c + 0*c - 230 = 0. Let a be c\/(-8) + (-6)\/8. Let s(o) = -a + 28 - o. Give i(s(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Suppose d*a = 1 + 4. Let b = 3 + 2. Solve v + v = o - 1, b*v - a = -o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(8) + sqrt(16)\/sqrt(2))*-1).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 7 - (1 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*l + 45, 3*k = 2*l - 7*l + 40. What is the smallest common multiple of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4507, 8861, 13207, 17545, 21875, 26197?\nAnswer: 30511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:16 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137549779 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 980 + -657. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -66 + 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - 14\/(-3). Suppose 0*d + 4 = t*d. Let j = 2 - 1. What is the highest common divisor of d and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/16*3*(-4)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - -56 - (-11)\/((-165)\/(-10))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**(-16))**(-28)\/(u**(-2\/65))**(1\/13) assuming u is positive.\nAnswer: u**(-449538\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618.37 less than 20?\nAnswer: -598.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -23. Let d be (c\/6 - 2)*0. Solve -2*n - n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 7, -19, -87, -215, -421, -723?\n\"Answer: -3*y**3 + 6*y**2 + y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0 - 40\/(-20). Determine n, given that -328*n**3 + 532365 + 148176*n + 89337 + 4*n**m + 10584*n**2 + 664*n**3 + 156222 = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**7\/480 + t**6\/720 - 7*t**5\/480 - t**4\/48 - 142*t**3\/3 - 48. Let o(f) be the third derivative of q(f). Factor o(x).\nAnswer: (x - 1)*(x + 1)*(7*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-6 - -10) - (6 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10001001101010001 (base 2) to base 4\nAnswer: 101031101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -4887.35032 to the nearest integer.\nAnswer: -4887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(684) + 2*sqrt(684)*5 + sqrt(684) + sqrt(684))*-1)**2*2.\nAnswer: 312*sqrt(19) + 231194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 45*v**5 + 227*v - 5. Find the first derivative of d(f) wrt f.\nAnswer: 900*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -831415*1.\nAnswer: -831415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273953510 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 285 - 35. Suppose 63*u = -10384 + 12211. Calculate the remainder when m is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 132*n**2 - 124*n + 132*n**3 + 2*n**4 + 4*n**4 + 105*n**3 + 40 - 289*n**3.\nAnswer: 4*(n - 10)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqqg. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232069545.\nAnswer: 3, 5, 5157101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 8*l**2 - 8*l + 1. Determine m(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (16 - (-15 - -2 - -17)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 343?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 7*o**2 - 8*o + 8. Let c be k(6). Let p be 19\/4 - 1\/c. Suppose 0 = 3*l + p*h + 3, 5*l + h - 35 = 6*h. Does 1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21252\/14850*2*(-10)\/16 and 41\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t + t - 3*t)*(-63*t**2 + 299*t**2 - 90*t**2 + 406*t**2) as o + b*t**2 + g*t**3 + c*t and give g.\nAnswer: 2208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**15*y**(-1\/2)\/(y*y**6))**(-28) assuming y is positive.\nAnswer: y**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22656 - -22599. Which is smaller: -56 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 18*o + 15. Let q be g(6). Solve -3*d + 14 = y, 0*d - q = -5*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9615*m = 9594*m + 126 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/((w\/(w*w*w*w\/w**8)*w*w)\/w))))\/w*(w*(w\/(w**(2\/23)\/w)*w)\/w)\/w assuming w is positive.\nAnswer: w**(-94\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/((85\/(-60))\/17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206636.\nAnswer: 2, 551659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 = -2*x + 16, 0 = 3*p - 2*x + 20. Let k = -8 + 2. Put p, -0.2, 4, k in decreasing order.\nAnswer: 4, -0.2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 6)*(y - 3*y - 3*y) - 11 - 14*y + 11)*(-2 - 1 + 1).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*z + 156*z - 2. Let g(t) = -t + 1. Let r(f) = -5*f - 1. Calculate z*g(i) + r(i).\nAnswer: -3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 1) + -88 - -3) + (-27 - -84) + -44\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeeb when four letters picked without replacement from eaaaeebaebabebaeeba?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3, 2, -306, 55\/4, -5 in increasing order.\nAnswer: -306, -5, 2, 3, 55\/4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-960)\/96 + (-176)\/(-19). Which is the second biggest value? (a) 0 (b) y (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + -4. Let m = -117\/10 - -66\/5. Which is the second smallest value? (a) m (b) -1\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**5 - 827498*h**4 - 5126*h**2 + 1843 wrt h.\nAnswer: -600*h**2 - 19859952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 0*f**2 + 0*f**2 + (-5 - 1 + 4)*(3*f**5 - 3*f**5 + 2*f**5) + (3 - 3 + f**2)*(f + f**3 - f) + 367*f**5 - 19*f**5 + 120*f**5.\nAnswer: 467*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 992*l + 55949. Give c(-60).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 6*d**2 + 4*d - 3. Let g be p(-5). Suppose 2*x + 48 = g*k, 2*k - 4*x = x + 63. Which is greater: 16 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47792080 divided by -56.\nAnswer: 853430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 + y - 2. Let b be c(14). What is the greatest common divisor of b and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 140 = 112. Let z = k - -251. Suppose z = 6*s - 241. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 35, 40, 57, 92, 151, 240?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - l**2 + 0*l - 2*l - 5*l**3 + 0*l**2 - 5. Let a(t) = 24*t**3 + 4*t**2 + 14*t + 24. Determine 3*a(o) + 14*g(o).\nAnswer: 2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*a + 115, 8*u - 5*a - 195 = 3*u. Which is smaller: 549\/14 or u?\nAnswer: 549\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 1385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + v + 1. Let z(l) = -6*l**2 - 7*l - 6. Let n(c) = -5*j(c) - z(c). Let w be n(-1). Suppose u + 4 - 16 = w. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - a**2 + a**2)*(3 - 3 - 3*a) + (-3*a**2 + 0*a**2 + a**2)*(0*a - 5*a + 3*a) + 31 - 17*a**3 - 31.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:36 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4986 - 24928\/5. What is the closest to -4 in 3\/7, -16, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 7\/2*m**3 + 1\/30*m**5 + 0 - 19\/24*m**4 - 9*m**2 + 0*m. What is the tens digit of i(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcrcr. What is prob of sequence crrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + (sqrt(2448) + -1 - sqrt(2448)) + 4)*4 + sqrt(2448) + sqrt(2448) + 0 + -1 + -1 + sqrt(2448) + -1 + 0)**2 + 4.\nAnswer: 1512*sqrt(17) + 120037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -27*p - 6 + 34*p + p**2 - 2*p**2 + 1. What is the units digit of j(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68470008 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13631214743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 75 + 3*f**3 + 8*f**3 - 2*f**2 - 77. Let h(a) = 55*a**3 - 11*a**2 - 11. Determine -4*h(o) + 22*i(o).\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1722 - 1761.86. Let w = o + 40. Is w greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 3:53 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540 >= 3936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(11165\/1606) + 3 + 544\/85 + -11.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17929.9 hours in nanoseconds?\nAnswer: 64547640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-1\/3)*j**(-2\/3)*(j*j**(-2\/3)*j*j)\/j*j*j*(j*j**7)\/j*j**5*j*j**1*(j**(-1\/5)\/j)\/(j*j*(j*j**(-8))\/j*j) assuming j is positive.\nAnswer: j**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8bb06 (base 13) to base 15.\nAnswer: -50630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492002852.\nAnswer: 2, 3, 5399, 23029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s = 50*s + 3*l - 123246, -5*s - l = -102714. List the prime factors of s.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + 60*i**2 + 12*i - 21. What is t(15)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*a - 100*a = 3*l - 15, 8 = -4*l + 2*a. Sort 93, 3, l in descending order.\nAnswer: 93, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/27 - (-6)\/(-81))\/(4\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -29*o + 365. Let v(h) = -16*h + 183. Give 6*t(q) - 11*v(q).\nAnswer: 2*q + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1162 divided by 500.\nAnswer: 581\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-9))\/(-10))\/((5\/(-570))\/1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 8. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -0.9, 3, 1.\nAnswer: -0.9, 0.5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j + 52*j = 75*j - 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.4 (c) -35.7 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/573, -0.5, -0.7, 1, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.201 and 11.\nAnswer: -288.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 + 5*h**4 + 12*h**3 - 44*h**2 - 80*h.\nAnswer: -h*(h - 5)*(h - 4)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 61 + 30 - 1 + 4 - 1 + (1 + 1 + 0)*(0 + 2 - 3))*(-1 + 2 + 3*i + 2*i).\nAnswer: 350*i + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21078.7991 - -21081. What is y rounded to 2 dps?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxppk. Give prob of sequence pdx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d + 1. Let u(y) = 18*y**3 - 108*y**2 + 108*y - 108. Let i = -2178 + 2177. What is i*u(t) - 108*k(t)?\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 21*d**3 - 8*d**2 + d - 3. Let a be z(-10). Let p = a + 41813. What is p rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 178.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -5*f + 2*h, -h = 4*f + 4*h + 89. Let p = -10 - f. What is the remainder when p is divided by 3 - ((0 - 1) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*p + 842188 - 241027, -6*i + 1202322 = -4*p. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from zxzdzzdzzdxdzdzddx?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 162578526 divided by -3?\nAnswer: -54192842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 7*b + 25 = -5*i, 0 = 5*b + 5*i + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qngnqgnngqgnnn. What is prob of picking 1 n and 2 g?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 29 = -4*y + 5*a, 0 = 2*y - a - 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/5 - 4\/20. Do j and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v - 3 + 7 + 11 + v**2 - 8*v + v. Calculate the remainder when j(20) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -4 (c) 0.3 (d) 0.164 (e) -0.064 (f) -2\/5 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -107 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 4, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -1133212?\nAnswer: -1133214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1419)\/(-2070) - 15\/25. Let i = 1\/69 + z. Let k be (-3)\/4 - (-28)\/16. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 126. Suppose -f + 26 = -3*u + 207, f + p = u. Calculate the remainder when u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 68. Let l be g(25). Solve 2 = 2*z - q, 0 = -5*z - q + 12 + l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258 and 43?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*i - 18 = 0, 473*a - 470*a + 3 = -4*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-5)\/1)*(-70)\/(-175).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from cddddcdddducdddcc?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*17.658.\nAnswer: -5.2974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 53 = 4*a + 5*w, -a + 8 = 4*w. Let q = 0 + a. Suppose -2*h + k = -234 + 40, -3*k = -q. What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*i = 673*i - 279*i - 2490 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46\/7 + -44\/7. Suppose z + 2\/7*u**4 - 8\/7*u - 8\/7*u**3 + 12\/7*u**2 = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-6)\/45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -11.33. Let c = x + -2.57. What is the closest to c in -11, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/30)\/((-1)\/(-3)). Suppose -5*v + 0*v + 45 = 0. Let b(q) = -q + 8. Let j be b(v). Is h at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -278, -1145, -2602, -4649, -7286, -10513, -14330?\n\"Answer: -295*k**2 + 18*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129556700 rounded to the nearest one hundred thousand?\nAnswer: 129600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835498.\nAnswer: 2, 23, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -847*q**2 - 1680*q - 56. Let j(b) = 77*b**2 + 150*b + 5. Let z(a) = 56*j(a) + 5*l(a). Let n(f) = -66*f**2. What is n(z(v))?\nAnswer: -391314*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + 4*i)*(1 - 13 + 16).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*a - 31. Suppose -91 + 26 = a*b. What is the third biggest value in 5, -3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:27 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 4:32 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 3. Let d(o) = -6*o + 8. Let g(m) = 2*d(m) + 7*q(m). Calculate g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35193775 minus 69895.4?\nAnswer: 35123879.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 4*y + 17, 2*y + 3 = 3*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 + (2\/3)\/(-1). Let z(o) = -4*o - 2*o - 5 + q + 15*o. Let c be z(1). Solve 5*v = -3*f + 6, 0 = 4*v - 5*f + c + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 51.8, -11, 1, -7, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13923841*k**2 + 27847687*k**2 - 13923847*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 87. Let q(m) = 163. Let o(n) = -15*j(n) + 8*q(n). Let h(f) = 3*f + 3. Calculate h(y) + o(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - (-180)\/48. Let r = 87.26 - 87. Let f = r + -2.26. Which is the biggest value? (a) -0.4 (b) -6 (c) w (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 740625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:38 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 24 = 3*g. Let o(r) = -r - 6. Let w be o(g). Let s(h) = -h + 1. What is the units digit of s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82058.\nAnswer: 2, 89, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:01 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 557914 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -2*x**3\/3 + 358. Let m(w) = 7*w - 6. Let z(f) = -8*f + 7. Let q(s) = 7*m(s) + 6*z(s). Give o(q(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.318 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.456332 to 3 decimal places.\nAnswer: -1.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggj when four letters picked without replacement from {j: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 822*t - 9042. Calculate w(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 + -149. Which is the third biggest value? (a) 0.2 (b) j (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -94. Suppose -4*v + 5*j = v + 70, 2*j - h = 3*v. Let n be v\/(-6)*(-10)\/3. What is the nearest to 1 in -3, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945200 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13351 and 46982?\nAnswer: 3711578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4300, -34908, -117982, -279754, -546456?\n\"Answer: -4372*g**3 - g**2 - g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 74\/(-2)*((-40)\/4 - -11). What is the nearest to -1 in -1, -3, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/245244 and -4\/1605.\nAnswer: 1226220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*k**2\/5 + 3572784*k\/5 + 49862443401\/5.\nAnswer: (8*k + 223299)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 623, 1199, 1749, 2261, 2723, 3123, 3449, 3689?\n\"Answer: -2*p**3 - p**2 + 593*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 + -1. Let i = -53 + 50.7. Let f = m - i. What is f rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.9 - 60. Put -4, -0.2, b in descending order.\nAnswer: b, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29333815?\nAnswer: 5, 7, 19, 44111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 815899580 to the power of 1\/2, to the nearest integer?\nAnswer: 28564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-4))\/(1548\/(-30960)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, z: 1, m: 5, n: 1, k: 2, w: 2}. Give prob of sequence wkw.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -11\/333?\nAnswer: -11\/333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3776 and 1138620.\nAnswer: 1074857280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 238\/(-14) - -44 - 24. Solve -m - b*q + 8 = 0, -221*m + 223*m + 14 = 4*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.29 + -0.89. Let s = x - 11. What is the third smallest value in -0.3, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**2 - 2*i + 11. Let p(x) = 7*x**2 + 3*x - 16. Let m(o) = -5*p(o) - 8*s(o). Calculate the remainder when m(-5) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99777)\/10104)\/((-3127)\/(-2360) + (-6)\/5).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*(3 + 4 + sqrt(300) + 5 + (sqrt(300) - (-1 + sqrt(300) + sqrt(300))) + -2))**2 + -2).\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4082665111 - -0.66331.\nAnswer: -4082665110.33669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 105*w - 98. Let r be s(-32). Let l = -291 - r. What are the prime factors of l?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjj when three letters picked without replacement from pjpjpjjjjjj?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p**2 + 1. Let v(s) = -s**2 - 6*s - 5. Let b be v(-3). Let x(u) = -2*u**3 + 4*u**2 + 4. What is b*t(o) - x(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 - (-9)\/(-12)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 68\/(-4)*(1 - 2). Suppose -179 - w = -7*a. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -49a?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 1 + 1)*(-22*k**3 + 8*k**3 - 20*k**3) + 0*k**4 + 7*k**4 - 10*k**4 + 5*k**4 + k**2 - k**3 + k**3.\nAnswer: 36*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -171.00887 and 0.6.\nAnswer: -170.40887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let a(p) = -7*p - 84. Let v be a(-12). Let f(c) = v*c - c + 3*c - 4*c. Give f(z(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -96, 77, 190, 243, 236?\n\"Answer: -30*s**2 + 263*s - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -25. Let f = -24 - w. Let o = f + 2.00016. What is o rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 11:19 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:58 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:42 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -69) + 0 + (-9 - (1 + -4)) + 0.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5672 is divided by 5658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556983 = -2*s - 5*b, 10*b = -s + 13*b + 278486. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 2\/23, 4, 2\/19.\nAnswer: -0.1, 0, 2\/23, 2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-1\/4)*f**(9\/7)*f**(-1\/9)*f*(f\/(f**(3\/17)\/f))\/f assuming f is positive.\nAnswer: f**(20341\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2) + (-12)\/(-6). Let i(a) = 25*a - 3. Is i(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 - 140. Let y be (4 + 2)*(-6 - 15\/(-2)). Solve -4*i + y*i = -5*x - 10, a*i + 10 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 637 - 424. Suppose -m + h = 2*m. List the prime factors of m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 352 - -35?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 1 + 1)*(-5*h**3 + h**3 + 2*h**3) - 99003*h**3 + 3*h**2 - 18*h**4 + 49505*h**3 + 49499*h**3 + 16.\nAnswer: -22*h**4 + h**3 + 3*h**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r**2 - 23*r - 1. Let v be h(7). Suppose -k = 4, -4*k = 3*o - 6*o + v. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -0.3, -6\/5.\nAnswer: -27, -6\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - 100?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 g when four letters picked without replacement from {g: 4, f: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*j + 7 + 3 = 0, -j + 5 = 4*z. What is the hundreds digit of 2697\/15 - 3\/(-15 - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3*h + a**3 + 9*a**2*h - a**2 + 84047*a*h + 19638*a - 2 wrt h.\nAnswer: -2*a**3 + 9*a**2 + 84047*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32285535?\nAnswer: 3, 5, 2152369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117511 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 632818254 - 1607172?\nAnswer: 631211082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-4)*((-4)\/4)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177245355631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = -4*g + 3*q, 4*g - 3*q - 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 - k - 6. Let g be 1 + 1 - (15 + -17). Let a = -10 + g. Let p be u(a). Which is bigger: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0228 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4745, -9481, -14207, -18917, -23605, -28265?\n\"Answer: d**3 - d**2 - 4740*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -5, -4, 216 in ascending order.\nAnswer: -5, -4, 1, 2, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3570 = 3*b, 3*b + 659 = m + 1849. Which is greater: m or -8325\/7?\nAnswer: -8325\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -69*b - 1086. Does 19 divide v(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300262 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0208562452 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55983 + -55979. Suppose -2\/11*y**c + 8\/11*y**2 + 0*y**3 + 0*y + 0 = 0. What is y?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2014*a + 3633*a - 11908*a - 4793*a - 4295*a in the form q + x*a and give x.\nAnswer: -19377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Suppose 2*l = h*l. What is the units digit of l + (0 - 3)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171.642 - 171.993835. Let v = j + 0.352. What is v rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468778007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9830419069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-3) - -20)\/((-3)\/(-99)). Let h(z) = z**3 - 552*z + i*z + 11 - 6*z**2 + 0*z**2. Let k be h(5). Solve 5*y + w + 2*w = -k, -6 = 2*y - 2*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3264) + 1*sqrt(3264)*2))\/((sqrt(96) + (sqrt(96) - 1*sqrt(96)))\/(sqrt(6)\/(sqrt(27) + sqrt(3)))).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*b + 5. Let a be (-12)\/b*970\/4. Suppose -4*w + 6*p - p + 317 = 0, 3*w + 5*p - a = 0. Calculate the remainder when w is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 > 311363976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6\/k*k**(11\/3)\/k assuming k is positive.\nAnswer: k**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*g*t**2*y - 2306*g*t**2*z - g*t + 3580*g*y*z + 3*t**2*z + 2*t*y wrt y?\nAnswer: -12*g*t**2 + 3580*g*z + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12694?\nAnswer: 2, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b + 2*p = 146, 3 = -p. Suppose 0 = -4*s - 21 + 113. Let x = b - s. Solve 2*q + x = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 23. Suppose -2*f + a = -3*h + 2*h, 3*h + 2*f = 14. Suppose 0*b - h*b = -86. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**4 - 25*l**3 + 37*l**2 + 48*l. Let o(t) = 4*t**4 + 24*t**3 - 36*t**2 - 48*t. Let j(u) = -5*o(u) - 4*w(u). Factor j(y).\nAnswer: -4*y*(y - 2)*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-90)\/(-12)))\/(((-2)\/(-7))\/(7840\/2058))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 69?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/4 - 409995*r**4\/2 - 204999*r**3 + 2049979*r**2\/2 - 2459973*r\/4 = 0.\nAnswer: -3, 0, 1, 819991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 180 = -5*k, 97 = 3*k + 2*d - 3*d. Suppose 0 = 172*p - 411*p + 17686. What is the remainder when p is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3030, -1, -4, 3, -5, 9, -2 in decreasing order.\nAnswer: 9, 3, -1, -2, -4, -5, -3030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let q be t(2). Is (7*16)\/q - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 3 + 10 - 14*y + 5*y**3 + 14.\nAnswer: 5*y**3 - 14*y + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2304 (base 5) to base 3\nAnswer: 110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 15*r**2 + 16*r + 14. Let m be h(16). Let u(p) = -p**3 + 15*p**2 + 3*p - 28. Does 17 divide u(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 1)*-5 + 5.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.73 (b) 2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + (1*sqrt(704) + -1 - sqrt(704)))*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -231, 59 in decreasing order.\nAnswer: 59, 2, -8, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ab (base 12) to base 5.\nAnswer: -10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*y**4 - 183*y**3 + 12*y**2 - 8*y + 2?\nAnswer: -168*y - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 - 13*g - 24. Let c be (-246)\/54 + (-4)\/(-72)*-8. Is q(c) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, -2\/137, -854?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011111111010011 + -11?\nAnswer: -101011111111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(5\/(-8)))\/((-8)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.089\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*2 - -1 - -3. Let n = 20 + s. Suppose 10*i + 2*i**3 - 10 + 4 + 2 - n*i**2 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90790 by 5.\nAnswer: -18158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - 3.11. Let c = b - -55. Let m = 52.02 - c. Is m smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3. List the prime factors of p(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48407 and -1038228.\nAnswer: -1086635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.24 - 0.06. Which is smaller: 5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*o + 4*d, 5*d = -6*o + 7*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33299.\nAnswer: 7, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-2*1)\/(sqrt(275)*-1*-1)*-4.\nAnswer: 64*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23467755 to the nearest integer?\nAnswer: 4844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a + 21 = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281396220 a multiple of 2060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 525321?\nAnswer: -525302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o + 137. Let c be q(11). Suppose 4*w = 5*w - c*w. Suppose -4*u + 2*n + 4 = 2, 4*n = -3*u + 18. Solve w*j + u = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178897 is divided by 3190.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 505 - -2029. List the prime factors of v.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 - 14 = 0. Let q = h - -32. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -55*h + 3522. Determine r(64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) + -3*sqrt(252)) + sqrt(252))\/sqrt(9).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*k**2 + 19 - 13*k**2 - 11*k**2 as x + l*k**2 + d*k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 + -264. Which is the second biggest value? (a) s (b) 40 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*s - 258, 5*s + n - 127 = 327. Let t = 6 + -3. Suppose 12 = -t*h + s. Calculate the highest common divisor of 182 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 - 207*f - 1061. Calculate s(74).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23424 divided by -57.\nAnswer: -7808\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2727)\/1212)\/((-1*2)\/(-8)))\/(-5).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 13*k**2 + 4*k - 37. Let b be s(11). Let z = b + -242. What is the highest common divisor of 63 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*b**2 - 1748 - 1744 + 5235 - 1743.\nAnswer: 551*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 4*r + 1. Let i(f) = -f**2 + f - 1. Calculate -a(d) + 2*i(d).\nAnswer: d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -674298 >= -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 8:44 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 8*k**2 + 11*k + 21. Let h be f(-9). Suppose -h*z + 5 = 5*g, 2*z - 4*z = 0. Are g and -1\/35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 639*f**5\/20 + 35*f**4 - f + 61. Find the third derivative of z(v) wrt v.\nAnswer: 3834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22587340*v**3 - 2*v + 16723602.\nAnswer: 135524040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -25, -60, -117, -202?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, d: 10, h: 1, k: 2, e: 1}. What is prob of sequence hiid?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5.4. Let g = -74 + 145\/2. What is the second biggest value in 1, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 6*r + w - 422 = 0, 2*r + 5*w = 220. Which is greater: r or 103?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 - 3*s + 1. Let h = -35 + 24. Let a = h + 8. What is g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 64*j - 11. Let h(v) = -21*v + 4. What is 11*h(d) + 4*r(d)?\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 572?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:36 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p - 5. Let n(b) = 7*b + 11. Suppose 4*v + 140 = -3*i, 3*i + 5*v = 2*i - 43. Let r = 42 + i. Calculate r*n(y) - 13*x(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -222110101202?\nAnswer: 222110101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3883 - -119370. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -61. Let d = 4 + 5. What is the second derivative of 2*p**5 - p + o*p**5 - d*p**5 wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2*(-12)\/(-80))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 34 = -2*l, -138*v - 11 = 5*l - 140*v. Let a(o) = 1. Let i(x) = -44*x**3 - 88. What is l*i(h) + 88*a(h)?\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*v - 15, 5*x - 3*x = v + 9. Solve x*a + 25 = 0, 0 = -3*m - 3*a + 4*a + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -22*q**2 - 119*q + 121. What is d(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/6)\/((-2)\/(-4)). Let q be 2\/((-2)\/(-8)*2). Suppose 0 = -l - q*l + a. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.037 and 0.3.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*f + 25 = -0*l, -2*l + 6 = -2*f. Which is the closest to -1? (a) l (b) 0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 13*n - 21. Solve n*x - 2*x = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246480 (base 9) to base 2\nAnswer: -100100011001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + y - 5 - 2 = 0, -3*d + 2*y + 6 = 0. Let n(p) = p + 5. Let t(k) = 3 + 8 + 2*k + 3. Give d*t(f) - 11*n(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + 28\/16. Let c be (k\/3)\/((-8)\/(-132)). Suppose 0 = a - 2*a + c. What is the remainder when 20 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 8. Let h be i(-8). Suppose 5*y + h = 3*k - 24, 5*k - 15 = -2*y. Which is the second biggest value? (a) -5\/2 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.019 (b) -180\/7 (c) -3\/2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1497, 1571, 1643, 1713, 1781, 1847?\nAnswer: 1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/12 - z**3\/3 + 5*z**2\/2 + z. Let r(x) = 4*x**3 + 2*x**2 - x - 1. Let g be r(1). What is the units digit of b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:44 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179436 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18166, -18619, -19374, -20431, -21790, -23451?\nAnswer: -25414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 296.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(108)\/sqrt(4) + -1 + (sqrt(45)\/sqrt(3)*3)\/(sqrt(20)*-4).\nAnswer: -5 + 21*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-41 - ((9 - 52) + 9))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 2. Let p be l(5). Let t be (0 + -3 + 9)*-1. Let c be 1\/(-3) - 8\/t. Solve p + c = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 30. Suppose 2*v = -w*x + 86, 1 = 2*x - 4*v - 67. Solve j - 5*a - x = 0, 0 = 2*j + 2*a - 0*a + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1204 and 24381.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/2 + (-84129)\/21025. Let g = 23 + -24. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**4\/3 + 19*q**3 - 110*q**2. What is the first derivative of o(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -1. Let z(i) = -i - 2. Let a be z(c). Let g(t) = t - 1. Let r be g(-1). Put a, -4, r in descending order.\nAnswer: a, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 8:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 3*b - 508. Let t(n) = 8*n**3 + 9*n - 1527. Let o(i) = 11*s(i) - 4*t(i). Let d be o(0). What is the greatest common divisor of 52 and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 91*f**3 - 9*f**2 - 63*f + 158. What is c(2)?\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) - (4 + 2*sqrt(7))).\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -4, -15 in decreasing order.\nAnswer: 2, 1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + l**2 + 3*l + 3. What are the prime factors of u(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -9*i + 11*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*k**5*n - 102*k**4*n**3 - 8183*k**2 + 75*n**3 - 2*n wrt k.\nAnswer: -6840*k**2*n - 2448*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, 0 in increasing order.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2341 (base 10) to base 15\nAnswer: a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 1. Suppose -20 = -5*j + 5. Let a = -4 + j. Let s be y(a). Let l(q) = q - 5. What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p - 7. Let k be a(-3). Let m(h) be the third derivative of -h**5\/60 + h**4\/4 + h**3\/2 - 4*h**2. What is m(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*d**3*j**5 - 3*d**3*j**4 + 3*d**3*j - d**3 wrt j?\nAnswer: 560*d**3*j**3 - 36*d**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*a + 6, 4*a - 2 = -2*w + 2*a. Suppose -7*o + v = -w*o, -v = -o - 3. Sort -3, o, 2 in ascending order.\nAnswer: -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -31 + 91 + -33.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*g - 36*g - 516*g**2 - 49*g)*(2*g**2 + 0 + 0) - 2*g**4 - g**4 + 0*g**4.\nAnswer: -1035*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 + 240*v**3 - 3591*v**2 + 15066*v = 0.\nAnswer: 0, 9, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -22, -44, -66?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 8. Let h be 4\/(1\/t*-1). Let w be (-10)\/(-4) + 10\/h. Solve -14 = -g + 5*p, -4 = -4*g - 5*p + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234960001 to the power of 1\/2, to the nearest integer?\nAnswer: 15328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z. Let x(s) be the second derivative of 17*s**4\/12 - 6*s - 1. Give x(k(i)).\nAnswer: 153*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-1*(-93 + -4). Let q = -64 + o. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (0 - 2) - 15. Let u be 4\/(-6) - w\/3. Let k(n) = 2*n**2 - 2*n - 5. Is k(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(28) + -3 - (sqrt(28) + sqrt(336)\/(sqrt(12) - sqrt(192))).\nAnswer: -4 + 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + g = 10, 4*g = b + 2*g + 2. Solve y - 1 = 4*f, f - 4*f + 3 = -b*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l - 9 = 0, 4*v - 3*l - 945 = 0. Let u = -20 + v. What are the prime factors of u?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*2\/(-3)*1. Suppose -a*f + 1315 = 5*k, k + 3*f - 58 - 205 = 0. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2633, 5266, 7899, 10532, 13165?\n\"Answer: 2633*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48896 = 24613*s - 21557*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1355*d**3 - 460*d**3 - 447*d**3 - 462*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7271 + 14532 + 21358*y - 7261)*(2*y**2 + 0 + 0)*(y**2 + y**2 + 0*y**2).\nAnswer: 85432*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = f + 16, 2 = -d - 0*d. Let u = -5 - f. What is the remainder when 43 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 1. Let u = -476 + 75. Let p = u - -436. Calculate the remainder when p is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 10*b - 3. Let y be w(10). Let u(k) = 2*k**2 + 3*k + 3. Determine u(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 207824 in 6\/5, 4, -2\/5, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.71 and -58893.\nAnswer: -58890.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/7? (a) 2 (b) 1\/7 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*i + 15 = 0, -2*x + 2393*i - 2394*i - 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.37076 micrograms in tonnes?\nAnswer: 0.00000000006337076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 187*q**3 + 5*q**2 - 5*q - 5. Let i(a) = -6825*a**3 - 182*a**2 + 182*a + 182. What is -5*i(p) - 182*y(p)?\nAnswer: 91*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + -12. Let k(c) = -c**3 - 6*c**2 - 5*c - 13. Calculate the remainder when k(-7) is divided by 2\/5 + (-215)\/g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7555319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7683, 30938, 69757, 124140, 194087?\n\"Answer: 7782*t**2 - 91*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1036 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -3*y + 3*t, -2*y + 4*t - 14 = 0. Calculate the common denominator of 92\/(-56) - (y - 3)*-1 and (146\/18)\/(4 + -2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -137108, -274365, -411624, -548885, -686148?\n\"Answer: -y**2 - 137254*y + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137260949.\nAnswer: 7, 19608707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 7*p**5\/20 - p**4\/3 - 7*p**3\/6 + 5*p**2\/2 + 4176*p. Let z(k) = 15*k**3 - 9*k**2 - 14*k + 11. Determine 13*i(w) - 6*z(w).\nAnswer: w**3 + 2*w**2 - 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5718732 and 247811720?\nAnswer: 743435160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f + 108. Let w be i(11). Which is the nearest to -0.1? (a) w (b) 1\/2 (c) 224 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 1\/17 (b) 8 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let i(l) = 317*l**2. What is i(n(z))?\nAnswer: 317*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 72*y - 504. Let b be m(7). Suppose 0 = 4*t + 4*u - 8, -8 = -4*t + 3*t - 4*u. Solve t = -5*a - b + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 11, -13 in descending order.\nAnswer: 11, 5, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 2, d: 1, q: 1, s: 1, g: 2}. Give prob of picking 2 g and 1 q.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.71 + 11.71002025. Round q to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 5) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1008135860.028?\nAnswer: -1008135859.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2 + 2. Suppose o + 23 = 2*c, x*o + 0*o - 76 = -4*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/7, -0.7, -2\/23, -29?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9779 + 9787. What is the greatest common factor of v and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 2*i + 23*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4993*p**2 + 622*p**2 + 50 - 50.\nAnswer: 5615*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*v**2 + 3*v**4 - v + 116*v**2 + 442*v**3 - 420*v**3 as l*v**4 + c*v**2 + f + w*v + s*v**3 and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 5*f + 91. Let w = -36 - f. Suppose 3 + 0 = p. Solve p*c + c + w = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-63)\/(-6))\/(-3))\/(2\/4). Let s(d) = d**2 + 3*d - 8. Is s(u) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -20. Let b(u) be the first derivative of -1\/2*u**4 + 0*u**2 + f*u**3 + 1 - 2*u. Differentiate b(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17967253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 736186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 15}. Give prob of picking 3 s.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -205*w + 16771. What is the hundreds digit of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 15*b**2 - 5*b + 278. Let u be t(14). Solve 413*d = u*d + 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -1\/2, -5, -3\/1885, -3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3152, -6305, -9458, -12611, -15764, -18917?\nAnswer: -22070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r - 1. Let v be 5*((-42)\/(-15) + 0). Suppose -4*w - u = 1, -3*w = -3*u - 4 - v. List the prime factors of s(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25364041?\nAnswer: 59, 429899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*b - 10, -488*z + 491*z = 10*b - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7*s**3 - 5)*(-5*s**2 + 2*s**2 + 5*s**2).\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**3 + 5*n**2 - 117. Let t(b) = 5*b**3 + 2*b**2 - 50. Let q(j) = 7*t(j) - 3*w(j). Let c(s) = 46*s**3 + 2*s**2 - 2. Give -c(x) - 2*q(x).\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 397\/26 - -61\/39. Suppose 4*z - z + 39 = 0. What is the common denominator of s and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:13 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.071063 - 2148740\nAnswer: -2148739.928937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/11*c**3 + 4\/11*c + 0 - 6\/11*c**2 + 6\/11*c**4 = 0. Calculate c.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*66305798.\nAnswer: 198917394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(1*(sqrt(80) - sqrt(80)*1 - sqrt(80)) + sqrt(80) + -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o + 980 = 17*o + 1352. What is the highest common factor of 388 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6 and -25\/71055836.\nAnswer: 213167508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) 4 (c) -62\/5 (d) 29.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsrr when four letters picked without replacement from {r: 3, z: 1, m: 1, x: 1, f: 6, s: 5}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/13 - 23076*f**2\/13 = 0.\nAnswer: 0, 11538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l**2 + 12. Let w(a) be the first derivative of -a**3\/3 - a + 46. Give c(k) + 12*w(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = 3*x, 2*b - 2*x + 40 = 0. Let o be (-5)\/((-42)\/(-45) + -1). Let t be 30\/o - 6\/(-10). What is the second smallest value in -3, b, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 less than or equal to 259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11.9. What is the second biggest value in f, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70818 = -70*d + 77372. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*h - 83 = -6*h, -4*d + h + 63 = 0. Let s = d - 3. Let y = 122 - 52. What is the highest common factor of y and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1106 (base 10) to base 4\nAnswer: -101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*k**2*v**2 + 2*k**2*v - 2*k*v + 8*v wrt v?\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 214*b + 8753. Give p(159).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*u = -2*u, 4*b - 3*u = 17. Let s(p) = 5*p**2 - p - 1. Let j be s(-1). Solve 2*i + j*y + b = 0, y = 3*i - 6*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1883407 rounded to 4 dps?\nAnswer: -1.1883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (0 + 1)\/(-4*9\/(-360)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2434048 less than -0.0127?\nAnswer: -10.2561048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 3:34 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639.\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -21\/5 (c) 34 (d) 5\/2 (e) 3 (f) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, 9, 5, 0 in ascending order.\nAnswer: 0, 1, 5, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = -5*g. Let s(x) = 7*x**2 + 9*x. Let c(d) = 6*d**2 + 8*d. Let f(t) = 5*c(t) - 4*s(t). What is the lowest common multiple of 9 and f(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 16 = -2*d. Let b be 23 + -16 - (-5 - -1). Suppose -l + d*w - b = 0, -51 = -6*l + 2*l - 3*w. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*o = 6 - 2, 0 = 2*d - o - 23. Suppose d = k - 25. Calculate the remainder when k is divided by 1\/((-8)\/10)*-8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b03d - 2?\nAnswer: -8b041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 10) to base 12\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*j - 7, -11 = 4*q + q + j. Suppose 0 = -5*i - r + 376, 0*i - 4*r = -i + 92. Let w = 71 - i. Put 5, q, w in decreasing order.\nAnswer: 5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -95, 3\/23 in increasing order.\nAnswer: -95, 0, 3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2\/13, 17, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737383?\nAnswer: 29, 47, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.1 in 2, 1, -0.5, -0.01, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3445935, 3445937, 3445939, 3445941, 3445943, 3445945?\n\"Answer: 2*p + 3445933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1469934*q**2 + 1469934*q**2 + 3*q**3 - 5*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4356 divided by -4.\nAnswer: -1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -797935\nAnswer: -3191740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = -7*t. Suppose -r - 5*o = -87, 0*r - 2*r + t*o = -210. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + -22 + 21 + -17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4203 - -4548.2. Let j = f - 345. Let c = -1.05 - -0.15. Sort j, c, -1\/3 in decreasing order.\nAnswer: j, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w**2 - 31*w - 7. Let h(n) = 3*n**3 + 5*n**2 - 125*n - 27. Let a(m) = 2*h(m) - 9*u(m). What is the units digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395049.\nAnswer: 67, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-465)\/(-90) + (-1)\/6. Suppose -a - 2*v + 17 = 0, -3*a + 2*v + 33 = -2*a. Solve 10*c = r*c + a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/10)\/(((-5978)\/(-305))\/(-49))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 6*w + 507 = 0. Let l = w - -64. Solve -5*r = -4*y - l, -r = -2*y + 6*y + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95\/3, -6, 2\/201, 0.4 in descending order.\nAnswer: 95\/3, 0.4, 2\/201, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*t, t + 3 = v - 0*t. Let b be -2 + v + 0\/3. Let j be (-2)\/b*(2 - 0). Is 1 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*6\/(-4). Suppose 0 = 4*i + 4*a - 28, 0 = t*i + 2*a + 3*a - 32. Let v = 42 - 24. Solve -k + 4 = -3*u + v, 3*k + i*u = -6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let t(p) = p**3 + 5*p**2 - 7*p - 2. Let h be t(-6). Let r = -8 + 11. Solve -r*o = -h*s + 28, -f*o - 4*s + 3 + 5 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) - (-6)\/(12\/817) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4118 times -506\nAnswer: -2083708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 605, 2, 2\/75.\nAnswer: 2\/75, 2, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18717 = -2159*r + 11509 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4 - 4 - 2*z - 4 + 4. What is the units digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17392888*a**5 + 16138119*a wrt a?\nAnswer: 347857760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 41. Let k = -10.7 + n. Put k, -1.1, 2\/11 in ascending order.\nAnswer: -1.1, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -26*k - 673. Let r(x) = -4*x + 1. Determine j(n) - 6*r(n).\nAnswer: -2*n - 679","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 16. Let d = -331 - -129. Let p = -198 - d. Calculate the remainder when c is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1500)\/(-200)*(-5)\/(-75)*-10)\/((-15)\/8)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from qzlqlqlqvvrr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13361 - 3205 = -148*j - 21*j + 1179 for j.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -16648, 4, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 714 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 3, v: 1}. What is prob of sequence wwb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8730 = -a + 2*y, -31*y + 27*y = -5*a + 43626. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1.4\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 18 - x.\nAnswer: -x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6732945 and 0.3?\nAnswer: -2019883.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 1 + n**3 + 0*n**3 - 1 + n**2. Let w(b) = -b**2 + 5*b + 3. Let s = 10 + -4. Let j be w(s). Calculate a(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-2)*60\/40 - 14. Let o = 8.22 - 8.52. Which is the third biggest value? (a) 0.3 (b) o (c) g (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 36*d + 1 + 2*d**4 + 5*d**3 - 2*d**3 - 65*d + 0 + 31*d in the form s*d**2 + n*d + g*d**4 + p + o*d**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 4 - s**3 - 2*s**2 + 0 + 4*s**2 to t + r*s**2 + h*s**3 + x*s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(42\/10)\/((-93)\/(-155)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:16 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58470072.\nAnswer: 2, 3, 17, 139, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3321 + 289*a + 872 + 1598.\nAnswer: 289*a - 851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3007 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-92)\/12 + 5)\/((-2)\/3). Suppose 0 = -4*u + z - 2*z + 311, 5*u = m*z + 373. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-4))\/((-2)\/(-8)). Let f be (z\/5)\/2 - 2. Do f and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -44. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -968 - 285*j**2 - 6*j - 725*j**2 - 39*j**2 + 6*j wrt j.\nAnswer: -2098*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -13 - 27. Let c = -6 - n. Let h(v) = v - 3. Let p be h(c). Are p and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -27354*d**3 + 2*d**2 + 4*d + 3. Is b(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70814279, -141628559, -212442839, -283257119?\nAnswer: -354071399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9187\/210330 - -31\/1558. What is the common denominator of 92\/285 and m?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812 is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.261577 * -0.6.\nAnswer: -0.7569462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 5:33 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + j - 6 - 1, -5*j = 3*x - 11. Let y(i) = i + 8*i**x + 7*i**2 - 3*i**2. Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)*56\/16. Let h = 3 - y. Do 10 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36)\/(89\/(-534)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/23 (b) 2 (c) -2\/9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12298 is divided by 1623?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68922 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/2 + 2 - 1. Let v = -0.491 + -46.309. Let x = 34.8 + v. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601196 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370604 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 145, 522, 1381, 2962, 5505, 9250, 14437?\n\"Answer: 40*d**3 + d**2 + 94*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 2*z + 0*z)*(1672 + 128*z - 130*z - 4628) as n*z + t*z**2 + j and give n.\nAnswer: -8868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 666 = -611. Calculate the remainder when 153 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -1. Suppose -1 = d - 3*i + 1, 0 = -2*d + 5*i - 5. Sort 5, d, p in descending order.\nAnswer: 5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27326.23107 minus -15518?\nAnswer: 42844.23107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 68. Suppose -3*r + 90 = -c. Calculate the highest common divisor of r and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 74130*a**2 - 1633080*a - 2969600.\nAnswer: 5*(a - 14848)*(a + 2)*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42301 + 10022?\nAnswer: -32235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 200313?\nAnswer: -200300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 959, 1918, 2877, 3836?\n\"Answer: 959*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 2*w - 7. Let i(g) = g + 4. Let p(j) = -5*i(j) - 3*q(j). Calculate p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 6:45 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.891933ml?\nAnswer: 0.008891933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z**3 + 6*z**2 - 3*z**2 + z**3.\nAnswer: -41*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s - 315 - 600 = 0. Solve s*o + 22 - 67 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*b - 26 = 0, 3*t - 37 = t - 3*b. Suppose -q - 4*c = -10, 2*q + q = 4*c + t. What is the derivative of 5*w + 17 - q + 7*w - 8 wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - 13*x**2 - 50*x + 338. Let h be o(6). What is the highest common factor of h and 2796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*s + 2 = -2, -2*s - 12 = -3*z. What is the second derivative of l - 3 + 4*l**z + 3 wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by -6630.\nAnswer: 48\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:20 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 2*n + 2. Let h(j) = j + 1. Let s(u) = -2*h(u) + w(u). Let f(m) = -3*m**2. Determine f(s(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -347 - -352. Suppose 1606 = v*k + 1326. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f**(-5)\/f)\/((f\/(f*(f*f**4\/f)\/f*f))\/f**(1\/2)) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 754 and 754 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 57*u + 5. Let p be s(-19). Suppose 0 = -3*f - 4*d + 2199 + 1099, p*f + 2*d = 5478. List the prime factors of f.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a tonne in kilograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {z: 1, g: 1, u: 1, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w + 6. Let l(b) = -5*b + 2. Let q(t) = -4*i(t) + 11*l(t). Let u be q(5). Solve 0*z - u*z = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 101001100001111111000?\nAnswer: 101001100001111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)*a**1)\/(a**(1\/4)*a)**(-1\/27)*(a\/(((a\/(a\/a**0))\/a)\/a)*a*a\/(a\/(a**(-1\/4)\/a)*a*a)*a)**(-32) assuming a is positive.\nAnswer: a**(-5917\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:55 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:39 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18332 by -49052.\nAnswer: 4583\/12263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 5*r = 30*n - 35429, 5*n + 4*r - 88589 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209\/9 + 103\/6. Let v = -49\/290 + -229723\/2320. Let c = -783\/8 - v. Calculate the common denominator of y and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22448185.\nAnswer: 5, 31, 251, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1006323 + -1006282.1643. Let i = 40.8 - b. Round i to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 - 49 = -17*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -214913\/170 bigger than -1263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7409455.\nAnswer: 5, 1481891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and -71267?\nAnswer: 71266.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030 - 11121?\nAnswer: -12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14095 - 14092. Solve -3*j + 10 = -j - 4*v, 0 = 4*j + p*v + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 9. Suppose 16 = -4*t, -f - 2*t = 2*t + 26. What is the tens digit of u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 4:06 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*p + 329 = 0, -3*p - p = -5*t + 535. Suppose -737 = -14*a + t. Let f be (-2)\/5 + a\/(-225) - -2. Sort f, -5, 4 in decreasing order.\nAnswer: 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z - 8. Let d(u) be the first derivative of 9*u**2\/2 - 7*u - 684. What is -7*d(k) + 6*l(k)?\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000058017221 to six dps.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/3 - -2. Let r(f) = -5*f - 33. Let y be r(-7). Let k be (y + -1)\/(5\/(-5)). What is the closest to k in 0, 3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 + 82\/6. Let p = -8 + h. Suppose -p*k - j + 97 = 0, -2*j = -3*j + 2. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*s + 7260 = -367*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-10) - 7\/35. What is the smallest common multiple of (1 + 2)*(-1 - z) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 14 = 5*y - y, 4*y = z + 2. Suppose -2*j - 1 = 1, -2*j = -z*t + 1078. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 20 = -27. Suppose s*j = 2075 - 612. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13233.7578 to the nearest 100.\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11*(-3 + 2)*1. Let j = c + 1. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-2)*((-100)\/(-10) - -64)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*u**2 + 2*u + 19*u**3 + 40*u**2 + 2 - 4*u**3 - 2*u to w*u**2 + d*u**3 + r + f*u and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 125520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*u - 3 + 5, 3*a - u - 1 = 0. Let g = 1 + -4. Let v = 0.7 - 0.6. What is the closest to a in -1, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.000188 + 55. What is x rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 6*u**2 + 2*u**2 + (-u + 3*u + 0*u)*(-2*u - 4*u + 4*u) - 405*u**2 + 376*u**2 + 2*u - 1 - u.\nAnswer: -35*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 163*w**2 - 217*w + 13. Is s(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y - 14. What is the units digit of h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 2 - 0\/(1\/(-1)). List the prime factors of 91 + (-2 - -2) + z\/(-1).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -812*i**4*o**2 + 6790*i**4 + 13895*i**2*o + i*o**2 + 2*o**2 + 5*o wrt i?\nAnswer: -19488*i*o**2 + 162960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/4 and -103\/272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*l + 7*l + 7*l - 9*l.\nAnswer: 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-675))\/(9\/3321).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16956, 33910, 50864, 67818?\nAnswer: 84772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 2, y: 4, g: 7, a: 1, w: 1}. What is prob of sequence eea?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 945774 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 760 = -17*h. Let x = h - 75. Let a be (-4)\/(-10) + (-4)\/10. Solve 3*u - 2*u + x = a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose 2*r = 2*y + 600, -3*r + 1490 = 2*r - b*y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 781293513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 39837422*p + 1587020191606084.\nAnswer: (p - 79674844)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 17. What are the prime factors of o(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 255 - -144. Let j = p - 260. Suppose 5*r - 111 = 5*g + 4, -3*g + j = 5*r. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801258 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 27, -4 in ascending order.\nAnswer: -5, -4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4359, -4400, -4441, -4482?\nAnswer: -4523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819*u + 284 = -2017*u - 904 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 - 12*m - 1. Let l(w) = -400*w**3 + 250*w**2 + 3000*w + 250. Calculate l(k) + 250*r(k).\nAnswer: -650*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) -4 (c) 3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + q + 5 + (-3 + 3 + q)*(2 - 5 + 2) + 3*q + q - 5*q - q + 3*q - q + 3 - q - 3 + (-q + 0*q - q)*(1 + 1 - 3) + 6*q - 2*q - 2*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8426840.42 rounded to the nearest 10000?\nAnswer: 8430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1106, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let p be -4*(-1)\/4*5. Suppose 3*n = 5*o + 6*n - 6, -o = p*n + 12. Let a(c) = 4*c**2. Calculate o*a(k) - 5*j(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfu when three letters picked without replacement from vuufxrr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 + 1 + -2. Let v(s) = -27*s**3 + s**2 - 2*s - 3. Is v(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)\/u*u**(-1))**(-3\/14) assuming u is positive.\nAnswer: u**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -973.\nAnswer: -32\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*m + 18, 5*n - 3 = -4*m + 29. Let g be (-1 + 5 - m)*9. Suppose -g*b - 4016 = -10397. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.8 and -4.\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*((-168)\/(-49))\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 373046 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*b - 77*b + 44735 = 63*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/7 (b) -2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97260019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 f when four letters picked without replacement from iifiiiifiiiiif.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -492, -491, -466, -393, -248, -7, 354, 859?\n\"Answer: 4*g**3 - 12*g**2 + 9*g - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -4*l. Calculate the common denominator of (l\/10)\/((-12)\/850) and -2 + 97\/8 + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 17754. Let q(j) = -4*j + 1. What is q(m(r))?\nAnswer: 8*r**2 + 71017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -12*t**3 - t**2 - 2*t. Let b be w(-1). Sort b, 5, -3, -5 in descending order.\nAnswer: b, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3395 and 16005.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1*-6*(-650)\/195)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3) + 3 + -1*2. What is the derivative of -14*y**2 + 3 - 3 + 7 - v wrt y?\nAnswer: -28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -49*d + 37 + 4. Let z(a) be the third derivative of -a**4\/24 - a**3\/6 + a**2. Let b(k) = 2*k**2 + 6*k. Give d*b(r) + 4*z(r).\nAnswer: 2*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = 2*h. Suppose 2*y + x = -h + 29, 3*x + 12 = 0. Suppose 4*c = 5*s - 17, 2*c - y - 5 = -3*s. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**8\/672 - h**7\/210 + h**5\/60 - h**4\/48 - h**2\/2 - 3. Let d(y) be the second derivative of u(y). Factor d(a).\nAnswer: a*(a - 1)**3*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 18. Let w = -13 - k. Let c(v) = -v**3 - 12*v**2 - 12*v + 5. What is the tens digit of c(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1202001?\nAnswer: -1202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z + 9902 + 7363. Is (-1)\/(5 + 5756\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.37 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*y**4 - 70 with respect to y.\nAnswer: -164*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + 11 - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3182 and -121\/38442?\nAnswer: 1422354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 3. Let x = -5 - -15. Let i be 6\/x - 165\/25. What is the units digit of r(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*m + 16, 4 + 4 = -4*m. Let y*j - 6*j**2 - 4*j - 2*j**3 - 2*j = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/4)*b))**(-19\/3) assuming b is positive.\nAnswer: b**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 1*sqrt(17))*-4 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 78, 65, 34, -21, -106, -227?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1801.486962 and -0.76?\nAnswer: 1802.246962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 992728.5 micrograms in milligrams?\nAnswer: 992.7285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 32, 108, 248, 470, 792?\n\"Answer: 3*y**3 + 5*y**2 - 6*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 3, -3\/5, 12\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 2*a**3 + 0*a**2)*(-8 + 12 - a - 2*a).\nAnswer: 6*a**4 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g. Let o(j) = 5844*j**2. Give q(o(y)).\nAnswer: 17532*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17d4 (base 16) to base 15\nAnswer: 1c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + 70\/6 + 76\/57 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14\/19 (b) -1 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/5)*m**(1\/17)*m assuming m is positive.\nAnswer: m**(56\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**3*i\/(i\/((i*(i**6*i)\/i)\/i))*i)\/((i**(-7)\/i*i)\/(i\/(i\/i**(-4)*i)*i)))**(3\/7))**46 assuming i is positive.\nAnswer: i**(1794\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140971 = 2645*m - 44179 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, j: 3, o: 8}. Give prob of sequence jccc.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3 + 27. Let i(t) = t**2 + t. Let h(u) = 8*u**4 - 6*u**3 - 2*u**2 - 3*u. Let r(n) = g*i(n) - 2*h(n). Let r(m) = 0. Calculate m.\nAnswer: 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 greater than -27.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 286, 287, 290, 295, 302, 311, 322?\n\"Answer: x**2 - 2*x + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 36 + -5 + -24.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*n + 2. Let z be (n\/(-4))\/((-3)\/6). Let f(o) = 3*o. Determine f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 496753661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 n when three letters picked without replacement from {o: 1, n: 1, v: 3, r: 3, x: 1, c: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*h - 10, 10 = -4*l + 5*h - 15. Suppose -3*q - 93 = -l*q. What is the common denominator of -21\/11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53, -49, -45, -41, -37?\n\"Answer: 4*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**3 + 11*a - 11*a + 13*a**4 - 9*a**2 - 14*a**4.\nAnswer: -a**2*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13916933189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 3*h - 1. Let a(j) = 99*j**2 + 32*j + 4. Let x(q) = a(q) + 3*c(q). Find the second derivative of x(v) wrt v.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 - 4148403*z**2\/5 + 430231808520*z - 645345846000.\nAnswer: (z - 1037100)**2*(2*z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 2:10 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-86)\/10 - 8\/20. Let q = w - -19. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 6*b + 4. Let y(v) = v**2 - 11*v + 7. Let o(f) = 5*d(f) - 3*y(f). What is the units digit of o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(256) + -3*sqrt(256))*1)\/((sqrt(2) - sqrt(96)\/sqrt(3)) + (sqrt(98) - (sqrt(98) + (sqrt(98)*2 - sqrt(98))))).\nAnswer: 48*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 347*q**7\/210 + q**6\/60 + q**5\/30 + 2273*q**4\/12 + 2047*q**2. What is the second derivative of a(r) wrt r?\nAnswer: 4164*r**2 + 12*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 112?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j. Let y(s) = 2636*s**2. Determine y(h(m)).\nAnswer: 65900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**5\/19 + 85826*r**4\/19 + 128728*r**3\/19 - 42916*r**2\/19 - 128732*r\/19 - 42910\/19 = 0?\nAnswer: -21455, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/24 - 5*l**3\/6 - l**2. Let b be m(-10). Suppose 32 = w + 3*w. Solve -w = b*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 2*j**2. Let g(i) = 2*i**3 - 3*i**2 - i. Calculate 2*g(s) - 3*r(s).\nAnswer: s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 5*c = 2*a + 3, a + 5*c + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d - 14. Let g = 16 - 33. Let a(s) be the second derivative of 5*s**3\/6 + 5*s**2\/2 + s. Let y = 203 - 209. What is g*a(o) + y*r(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.9 times -4?\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2 (c) 20 (d) -15 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 - 14*n**4 - 34*n - 1 wrt n?\nAnswer: -40*n**3 - 168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/19)\/p*p**4)**(3\/28) assuming p is positive.\nAnswer: p**(165\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-6)*(-4)\/(-6). Let w(l) = l - 2. Let m(x) = -x + 1. Give z*m(b) - 2*w(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + 1 + 0. Let x = -2.55 - -5.26. Let i = 1.71 - x. What is the smallest value in 6, 4, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**2\/2 + 8*o + 14. Suppose 0 = 2*v + 15 - 1. What is the units digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14090*d**6 - 11*d**2 + 1411*d.\nAnswer: -1690800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*q + 62 = 0, -4*y + 4*q - 6*q = 124. Let o = -61\/2 - y. Which is the nearest to -2\/5? (a) 2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12601034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98212, 196428, 294644, 392860?\nAnswer: 491076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71807693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 264, 482, 672, 840, 992, 1134, 1272?\n\"Answer: a**3 - 20*a**2 + 271*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/5)*(o**(-2\/15)*o)\/o)\/((o\/o**(-10))\/((o**(-5)*o)\/o)))**2)**(-2\/15) assuming o is positive.\nAnswer: o**(956\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*((-3 + 4 - 2)*(-2 + 5 - 2) - 5 - 1 + 4 + (1 + 0 - 2)*(0 + 0 + 2))*((-1 - 3 + 2)*(-3 + 2*j + 3) + 0*j + j + 0*j + 6*j + 8*j + 7*j).\nAnswer: 180*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 3*a + 2. Let k be g(2). Suppose k = -4*p + 6*p. What is p rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z)*(0 + 2 + 2)*(z + 1 - 1).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*z**6 - 78*z**5 - 25*z**2 + 4*z - 1.\nAnswer: -44280*z**3 - 4680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 11*c**2 + 11*c + 11. Let w(z) = 2*z**2 - 2*z - 2. Let y be 408\/108 + (-4)\/(-18). Suppose 18 = y*s + 26. Determine s*d(f) - 11*w(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + -1)) + -4 + sqrt(99) + (-2*sqrt(99)*-5 - sqrt(99) - sqrt(99) - sqrt(99)) + 2)**2 - -4*-1*sqrt(99)*3*-1.\nAnswer: -12*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/22*(-4)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/5 + 26472*z**2\/5 + 4*z\/5 - 105888\/5 = 0. Calculate z.\nAnswer: -2, 2, 26472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -6. Let g be (-16)\/(-6) + k\/3. Factor 2\/3*a**3 + 2\/3*a**2 - 2\/3*a - g.\nAnswer: 2*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21566216093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/60 - 5*i**4\/24 + 2*i**3\/3 + 7*i**2. Calculate the least common multiple of k(5) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 5*t + 21, u - 182*t + 6 = -183*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 + (-7 - -21) + (2 - -3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (-2)\/4 - 45\/(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-10)*3\/(315\/30)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, a: 1, n: 2, f: 1, j: 2, z: 2}. Give prob of picking 1 o, 1 j, and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let k be d(2). Let u = 2 - 5. Let i = u + 3. What is the closest to i in k, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 2*y**6\/3 - 3*y**4 - 8*y**3\/3 - 17. Factor p(h).\nAnswer: 4*h**2*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 + 15 - 5*o**3 - 16 - 18*o - 11*o**2. Let c be i(-9). Let y(r) be the first derivative of 5*r**4\/2 - r**2\/2 - r + 1. Calculate y(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 403\/91 - (1 + 3). Put j, 3\/2, 3 in increasing order.\nAnswer: j, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1172568 to the nearest 10000.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1053) + (-5 + sqrt(1053) + -1)**2 - 2*(sqrt(1053) - (-2*sqrt(1053))**2)).\nAnswer: -9513 + 117*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144524, -295004, -445486, -595970, -746456, -896944, -1047434?\n\"Answer: -y**2 - 150477*y + 5954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 162*d**2 - d**3 - 3*d - 3*d**3 - 2 - 163*d**2. Let a be w(-1). Solve 2*k = -2*k - a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/6 - 3)*(-2 + -10)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/24 and -103\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 24. Suppose u - 24 = -2*o + 4, 2*u = o + 36. Let z(k) = -y*k + 2*k**2 + u*k. Let h(m) = 2*m. Give z(h(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 15. Let g(t) = -t - 8. Let x be g(0). Let j be d(x). Let i(y) = j + y**2 - 2*y - 6*y - 1. What is i(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 3)\/(((-96)\/18)\/8). Let w be 2\/(20\/150*i). Let q(v) = v**3 - 6*v**2 + 4*v - 5. Determine q(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -980604*t**2. Let v(p) = 15*p**2. Determine s(v(d)).\nAnswer: -220635900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 6, 0.2, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/7 (c) 1\/7 (d) -3\/17 (e) -17 (f) 0 (g) -27\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**14)\/c**3*(c**(-5)\/c*c)\/c**(3\/10) assuming c is positive.\nAnswer: c**(-203\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20318 - 30753*i**3 + 20318.\nAnswer: -30753*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 17824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -216608 divided by 967?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21*(11 + 91) - -1. Which is smaller: -27 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*i - 24*i - 30*i)*(3 - 3 + 4*i + (4 + 0 - 5)*(-4*i + 2*i + 3*i) + 2*i + 5 - 5).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10680.5 + -10681. What is the nearest to 4 in n, 0.09, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - 0.2. Let v = -2 - l. Let o = v + 0.9999954. Round o to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/7)*k\/k**5)\/(k**6\/k*k*k**1) assuming k is positive.\nAnswer: k**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)*n*n**(-4)*(n**(-1))**44 assuming n is positive.\nAnswer: n**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1711 - 1721. Put 1, -1, -2, v in descending order.\nAnswer: 1, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -707435?\nAnswer: -707434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 75 = -14*o. Let w be 6\/(-15) + -242*(-80)\/o. Round w to the nearest ten.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154629 or 463883\/3?\nAnswer: 154629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3900 is divided by 699.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4716.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 8*r + 194 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1058 + 566. Is f not equal to -491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6221 (base 12) to base 13\nAnswer: 4b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8787506?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(292\/(-40) - -7). Find the first derivative of -w*g**4 + 170 + 10*g**4 - 88*g**4 - 35*g**4 - 35 wrt g.\nAnswer: -612*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 6. Let y(d) = 2*d - 386. Determine -2*u(w) - 2*y(w).\nAnswer: -2*w + 760","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22749 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -597855 divided by 225\nAnswer: -39857\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**4 - 2*p**4 + p**4 + (0*p**2 + 4*p**2 - 3*p**2)*(444*p**2 + 178*p**2 + 55*p**2).\nAnswer: 682*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2131067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48, 430, 1460, 3462, 6760, 11678?\n\"Answer: 54*k**3 + 4*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f - 4 = -27*f. Let p be 0 + (-2107)\/(-19) + f\/38. Put 5, 2, p in ascending order.\nAnswer: 2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*((-2 + 6 - 2)*(-2*q + 1 - 1) + 5*q - 3*q - 3*q) + (1 + 3 - 3)*(4*q - 2*q - 3*q) to b*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/9 - -31\/9. Let z = 2 - l. Which is the third biggest value? (a) z (b) -1\/5 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**3 + 2*g**2 + 8*g + 8. Let j(c) = 4*c**3 + c**2 + 5*c + 5. Let p = -20 + 11. Let r = 13 + -9. Let k = r + p. Calculate k*f(x) + 8*j(x).\nAnswer: 2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/i)\/i*i*i\/(i*i\/(i\/(i*i\/(i**(-5)\/i)))))\/(i**0\/(i**(-3)\/i))*(i**1)**(3\/8)\/(i**(-4)\/(i**4\/i)) assuming i is positive.\nAnswer: i**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 - 2*s - 3. Suppose -131 = -z - 3*b, -218 = 4*z + b - 709. Calculate the remainder when z is divided by y(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*d - 220 + 82 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 467128.\nAnswer: 5\/233564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = 2*l. Let y(s) = s**2 + 7*s - 3. Let v be y(l). List the prime factors of (v + 0)*6\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 2*d + 17*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -54. What is the third smallest value in 3\/2, -1, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - h + 167 - 2*h - 499 + 169 + 163.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2255 and 89\/140712.\nAnswer: 703560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 k, and 1 i when three letters picked without replacement from cvvkdcvkvivckdd.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwfwbgffwyfff. Give prob of sequence yw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 2062*m + 1062961 = 0. What is m?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnlllnllllnllllnln. What is prob of picking 2 l?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0 + 0)*(2 - 2 - k) + 1 - 85*k**2 + 5164*k - 5161*k + 14*k**2.\nAnswer: -72*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 161286311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*x*y + 4*x - 2*y - 555 wrt x?\nAnswer: -68*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106.3543ml to litres.\nAnswer: 0.1063543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 926.7644 nanograms in milligrams?\nAnswer: 0.0009267644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*t**4 - 120.\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63679 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9292, -9294, -9296, -9298, -9300, -9302?\n\"Answer: -2*h - 9290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-525)*((-7744)\/(-64) + -114)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 53, 21, -23?\n\"Answer: -6*i**2 - 2*i + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1963560167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115618951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87\/4 + -21. Let k = 0 - -0.1. Put k, r, 2 in increasing order.\nAnswer: k, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 207, 225, 155, -3?\n\"Answer: -44*a**2 + 150*a + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s + 112*s + 4*s + (0 - 3 + 2)*(2*s + 4*s - 4*s) + 0*s - 4*s + 3*s + (-s + 1 - 1)*(2 - 4 - 3).\nAnswer: 112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Suppose 0 = -4*z + a*z - 17. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = 21. Suppose 3*l + l + 4779 = n*u, l = -u + 954. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 3.1.\nAnswer: -5.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -762 - -1037. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -38*t + 11*t. Find the common denominator of 31\/100 and 1\/(1260\/627) + (-2)\/t.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 210\/19?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 10*z - 21. Let n be x(-12). Suppose -4*a + 93 = -3*o, 51 = 5*a - 3*a + n*o. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 77922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27.3 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*c - 593 + 3182, 0 = 2*c - 2*o - 1730. 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 pth term of -485, -1882, -4227, -7520, -11761?\n\"Answer: -474*p**2 + 25*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/4 + 5*l**3\/3 + 3*l**2 - 3. Determine p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/h*h\/h**(-9)*(h*h**(12\/7))\/h*h\/(h\/(h\/h**3)*h) assuming h is positive.\nAnswer: h**(201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(4\/(-8) - 0). Suppose -2*q + 2*i - 3 = -1, -q + f*i - 3 = 0. Suppose 4*c + 3773 = 5*d - q*c, 5*d - c = 3782. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**(-1\/43)\/w*w))\/w)\/w**9)\/(w**(2\/13)\/(w**(-6)*w)))**(-41\/4) assuming w is positive.\nAnswer: w**(323859\/2236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = 47*g + 40*g + 405 + 3753 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*u**4*v + 65*u**4 - 2247*u**2*v + u*v + 29745*v + 120 wrt u.\nAnswer: 72*u**2*v + 780*u**2 - 4494*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + b - 17 - 71, 0 = x - 3*b + 12. Let w be ((-8)\/12)\/(4\/x) - 107. Let h = 151 + w. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j + 4*j)*(8 - 6 - 91) + j - 4 + 4.\nAnswer: 90*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Suppose 0 = 326*m - 318*m - 344. Suppose x - 2*v - v = m, -x = t*v - 19. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16930.5 + 16930. Which is the closest to 2? (a) s (b) -3\/22 (c) 2 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3))**(-32) assuming d is positive.\nAnswer: d**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 21*x - 95. Let v be m(-25). Solve 8*f + v = -19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1532 and 416.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(-65)\/(-91)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 687? (a) 5 (b) -5 (c) -17\/37 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2990.6 + -430725256.\nAnswer: -430722265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*b - 2 = b, -8 = 5*u - 4*b. Suppose w = -u*w. Suppose 2*j - 2 = -w*j. Solve 19 + j = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1807, 3\/8, 28.39, 1.1 in decreasing order.\nAnswer: 1807, 28.39, 1.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 98 in 0.24, 4123, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-20) - 11\/15. Let v = -0.17289 - -0.07289. Which is the nearest to -30? (a) 1 (b) -2\/9 (c) q (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -1\/2*d**2 + 0 - d + 5\/6*d**4 - 1\/6*d**3. Suppose 3*i + 3 = -0*i. Calculate g(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8294 divided by -143?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v + 219 + 5*v + 24*v + 15*v to l + j*v and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * 636.\nAnswer: 1017.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 - 2*k**2)*(13*k - 8*k + 6*k) + k**2 + 2 - k**3 + 0 + 0*k**2 + (-9 + 9 + 3*k**2)*(0*k + 2*k - k).\nAnswer: -20*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2898 and 37\/391?\nAnswer: 49266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 18 + 18 - 37*u to the form t*u + l and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -116. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8948888 divided by 52952?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 473 - 0?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 + 257245*n**2 + 514475*n + 257235 = 0. Calculate n.\nAnswer: -51447, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5081?\nAnswer: 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 777 = -7*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.12 (c) -13.55 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33\/2? (a) -3 (b) -5\/3 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2319300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17800, -17798, -17788, -17764, -17720?\nAnswer: -17650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -16, -2, 14, 1\/7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 + 15 = 0. Let z(v) = 10*v - v - k*v. Let p(i) = i**2. Determine p(z(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 405897113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3462 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*s - 86. Let n = 1569 + -1626. Let j = s - n. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 0*b - 3531*b**2 - b - 2.\nAnswer: -3531*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 32*k**2 + 61*k - 24. Determine c(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -7576 - 1824. Solve -5*i + 371 = a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1561 and 56.\nAnswer: 12488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*h = -67*h - 417. What is the first derivative of -49*g + h*g - 6706 + 6680 wrt g?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = 2*w, -4*w = 5*i + 3 - 2. Let j(p) = -88*p**i - 6*p + 90*p**3 + 3*p**2 - p**2 + 10. Is j(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155244570*s + 163846145 wrt s.\nAnswer: 155244570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 13*c**2 - 7*c + 5. Give s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -883 - -293. Let l = p + 590. Solve l = -2*c - 10 + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3 = 3*d, -58 = -d - 5*l - 85 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0 - 6 + 2 + 3 + (2 - 2 - 2)*(-3 + 6 - 4) + 1 + 2 - 2)*(12*j - 1 + 1).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271\/102 - -48\/17. Which is the biggest value? (a) 0.3 (b) 0.19 (c) 1\/2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1785828 and 11454?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 166149*b**3 - 15*b**2 + b + 70014053 with respect to b.\nAnswer: 498447*b**2 - 30*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.118 (b) 4\/3 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -2*p - 5*f, 3*f - 37 = 4*p. Let g(b) = b**2 + 7*b + 2. Let q be g(p). Solve -q*r = -j + 1 + 5, -5*j = 4*r - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 242.\nAnswer: -5\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + 3*h**3 + 11*h**2\/2 - 6*h + 9. Let v be d(10). Determine s so that -6 - 10*s**3 + 1 + 5*s**v + 16*s - 6*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60 (b) -0.3 (c) -3\/8 (d) 1\/2 (e) -0.05 (f) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Suppose -5*o + o - 5*z = -41, 3*z = -f*o + 31. Suppose -o*n - 3*n + 483 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-3 + 0 + 4)*(2*w - 4*w + 0*w)*(-w - 7*w**4 + w).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 + 6*i**2 + 5*i. Suppose 13 = -u + 18. Let h(s) = s**3 - s**2 - s. Let a(z) = u*h(z) + d(z). Determine a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 7) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 (base 8) in base 15?\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1433, 1428, 1423?\n\"Answer: -5*l + 1438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*u - 38862 = 0, -k + 8026 = -4*u - 4911. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -341404 at most -341428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -326?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76727 times 0.5?\nAnswer: -38363.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-30) - 644\/(-345). Which is smaller: t or 33?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61700*j + 3*j**2 - 61677*j - 8*j**2 + 3)*(-5 + 5 - 4) to f*j + g*j**2 + t and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-4*-5)**2.\nAnswer: 39200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Let d(t) be the third derivative of t**4\/24 - t**3\/6 - 7*t**2. Let y be d(q). Solve -10 = -j - j - 2*c, -j - 4 = -y*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**3\/3 - 6*u**2 + 18*u. Let z be m(4). Let h be (8 + -2 - 1) + (z - -3). Solve 0*s + h*s = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/4)\/a)*a*a\/(a\/(a*a**(-5))))\/(a*a**0*a*a*a\/a**(-5))*(a\/a**(-6))\/(a\/((a**4*a)\/a))*(a**(-2\/3))**(11\/3) assuming a is positive.\nAnswer: a**(-97\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -32*m**5 - 3*m**4 - 4*m**2 - 49*m + 3. Let w(i) = -i**5 + i**4 + i**2 + i - 1. Let j(b) = p(b) + 3*w(b). What is the third derivative of j(s) wrt s?\nAnswer: -2100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*(-16)\/36*(-5361)\/1787\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 4*o**2 - o**2 - 2*o**2 + 6. List the prime factors of a(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -5, -0.18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = d + g, 7*d + 4*g - 4 = 11*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21885204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56054325 by -75.\nAnswer: -747391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 52 - 179 + 71 + 56 + 135*b. Let o(q) be the third derivative of q**5\/30 - 2*q**2. Give o(u(f)).\nAnswer: 36450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3864\/9177)\/(1\/(-19)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572278422.\nAnswer: 2, 3, 95379737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**3 - 29*t**2 + 8*t**2 + 21*t**2.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 70. Let h(c) = 14. Determine 2*f(r) - 11*h(r).\nAnswer: 2*r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/10 and 228\/(-9)*15\/48.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143343 (base 5) in base 3?\nAnswer: -22100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -25, -53, -81, -103?\n\"Answer: x**3 - 9*x**2 - 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:22 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 313\/624 - 5\/78. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 2, r: 1, d: 7, e: 2, o: 2}. Give prob of sequence dre.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2759\/8 + 345. Are w and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11329968 at most as big as 11329981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*i*u*v**2 - 82*i*v**2 - 296*u*v + 3*v**2 + 1 wrt i?\nAnswer: -8*u*v**2 - 82*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + -3*(-4)\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -20112222?\nAnswer: 20120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1.4801, -0.3, 34, -2, 4 in descending order.\nAnswer: 34, 4, 2\/3, -0.3, -1.4801, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 9*h**2 + 9*h + 65. What is the smallest common multiple of 105 and c(-10)?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76088.29l to millilitres.\nAnswer: 76088290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1624 < -1615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 1 + 6 = w, -3*x = 4*w - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75692*j - 75692*j + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let m(c) = 14*c**2 - 356*c. Calculate s(m(l)).\nAnswer: 28*l**2 - 712*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**3 + 3*m**2 + m + 4. Let w(b) = 5*b**3 + 3*b**2 + 5. Let h(k) = -5*w(k) + 6*y(k). Let a be h(4). Let u = 12 - a. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -71, -97, -117, -131, -139, -141?\n\"Answer: 3*u**2 - 41*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*g**3*j**4 - 138*g**3*j - g**3 wrt j?\nAnswer: 384*g**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 806.9 and -1.4178263.\nAnswer: 805.4821737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184236 (base 10) to base 8.\nAnswer: -547654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -0*y + 10*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 122792*u - 3. Let f be x(-3). Suppose -5*i - 404489 = 403616. Let d = i + f. What is d rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3047\/2, -4, -7.51, -6\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 x when four letters picked without replacement from gwgwwwggxxwg.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5743*m**2 - 175*m**3 + 5789*m**2 - 3*m + 3*m.\nAnswer: -175*m**3 + 46*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + l)*(0*l + 2*l - 4*l) + 22059302*l - 22059302*l - 304*l**2 as k + b*l**2 + z*l and give b.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465324 (base 9) to base 11.\nAnswer: 180a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*k**4 - 118*k**2 + 38190*k wrt k.\nAnswer: -360*k**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/720 + 11*a**5\/120 + a**4\/6 + 2*a**2. Let n(m) be the second derivative of c(m). Calculate n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*30\/72)\/((-2616)\/(-90) - 29)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36+-0.005116\nAnswer: -36.005116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 692 + -688. Suppose -t + 9 = 2*n, 7*n = v*n - t + 11. Solve -4*z = -n*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746*o - 742*o - 5*w + 53 = 0, 5*o + w + w = 41 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -4, -197, -5, -23.\nAnswer: -197, -23, -7, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5450724 by 187956.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 21569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(-1 + 1 + 2)*(0*q**2 - q**3 + 0*q**2) in the form i*q + k*q**3 + a + m*q**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 239831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (1 - 1)) + 0. Suppose 6*h - j*h + 56 = 0. What are the prime factors of (h\/4 + 0)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*p + 1060 = -3*p, 0 = -5*p. What is the remainder when q is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080251752 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2431 + -4447?\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 389 (base 10) to base 3\nAnswer: 112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1137 + 709. What are the prime factors of w?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*k + 18, 3*c + k - 30 = 5*k. Suppose -c*n = n - 2*n. Solve n = -u + 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:19 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 100 + 44?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061283752?\nAnswer: 2, 3, 11, 83, 31357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3307 + -3307.4. Let g = 295 - 211. Let h be 36\/g*4\/(-3). What is the closest to 0 in q, h, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/24 + 15\/(-132)*6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*i*z - 1562*b**2*z**2 - 14*b*i*z + 3*b*i + 2*b*z**2 - 2*z**2 - 48*z wrt b?\nAnswer: -2*i*z - 3124*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 6*l**2 - l + 6. Let q be u(6). Suppose -v + z - 4*z + 1867 = q, -5*v - z + 9335 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 4) to base 11.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 404\/5*(1 - -4). Suppose 4*b - u = -0*b - 3*t, -212 = -2*b + t. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - z)*(98*z + 96*z - 720 + 48 - 914 - 193*z) as n*z + u + v*z**2 and give n.\nAnswer: 1586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-636)\/(-54) + (-2)\/(-9). Suppose g + h = 5*g. What is a in 1\/3 + 2*a**2 + 4\/3*a + 1\/3*a**4 + 4\/3*a**g = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3*(2 + (-9)\/3)). Suppose n = 3*v - 2*v + c - 2, -4*c + 32 = -4*v. Sort 1, v, 5, 11 in descending order.\nAnswer: 11, 5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-6))\/((-8)\/16). Let g(n) be the first derivative of 0*n - 1 - m*n**3 - 3\/4*n**4 + 13\/20*n**5 + 0*n**2 + 7\/8*n**6. Determine k, given that g(k) = 0.\nAnswer: -1, -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2002 + -2002. Is 30\/37 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1681?\nAnswer: 5\/1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216900 is divided by 6338.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*p**2 - p**2 - 3*p**2)*(2*p - 1 + 1) - 4 + 2*p**3 + 4 - p - 2*p**3 + p)*(-592 + 592 + 45*p).\nAnswer: 90*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3817, 3 in descending order.\nAnswer: 3817, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*j - 27, 0*j - 3 = 4*j + 3*t. Let o(b) be the second derivative of b**4\/12 + b**2 + b. Calculate the remainder when o(j) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = 7. Let s = -1 - m. What is the first derivative of 0 - 2*c**s + 1 + 1 wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/32*-6)\/(6\/(-32)). Which is the fourth smallest value? (a) x (b) 3 (c) 1\/2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25325212 + -121?\nAnswer: 25325051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**(20\/11))**(1\/19) assuming k is positive.\nAnswer: k**(-40\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-140)\/(-24) + -3)\/(14\/84). What is the highest common divisor of 1037 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126374, 253676, 380978?\n\"Answer: 127302*c - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 7 = -8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 134. Let t be ((-2)\/(-6))\/(5\/u). Suppose 4*x - 587 = t*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 35*v + 13. Give x(-16).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 3*v + 4. Let i be q(-3). Let c(k) = -2*k**2 + 4*k. Let n be c(4). Let g be n\/(-6) + (-2)\/(-6). Is g < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32521 - -2?\nAnswer: 32523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 1. Suppose -11*f + 27*f + 32 = 0. What is n(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557476747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471885.2 millimeters to micrometers.\nAnswer: 471885200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -126018.8 rounded to the nearest one thousand?\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 25*p + 21. Calculate f(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*6\/16 - 21\/28. Let s(r) = -2*r**2 + 2*r - 4. Let v(j) = 3*j**2 - 4*j + 9. Let u(k) = n*v(k) - 5*s(k). Determine u(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/10*6\/(-3))\/(2961\/(-9870)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879303 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: Let g(y) = y**2 + 15*y - 26. Let f be g(4). Let j be -46 + 2*-1 - -2. Let z = j + f. Solve 4 = z*q + 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4\/19 - 34*m**3\/19 + 46*m**2\/19 + 202*m\/19 + 120\/19 = 0?\nAnswer: -1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*i + 6 = 0, 43*k - 39*k + 22 = 3*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + h + 1. Let o be g(-1). Let d(u) be the first derivative of 0*u**2 + 1 + u**2 - o*u**2. Let l(s) = -2*s**2. Give l(d(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39177 and 238086.\nAnswer: 345462786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0023 times -1.1\nAnswer: -0.00253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 11*i**5\/60 + 13*i**3\/3 - 24*i**2. Find the first derivative of q(w) wrt w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let u be 5*(-4)\/60*-9. Let a(o) = u*o - 63 + 70 + 5*o. Determine a(i(f)).\nAnswer: -16*f + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 42*p**2 + 132*p + 136. Give d(45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most -66\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/540 - j**5\/54 + 2*j**4\/27 - 4*j**3\/27 + 10*j**2. Factor f(r).\nAnswer: 2*(r - 2)**2*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/2 - 32639*y\/2 + 16320 = 0. Calculate y.\nAnswer: -32640, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - h**2 - 3*h + 9. What is the remainder when x(-3) is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-27)*358 + (-1710)\/(-1026).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a + 1866. Give y(-301).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22.6 times 0.053207\nAnswer: -1.2024782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636762?\nAnswer: 2, 3, 71, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -65*k**3 - 1817*k**2 + 87*k + 105. Give n(-28).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 6 = 2*p. Suppose -3*r - p = -7*r. Suppose 54 = 6*n - r*n. Calculate the remainder when 80 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -4, -2, 78.\nAnswer: -4, -3, -2, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2392541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -21. Suppose 1 + 2 = q. Which is the closest to q? (a) i (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 209\/(-19) - (25\/69)\/(303\/(-9090))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Let u = 2 + a. Solve 4*v = -6 - u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13462146 divided by 1.\nAnswer: -13462146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*f + 55492, 170*c - 173*c + 41640 = -4*f. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 + 10*o + 118. Calculate v(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 581074799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226267 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/8 + 3)*(-7154260)\/(-30). Is (-4)\/30 + q\/285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:57 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 0*c - c)*(-29*c + 79*c - 5 - 35*c) to y*c + n*c**2 + t and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.5 + -14.500063. Round q to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p**2 + 16*p - 3. Calculate k(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, 0, 1\/2, -25 in descending order.\nAnswer: 1\/2, 0, -0.43, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 20. Let n be m(-8). Suppose -8 = n*y - 5*j, y + 2*j - 6 = 5. Suppose 2*x - 5*r - 51 = 0, x - y*r = -x + 41. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20330409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1864798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 16. Let k be n(7). Which is the nearest to k? (a) -6\/7 (b) -2\/7 (c) 0.01 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 537 + -387. List the prime factors of 1204\/3*225\/b.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - n - 2. Let p be (6\/(-9)*2)\/(56\/84). Let d(q) be the third derivative of q**5\/30 + q**3\/2 + q**2. Give p*d(c) - 3*f(c).\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41937 <= 1892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(1\/(-1)) + -2. Let i = 22 - 22. What is the nearest to i in -1\/2, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15505*v - 1680*v + v**3 + 28249*v.\nAnswer: v**3 + 42074*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b**2 - b - 3. Let i be a(3). Suppose 2*t - 4*u = -3*t + i, 2*t - 5*u - 48 = 0. Let v = -13 + t. What is the greatest common factor of 99 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 751237, 751238, 751241, 751246, 751253, 751262, 751273?\n\"Answer: q**2 - 2*q + 751238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*z + 0*z - 5*z)*(3*z - 5*z + z)*(-4 + 2 + 0) - 3*z**2 + 0*z + 0*z)*(-4*z + 4*z + 5*z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 19*i + 29. What is n(14)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 97. Which is the closest to 0.2? (a) 0 (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -20*n**3 - 6*n**2 + 51*n - 1. Let p(a) = 6*a**3 + 2*a**2 - 17*a. Calculate 2*i(j) + 7*p(j).\nAnswer: 2*j**3 + 2*j**2 - 17*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 15*k + 9. Let g(z) = 11*z**2 + 44*z + 26. Let n(t) = 8*f(t) - 3*g(t). Determine n(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 2352.\nAnswer: 1\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.28 - 26. Let u = p - 0.27848. Round u to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -639 and -73088?\nAnswer: 46703232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/13 + 164\/52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 257722403 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/8)\/(x**(10\/11)\/x) assuming x is positive.\nAnswer: x**(-47\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 16*d**2 - 14*d - 13. Let s be j(15). Let c(t) = 0*t**3 + 3 + t**3 - 2 - 7 + 6*t**s. Calculate c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y + 10. Let a(j) = 10*j**3 + 2*j**2 + 3*j + 45. Let i(z) = -a(z) + 5*m(z). Let h(o) = -o**3 + o + 1. What is -3*h(d) + i(d)?\nAnswer: -2*d**3 - 2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7898392 + 7898392 - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*v)*(-4*v**2 + 4*v**2 - 2*v**2) - 72*v**3 + 18*v**3 - 2*v + v + 2*v**2.\nAnswer: -58*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - (11 - -30 - 6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -222\/11, -4\/7, -0.77?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 158983, -3 in increasing order.\nAnswer: -3, -2, 158983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 901308503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c + 249. List the prime factors of r(-18).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 203780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5083 (base 11) to base 4.\nAnswer: 1221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*g - 113817 + 113817.\nAnswer: 85*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) + 48\/21. Let l(s) = 9*s**3 + 2*s**2 - 1. Is l(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2. Let w(b) = 992657*b. What is w(q(g))?\nAnswer: -5955942*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 39120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.09, 0, -199 in descending order.\nAnswer: 0, -0.09, -1\/2, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1010 + 1164. Calculate the highest common divisor of t and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9 + (-7)\/(-3). Solve 0 = j - h*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 46*d**3 + 11*d**2 + 6*d - 48. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-7620)\/1778.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 160*q**3 + 2*q**2 - 9*q + 7. What is t(2)?\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from uuuvuuvss?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*n + 259 = 421*n. Let z = -35 + n. Solve 2\/3*c + 0 - 1\/3*c**z = 0 for c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 + 5 - (-2)\/(2 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 29 + 9, -2*s - 25 = -5*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 102437 = 3*z, -5*q = 4*z + 73964 - 202009. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -201, -274, -347, -420, -493?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 4500\/(-8))*8\/(-6). Is k less than or equal to 3732\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1)*6\/9. Suppose 48 = 2*w + 2*w. What is the units digit of w*1*a\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12000?\nAnswer: -11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93a4 (base 11) in base 9?\nAnswer: 18070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 19. Let w be -5 - (5 + (-155)\/5) - 5. Suppose g = -w*g. What is t(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77552 is divided by 77536.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 2. Let a(v) = 15*v + 11. Let r(l) = 23*l + 16. Let f(u) = 8*a(u) - 5*r(u). Let z = 4 - 8. Let t = -6 - z. What is t*f(b) - 9*y(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 852*p - 3585. Let k(m) = 4*m - 8. Let h(z) = d(z) + 4*k(z). Differentiate h(l) with respect to l.\nAnswer: 868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(176) + 1) + sqrt(176) + 0 + (sqrt(99)*-3 - (sqrt(11) + -2 + sqrt(11) + -5)) + 4).\nAnswer: -18 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 134*z**2 + 2*z + 2. What is the units digit of i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -15. Let u be (8\/(-3))\/4*9. Let n(h) be the second derivative of -h**3\/3 + 7*h**2\/2 + 2*h. Let o(k) = -k + 4. Give q*o(y) + u*n(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 156954334 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (71\/5)\/((-6)\/(-345)). Let z = j - 843. Let n = -26 - z. What is the third biggest value in -3\/5, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2130 - -4) + (-5 - 0)*-1?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 1 = -0*h - 3*u - 24, -30 = -6*h - 5*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12)*(-30)\/3\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580759 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -3) + 3)\/((-2)\/(-2)). Solve 0*h = -2*h + 2*w + 6, -j*w - 10 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 501 + -22531\/45. Let s = a + -101\/18. Find the common denominator of -18 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203632 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31017)\/(-3798))\/(98\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1 = 4*f, 8*f + 13 = 5*v + 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321 - -591. Calculate the common denominator of 51\/10 and (-978)\/z*(-6)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161130 and 4455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 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: Simplify 2*((sqrt(112)\/(sqrt(28)\/sqrt(7)))\/sqrt(4) + 0).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 1 - (-23 - -23).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-192)\/(-14) + (-4)\/(-14). Suppose -3*s - 5*z = -i, -2*z + 4*z = -4*s + 42. Solve 5*h = 3*a - s, -2*a - 14 = 3*h + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 3*q + 2. Let f(r) = -3*r**2 + 5*r + 3. Suppose 0 = -g + 4*n + 3, -7*n + 3*n + 12 = 4*g. Give g*f(j) - 5*x(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a = 44*a + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-10 - -34))\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 397.8 and 203.\nAnswer: 80753.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = h - 5*h - 57, -3*x = 2*h + 836 - 795 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 2, r: 6, c: 5, d: 1, y: 2}. Give prob of sequence cs.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlh. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 31*m + 209. Let y be p(-21). Sort -5, 1, y, 5 in decreasing order.\nAnswer: 5, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 348*r + 4874. Let f be h(-14). Solve 14 = u - 3*n, 0 = f*u + 89*n - 88*n + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*d - 45 = 0, 25 = 2*s - 0*s + d. Let x(u) = 2 - 3 - 2*u - s*u**3 + 2*u**3. Calculate the lowest common multiple of 8 and x(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28320 and 304440?\nAnswer: 1217760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4812517 to the power of 1\/2, to the nearest integer?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87929, 351635, 791141, 1406447, 2197553, 3164459?\nAnswer: 4307165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -975 + 997.63. Round t to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2289793 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6418524, -12837047, -19255570, -25674093, -32092616, -38511139?\n\"Answer: -6418523*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5223 is divided by 577.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1731 - -6814411.\nAnswer: 6814412.1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/3)\/4*(-6)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n - 2. Let c(m) = -7*m - 2. Let r = -30637 + 30635. Calculate r*i(q) + 3*c(q).\nAnswer: -5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2818931789 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4218163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w - 2*o + 10, 4*o = 2*w + 2. Which is the nearest to -1? (a) 3 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/9 - 5*d**3\/9 - 8*d**2\/9 - 4*d\/9.\nAnswer: -d*(d + 1)*(d + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 + -185. Suppose -x + p*x - 5*x = 0. Solve -s = -x*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 10 = 8*b, -1221 = 4*n + b - 1218 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -517.1032 - -515. Round v to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13937299 != -13937299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = 8*m, 5*p + 12 = -m. Put 2, p, 0, -11 in descending order.\nAnswer: 2, 0, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 91*o - 6. Let u be a(1). Suppose 9*h = -u + 571. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h**2 + 199*h + 49. Let d(p) = 3*p**2 + 32*p + 8. What is -4*c(m) + 25*d(m)?\nAnswer: -m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -532*l + 2676. Let u be p(5). Let m be (2\/5)\/((-3)\/(-15)). Calculate the highest common factor of u and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 3*h - 1. Let c be -1 + 1*(0 - 2). Let n(a) = 5*a**3 - 8*a - 3. Let p be (-3)\/(9\/(-8))*3. Suppose -3*w = -p - 16. What is c*n(k) + w*x(k)?\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 572 + -572. Suppose -14*y + 4*q + 73490 = -12*y, p = 4*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from ossrrswwrssosscrorr.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9147\/(-42))\/(35\/454) + 2. Let o = i + 2823. Is -1 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6*(-8 + (-125)\/(-10)). Let j = -4 + 2. Let k be 1 + (-2 - -1) - j. Solve k*c - i = -9, -3*c + 2*i - w = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 0*x + 2*x)*(1 - 7 + 3)*(-2*x**2 + x**2 + 2*x**2 + 3*x**2 - 6*x**2 + 4*x**2 + (-3 + 3 + 2*x)*(-2 + 2 - x) + 5*x**2 - 2*x**2 - 4*x**2).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -12*y + 9*y. Let l = y + -5. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 16*k - 222270 = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*a - 495*a + 494 = 0 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27580, -27378, -26828, -25756, -23988?\nAnswer: -21350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4211 - -8423\/2. Let x = -0.28 - -0.3. Let d = 0.04 - 0.44. What is the nearest to r in d, x, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 97.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 8:41 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d + 43*d + 22 = 87*d - c, -11*c = 5*d - 28 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivivjfvjlllgi. Give prob of sequence ijgi.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 30 + ((-16)\/64 - 58\/(-8))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17337 + -1.7.\nAnswer: 17335.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/((y**(1\/4)*y)\/y*y))\/y)**2)**19)**(-2\/61) assuming y is positive.\nAnswer: y**(19\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 + (-152)\/36 + (-28)\/(-126) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951989 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8372651*v*w**2 - 72*w**2 + 1926*w + 15 wrt v.\nAnswer: -8372651*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r + 47 - 130 + 1300 + 13*r.\nAnswer: -r + 1217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -120?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) 2\/21 (c) -1\/2 (d) -2 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279993 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/15580760 and 83\/8664.\nAnswer: 46742280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:08 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1 + 1)*2 + sqrt(44)\/(sqrt(64)*1)*-1)**2.\nAnswer: -25*sqrt(11) + 6939\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 806 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2 - 4*k**2 - 8*k**2 - 9*k - 11 + 15*k**2. Let j(r) = 2*r**2 + 3*r + 4. Give -4*f(b) - 11*j(b).\nAnswer: -2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoooooooooeooo. Give prob of sequence eq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6.3. Sort n, -1\/7, -1\/6.\nAnswer: n, -1\/6, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 1. Give j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2176 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173041 is divided by 324?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12840*a**3 + 5*a**2 + 54255*a**3 - 5*a**2.\nAnswer: 41415*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - f8?\nAnswer: -fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 119 + -25 + 23 + -7 + -3 + -1 + 2\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 60 = -4*z. Suppose m - z = 16. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22 = -3*p, p = -5*f - 1 + 23. Let o be 5*6\/15*(1 - 0). Find the third derivative of o*i**5 + 10*i**6 + 6*i**2 - 2*i**5 - 9*i**p wrt i.\nAnswer: 1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1331508 divided by -17.\nAnswer: 78324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by 5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 a factor of 274179394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3 + a**2 + 4*a**2 - 1 - 2*a + 1. Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/28)\/(1401\/9807)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - p**4 - 3*p**4 + 2*p**4 - 3*p**4 + 9*p**4 + p**3 + p**4 - p**3 + (-2*p**3 + 2*p - 2*p)*(3 - 2*p - 3).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/sqrt(1100) - (sqrt(51) + sqrt(510)\/sqrt(160))\/sqrt(3).\nAnswer: -23*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 - 10. Let d(v) = -v**2 + 1. Let j(q) = -10*d(q) - l(q). Let i(g) = g. What is i(j(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20729*w**2 + 5756*w + 1362412841 wrt w?\nAnswer: -41458*w + 5756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003033348 to seven decimal places.\nAnswer: 0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 129064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -1)\/((-60)\/(-10)). Let o = 0.5 - -2.5. Let g = o + -2.9. What is the nearest to g in -3, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 134*g**2 - 16 - 126*g**2 + 273*g**2 + 3 in the form d + y*g + c*g**2 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562950 is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s - 58. Let d be f(-7). Suppose -3*k = g - 0*g - 18, 0 = k - 4*g + 7. Let w be 63\/k - (-4)\/10. Solve 2*x - 22 = d*u, u = -2*u + x - w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -657389.09 to the nearest 100.\nAnswer: -657400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwmmwww. Give prob of sequence mw.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22)*6)\/(sqrt(200) + sqrt(200) + 2*sqrt(200)).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 2\/9 (c) 2\/7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + b - 252. Let i(q) = 91*q**2. Give d(i(t)).\nAnswer: -16562*t**4 + 91*t**2 - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Let n(h) be the third derivative of 13*h**5\/60 - 23*h**2. Give n(r(v)).\nAnswer: 52*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 23*i**3 - 20*i**2 - 11*i - 2. Let s(d) = -8*d**3 + 7*d**2 + 4*d + 1. What is 6*a(x) + 17*s(x)?\nAnswer: 2*x**3 - x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/13 - 14796*j\/13 + 1138 = 0.\nAnswer: 1, 7397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5507 is divided by 619.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 + 7*x**4 - 8*x + 4.\nAnswer: 40*x**3 + 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 765 = -4*i, -i + a = 4*a - 189. Let p = i - 173. Which is smaller: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 + 164. Suppose 0 = -5*x + 3*p + 85, -8*x + 7*x - 4*p = -f. Solve 2*o - 2*c - 14 = 0, 2*o - 3*c - x = -0*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -2 + (6 - 13). Let c be (f\/12)\/(-1)*3. Let m(u) = 10 + c*u**2 - 10. Let x(w) = 11*w. Calculate x(m(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 8*w + 12*w + 8*w + 2*w**2 - 11*w.\nAnswer: 2*w**2 + 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 452 and 102505916.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22585, 85546, 256457, 589294, 1138033, 1956650?\nAnswer: 3099121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3963 - -4531. What is the highest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = 0. Suppose 3*s + 11 + 4 = n. Sort 4, s, 3.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciiiiiyiicicfctci. What is prob of sequence yfit?\nAnswer: 3\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 161, 249, 425, 719, 1161?\nAnswer: 1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - h - 2, 3 = u - 2*h. Let a(g) = -g**3 + 5*g**2 - 3*g - 2. Let t be a(4). Let p = t - -3. Solve -32 = p*s - u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1608 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 u, and 1 o when four letters picked without replacement from oaeesesouueussse?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 + -272. Let n(h) = 37 - 35 - 4*h**2 + 2*h + 0*h. Let t(l) = -8*l**2 + 5*l + 5. Let d(o) = k*t(o) + 5*n(o). Let q(g) = 7*g. Determine d(q(a)).\nAnswer: -196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*u - 54*u + 47610. What is u rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -9, 4, 444, 1\/2, -0.3, -0.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-1050)*-5)\/((-120)\/(-36)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292124762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2322\/15)\/(24\/10 + -2). Let l = 513 - b. What is the greatest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(((-36)\/6)\/(-36)). Suppose -d*i = i - 56. Let t be ((-2)\/(-4))\/(2 - (-102)\/(-52)). Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/40 - y**3\/5 - 3*y**2\/20 + y - 76. Factor v(a).\nAnswer: -(a - 1)*(a + 2)*(a + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1961 is divided by 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48027676\/7 less than or equal to 6861096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 46*i**2 - i + 24. Let w be g(23). What is the remainder when 107 is divided by 13 - (5 + w + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*u + 0*u = 19, -j + 14 = -4*u. Let d be j + -1 + (-16)\/18. What is the nearest to 0 in d, -0.5, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by (-84)\/8*12\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (sqrt(441)*-3 + sqrt(441)) - sqrt(49))\/(sqrt(42)\/(-6*sqrt(6))).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r - 2*r - 6*r**2 - 2*r**3 - 2*r = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2 + 5*q - 16. Let c(l) = l**2 + l - 3. Calculate 11*c(k) - 2*w(k).\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22964420 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5 + 11*u - 4 - u**3 + 2*u**2 - 13 + 18 - 9*u. Determine j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 4. Let a(p) be the second derivative of -p**3\/6 - 9*p**2\/2 - 25*p. Let w(h) = -4*a(h) + 9*z(h). Let k(b) = -3*b**2. Determine w(k(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = -5*s + 12*q, -115*q = -4*s - 116*q - 101 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -737*z - 2307. Determine j(-2).\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2004, -5, 16 in decreasing order.\nAnswer: 2004, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -3598 (b) -3\/7 (c) 1 (d) 223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n. Let x be d(1). Is 309*6\/10 + x\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -2) + 4 - 1080002. What is y rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2\/2)*(-129)\/((-51084)\/88)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*-35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5637*v**3 + 13 - 2827*v**3 - 2821*v**3 - 13.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 32288347406.\nAnswer: 32288347406.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*v = -16 + 4, 24 = -5*d + 3*v. Let t be 7\/((3\/d)\/1). Put -4, 4, t in increasing order.\nAnswer: t, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 + 1376*n**2 - 120442*n + 2833180 = 0 for n.\nAnswer: 49, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 51093600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine halves of a hour?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (2 + 1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 + 709*u**3\/4 - 87043*u**2\/2.\nAnswer: u**2*(u - 193)*(u + 902)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p + w, -4*w = -2*p + 22 - 8. Suppose -n - 2 - p = y, -5*n - y - 3 = 0. Suppose -h + 7 - 5 = n. Solve h*l - 5*g = 12 - 1, -2*g - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)\/c**(4\/19))\/(c**23\/c**(-12\/17)) assuming c is positive.\nAnswer: c**(-70171\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 438748112\/1232 - (3 + (-46)\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from dddaaadddadaaaadad.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097d (base 16) in base 10?\nAnswer: 133501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = -2*w, -w = -3*r. Factor 17*k**3 + w*k**3 - 8*k**2 + 19*k**3 - 16*k**4.\nAnswer: -4*k**2*(k - 2)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = 2*f. Let b(o) = -2*o**2 - o. Let i be b(1). Sort i, f, -2, -4 in decreasing order.\nAnswer: f, -2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/300 and 113\/360?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:07 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4367069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/20*-4*1. Let j = r - 8. Solve -c = -3*c + 2*v + 2, -3*c + 5*v = j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901 + 8*y**2 + 901.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqfqq. Give prob of picking 2 q and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 175*l + 170*l = 5, 5*v - 3*l + 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(125).\nAnswer: -6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.58034351 rounded to 1 dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k**4\/2 + 230163*k**3 - 4548537*k**2\/2 - 2770638*k - 266178 = 0 for k.\nAnswer: -1, -2\/19, 11, 8066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x - 1. Suppose -4*j - 39 = -17*j. Let m be s(j). Solve d + 2*d - 10 = n, m*n = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 145 and 3.71?\nAnswer: 537.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20665*t**3*x**5 - 17*t**3 - 32*t*x**2 - t*x wrt x.\nAnswer: -1239900*t**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**5\/h)\/h)\/(h**31*h*h))\/(h**(-9)\/(h\/((h*h*h**(1\/52))\/h))))**(-6\/11) assuming h is positive.\nAnswer: h**(3279\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -170.8, 2 in ascending order.\nAnswer: -170.8, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5666*s**2*v**3*x**2 + 81*s**2*x**3 - 2900*s*v**3*x**2 + 12*v**3*x**3 + 5*v wrt s.\nAnswer: 11332*v**3*x**2 + 162*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -313*b + 219*b - 1222 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*r + 28 + 14 + 19 - 199*r to w + u*r and give w.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 55438101?\nAnswer: 1\/55438101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/240 and 107\/600?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o - 4. Let v be j(-6). Let r(b) = 8*b**3 - 26*b**2 - 26*b. Let d(q) = -q**3 + 3*q**2 + 3*q. Calculate v*d(a) - 6*r(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/3887 and 44\/169.\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 113 = 3*s, 5*s = 10*s - 4*b + 200. Sort -5, 2, 4, s.\nAnswer: s, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.94 + 0.06. Let h be 5\/7 + -3*10\/(-105). Which is the second smallest value? (a) h (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252798301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*b**2*n*o - 241*b**2*n + 6*b**2*o + 232*b*n*o + 2*b*o - n*o - 9*o + 1 wrt b.\nAnswer: 28*n*o - 482*n + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 80197 * 0.2\nAnswer: 16039.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8dad33e - 0?\nAnswer: -8dad33e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.013 + 1.987. What is the closest to -0.1 in -1\/4, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837200?\nAnswer: 2, 5, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 119 = 4*d - 2*d, -8*d + 313*l + 156 = -4*d + 317*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -448 - -482. Let t(m) = m**3 - 7*m**2 + 9*m - 9. Let q be t(6). Let b = k - q. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1686 + -1688. Put s, -4, 7 in descending order.\nAnswer: 7, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -18. What is the tens digit of 763\/49 - g\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*i**2 - 20*i**2 - 15*i**2.\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17 - 3 - 423*w + 9 - 131. Let b be k(6). What is b rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.30278 + 579.\nAnswer: 471.69722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3 - 9. Suppose -3 + 12 = c*s. Suppose -s*q - 3*h + 25 = -2*q, 2*q + 3*h - 41 = 0. Solve 5*y + 3*j + 12 = 0, 0 = 4*y + j - 5 + q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from fddfii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1057*l + 2. Let y be c(-4). Let b be ((-6753)\/(-32))\/((-61)\/(-1220)). Let r = b - y. Find the common denominator of r and -97\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*(7 - 4 - 136\/34).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 f when four letters picked without replacement from fsfjsjfjsfflfs.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (330\/(-275))\/(4\/(-30)). Solve -3*g + x = -5*b, -4*g - b + 6 + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 43, 5, -4828?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38151\/4 + -9486. Let r = w + -52. What is the nearest to r in 3, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 475456140*i**3*p**3 - 2*i**3*p**2 - 8931119*i**3 + 7*i**2 wrt p.\nAnswer: 2852736840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 0 - 16*x + 22*x - 3 + 19*x**3 - 20*x**3 - 3*x**2. Calculate l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/4 (b) -5 (c) -0.1651\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2404 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 835669441*c + 1098898318 wrt c?\nAnswer: 835669441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*u = -3 + 9, 5*y + u = 7. Let n(l) = 0 - 2*l + y + 3*l. Let v(o) = -1. Give -n(k) - v(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 161044 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -4. What is the remainder when i\/15 + 334\/6 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/60 + m**3\/3 - m**2 + m. Let r(s) be the first derivative of i(s). Calculate r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099274201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - -19. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4408 + 4462. Solve 33 = z + 3*q + x, 3*z = 5*q + 49 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 1643*z - 1647*z - h, -5*z = -4*h - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50066.\nAnswer: 2, 25033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187120287 and -0.4.\nAnswer: -74848114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 4*m - 18 + 0*m - 3*m - 6*m. Let g be h(-12). What is the remainder when 26 is divided by -18*(9\/g)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) - sqrt(66)*2) - ((sqrt(66) - (sqrt(66) + -2*sqrt(66)))*2 + sqrt(66)))\/(-1*sqrt(726) - sqrt(54)*-1).\nAnswer: 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 8. Let d be s(6). Suppose d*j = 3*q - 226, -q = -2*q + 3*j + 87. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**1)\/q)\/(q\/((q\/(q*q**(-2))*q)\/q))*q\/q**(2\/7)*q**(-1\/8) assuming q is positive.\nAnswer: q**(33\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 - 7 = 0. Suppose 6*f = 4*p + f - 7, 5*f - 57 = -4*p. Solve h*s - s = p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 + 76*d**2 - 189*d + 71. What is y(23)?\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y - 5 + 13*y + 3*y**4 + 2*y**4 + y**4 - 2*y**4 + (-2*y**3 + 6*y**3 - 3*y**3)*(-2*y + 1 - 1) to j + o*y**4 + m*y**3 + t*y**2 + p*y and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqqqzqq. Give prob of sequence qqqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3600\/(-375))\/(-16)*(-620)\/6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 22*w**2 + 19*w - 187. Calculate b(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 4*u - 3. Let r be s(-2). Solve 3*x = r - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Let l be (6\/10 + n)*-5. Let r(b) = -b + 5*b**2 + b + 0*b**l. Let y(j) = j. Determine y(r(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 11. Let s = -13 + 3. Let x be u(s). Let h = x - -21. Solve p + h = -4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q - 80. Is 7 a factor of w(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64881697 and 2935?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 37*x + 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1112948 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 740.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 at most as big as 924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:53 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13475 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:52 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -4892 - 2938. Let q be 2\/(-6) - b\/45. Calculate the highest common divisor of 95 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 + a4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 40935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkp when three letters picked without replacement from kppppppppkkpppkkppp?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1472695?\nAnswer: -1472695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**3 + x**2 + 5*x + 4. Give w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 113*j + 86*j - 110*j.\nAnswer: 89*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f - 74. What is y(-15)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + b**2 + b**2 + 0*b + 2*b + b to o + t*b**2 + j*b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127 and 0.0043262?\nAnswer: 0.5494274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5\/4, 20, -253 in descending order.\nAnswer: 20, 5\/4, -2, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -32d50?\nAnswer: 32d4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11340, 11339, 11338, 11337, 11336, 11335?\n\"Answer: -g + 11341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1129 + 2.1129. Let n = -0.4 - -0.9. Which is the smallest value? (a) -0.4 (b) n (c) 9 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92267, 369002, 830195, 1475852, 2305979, 3320582, 4519667?\n\"Answer: g**3 + 92223*g**2 + 59*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37425 + -24839. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (7 - 2)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1.541\nAnswer: -6.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 5, g: 2, w: 3}. What is prob of sequence gvg?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 59244?\nAnswer: 3436152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 11 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*y = 136*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a - 42. Let f be (-69)\/a + (-9)\/3. Put -0.4, 0.1, f in descending order.\nAnswer: f, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-30))\/((-48)\/(-160)). Let h = 28 - 33. Put -2\/19, -0.3, v, h in descending order.\nAnswer: -2\/19, -0.3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -10. Suppose 4*p + 1 = -q. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261418603 - 186291411. Let k = p - 75127178.9999999. Let z = 13 - k. What is z rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5001 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/18)\/((-100)\/(-465349122)). Let j = 775570 - g. Let x = j - -3\/25. Find the common denominator of x and 71\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.1, -1\/6, -1172.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2661110560 rounded to the nearest 100000?\nAnswer: -2661100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85.296 * 20.\nAnswer: -1705.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3052, 5989, 8934, 11887?\n\"Answer: 4*j**2 + 2925*j + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 32*u - 3*u + 19*u + 16*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 smaller than 1077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 5, u: 7}. Give prob of sequence rr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7305586?\nAnswer: 2, 47, 77719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -239.15 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*u - 16, -4*k + 18 = 2*u + k. Suppose 0 = -5*m - 0*j - 2*j + 28, 0 = u*m + 3*j - 28. What is the remainder when (2\/6)\/(3\/45) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -156, -12, -2\/7, 4, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -229 + 9?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5 + 11 = y - 22, 6*y - 211 = -5*s + 73 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-455)\/(-30)))\/((-90)\/21 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 17*a + 72. Let d(z) = -3*z - a + z - 5*z + 5*z. Let b(p) = 2*p + 5. Calculate -6*b(y) - 5*d(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a + 47558 = 29*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -607 + 654. Suppose 12 = -43*d + z*d. Suppose -5*s = 0, -2*v - 2*v - 4*s + 60 = 0. Solve -t - v = -4*y, -5*t - d*y + 9 = -2*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*u - 5 + 42, 3 = i + 5*u. Let k = 24 + i. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6)*9\/6. Let s = -0.0673 + 37.3673. Let j = 38 - s. Which is the smallest value? (a) f (b) j (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and 3029.10282?\nAnswer: 3047.10282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -113224142344?\nAnswer: -113224142320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/131 in 252, 0.4, 4, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/96 - -131\/672. Which is the closest to 0? (a) 22\/7 (b) p (c) -1\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6347.14502 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*q = 926*q + 9275 - 40859 for q.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 1d6?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -35 (b) 2 (c) -1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(170)*-2 + sqrt(170) + 1*(sqrt(170) + sqrt(170)*2) + sqrt(170))\/((1*sqrt(360))\/sqrt(9)).\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9608 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3794*j*l**2 + 4338*j*l + 174736728*l**2 wrt j?\nAnswer: -3794*l**2 + 4338*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d. Let m be h(2). Let v(k) = k**3 + 2*k**2 - k. Let n be v(1). Solve 0 = -4*u + w + n, 2*w = 2 - m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.42 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -92 (b) 3 (c) 3\/8 (d) -60.6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b6a - -158?\nAnswer: 3106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 18928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 11*b**2 + b + 10. Let u be d(-11). What are the prime factors of (-3)\/(u\/(-5) + 1309\/(-6020))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/12 and -47\/1448.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 - (-2 - 11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 + 2*q. Let b be v(2). Let u = 68 + b. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-30) - (-3784)\/480. Let v = -8 + x. Let g = -196 + 783\/4. What is the closest to v in 1\/2, g, -17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7450 > -7672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6.6. Let q = -0.1 - x. Let s = -15 + 11. Which is the biggest value? (a) 0.1 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/21)\/(i\/i**(-1\/5)*i))\/((i*i**(-3)*i)\/i)**(-2\/7))**(5\/16) assuming i is positive.\nAnswer: i**(-143\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758427557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 490 + 18. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308869.54923 rounded to the nearest integer?\nAnswer: 308870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12ab + -5?\nAnswer: -12b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248.54 + 250.64. Which is the biggest value? (a) n (b) -4 (c) -22 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - 17. Let k be 1*(-5 + (-9)\/(-9)) + (-28 - -2). Is m not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 365*g - 736. What is o(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205797388?\nAnswer: 2, 4391, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 98612 and -3.\nAnswer: 98609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021062 times -1?\nAnswer: -0.021062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72270?\nAnswer: 2, 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1308431 - 2*t**2 + 308*t**2 + 1309564 wrt t?\nAnswer: 612*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 19173434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-10) - (5 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -11. Suppose 48*k - 93*k = -90. What is the smallest common multiple of k and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((-5)\/80). Let i(b) = -b**2 + 12*b - 9. Calculate the remainder when i(t) is divided by ((-18)\/(-5))\/(9\/30).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 150*z**2 - 185*z - 5122. Determine v(-151).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let w(c) = 4*c. Let q(p) = g(p) + w(p). Let y = -3 - -18. Calculate the remainder when y is divided by q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 26*b**2 + 13*b**2 - 1 as y*b**2 + h*b + v and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30)*(-645)\/344)\/(-2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 28 = -4*j + 62, 5*j - 4*a = 128. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-15 - -9) + 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191495098.\nAnswer: 2, 11, 131, 1107389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 5051508?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 254521\/4 = 63629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.108837608\nAnswer: 0.108837608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353967672 < 1353967672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21498.27*-21.7.\nAnswer: -466512.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 58 - 129*l**3 - 158 + 212*l**3 - 14*l**2 - 84*l**3 - 21*l. Give c(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*q + 33192 = 34997 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/((-4)\/144*-6). Suppose -x - 36 = -g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7365723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71174104.\nAnswer: 2, 17, 577, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51 + 104 - 54 - 94*o**3 + (1 - 1 - o)*(1 - 1 + o**2) + 3 + 2*o**3 - 3 + 2*o**3 - o + o.\nAnswer: -91*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 24*l - 88. Let u be t(12). Suppose 2*x = -3*x + u. What is the greatest common divisor of 64 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5232 and 2104.\nAnswer: 1376016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 5*a - 3*n + 6, -2*a + 4*n - 8 = 0. Is 4 + (3 - 102\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-6)*(7 - 10). Suppose 5*v - 5*s - 306 = 84, -4*v + 328 = 4*s. What is the greatest common divisor of w and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, 1, -5, 231\/2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -205714, -205712, -205710, -205708, -205706, -205704?\n\"Answer: 2*k - 205716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 3*-1*-1*sqrt(567) + ((0 + sqrt(567))*4 - (sqrt(567) + 0 + -4)))**2.\nAnswer: -40832 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32940303 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.0307947085 + -0.0307925485. Let b = s - 53. What is b rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 76, 113, 150, 187?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 times -75?\nAnswer: -11700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*w - 162 wrt w?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*w = 4*w - 465, 4*w = 4*c - 372. Suppose 3*x - 78 + c = 0. Suppose 5*z = -5*g - 1 - 4, 0 = -5*z - 4*g. Put z, 7, x in descending order.\nAnswer: 7, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12518\/147 - -123\/49. Let d = u + -87. Calculate the common denominator of -67\/69 and d.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*f + 129 - 38, -f + 23 = o. Solve -4*a = -2*n - o, -7*n = -a - 9*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -539810*d**2*l**2 + 4161*l**2 - 89*l wrt d?\nAnswer: -1079620*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3546 - 3545.94. Which is the second smallest value? (a) -11 (b) 2\/9 (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -5. Put 4, f, 2 in decreasing order.\nAnswer: 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760303 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 2:25 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7658 is divided by 130.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 280.65798 to 1 dp.\nAnswer: 280.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -0.12365.\nAnswer: 1.87635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 195?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/11970 and -137\/2394.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 3*y + 1. Let b = -11 + 9. Let i be j(b). Solve -4 = i*u - 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 4529*i**3 - 4526*i**3 + 9.\nAnswer: 3*i**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5267 = t - 66144, -4*i - 71421 = t. Let s = i - -31695. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (180\/96 - 2) + 2\/16. Solve v = 8*m - 6*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1084 to the nearest 10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and -0.01.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*s**3\/7 - 68*s**2\/7 + 46*s\/7 - 8\/7.\nAnswer: 2*(s - 1)**2*(15*s - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 231883920 to the nearest one million.\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -94, 3, 0 in increasing order.\nAnswer: -94, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*f - 5*m - 0*m, 6 = -3*m. Suppose -8 = n + 3*n, -2*n - 29 = -f*w. Let r(x) = 6*x - 2. Does 14 divide r(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a (base 15) in base 4?\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, l: 4, s: 2, q: 9, p: 1}. What is prob of picking 2 s, 1 p, and 1 q?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31)\/(((-18)\/2)\/(-189)). Let q = x + 647. Put 86, -1, q, 5 in increasing order.\nAnswer: q, -1, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 1, k: 1, b: 1}. Give prob of sequence kbve.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5373260 divided by -23.\nAnswer: 233620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**2 - 10*r**4 + 4*r**2 + 14*r**3 + 0 + 0.\nAnswer: -2*r**2*(r - 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from lnggxgggnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 807435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {s: 8, x: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(-1\/4)*m*m**2*m**(-4)*m*(m**(-3\/10)*m*m**(-4))**(-16) assuming m is positive.\nAnswer: m**(527\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 11*s - 12. Give q(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 - m - 14. Calculate z(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let w(c) = 2*c + 836 - 836. Determine p(w(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1031\/238 + -13\/34. Let h(f) = -484*f - 5. Let a be h(3). Let x = 13129\/9 + a. What is the common denominator of x and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/2*2\/2. Let r = m + -1. Solve -6 = d - 3*u, 7*d + r = 3*d + 4*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 616, 934, 1256, 1582, 1912, 2246?\nAnswer: 2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -82*h + 2. Let y be l(-2). Suppose 4*o + 2*z + 553 = -69, o + 4*z + y = 0. Let s = o - -217. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51428, 206189, 464126, 825239, 1289528?\n\"Answer: 51588*v**2 - 3*v - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 319. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -714 + 1101. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-6)*l*l)\/(l\/((l*l*l**4*l*l)\/l))*l**(-1)*l*l*l**1\/l*l*l)**16 assuming l is positive.\nAnswer: l**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -2, 0, 6, 1112, -1 in ascending order.\nAnswer: -2, -1, 0, 5, 6, 10, 1112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - 2*l**4 + 4*l**4 + (2*l - 2*l + 2*l)*(-l**3 + 5*l**3 - 6*l**3).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10160.3 rounded to the nearest ten?\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5, 0 = -4*x + u - 1 - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/7*a + 2\/7*a**2 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*b**3 + 252130*b**2 + 302525*b + 50420 = 0. What is b?\nAnswer: -10084, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -572*b**4 - 26*b**3 - 168329*b**2.\nAnswer: -13728*b - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 + 232 + 103)*(-g**5 - g**5 + 3*g**5).\nAnswer: 229*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453679 is divided by 90650?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*l + 2720503 - 22653417. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 37*n + 279. Determine g(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f = t - 48*f + 12*f - 64, 0 = -5*t + 4*f + 365 for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -70, -135, -200, -265?\n\"Answer: -65*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -221514054 + 440?\nAnswer: -221513214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6\/(l\/(l*l*l*l**(-15)))*(l**5\/l*l)**(-20) assuming l is positive.\nAnswer: l**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 + (-6)\/8 - (-2016)\/128 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139409413, 278818824, 418228235, 557637646, 697047057, 836456468?\nAnswer: 975865879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-363)\/(-18))\/(-11) + 4\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120103587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*j - 52*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 16*q + 5 - 7)*(-q - 2*q - 10*q)*(-3*q + 0*q - q + (q - q - q)*(0 + 2 - 3)).\nAnswer: 741*q**3 - 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4151\/9 + -461. Let z be (6 + -10)\/((-8)\/(-4) + 24). Which is the closest to r? (a) z (b) 2\/7 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1652159 - 1220162. Let w = -1647321 - g. What is w rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.100694 + -129.\nAnswer: -129.100694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4175, -8053, -11669, -14891, -17587, -19625, -20873?\n\"Answer: 22*b**3 - b**2 - 4029*b - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728158 equal to 10728161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43\/5 + 46\/5. Let t(c) = c**3 + 8*c**2 + 6. Let u be t(-8). Let f = -4 + u. Is f at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -36. Sort f, -3, 3, 2\/9 in increasing order.\nAnswer: -3, 2\/9, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*m = 1, 4*j + 2*m + 2 = -m. Let a(h) = h**2 + 4 + 3*h**2 + 0*h**2 - j + 5*h. Is a(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593208 is divided by 231?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76067 = 7*p - 128655. Let t = -20155 + p. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/11, 2, -0.2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72599.36 litres in millilitres?\nAnswer: 72599360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g. Let y(j) be the third derivative of -j**4\/12 + 66*j**2. Give y(f(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 91*p**2 + 189*p + 253. Calculate d(-93).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295731?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65504476902 - 0.1?\nAnswer: 65504476901.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 118*u**3 + 136*u**3 - 2*u**2 - 261*u**3 + 3 - u to the form n*u + z*u**2 + t*u**3 + a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6379 + 6386. Solve q*y - 38 = 11 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6, -17, 2\/3, 1.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 378, 397, 436, 501, 598, 733, 912, 1141?\n\"Answer: n**3 + 4*n**2 + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6) + (-14 - -6) + 13 + (-121 - -40).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-216)*(-8 + -1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -23. Let k = 38 - m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4 + 4*y**3\/3 - 2*y**2 - 4*y - 2. Factor h(z).\nAnswer: 4*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 16.9. Which is the closest to 0? (a) 2\/9 (b) s (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 50. Which is the nearest to -0.4? (a) -2 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1268*q**2 + 190*q**2 - 1371*q**2 - 857*q**2 to the form s*q + u*q**2 + o and give u.\nAnswer: -3306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*r - 78 = 0, 0 = -8163*q + 8160*q + 7*r - 152 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 3) + 0 + 6. Factor -9*g - 6 - 9*g**3 - 8*g**3 + 24*g**2 + 8*g**d.\nAnswer: -3*(g - 2)*(g - 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -19*s + 16 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 + 1802\/7. Let z = -0.4355 - 0.5645. Which is the fourth smallest value? (a) -3 (b) m (c) z (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhooohouu. Give prob of picking 1 o and 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*q = 3, -5*q - 1 = -3*m - 3*q. Suppose -2*u - 2*n + 418 = 0, -5*n - m = -4*n. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**3 - 2216*u**2 - 4416*u = 0?\nAnswer: -552, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/15, -118 in increasing order.\nAnswer: -118, -0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -5, 23, 0.1, 337?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452709.8l to millilitres.\nAnswer: 452709800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 + 4*h**2 + 198*h + 936 = 0. Calculate h.\nAnswer: -12, -6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 226261.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 23*g - 8 + 8 - 25*g - 22*g. Let x(b) = -47*b**2. Determine t(x(u)).\nAnswer: 1128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 128416.\nAnswer: 128416.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 1471. Suppose 0*k + 3*k - z = 0. Suppose -2*f - k = 472. What is f rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10019995 = f, 3*z - 2*f = -0*z - 30059990. What is z rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-218)\/763*(-7)\/(-5). Sort k, 4, -1\/4, 3.3, 4\/3 in decreasing order.\nAnswer: 4, 3.3, 4\/3, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4147, -8097, -12047, -15997, -19947?\nAnswer: -23897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67346 = -144*o + 367*o. Calculate the smallest common multiple of o and 18.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -506432.\nAnswer: -1\/126608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 13) to base 4\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgggcagxar. Give prob of sequence rgcg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/9 (b) -7 (c) -0.11 (d) -0.1 (e) 257 (f) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*sqrt(1331) + 4*(sqrt(1331)*1 - sqrt(1331)))**2 + -5.\nAnswer: 330*sqrt(11) + 33279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 817*v - 12259. Let r be c(15). Let f(a) = 35*a**2. Let k(j) = 560*j**2. Determine r*k(l) + 63*f(l).\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:56 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*o + 23, -2*u - 4*o = 12 - 38. Let m(s) = 47*s - 16. What are the prime factors of m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-3))\/16)\/((-57)\/18).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21526*d**3 - 18436*d**2 + 2?\nAnswer: -129156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(5) + sqrt(5))*2 - (3*sqrt(200)\/sqrt(4))\/sqrt(10).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.309 - 0.019. Let s = t - 0.09. Which is the nearest to 1? (a) 0 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-21) + 6\/21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 6, t: 4}. What is prob of picking 2 k and 1 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -250 + 254. What is the third derivative of 9*r**4 - 4*r**2 + 51*r**5 - r**2 + 7*r + n*r**2 - 52*r**5 wrt r?\nAnswer: -60*r**2 + 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46 and -101516.\nAnswer: 46697.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.437224073 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-2 - (-7 - -1). Suppose -d*b + 26 = 5*q, 3*b + 5*q + 5 = 34. Let o = 4 - b. Is 7\/4 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/15 + (6\/(-9))\/1. Calculate the remainder when (-5)\/(-20)*-2 + (-81)\/i is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14. Let x be f*(-3 + 4) - -33. Calculate the greatest common factor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2420*p**2 + 1370*p**2 - 5489*p**2.\nAnswer: -6539*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 122228*b - 122232*b + 3*x, 12*b = 2*x + 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74010.22 milliseconds to seconds.\nAnswer: 74.01022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - -41. Suppose -16*b = -14*b - y. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 3*u - 4. Let b be i(-2). Let y(c) = c - 2. Let r(q) = -2*q + 5. Let z(o) = b*r(o) + 11*y(o). Let h(s) = s**2. Determine z(h(t)).\nAnswer: -t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9) - (-2668)\/522\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.2, 0.014, 0, 0.3, -4\/9 in decreasing order.\nAnswer: 0.3, 0.014, 0, -4\/9, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 + -0.04. Let j = -7.4 + 7. Let p = j + 0.2. Put p, l, -2 in descending order.\nAnswer: l, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 4*t - 6. Let b(d) = 6*d**2 - 3*d - 1. Let o be b(4). Let z = o + -63. Calculate the smallest common multiple of x(3) and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/1566*3\/(-34)*6?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 65*z - 1\/42*z**4 + 0 + 2\/7*z**2 - 1\/21*z**3. Suppose n(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 5. Let h = 11 - 17. Let v be (-66)\/(-18) - 2\/h. Give z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - 2. What are the prime factors of r(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 + 0*v**3 - v + 11*v - 8*v - 8*v**2 + 31 - 7*v**3 in the form c + d*v**2 + n*v**3 + q*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1066*v - 4*v**3 - 189*v - 79558*v**2 + 5*v**3 - 3 + 79559*v**2 as o + b*v**2 + w*v + t*v**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpqqqqqq. What is prob of picking 2 q?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkn when three letters picked without replacement from kwnnnnnwnnnnnnkjnj.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclcccl. Give prob of sequence cl.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-3 - 265\/(-20))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*w + 195*w + 88 = 517 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/90 and (0 - 4) + -17 + (-4296)\/(-160).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79170.83nm to centimeters.\nAnswer: 0.007917083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354934 = -6047*x - 213484 for x.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 5*c - 4. Let p(a) be the first derivative of 4*a**3\/3 - 11*a**2\/2 - 9*a - 117. Determine 6*p(h) - 13*x(h).\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59324 is divided by 59209?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160807*x**4 + 14*x**3 + 3*x - 799793 wrt x.\nAnswer: -1929684*x**2 + 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:08 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 10 = 0. Suppose -j - 5*i + 26 = 0, s*i = 3*j - 3 + 5. Let r(t) = 7*t - 1. Let g(f) = 17*f - 32*f + 16*f. Calculate j*g(c) - r(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*g**2*t**3*w**2 - 3*g**2*t**2 + 1158*g**2 + 684*g*t**3 + 227*t**3*w**2 + 2*w wrt w?\nAnswer: 190*g**2*t**3 + 454*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31324 (base 5) to base 4.\nAnswer: -200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187919 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 105 + 57 - 76 + v - v**2 + 60. What is the remainder when m(0) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quqfqqqqfuqff. What is prob of sequence qqqq?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*o + 10 = o, 5*j = o + 25. Suppose 12 = 26*f - 20*f. Find the second derivative of 2*h - 2*h**5 + h**5 - f*h**5 + 0*h**j wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 872335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**3\/3 - 1. Let y(t) = -t - 2. Let z(j) = -2*j + 2. Let m(a) = y(a) + z(a). What is m(g(d))?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x + 616 = 3*r, -192 = -r - 5*x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + 6. Calculate p(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80*1\/2)\/(1\/5900). What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -76. Suppose 0 = 2*u + u - a. What is the highest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26.3, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.3 - 6. Suppose 7 - 3 = f. Let h = 0.1 - 0. Sort f, i, h in decreasing order.\nAnswer: f, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 10*l**2 + 11*l - 11. Let f be i(9). Suppose 3*t - f - 2 = 0. Suppose -274 = -5*s - 3*a, 97 = -t*s + 5*s - 3*a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by (8 - 69\/9) + 26\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -910 + 1873. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-80))\/(54\/432). Let o(l) = 5*l. Let h be o(1). Sort 2, h, k, -9 in increasing order.\nAnswer: -9, k, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -1. Let p = -3.6 + 4. Which is the nearest to 1\/3? (a) l (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + z**2 + z - 2. Let x(j) = j**3 - 2*j**2 + 282*j - 557*j + 3 + 274*j. Give 3*c(n) + 2*x(n).\nAnswer: -4*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r = 3*p - 71*r - 560, -r = -2*p + 375. Calculate the remainder when p is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 12 = -r. Suppose -r - 7 = -3*b. Suppose -21 + 5 = -t. Calculate the remainder when t is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 7 = -3*x. Let o(y) = -y**2 + 9*y + 6. Calculate the least common multiple of 14 and o(x).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 7. Suppose -u + 4*u = 48. Let q be o(u). Find the third derivative of q*k**2 + 14*k**4 - 41*k**4 + 15*k**4 wrt k.\nAnswer: -288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -160 + -504. Let m = l - -657.99. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 1418*p - 1418*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 361*i - 9279. Let c be y(26). Which is smaller: c or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 16 = -2*f, -n - 8 = -f - 5*n. Suppose -5*h + 15 = -5*x, 0 = 3*x - 5*h + 11. Let v be (f - (6 - 2))\/(-1 - x). Sort 2, -5, -13, v.\nAnswer: -13, -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*v = -99*v - 747924. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 4*h + 19*h to n*h + z and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*p + 287*p = 561 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - p - 60 = 0, c - 60 = -c - p. Suppose 6*z + 6 = c. Let f(r) = r**3 - 5*r**2 + 6*r - 1. What is f(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 650 and 378.\nAnswer: 122850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 72*o**2 - 1211*o - 103. Calculate b(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -642700 to the nearest ten thousand.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 23*w**2 + 50*w + 43. What is b(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9bb618 + 4?\nAnswer: 9bb61c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 233760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -11. Let b(v) = 5*v + 2. Let q be b(2). Calculate the highest common factor of s and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -375219 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4320748 - -9920748. Round v to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -8 - -8)*-2. Solve 0 = 3*f + 4*c - 21, -5*f + 3*c = -b*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 + 55884.\nAnswer: 55914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1052 + 1057. Solve n*u + 2*y = 3*u - 2, 3*y + 7 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4\/(-6) - (-546)\/126\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(1\/8)*a**(-25)\/a**17 assuming a is positive.\nAnswer: a**(-671\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x\/x**(-1\/4)))*x*x))**(-38)*(x*x**(5\/14))**39)**(-30) assuming x is positive.\nAnswer: x**(-29070\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 195.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/21912 and -99\/4.\nAnswer: 21912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (103 - (-65 + 17 - -14)) + -33\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -4, -140, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19441281?\nAnswer: 3, 29, 223463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q**2 - 6*q - 6*q - 70*q**2 + 2*q.\nAnswer: -91*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 6. Let d(x) = -x**3 + 7*x**2 + 4*x - 17. Let p be d(7). Suppose -4*l + 31 = p. What is the remainder when 32 is divided by f(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 7089771286591?\nAnswer: -7089771286590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -40, -95, -186, -325?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 3. Suppose -m*l + 4*l - 15 = 0. Let f be l\/3*(1 - 0). Solve -i = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -k = -u + 6. Let m(x) = x**3 - x**2 - 46*x + 99. Let r be m(0). Calculate the greatest common factor of u and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42410 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15487.3 - 15487. Which is the nearest to -47? (a) -2\/19 (b) v (c) 0.05 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -68. Suppose -3*y + 2 + 7 = 0. What is the nearest to h in 0, y, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 6*s**2 + 5*s. Let q be h(5). Suppose -3*c - 3 - 2 = -z, 41 = 5*z + c. Let d = z + -6. What is the third biggest value in q, d, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c*m**5 + 34278*c*m**2 - 29*c*m - c - 2*m + 363 wrt m?\nAnswer: -80*c*m**3 + 68556*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 2)*(3 + 4 + 1) + 1 + 2 - 1)*(83 - 83 - 32*n).\nAnswer: 192*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 4*x)*(-x**2 + x**2 - x**2) - x - x**3 + x - 2*x**3 + 0*x**2 + 0*x**2 + (2*x - 1 + 1)*(-3*x**2 + 3*x**2 - x**2) + x**3 - 2*x**3 + 0*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426\/5 + (-7)\/35?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -97568.52 and 0.159.\nAnswer: -97568.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 0*o + 4*o. Let j(k) be the first derivative of -5*k**4\/12 + 6*k + 2. Let b(i) be the first derivative of j(i). Give h(b(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 986*r - 24. Determine b(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2799, -2786, -2773, -2760, -2747?\nAnswer: -2734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3220\/(-112) + 696\/24. Factor -p*i**2 + 1\/4*i + 3.\nAnswer: -(i - 4)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 4226 - 4226 - 8327*r in the form l + q*r and give q.\nAnswer: -8327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002397 less than 0.66668?\nAnswer: 0.664283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*k - 7, k = 6*k + 2*b - 20. Suppose -k*f + 7*f = -250000. What is f rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3351720 to the power of 1\/2, to the nearest integer?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 334261, 668521, 1002779, 1337035?\n\"Answer: -p**2 + 334263*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (3 - (32 - (23 - 1))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thttlltmtttthlhttltl. What is prob of sequence ll?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 78278 * 2\nAnswer: 156556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-3 + 3)*-6)**2 - (2*sqrt(8) - (sqrt(4)\/sqrt(2) + 4))**2.\nAnswer: -624*sqrt(2) + 938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15350688 divided by 46944\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1960 + -2?\nAnswer: 195a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 3, p: 1}. Give prob of picking 2 q and 1 r.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3567, 2723, 1879, 1035, 191, -653?\n\"Answer: -844*a + 4411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1420 - -1426. Suppose -r + 6*r = 20. Is 4\/j*r\/8*390 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441.7498*-5\nAnswer: -2208.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2 + 4*y + 2. Let l(s) = s**2 - s. Let x(p) = -6*l(p) - m(p). Suppose -2 = -z - 0*z. Determine x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -509*h**6 + 585*h**2 wrt h.\nAnswer: -61080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/3 - 86*j**3\/3 - 356*j**2\/3 + 328*j + 912 = 0.\nAnswer: -38, -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1795 = -77*w - 178. Calculate the greatest common factor of w and 7539.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -73398950 rounded to the nearest 10000?\nAnswer: -73400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 266, 256, 232, 188, 118?\n\"Answer: -u**3 - u**2 + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -34. Let d = -11 - i. Solve d*u + 1 + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73527 and 9.\nAnswer: 220581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -16 - ((10 - 3) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5495394382.\nAnswer: 2, 29, 107, 885497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 108, 62, -42.\nAnswer: -42, 5, 62, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 - 1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:41 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 - 4.461. Let t = d + 0.06099991. What is t rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 13*w**2 - 7*w. Let k be v(7). Sort 4, k, 3.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130839469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 4*w**2 + 4*w + 40. Give b(-8).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnqquuusqxnnnuuxnqqs. Give prob of sequence nqqn.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 348\/7*i + 15138\/7 + 2\/7*i**2 = 0.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (-66 - -89) + 12 + 0 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l - 339. Determine h(-33).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -30*c**3 + c**2 - 1. Let h be 1\/(((-3)\/(-23))\/3). Let a = -24 + h. What is the tens digit of z(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 69 = 3*w, 11 = a + 140*w - 138*w. Suppose -205 = -5*u - 55. What is the lowest common multiple of a and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2 - 15\/6. Let k = 1\/16761 + 530761\/67044. Calculate the common denominator of ((-33)\/44)\/((-18)\/c) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 661567 and -65.\nAnswer: 661502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10603, -10620, -10645, -10678, -10719, -10768?\nAnswer: -10825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -21*k + 19 + 103 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31404, -62579, -93754?\n\"Answer: -31175*o - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 736.01149+49\nAnswer: 785.01149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - -30.9. Let i = u - 27. Which is the third biggest value? (a) i (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/4 - 5*g. Let r(b) = 2*b**2. Calculate r(j(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13*j**5 + 34\/13*j**3 + 0*j - 16\/13*j**4 - 20\/13*j**2 + 0 = 0. What is j?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-14 - -11 - -16) + -13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*f + 256 = 26*s + 317*f, -8*s + 3*f = -92 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -46 - 3*a + 46 + 2*a. Let t(f) = 23*f - 139. Let v(h) = 61*h - 364. Let c(s) = -21*t(s) + 8*v(s). Calculate c(g(i)).\nAnswer: -5*i + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -328511397?\nAnswer: -328511397.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126960)\/44965*2\/(-8).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let o(y) = -4*y + 5. Let k be (2\/5)\/(8\/20). Suppose 0 = -0*m + m + 3. Give k*o(d) + m*l(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 28.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5, a: 9}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975188430?\nAnswer: 2, 3, 5, 47, 76847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:36 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -10, -39, 158, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80468, -160934, -241400, -321866?\n\"Answer: -80466*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 636159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**2*n**3*t**2 + 2*g*n**3*t + 2*g*n*t**2 + 2*g*n + 2 wrt g.\nAnswer: 10*n**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2 + -2)\/1. Let g be 9\/((-405)\/(-325)) + -7. Which is the nearest to g? (a) -3 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 15. Let i be p(-5). Suppose 2*b = 3*q + 69, 4*b + i*b = -5*q - 115. Let o(s) = -2*s**2 - 47*s + 5. What is the units digit of o(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 12*p**2 + 12*p - 1. What is w(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13454504 (base 6) in base 7?\nAnswer: 3616561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65694450 is divided by 2232?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -201\/8405825 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 875, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-354)\/(-9) - 2\/(-6). Let h = c + -40. Let k = 702.24 - 676.24. Sort -0.3, h, k, -0.1 in decreasing order.\nAnswer: k, -0.1, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 424?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -1 - 9. Suppose 7*q + 3*n - 21 = 4*q, -n = l*q - 9. Solve 5 = m - q*m + 5*r, -r = -3*m - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - m = 5 + 4, 2*m = -47*x - 2*m - 858 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.7898107 to 2 decimal places.\nAnswer: -33.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.5 - -45. Suppose 2*a + 21 = 5*z, 4*a = a - z + 11. Sort -1, b, a in ascending order.\nAnswer: -1, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3845251*z**3 + 4826*z**2 + 2*z - 9?\nAnswer: -23071506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 15. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -40*t**2 + 6784*t + 1558. Give r(170).\nAnswer: -1162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 minus 76341?\nAnswer: -76343.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*l**3\/5 + 128*l**2\/5 + 66*l + 234\/5 = 0. What is l?\nAnswer: -13, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/30*-4*3\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x + 19 = -3*q, 0 = 2*q + 8. Put -2, x, -1, 4 in descending order.\nAnswer: 4, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6940*h**3 + 7933*h**2 + 56117759 - 6032*h**3 - 56117759 wrt h?\nAnswer: -77832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87.35 + 84. Let v = h - -3.6. Let u = 0.25 - v. Which is the closest to 2\/9? (a) u (b) 16 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(24\/12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6973*h**2 - 2*h + 13942*h**2 + 2*h - 6970*h**2 + 659 as u*h + q + w*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282842812*y**2 + 39277452*y.\nAnswer: 565685624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1052, 8726, 29574, 70184, 137144, 237042, 376466?\nAnswer: 562004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40668, 40625, 40582?\nAnswer: 40539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 - 20*k**2 + 36*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 153, 305, 491, 711, 965, 1253?\n\"Answer: 17*g**2 + 101*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 0*k**4 + 3*k**4 - k**4 + 2 - 3*k**4 + k**2 in the form j*k + p*k**4 + i*k**3 + h + o*k**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-70)*(-11)\/(-22).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 8:26 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 483 = 19*v. Let z = 215 - v. Calculate the remainder when 322 is divided by z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 63\/4*p - 93\/4*p**2 + 0.\nAnswer: -3*p*(p + 7)*(4*p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1440 + 1439.8883. Let s = -0.111698897 - b. Round s to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 272*r - 333*r - 443*r - 28728 = 0 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2825 or 304.47?\nAnswer: 304.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 22\/4)*506\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608582851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2 + 88*m + 10328 with respect to m.\nAnswer: -2*m + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074433 to six decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/8 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 + 706. Suppose -3*x + 1 = 16, 3*s - 5*x = z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 2*h**2 + 8*h - 54. Let s(t) = t**3 - 2*t**2 - 9*t + 70. Let z(o) = 4*n(o) + 3*s(o). Calculate z(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113860 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 + 9 + -1 + (-17 - (10 + -15) - -16).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w. Let y be s(1). Let p = 4 - y. Solve o + 5 = -p*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5 + 4 + z**3 + 4*z**2 - 6. Suppose -2*t = -3*n - 4, -4*t + 5*n - 4 = 2*n. Let r be y(t). Solve -3*u = -5*q - 5, u - 5*u - 3 = r*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 13*s - 6. Let w be z(12). Let q be (-18)\/(-10)*(-60)\/w. Solve 3*u = -0*u + q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11)\/(u\/(u\/((u\/u**(-20))\/u))) assuming u is positive.\nAnswer: u**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 6. Let g(b) = b**2 + 1. Let u(r) = r**3 - 4*r**2 - 5*r - 1. Let t be u(5). Give t*p(x) + 6*g(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11204258 divided by 329537?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlxlxx. What is prob of sequence llx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255174 is divided by 127499?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.09 (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+6449931\nAnswer: 6449930.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1189 - -1198. What is the least common multiple of x and 164?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4))\/z**(-6)*(z**(-3)\/z*z*z)\/z**(-3))\/((z**(3\/4)*z*z**(2\/5))\/(z**(-1\/3))**(2\/121)) assuming z is positive.\nAnswer: z**(13391\/7260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14100 and 31678.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 2*c - 2*c - c**2. Let o be r(2). Let g(f) = -2*f**3 + 48*f**2 - 31*f - 352. Let m be g(23). Is m at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32795293\/27340 + 233\/2734. Let m = b + 1200. What is the common denominator of 51\/8 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -49. Suppose 2*z + 2*z = -j. Let h be (7 - 7)\/4 - 1\/6. What is the nearest to z in h, 2, -0.04?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 45*v**2 + 6*v + 31. Is f(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y - 22*y - 12*y**2 - 25*y**2 - 17*y**2 + 27*y**2.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661.85456 rounded to the nearest ten?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z - 4*i + 18, -4*z = 5*i - 2. Let f be (1 - 2)\/(2\/(-4)). Let w = -2 + f. Put -1, z, w in increasing order.\nAnswer: z, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y. Let z(j) = 22*j**2 - 27*j + 25*j + 7*j**2. Calculate z(t(m)).\nAnswer: 261*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 25 = 3*r, 5*q - 5*r + 33 = -2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a0920 (base 15) in base 13?\nAnswer: 14a495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 6*(-2)\/3. Let w = -228 + 275. Suppose 0 = 2*u - 5*f + 8, -4*u + w - 7 = 4*f. Solve 5*q = b - u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 139 + 1 - 90.\nAnswer: -2*l - 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3143973 or -3143972?\nAnswer: -3143972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101010 (base 2) to base 7.\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.003539 equal to 2\/511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 7. Let i be y\/7 - (-3154)\/14. Suppose -o - i = -6*o. Calculate the remainder when o is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -13*j**2 + 5*j**5 + 82*j**4 - 6*j - 81*j**4 - 7*j**3 - 4*j**5 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m + 8*m + 8*m)*(-3 - 2 + 1)*(-7 + 0 - 5)*(2*m + 2*m - 2*m) + (3 - 3 + m)*(-2*m + 4*m + 0*m).\nAnswer: 2690*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -12. Suppose 0*y = 3*y - 12, -b*g = y - 34. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 160, 214, 244, 244, 208, 130?\n\"Answer: -x**3 - 3*x**2 + 88*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.087 - -0.0826. Let d = g - -0.0044794. Round d to 6 decimal places.\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5970266 is divided by 933?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 5*n + 3. Let q be d(3). Let z = -585 - -599. Let r(h) = -10*h + z*h + q*h. Let j(x) = -2*x**2. Determine r(j(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*u = -u - 48, 0 = -y + 2*u - 54. Let r be y\/30 + (-3)\/((-3)\/170). Let j = -98 + r. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c - 50 = -5*y, 3*y - 5*c = -2. Let b(s) = y*s**2 - 8*s + 34*s**3 - 4 - 33*s**3 - s. Let q be b(-7). Solve 0 = 3*u + 4 - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 24*o**2 + 18*o - 115. Let l be a(-23). Is l less than -2\/2025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10) + (-2)\/(-4). Suppose -6*i + 18 = -9*i. Let b = i - h. Which is smaller: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 11 - 39 = 0. What is the first derivative of -6 + k*g + 2 - 2*g wrt g?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.435.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 32*s**2 - 3135*s + 183. Give i(98).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 10*i + 2*i)*(-i**3 - 1 + 1) + 0*i**4 + 2*i**4 + 0*i**4 as n + c*i + k*i**3 + t*i**2 + d*i**4 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r. Suppose r = -c - c. Let m(h) = h + 14. Does 7 divide m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 + 169. Calculate the lowest common multiple of 14 and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + p**3 - p**3)*(-13*p + 32*p + 23*p).\nAnswer: -84*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*q + 5*t, 0 = -q - 0*q - 4*t - 6. What is the remainder when 17 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 300224864?\nAnswer: -300224860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = -3*v + x - 329, 38*v + x - 30 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (17\/(-5) - -4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + j - 30, 3*g - 2*g + 12 = j. Let l be (-126)\/10*30\/g. Suppose 2*u - 28 = -2*u. What is the greatest common factor of u and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/61 in 5, -5, -0.13655, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 255 + -162. Suppose z = -c + 424. Suppose -4*u - 3*r = -1157, -3*u - 3*r = -c - 536. Round u to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.37, 2\/3, -33, 35\/13, -3, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-28)*(-12)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3761966*t**3 - 9571*t**2 - 19142*t - 19142. Let n(g) = -3931*g**3 - 10*g**2 - 20*g - 20. What is -9571*n(p) + 10*y(p)?\nAnswer: 3941*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, w: 5, l: 3}. Give prob of picking 1 l and 2 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5b41a (base 14) to base 10\nAnswer: -223072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 480452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5 - 8. What is the units digit of (s\/(-3) - -3) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 235\/7 (b) -3\/4 (c) 5 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + -1 + -3.\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let c(g) = -g**2 - 6*g. Suppose p = -5*b + 20, -4*b + 6 + 10 = p. Suppose 0 = -2*t + b*t + 2. What is t*c(f) - 6*i(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 214209551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 2363, 8312, 20047, 39524, 68699?\nAnswer: 109528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 15*u + 30. Calculate j(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*c = 185, 5*t - t - c = 148. Calculate the greatest common divisor of 481 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.8 (b) 2\/5 (c) -2\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 872311.4ml?\nAnswer: 872.3114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23003 (b) 18\/25 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*b - 52 = -7*s, -b - 28 = -3*s. What is the remainder when 53 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-18)\/y*y)\/(y*y**6) assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - sqrt(28)*-4 - (sqrt(7) + sqrt(7) + (sqrt(63))**2*5).\nAnswer: -315 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:18 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + l - 6. Calculate p(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -607\/13 - -69055\/1482. Let w = v - -599\/38. Is 1\/4 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12028*-32265\nAnswer: 388083420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20896 + -3557. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -674, -2779, -6328, -11321, -17758?\n\"Answer: -722*c**2 + 61*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -492 greater than -492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 40993245*p**2 - 327946104*p - 655892304.\nAnswer: 3*(p - 13664423)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -1, -4, -9, -16, -25?\n\"Answer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 - 5*m - 6. Let n(w) be the second derivative of w**4\/4 - w**3\/3 - w**2 + 22*w. What is 4*j(s) - 11*n(s)?\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -437*f + 424*f. Suppose 3*d = 3*l - 21, -l - 2*l + 4*d + 25 = 0. Suppose n + f + n**2 + 0*n**2 + l*n + 3 = 0. What is n?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -373*x + 2419. Is 36 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-2720836 + 2*z**4 + 2*z**2 - z**4 + 2720867 - 295*z**2).\nAnswer: -z**4 + 293*z**2 - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -1\/5*i**6 + 0*i**2 + 0*i**4 - 1\/10*i**5 + 23\/2*i**3 + 0 + 60*i. What is the second derivative of y(v) wrt v?\nAnswer: -72*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 41*v + 37 = 45*v, 5*v = -d + 45. Let u(a) = a**3 - 26*a**2 - 2. Let j(b) = 13*b**2 + 1. Give d*j(p) + 2*u(p).\nAnswer: 2*p**3 + 13*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.724 - -0.524. Let i(g) = -2*g + 5. Let n be i(4). Let l be (-1)\/n - (-26)\/(-60). Which is the second biggest value? (a) 5 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 60 = 3*p. Let q = 17 + p. Suppose 103 + q = 4*u. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3060181381 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -551, 9, 26, -5, 2 in decreasing order.\nAnswer: 26, 9, 2, -1, -5, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 32*s**5\/9 - 640*s**4\/3 + 32542*s**3\/9 - 44312*s**2\/3 - 226*s + 924 = 0.\nAnswer: -1\/4, 1\/4, 6, 21, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2904 + 343. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n. Let z(k) = -30415*k**2. Give w(z(o)).\nAnswer: 91245*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2542.999985262 + 2543. Round f to seven decimal places.\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/33)\/l))\/l**(3\/4)*(l\/((l\/l**(-2))\/l))**(-17) assuming l is positive.\nAnswer: l**(2417\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 4, o: 5, k: 4}. What is prob of picking 4 s?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and 17\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 4698.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2669472685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -988927395 to the nearest ten thousand.\nAnswer: -988930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361655, -723634, -1085613?\nAnswer: -1447592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zznnznzgz. Give prob of picking 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**2 + i**2 + 2*i**2)*(2 + i - 2) + i - i + i**3 + (-2*i + 5*i - 4*i)*(0*i**2 - 3*i**2 + i**2) as w + g*i + d*i**3 + z*i**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1412 - 1407. Which is greater: -7\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 1\/4, -35, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/15)*g)**(-48))**(-8))**28 assuming g is positive.\nAnswer: g**(60928\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqqqqqttqt. Give prob of sequence qqq.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5217, 10307, 15397, 20487, 25577?\nAnswer: 30667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66421381, 132842760, 199264139, 265685518, 332106897, 398528276?\n\"Answer: 66421379*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*s - 124. Let r(a) = -a**3 - 3*a**2 - 6*a - 1. Let v be r(-4). Suppose 5*g + 9 = v. Calculate the greatest common factor of g and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35)\/(-20))\/((-2)\/168). Let h = -124 - l. Let u = 60 + -20. What is the remainder when u is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1188 and 484.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 59 + 51 = 0, 6 = 2*n + 4*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.48 + 26.52. Which is the closest to d? (a) -0.4 (b) -0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -9. What is the remainder when 60 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 5*i - 2*i)*((0*i - 2*i + 0*i)*(i + 13*i + 7*i) - 6*i**2 - 14*i + 14*i).\nAnswer: -96*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9 + 5*167949\/270*6?\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 w, and 1 p when four letters picked without replacement from {k: 1, p: 1, w: 1, b: 1, y: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101011 + -2002?\nAnswer: 22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.4. Let k be 2\/(1*-2) - -2. Let v = 2\/19 + 13\/57. Which is the biggest value? (a) k (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or 7\/2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102\/8 + 12\/(-16) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + u**4 - 3*u**4)*(-1 + 3 - 4) - 7*u**4 - 4*u**4 + u**2 + 8*u**2 - 2.\nAnswer: -9*u**4 + 9*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 51*v**2 + 466*v + 66. What is w(-10)?\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 540 = 0. Suppose 0 = 5*o - 8*o + i. Suppose m - 2*m + 2*a + 4 = 0, o = 5*m - 5*a. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 - 2*c**3*k**2 + 53*c**3*k + 363*c**2*k**2 wrt c?\nAnswer: -120*c**2 - 12*k**2 + 318*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27081 is divided by 6554.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 2, n: 2, y: 4, g: 1, s: 1}. Give prob of picking 1 n and 2 w.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171084 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -4\/5, -38, 2, 6.8, -0.3 in descending order.\nAnswer: 50, 6.8, 2, -0.3, -4\/5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 284164992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1156, 1772, 2396, 3028, 3668, 4316, 4972?\nAnswer: 5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 11*w - 1. Let y(f) = -5*f. Calculate 2*a(l) + 5*y(l).\nAnswer: 2*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.549 plus -20238?\nAnswer: -20237.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 719752163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*x - 22*x + 2*x**2)*(-x + 5*x - 3*x)*(4*x**2 + 5*x + 4*x - 15*x) + 9*x**5 - 5*x**5 + 3*x**5.\nAnswer: 15*x**5 - 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8142*z**5 + 39329*z wrt z?\nAnswer: 162840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) - 30\/8. Let r(m) = -m**2 - 10*m - 19. Let z be r(-7). Let a(j) = -2*j**3 + 4*j**2 + j - 1. Let x be a(z). Sort 3, x, u in ascending order.\nAnswer: u, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b6454 + 4?\nAnswer: -1b6450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 15 - 13. Suppose -2*h - 8 = -4*m, -3*m + k = -4*h - 4*m. Let q be h\/(-36)*4 + 33104\/72. What is q rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -3*z. Let a = -2 + z. Let d(s) = 2*s**2 - 2*s**2 - 3*s**2 + 0*s**a. Let l(t) = t. Determine l(d(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*v**4 - 3*f**2*v**3 - 122*f**2 - 2*f*v**2 + 6*v**4 wrt v.\nAnswer: -48*f**2*v - 18*f**2 + 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q. Let j(a) = -21*a**2 - 10*a - 20. Let w(g) = 7*g**2 + 3*g + 6. Let x(z) = 3*j(z) + 10*w(z). What is m(x(v))?\nAnswer: 49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/72)\/(-1)*6\/4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -0.9. Let z = p + -1.16. Which is the smallest value? (a) z (b) 4\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(220)\/sqrt(4) - (sqrt(55) + 2*sqrt(55))*6)\/(-1*sqrt(45)*-3 + sqrt(45)).\nAnswer: -17*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-345))\/(-1))\/(37\/185).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -305, -3003, -10345, -24653, -48249, -83455, -132593?\n\"Answer: -387*n**3 + 11*n + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89535 + 169027. Suppose 0 = 5*c + 2*s - i, c + c - 31784 = -4*s. Round c to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c0c0 + -3?\nAnswer: -1c0c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 17790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 1, d: 2}. What is prob of sequence rg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhagavvaajvggh. What is prob of picking 4 v?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.704.\nAnswer: -0.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 380470168 to the nearest one hundred thousand.\nAnswer: 380500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w + 11*w + 3*w**2 - 4*w. Let j(b) = 9*b**2. What is h(j(d))?\nAnswer: 243*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -6*sqrt(1900)*-1 + 1 + sqrt(1900)*1)*5)**2.\nAnswer: 2327500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7048295 + -349295. Round f to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 30, -3, 1 in decreasing order.\nAnswer: 30, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let m be (-2)\/11 - d\/33. Sort 2, m, -3\/10, -5 in decreasing order.\nAnswer: 2, -3\/10, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 19 = -5*m, 3 = 3*m + 5*f - 2. Suppose m*n = -4 - 1. Suppose -4*s - 6 = -7*t + 2*t, -t - 2 = -4*s. Sort t, n, 0 in ascending order.\nAnswer: n, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2. Suppose p = 4, 6*x - 4*p = 4*x - 12. Suppose a = x*a - 5. Let j(w) = -w + 6*w + a*w - w. What is j(m(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9336099413\/82600 + -12659041\/112. Let g be 2\/20 + 34204\/11800 + -3. Let b = g - x. What is the common denominator of -97\/22 and b?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 23, 43, 77, 131?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4142 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -43*t**4 + 14. Let o(j) = -86*j**4 + 27. Let p(d) = 11*m(d) - 6*o(d). What is the first derivative of p(h) wrt h?\nAnswer: 172*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 54, 0.8, 2\/21, -3 in descending order.\nAnswer: 54, 0.8, 2\/21, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -81.3. Which is the third biggest value? (a) s (b) -294 (c) -0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 1128?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2. Let n(u) = -u - 1. Let c(k) = -3*k - 5. Let m(z) = 4*c(z) - 20*n(z). Determine d(m(w)).\nAnswer: -256*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-30)\/(-40))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d*d**(3\/4)))*((d*(d**(-24)*d*d)\/d)\/d)\/d*(d\/d**(-12))**27 assuming d is positive.\nAnswer: d**(1315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/9)\/((-8)\/12). Let u be (2 + 18\/3)\/s. Let x = 0.26 - 0.46. Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41259 take away -22?\nAnswer: -41237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.56 - 0.568. Let k = d - 84.992. Let m = -84.975 - k. Round m to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.1 - 27. What is the biggest value in p, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 divided by -6?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 5963 = 5909. Which is the closest to 0? (a) 3 (b) -0.5 (c) u (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -0.6, 1\/3, -5 in decreasing order.\nAnswer: 1\/3, -0.6, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -4, 0.2, -1\/3, 16, -0.4, -5\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*c)*(197 + 139 - 422)*(-2*c**3 + c**3 - 2*c**3) - 4*c**4 + 3*c**4 - c**4 in the form s*c**4 + h*c + u*c**2 + z*c**3 + f and give s.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672914659?\nAnswer: 19, 53, 211, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 95*y**2 - 6445*y - 6345.\nAnswer: 5*(y - 47)*(y + 1)*(y + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16509 divided by 3?\nAnswer: -5503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3. Let q be b(1). Let k be 2\/10 - 28\/(-10). Suppose q = k*c - 0. Is 2\/3 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1000\/90 + -11)*24)\/(-6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 154, 153, 152, 151, 150?\n\"Answer: -i + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -7*o**4\/4 - 5*o**2\/2 - 3. Find the second derivative of p(b) wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 7:51 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6)\/(-26 + 12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433105948 rounded to the nearest 1000000?\nAnswer: -2433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/75 and 34\/(-5) + (-38 + 8)\/(-10).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, n: 2, u: 1, v: 2}. Give prob of sequence vv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21469, 42845, 64221, 85597?\n\"Answer: 21376*r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46301469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsp when three letters picked without replacement from xfpppssplffsxfsp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -113.4 times -0.2\nAnswer: 22.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (15 + -41 + -3 + 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 3. Calculate h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 3. Suppose 3*f - 5*y - 17 = 0, 4*f - 21 = -0*f + 5*y. Let t be 720\/117 - f\/26. Let g(u) = 0 - 2 + 4 + t - 5*u. Calculate -3*g(x) - 8*j(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6139901 + 4*d**2 + 6139901.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*v, 3*v - 5 = -235*d + 237*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2736) - (1 + sqrt(2736))**2 - sqrt(2736))*3.\nAnswer: -8207 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + sqrt(245)*1)*6.\nAnswer: 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - -6 - (-6 + 2). Is 12 a factor of x + 4\/(-12)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 7*t + 9. Let s be i(-6). Let c = s - 1. Suppose 26 + 4 = 2*y - c*l, 5*y = -l + 93. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - (-7 - (5 - 2))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/927, 4.56, 5\/6.\nAnswer: 1\/927, 0.4, 5\/6, 4.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:53 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 5 + 5 + 0*o - o + 2*o + 3*o - o + 0*o + (-1 - 2 + 2)*(-3 + 3 - 2*o) + 3*o + o - 3*o + 0*o + 3*o - 2*o)*(5*o - 4*o + o + 8).\nAnswer: 12*o**2 + 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 3*o, -2*g - 2*g = -3*o - 2. Let w = 3 + o. Let f(b) = b**2 + 3*b - 6. Is 17 a factor of f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 356050075 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -313 * -5.\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2\/19 - 4495102*u\/19 - 1498368\/19.\nAnswer: 2*(u - 749184)*(3*u + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1 - 4*c**2 + 1 - 3. Let w(v) = 4 + 1 - 6. Let z(h) = t(h) - 2*w(h). Differentiate z(x) with respect to x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-2 - -1)*-1. Suppose 3*w = -0*w + h. What is the units digit of -1*(w + -4) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -596 + 595.7. Which is the third smallest value? (a) m (b) -57 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 915223.\nAnswer: 915232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71240 divided by -5.\nAnswer: -14248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 71 - 71.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100303 (base 4) to base 7.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 4. Let p(z) = z + 1. Let k(d) = -d + 5. Let n(s) = -k(s) - 4*p(s). Give 2*n(x) - 5*v(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -591\nAnswer: 5\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1142994*i. Let c(f) = -f**2. Give c(p(x)).\nAnswer: -1306435284036*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46907 is divided by 15632.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1013201012 (base 4) to base 7\nAnswer: -2330015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlgz when four letters picked without replacement from {z: 4, g: 2, x: 2, w: 1, l: 7}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:41 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, x: 7}. What is prob of sequence qqx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6599.\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 1. Let i(j) = 1. Let k(a) = -a. Let w(z) = i(z) + k(z). Let t be w(s). Let x(r) = -r**3 + 6*r**2 - 4*r. What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6 and -19.\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-4 + 4 - (-5 + 15)) + 56 + -42)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, i: 2, o: 2, v: 4, k: 2}. What is prob of picking 1 k and 1 r?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**3\/i)\/i)\/i**(-3\/5))\/(i**0)**(1\/49))**(-2\/5) assuming i is positive.\nAnswer: i**(-16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 4*x + 2*x)*(76 + 117 - 327)*(3 - 7 + 3).\nAnswer: 134*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4709\/714 - 1\/(42\/4). Let n = q - 5. Put -1, 0, n, 0.3 in decreasing order.\nAnswer: n, 0.3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 - (-5 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1004296, 1004292, 1004288, 1004284, 1004280, 1004276?\nAnswer: 1004272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 - 185. Let h be 1 - l - (-1 + 9 - 9). What is the second smallest value in -2\/3, h, -2\/31, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8683 - 4481. Let v = b + -1219. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0*n**2 - 7*n + 0*n**7 + 0*n**5 + 0*n**6 + 1\/12*n**4 - 1\/28*n**8 + 0 + 0*n**3. Find the third derivative of s(b) wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/49 (b) 0.3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, f: 5, w: 1, x: 3, c: 2}. Give prob of picking 1 c, 1 p, and 1 f.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5*f + 25 = 0. Let i be (-19)\/f + 8\/40. Let x = 14 - i. What is the least common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((12\/2)\/24). Let b(f) = -10*f**3 - 8*f**2 - 20*f + 2. What is the units digit of b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.158749 + -4.840881. Let u = p - -53. What is u rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-49))\/(13\/(-166 - 16)). Which is the second biggest value? (a) o (b) 17\/2 (c) -3 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 70*l**2 + 280*l + 56. Let i(d) = d**2 + 5*d + 1. Let h(v) = -56*i(v) + z(v). Let y(j) = 15*j**2. What is y(h(k))?\nAnswer: 2940*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 128, 403, 944, 1841?\n\"Answer: 15*d**3 - 2*d**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(104) - ((sqrt(104) - 3*sqrt(104)) + sqrt(104))))\/(-5*(sqrt(336)\/sqrt(6))\/sqrt(7)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 22*x - 217 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(75) + -1) + -3)**2.\nAnswer: -100*sqrt(3) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -61*o**2 + 7*o - 60*o**2 + 10 + 122*o**2 - 5. Suppose 8*i - 12 = 10*i. Determine z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9506.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.551 + 37.361. Which is the nearest to 1? (a) -0.3 (b) 126 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27840.24 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*a - 26*a + 501*a - 97*a - 97*a - 75*a.\nAnswer: 137*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -393*a + 397*a + 64, -4*z - 5*a - 64 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqppyyypppypp. What is prob of sequence ypp?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39*f + 10. Let n(p) = 118*p - 29. Let u(y) = 11*h(y) + 4*n(y). Let q(s) = -s - 1. Let r be q(-10). Is u(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let u(p) be the first derivative of 17*p**5\/60 - 15*p**2\/2 - 12. Let y(j) be the second derivative of u(j). Calculate y(i(v)).\nAnswer: 68*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**2 - 2*p**2 - 24*p**2 - 3*p as y + d*p**2 + v*p and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 2*x - 2. Let r be 20\/8*((-84)\/(-15) + -2). Let h(s) = -r*s - 112*s**3 + 12*s + 111*s**3 - 3. What is 2*h(n) - 3*w(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7388 + 13027. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.04029 to 1 decimal place.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.4 less than 7.88428?\nAnswer: 104.28428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 17*z + 4. Let l be a(-9). Let f be (l\/((-156)\/16))\/((-2)\/3). Suppose -3 = -d, g - 5*d - 132 = -f*g. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169365244426 take away -8.8?\nAnswer: -169365244417.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16467.\nAnswer: 3, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7222)\/88 + 16\/(-88). Let h = -82 - r. Which is the biggest value? (a) h (b) -1.1 (c) 1\/6 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676734 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 = -7*z, q - 4 = -z. Let o = q + -4. Solve -2*l = -j - 5*l - 2, -3*j = -o*l - 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55656 + 10078 = -26*h. Is h a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-2)\/2)\/(-1). Let v(h) = h**2 + 18*h + 35. Let i be v(-10). Let k be 45\/(-44) - i\/60. Is k bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3459503.599979 - -3459502. Let p = -1.6 - g. Round p to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*1*(-2)\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 504\/(-6)*1\/2. Is s not equal to -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 843444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/152 and 73\/27944.\nAnswer: 530936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 6. What is m(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 290791308 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3 - 4) + (19 + -12 + -4 - 26)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m - 2. Let h be m\/3 - (-14)\/3. Let n(o) = 35*o**3 + 1. Let t be n(1). What is the highest common divisor of h and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f + 49*f + 4*f.\nAnswer: 65*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/95 + -208\/855. Let g be (0 - 1)*1\/(-5). Let m = -12 + 7. Which is the third biggest value? (a) g (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*l + 3 = 0, -5*r + 6 - 37 = -l for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/27*(411 - 482).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)*p**(4\/3))\/(p**(-2\/25)*p*p*p**(-15)*p))**44 assuming p is positive.\nAnswer: p**(316448\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x**2 + 60*x. Let c(s) = -s**2 + 2*s. Let b(q) = -30*c(q) + g(q). Let p(a) = -6*a. Calculate p(b(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/33*-11*(-4)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13111 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 k when three letters picked without replacement from {b: 2, k: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwqddndssddd. Give prob of sequence dqns.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2.5. Let q = 0.4 - o. Let d = -0.06 - -0.26. Sort q, -5, d in decreasing order.\nAnswer: d, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 - 140*k**2 - 528*k = 0.\nAnswer: -66, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/4 + 3*b**3 - b**2\/2 + 13*b + 1. Let l be k(9). Suppose -2*q + w = 2*q - 10, l*w = -4*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/531 and -143\/36?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -142, -146, -150, -154?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 5, -5, -446, 0.5, -4\/3, -0.03?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 + 2173910472*b - 393823895022605232 = 0 for b.\nAnswer: 362318412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 - 4*o + 7. Determine j(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1989\/4456 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 714 + -307. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 2. Let q(z) = -21*z - 10. What is 11*m(h) - 2*q(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -43, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/2 - (1 + -2833). Let n = h - 28377\/10. Calculate the common denominator of -107\/12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5605 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190.5 + -218. Let y = s + 27.4. Which is the closest to y? (a) -0.14 (b) -2\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/258 + (-79)\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000586764513 rounded to seven decimal places?\nAnswer: -0.0000587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 8 + 0*x**2 + 8 + 3*x**2 - 36*x**2.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**7\/70 + 3*s**5\/20 + 7*s**2. Find the third derivative of v(r) wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**4\/14 + 2*d**3\/21 + d**2\/7 - 2*d\/7 + 8. Factor u(a).\nAnswer: -2*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i + 3*u, 0 = 3*i - 0*u - 4*u - 8. Let f(t) be the third derivative of t**6\/120 + t**5\/60 - t**4\/24 + 22*t**3\/3 + 29*t**2. Does 22 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -39. Let d = -0.245 + 0.428. Let q = -0.117 - d. What is the third smallest value in o, 2, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/36386? (a) 0.4 (b) -0.5 (c) 2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - g + 4. Let x be h(3). Suppose j = -3*i - x, 14 = -j - i - 3*i. Suppose j = -d + 2*d. Let b(o) = -2*o**3 + 4*o**2 - 2*o - 1. Calculate b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiohcicogiigiohoi. What is prob of sequence hhoi?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 27, 47?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 5*g**2 - 2*g - 8. Let r be p(-5). Suppose -5*f - 6*x + 5*x + 74 = 0, r*f - 28 = -2*x. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2116 = -2161 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -55*x**3 - 2*x**2 - 2*x + 2. Let k(m) = -1539*m**3 - 57*m**2 - 57*m + 57. Calculate -2*k(o) + 57*u(o).\nAnswer: -57*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*k - 15*k + 16*k**3)*((0 - 3 + 5)*(-1 - 4 + 3) - 5 - 11 + 3 + 18 - 6 - 8) as z*k + m + f*k**2 + c*k**3 and give c.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93941 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(1\/8)*t**(-2\/57)*t**(2\/15)*t*t**(-21) assuming t is positive.\nAnswer: t**(-40531\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1. Let c(x) = 3*x + 29. What is -c(r) - 2*n(r)?\nAnswer: -3*r - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/(-55) - (295 - 300)*2\/(-55)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9023521 centuries to millennia.\nAnswer: 0.09023521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 14*c**2 - 8*c - 7. Let u(n) = 13*n**2 - 7*n - 6. Determine -6*s(g) + 7*u(g).\nAnswer: 7*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12247 is divided by 139.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 - 4. Let w(a) be the first derivative of 3*a**3 - a**2\/2 - 8*a + 1272. What is -5*v(y) + 3*w(y)?\nAnswer: 2*y**2 - 3*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 325*k - 6. Let w(y) = -638*y + 14. Let n(z) = 7*a(z) + 3*w(z). Let j(p) = -9*p**2. Calculate n(j(t)).\nAnswer: -3249*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*s + 115, -4*k + 0 + 55 = 5*s. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1 (b) -2 (c) 1\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 3760 and 3764 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -5*f**2 + 5\/4*f**4 + 0*f + 30 + 5\/3*f**3. Factor b(v).\nAnswer: 5*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 33 - 33)*(-147 - 238 + 114 - 153).\nAnswer: 424*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1487.748 centuries?\nAnswer: 148774.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/156289 and -109\/5810?\nAnswer: 1562890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(5)*3 + sqrt(180)*1 + (sqrt(450)*3)\/(-1*sqrt(90)) + 1.\nAnswer: 1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 6) in base 8?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w)**(-2\/19) assuming w is positive.\nAnswer: w**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 118, 117, 106, 79, 30, -47, -158, -309?\n\"Answer: -b**3 + b**2 + 3*b + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*c - 327*c + 110 = 0. Let r(t) = -2*t + 14. Calculate r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84587*x**3 + 3*x**2 + 149*x - 1 wrt x?\nAnswer: 507522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u - 864. Suppose 2*w = 3*w - u. Suppose 3*g - w = -0*g - 3*h, -3*g = -3*h - 246. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 - 42*g + 8*g in the form j*g + v and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 34*p - 4. Give i(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 48807690?\nAnswer: 97615380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 18*t**2 - 19*t + 10. What are the prime factors of m(-17)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -618*y - 795. Calculate the remainder when i(-5) is divided by 754.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 4*y**2 + 3*y. Let x be (-128)\/(-40) - 1\/5. Let f be k(x). Suppose 5*q - 172 + 7 = f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.4 + -1.4. Let f = 42.6 - i. Let v be (-2 + (-96)\/(-56))*(1 - 0). Put -5, -1, v, f in ascending order.\nAnswer: -5, -1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 + 3*h + 4 to the form t + k*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcdvdvccccdhc. Give prob of picking 1 h, 1 d, and 2 c.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-4*o - 3 + 3)*(4*o**3 - o**3 - 5*o**3).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13 - 15 = -4*g, 0 = 4*r + 16. What is the hundreds digit of 201 - g\/(27\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 + 5*j + 9. Let b(g) be the third derivative of g**5\/10 + g**4\/4 + 5*g**3\/3 + 45*g**2. What is -6*b(z) + 7*d(z)?\nAnswer: -z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(136) - (sqrt(136) + (sqrt(136) - (sqrt(136)*-1 + sqrt(136)))))*-2*1)\/(-6*sqrt(512) - (sqrt(512) + sqrt(512)*4)).\nAnswer: -5*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -720590, -720603, -720638, -720707, -720822, -720995, -721238?\nAnswer: -721563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 8*x - 3. Suppose j - 24 = 3*j + 5*c, 4*j + c = -30. Let z be s(j). Let b(n) = -3*n**2 - 2*n - 4*n**3 + 4*n**3 + n**3 - 2. Calculate b(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 7b74?\nAnswer: -7b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c3 - -7?\nAnswer: -2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*z = -23*z - 5625614. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((sqrt(32) - sqrt(2)) + -1)**2.\nAnswer: -6*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -16. Let j(g) = 18*g**2 - 2*g**3 - 41 + 20*g + g**3 + 48. Calculate the remainder when j(r) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*h - 236 = 30*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26500 and 45790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1100) + 0) + (1*sqrt(99)*2)\/sqrt(9))**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -11*r**5\/20 + r**4\/12 - r**2\/2 - r. Suppose -39*b - 595 + 634 = 0. Calculate f(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6417.98 * 0.5.\nAnswer: 3208.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 11*l + 11. Let h be z(-6). Suppose -5*t + 5*a = -2230, 15*t - h*t + 893 = -a. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u**2 + 20*u**2 - 40*u**2)*(13*u**3 - 120 + 120).\nAnswer: -91*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057278 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 107*z**5\/30 - 3*z**4\/8 + 2*z**3 - 21*z**2. Let n be j(4). Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1275 and 1989.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**8\/15120 - d**7\/3780 - d**6\/1080 + d**5\/270 + d**4 - 8*d. Let q(f) be the third derivative of z(f). Factor q(l).\nAnswer: 2*(l - 2)*(l + 1)*(2*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 17 = -3*h, -43*h - 51*h + 96*h + 34 = 5*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtncnggctgac. Give prob of picking 1 c, 1 t, and 1 a.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9765\/(-434)*(-2)\/3 + -18 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 3 (b) 2\/11 (c) -2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59006048454 - -59006044925.0001421. Let w = 3529 + f. What is w rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 466*m**2 - 1840*m - 1832.\nAnswer: -2*(m + 2)**2*(m + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30868 + -30867. Let r = 2 - 1. Let m = 1.9 + -2.2. Which is the closest to h? (a) 4\/25 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(1 - 4 + 1 - 4 + 4 - 2 + 0 + 0 + 2 + 2 + 0 + 0 + (1 - 2 + 3)*(2 - 2 - 2) - 3 - 2 + 4 + 2 + 2 - 5)*(3 - 3 - 2*w).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 92*w**2. Let d(a) = 0 + 20*a + 13*a + 5*a - 43*a + 3. Calculate m(d(x)).\nAnswer: 2300*x**2 - 2760*x + 828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 + -132?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r**2 + 66*r - 151. Let s(u) = 9*u**2 - 44*u + 101. Let y(c) = 5*f(c) + 7*s(c). Let o be y(3). Solve 2*b + 3*x - 11 = o, 0*b = -b - 5*x + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4 - 1\/3*h**5 + 0 - 4*h**3 + 0*h - 8\/3*h**2 = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**5\/20 + g**4 - 86*g. Solve t(r) = 0 for r.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2. Let c(z) = -22*z + 2575. Calculate g(c(x)).\nAnswer: -484*x**2 + 113300*x - 6630625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u + 139. Let r(n) = 59*n + 558. Give -9*g(k) + 2*r(k).\nAnswer: k - 135","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 1. Suppose -37*q + 40*q - 75 = 0. Let k = q + -22. Let y(t) = 2 + 2*t + 1 - 4. What is k*n(r) + 4*y(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 - 47 = 51*y + 218 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346369?\nAnswer: 346369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7528 divided by -3764?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**5 - t**3 + 1. Let f(j) = 4*j**5 - 10*j**4 - 15*j**3 - 14*j**2 - 4*j - 3. Let r(v) = -2*f(v) - 6*m(v). Solve r(x) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f\/f**17))\/f)\/f*f*f*f**(3\/31)*f)**(5\/3) assuming f is positive.\nAnswer: f**(3115\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 11) to base 12.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + -0.11979. What is v rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 349*v**2 + 18*v + 14. Let d be r(-1). Let c(f) = f**3 + 3*f**2 - 2*f - 2. Let b be c(2). Let m = d - b. Is 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 9:09 AM and 6:47 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*t - 369*t - 382*t - 2 + 1413*t - 377*t.\nAnswer: -84*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (-3 + 0) - 4. Suppose -4*q + 3*j - 91 = -8*q, 115 = n*q + 5*j. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 2610.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**5 - 15*v**4 - 5*v**3 + 15*v**2 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -14*h. Suppose 33 = -f - 2*z - 3*z, 5 = -5*z. Let k be f*(-2)\/12*3. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-6)*(-320)\/(-60)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (-168)\/35)\/(9\/(-60)). Let c(q) = -9*q - q**2 - 28 + 3*q**2 - q**2 + 25. Give c(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 403 - 404. What is the third biggest value in -3, -4, g, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41059 and 147.\nAnswer: 41206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, s: 10}. What is prob of sequence rsss?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 90 - 172 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 38) + -14 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552970090.\nAnswer: 2, 3, 5, 11, 7736273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/138 and 81\/2474?\nAnswer: 170706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 12*r**2 + 11*r + 22. Let z be (-2 - (12 + -12)) + 12. Determine t(z).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8) - (1 + -2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -v - 895, 2*k - 7*v + 1793 = -12*v. Let h = 74 - k. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/15 (b) 2\/11 (c) -36 (d) 9 (e) -51 (f) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(sqrt(1584) + 2 - (-4 + (sqrt(11) - sqrt(396)) + sqrt(11))).\nAnswer: 36 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 475\/17 or -1?\nAnswer: 475\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.014 - 10.8. Let o = j - 0.076. Let v = 0.13871 - o. What is v rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135125\/(-1265) - -107) + (-3)\/((-462)\/82)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/(-21)*32*102\/1088*(-21)\/27. Factor -4\/5*d + 4*d**2 - 37\/5*d**3 + 0 + o*d**4 - 9\/5*d**5.\nAnswer: -d*(d - 1)**2*(3*d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62.4 + 62. Sort 47, 0, x, 1\/4.\nAnswer: x, 0, 1\/4, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000059041214 to 7 decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3439493, -6878984, -10318475, -13757966?\nAnswer: -17197457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48572, 7, 0, -46 in decreasing order.\nAnswer: 48572, 7, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12975 + -12977. What is the closest to 0.2 in -1\/3, c, -3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 + 30 + 8 + -4 and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17\/5, 4\/7, 1\/8?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62666? (a) 0.3 (b) -2\/5 (c) 0.0912\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:20 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.4 times 1060778?\nAnswer: 35429985.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 9:19 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -162, -7.\nAnswer: -162, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**2 + 116*l**2 - 28*l**2 - 56*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 2. What is v(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a94 + 4?\nAnswer: a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 1. Let d be y(-6). Let s be -1 + -1 - d*1. Let b = -155\/4 - s. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Suppose -5*s + 25 = -20. Let v be ((-15)\/(-10))\/(s\/(-12)). Put z, 5, v in ascending order.\nAnswer: v, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*k - 212*k + 4 + 111*k - 4.\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203 - -2?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 1 + 11. Solve 4*w + 11 = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 24*r + 41. Let s be t(23). Let h(v) = -v - 1. Let k(q) = 4*q + 4. Give s*h(x) + 4*k(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127595230 - p - 127595230.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:18 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/90 and -23\/30400?\nAnswer: 273600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 5*t - 42. Does 31 divide i(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281600 to the nearest 1000.\nAnswer: -282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/9 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, -1845, -8023, -20503, -41385, -72769, -116755, -175443?\nAnswer: -250933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 37202771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 + 17*o**5 - 5*o**5 + (-4*o**4 - 5*o**2 + 5*o**2)*(4*o + 0 + 4 - 6) - 37*o**3 - 11*o**5 + 37*o**3.\nAnswer: -11*o**5 + 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/531 and 127\/498.\nAnswer: 88146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2. Let r(z) = -3 + 1 + z**2 + 2. Give r(g(y)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 180 = -48*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 9*s + 25. Suppose 2*w - 38 = -4*m, -s*w + 0*m + 4*m + 25 = 0. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7873.075 centuries?\nAnswer: 9447690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113033232 (base 4) in base 13?\nAnswer: -c6871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1749702 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587 a factor of 246234159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51918*n + 43775*n - 64344*n.\nAnswer: -72487*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21*c - 685680 = 0. Let u = -58184 - c. What is u rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/2)\/(-3)*-4. Suppose -r = -2*k - k. Let t(c) = -3*c + c + 2*c**3 - 56 - c**2 + 57. Give t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*l - 4*l. Let k = 1 - 4. Calculate the remainder when l is divided by 19\/3 - (-1)\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvjsljovllvjosljv. Give prob of picking 2 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11305789.34 - 2.12795\nAnswer: 11305787.21205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13911757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(2\/(-48 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**3 - 13*n**2 - 315*n**3 - 152*n**3 + 101*n**3 - 234*n**3.\nAnswer: -561*n**3 - 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1)*(-12)\/2. Let h be 49 - m\/9*-3. Suppose w - h + 7 = 0. What is the remainder when 75 is divided by w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -27130*p**2 - 91*p + 8. Let d(t) = 18086*t**2 + 57*t - 5. Calculate -8*d(n) - 5*y(n).\nAnswer: -9038*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 9) + 7 + -5. Let q(b) = 2*b**3 - b**2 - 4*b - 115. Let p be q(g). Which is greater: -117 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 21*m**2 + 2368*m + 12*m**2 - 2368*m + 16*m**2. Let z(w) = w**2 - 3*w + 3. Let g(i) = 1 - 3 + 3 - i. Let h(u) = -3*g(u) + z(u). Determine o(h(k)).\nAnswer: 49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(405) - (1 + sqrt(405)))*4 - sqrt(405)) + -4)**2*-6.\nAnswer: 864*sqrt(5) + 2814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 911121 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 8*r = 120. Let q be (6 - r\/4) + -5. Suppose -h = -0*h + 1. Sort h, 32, q in ascending order.\nAnswer: q, h, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1567\nAnswer: 6\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 8*y + 9. Let i be n(9). Let d = i - 103. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 50 + 47 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/7)\/(455\/(-1911)*(-162)\/(-135))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010277967 to 7 decimal places.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/12 + b**3\/6 - b**2\/2 + 3*b. Let q be w(-3). Let u = -11 - -6. Sort q, u, 0.\nAnswer: u, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + 0.13. Let w = -13.5 - -13.6. Let r be ((-1)\/(-2))\/((-1)\/2). What is the nearest to -1\/4 in n, w, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 - -226. What is the least common multiple of q and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85963369?\nAnswer: 85963369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 0.1 in ascending order.\nAnswer: -19, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.39 + 3.49. Let g = 3 - r. Let v = 2.767 - 2.267. Which is the third smallest value? (a) v (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9505479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.5 - 26.2. Let h = 13 - 6.4. Let y = h - j. What is y rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502616689 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3911.102kg?\nAnswer: 3911102000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95\/6548 - -42465\/247187. Calculate the common denominator of -48 and y.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) + (sqrt(65) + -2*sqrt(65))*2 - sqrt(65)) - 1*sqrt(65)*6)\/(sqrt(245) + sqrt(245) + (sqrt(245)*-2*-2 - sqrt(245)) + sqrt(245)).\nAnswer: -sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -38*x**3 - 2*x**2 + 2*x. Let i be d(1). Let z = i + 41. Solve -8 = k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(m**3 - 61*m - 58*m + 2 + 4*m**2 + 84*m) as z*m**3 + c*m + l + o*m**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 + c**2 - 3*c - 7. Let w(k) = 54*k**3 - 170*k + 171*k - 55*k**3. Let y(x) = -5*w(x) - z(x). Give y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Let z be a(1). Suppose 2*q - 15 - 3 = 0. Suppose -o = -z*o + q. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201 - 189. What is the highest common factor of 51 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - -0.08. Let k(q) = -q**2 - 7*q - 1. Let o be k(-6). Let b = 10 - o. What is the smallest value in 2, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49618884, 99237771, 148856660, 198475551, 248094444, 297713339?\nAnswer: 347332236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/6 + (1 - -104). Suppose 142*j - 441 = 149*j. Let y = o + j. What is the common denominator of 33 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -33*z**3 + 59*z**2 - 3. Let f(x) = 67*x**3 - 119*x**2 + 7. Let r(a) = -3*f(a) - 7*l(a). Find the third derivative of r(j) wrt j.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 14394*q**2 + 1863 + 14392*q**2 - 28786*q**2 in the form v*q**2 + n*q**3 + f*q + z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:39 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3918*n - 453738 - 66311 = 1231*n for n.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/16)*q**(7\/4) assuming q is positive.\nAnswer: q**(29\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -7, 2, 36, -8 in decreasing order.\nAnswer: 36, 2, -7, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by (-2)\/(4\/14*5\/(-10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -12, 0 = 2*s - 5*y + 2*y - 49. Suppose h - 24 = -2*h. What is the least common multiple of s and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*k**4 - 1899*k**3 - 2614*k**2 - 884*k - 88 = 0. Calculate k.\nAnswer: -22, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 710 and (68143\/415 - (0 + 8))*5?\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.6457 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 2*n**2 + n**2 + (n + 0*n - 3*n)*(n + 0*n - 2*n) - 4*n + 4*n + n**2 + 11*n**2 + 91*n**2 + 82*n**2.\nAnswer: 186*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/15 (b) 0.4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/3 - 2*j. Let c(u) = 4*u + 2. Let f(y) = 253*y + 132. Let s(z) = 66*c(z) - f(z). Calculate x(s(g)).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-2)\/205)*2*89. Let w = i - 32645. What is w rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2858*r - 115. Let b(i) = -i + 39. Calculate 3*b(n) + c(n).\nAnswer: 2855*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*c + 2*c - 55, 4*c = 3*a + 44. Let b be (-2)\/5 + (-1344)\/(-35). Let h = b - c. Calculate the highest common factor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 16 = 39. Suppose 0*f + 4\/11*f**4 + 0 + 2\/11*f**3 + 0*f**2 + 2\/11*f**a = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8004*q**2 - 1058*q**2 - 1150*q**2 + 15*q - 4*q - 2431*q**2.\nAnswer: 3365*q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 11 = 3*n, 2*c - c = 2*n - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15018.802 + -15031. Let k = h + 0.198. Which is the nearest to k? (a) -1\/3 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*d - 113405 = -19410, 5*d = -3*n + 281975. Suppose 0 = 3*y - 2*t + 56396, -5*t + n = -9*y + 4*y. Round y to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 53. Suppose -13*m - t = -20*m. Suppose 5*p - w = 38, m*w + 26 = 3*p + 3*w. What is the highest common factor of 56 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(54\/45*(-1 - ((-4380)\/816)\/5)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 33*c**2 - 2*c**3 - c**3.\nAnswer: -3*c**3 + 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 325.4909mg?\nAnswer: 325490900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1870\/693 - 98\/63\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(5\/3))**26)**(-25))**26 assuming u is positive.\nAnswer: u**(-84500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 5*j - 44 = 0. Let w be (j\/4)\/((-34)\/16 + 2). What is the greatest common divisor of w and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811966 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2529)\/(-7) + 4*(-2)\/28. Let p = 421 - m. Let r = -25 - -86. Is p < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 90?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*z**4\/5 + 190128*z**3\/5 + 849197*z**2 + 352842*z\/5 + 7344\/5 = 0.\nAnswer: -306, -24, -1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 11:36 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(2*(-3)\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-504)\/(-12))\/(-2))\/(-1 - 0). Let v = -3 - -6. Let h = v + b. Solve 4*u = 4*y, 4*u + 3*y - h = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 4, 1, 7 in decreasing order.\nAnswer: 7, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 30*f**2 + 332*f + 27. What is u(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0013 - -332101.\nAnswer: 332100.9987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 11) to base 8.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -299\/28 - -5\/28. Suppose -2*m = 3*o + 35, 7*o - m = 2*o - 41. Calculate the common denominator of ((-3)\/o)\/(4\/510) and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -370, -840, -1500, -2350, -3390, -4620?\n\"Answer: -95*k**2 + 5*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2215325 + 124?\nAnswer: 2215453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121.8 - 122. Which is the nearest to -1? (a) g (b) 5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 376460.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-9 + 1 - -7) - 7) + (-49 - -13).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670260 is divided by 134052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -515?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 46532710*o - 232663425.\nAnswer: -5*(o - 9306537)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.1737?\nAnswer: -0.3474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 119018.606 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -50*z + 21*z. Solve -1 = -d - z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 5*s**2 + 5*s - 5. Give i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1638 = 52*y + 11*y. Solve -85 = 9*d - y*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57498614*h + 2302787.\nAnswer: -57498614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1683*f - 182*f = -76*f - 76927 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3767608*g**3*m + 3*g**3 - g**2 - 18653 with respect to m.\nAnswer: 3767608*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-12))\/((-1)\/3) - (-70)\/28. What is the highest common divisor of x and 237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, i: 9}. What is prob of picking 2 i?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641171 is divided by 160282?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2 + 14. Let g be 3 + -3 + r\/38. Let t = -5.07 + 4.57. Which is the closest to -2\/3? (a) t (b) g (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 35500000 = -a. Round a to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3) - (-23464)\/1257.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 1582 = -1642. Let r = z - -558. What is the greatest common factor of 62 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35299898129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2695, 4128, 5557, 6982, 8403?\nAnswer: 9820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -23*l + 19*l. Let w be (-3 - -4) + (28\/(-2))\/l. Suppose -w*f + 585 = 5*f. What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10064)\/(-5661))\/((-338)\/(-117))?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-264)\/(-18)))\/((-6)\/(-64)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 1 (c) 1\/1463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1279362835, -1279362837, -1279362839, -1279362841?\n\"Answer: -2*s - 1279362833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:32 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + sqrt(891))*6 + (sqrt(891)*1 + -4)**2 + (2*sqrt(121)*-1)\/(-2*2*sqrt(11) - sqrt(11))).\nAnswer: -907 + 88*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 2 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 + 3*f - 4. Suppose 15*r - 7 = 22*r. Let q = 9 + -13. Let u(o) = o**2 - o + 1. What is q*u(y) + r*w(y)?\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629103 to the power of 1\/2, to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -17 + 3 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5075670.\nAnswer: 2, 3, 5, 89, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r + 12*r + 38*r**3 + (-r + 3 - 3)*(2*r**2 - r**2 - 3*r**2) as y*r**2 + z*r + a*r**3 + p and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14528148?\nAnswer: 2, 3, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000110 (base 2) to base 15.\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*h + 550*h + 476*h = -7512 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919185?\nAnswer: 3, 5, 233, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 0.4.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 1. Let f(k) = 10*k - 12. Let d(r) = f(r) - 6*s(r). Let v(j) = -j + 1. Give -3*d(t) - 14*v(t).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2280 and 3743.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1610963225 by -3.\nAnswer: -1610963225\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 + -3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2709.9 to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24055430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 7*i**2 + 4. Let k be s(-7). Let q(l) = 8*l - k*l - 6*l. Let y(o) = -o**2. Calculate q(y(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416832 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -50*s - 16. Let h(o) = 36*o + 11. Let v(i) = -7*h(i) - 5*m(i). Give v(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/5 in -0.3, -0.5, 0.112, -3, 22, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 4*j**2 + 3*j**2 + (5*j - 6*j + 0*j)*(0 + 0 + 2*j) - 2 - 2*j**2 + 2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 - q - 3. Suppose -4*o = 7 + 1. Let a be g(o). Suppose -13*p = -a*p + 324. Which is greater: p or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 131.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 5*d - 3*d)*(6*d**4 - 6*d**3 + 6*d**3).\nAnswer: 48*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 3*v. Suppose v = -12*r + 24. Solve -5*t = -r*p + 21, -4*t - 16 = -3*p + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 11*a + 4*a - 130 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1092 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -73276 divided by 7?\nAnswer: -10468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2. Let k(l) = -3*l**2 - 5. Let x(r) = -4*r**2 - 6. Let q(d) = 6*k(d) - 5*x(d). Determine w(q(g)).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 5*p = 20. Which is greater: 1\/430 or p?\nAnswer: 1\/430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/9 - 1472*d\/9 - 164.\nAnswer: 4*(d - 369)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/29, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60196422, 120392843, 180589268, 240785697?\n\"Answer: 2*r**2 + 60196415*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-135)\/72)*3 - -53305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/155 - 10\/31. Let f = 38.4 + -38. Let l = -2.4 + 2. Which is the nearest to j? (a) -2\/3 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 2300785 = 2301471 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9965, -19922, -29871, -39812, -49745?\nAnswer: -59670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*b**3\/7 - 270*b**2\/7 - 824*b\/7 - 24\/7.\nAnswer: 2*(b - 6)*(b + 2)*(34*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8671144.\nAnswer: 2, 19, 57047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/((-2*sqrt(2) - sqrt(2)) + sqrt(2)))**2 + sqrt(57)\/sqrt(243).\nAnswer: sqrt(19)\/9 + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000198619 to six dps.\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -773b6?\nAnswer: 773b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2. Let g(d) = -144*d**2 + 27. Let c(m) = 11*m**2 - 2. Suppose -21 = -2*w + 33. Let n(x) = w*c(x) + 2*g(x). Calculate z(n(f)).\nAnswer: -162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24541112.\nAnswer: 2, 3067639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -110*l - 230*l + 1 + 87*l. Let h be (2\/4)\/(-1*(-3)\/(-6)). Is q(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12869 - 262. Does 71 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245198484 greater than or equal to 245198483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + -0.3. Suppose 2*q + 0 = -4*u + 8, 2*u + 2*q - 2 = 0. Suppose 4*o = -u*v + 3, 4*v + 7 = 2*o - 11. Is v equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 10*v + 3. Let w be 4*1 - 1 - 21\/(-3). Let r be g(w). Suppose 2*k - 113 = 3*s, -r*k + 3*s = -0*k - 168. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2564, 5127, 7686, 10241, 12792?\nAnswer: 15339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23385508 and 1974.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8*o = 10*o + 143, -5*o - 24 = -q. Solve -16 = 33*t - q*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.991 from -7979.\nAnswer: -7978.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6697044 - 2426?\nAnswer: -2425.3302956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from kvkvkkkkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 + -713\/5. Let c(f) = f + 1. Let z be c(4). Suppose -t + z*t = -4. What is the second biggest value in i, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*y = -12, -y - 4*y = -3*f - 48. Let h be ((-35)\/f)\/(2\/(-6)). Let t = 0.94 + -1. What is the closest to -2 in -0.5, t, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/7 - 262145*i\/7 - 1235982 = 0. Calculate i.\nAnswer: -33, 262178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 23505*h - 23505*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164\/3 - 54. Let p(h) be the first derivative of h**2 - 2\/3*h**3 - s*h + 1\/6*h**4 - 3. Solve p(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 a factor of 498370102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -303, -271, -217, -141?\n\"Answer: 11*d**2 - d - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:48 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9742957 litres to millilitres.\nAnswer: 974.2957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.57805 weeks in nanoseconds?\nAnswer: 37847204640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3715\/23 or -163?\nAnswer: -3715\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 863766 and 2538?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b = -254 + 1010 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvyytv. Give prob of picking 1 n and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 42. Suppose -4*p - 1 = -3*w, 0 = -8*w + 5*w - 2*p + 13. Suppose a + 14 = w*b. Solve -20 = -b*s + 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 549*b**3 + 724*b**2 + 281569*b wrt b?\nAnswer: 3294*b + 1448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-78)\/351)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 13*a**8\/280 + 43*a**7\/350 - 7*a**6\/200 - 41*a**5\/100 - 19*a**4\/40 - a**3\/5 + 6*a**2 + a. Suppose j(t) = 0. Calculate t.\nAnswer: -1, -1\/2, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) - 1116\/10416*92\/(-9)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 16281.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3958, 0.07, -2\/81 in decreasing order.\nAnswer: 0.07, -2\/81, -3958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/18 - (-8)\/(-36). Suppose 2 - 8 = t*v. Let a = 2.6 - 0.6. What is the closest to 0.1 in v, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32023080?\nAnswer: 2, 3, 5, 149, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 3:34 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.8 - 10.79949. Round j to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (137*a - 307*a - 120*a)*(-9*a - 16*a - 9*a) as m + x*a**2 + r*a and give x.\nAnswer: 9860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1855*l + 6454. Let t be c(6). Put t, -2, 1 in decreasing order.\nAnswer: 1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18 < -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 118982330989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*s - 18, 5*s - 2*o + 16 = 3*s. Let i(p) = -p**2 - 7*p + 8. Let q be i(s). Suppose -9 = -2*g + 7. Solve 0 = -4*u - q - g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1127682, -1127681, -1127680, -1127679, -1127678, -1127677?\n\"Answer: l - 1127683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 47*g**4 + 4*g**2 + 46*g**4 - 3*g**2 to the form j*g**4 + l*g**2 + a + d*g + o*g**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*1)\/sqrt(6))\/(sqrt(99)\/sqrt(144)) - (sqrt(12)\/sqrt(150) - (-1 + sqrt(2)*-2)))**2.\nAnswer: -18*sqrt(2)\/5 + 187\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaacaaaacaaaaa. Give prob of sequence aaac.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6530 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 6*b**2 - 7*b + 3. Let v be h(-6). Let z = 57 - v. Suppose 0 = -z*c + 3*c. Solve 2*k + 8 = -c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 4\/7, 7 in descending order.\nAnswer: 7, 4\/7, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 681, 1024?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 178 and 695634?\nAnswer: 123822852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9552806?\nAnswer: 2, 4776403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-2 - -3 - 7) + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3193\/310 + (-39 - -29)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2 + -1)*-1. Solve 3*d - 15 = -z*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1939*r + 6003*r - 1398*r - 39460 + 163796 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11111*d**3 + d**2 + d - 3. Let j be i(-3). Round j to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89028 and 360.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 less than 29.6?\nAnswer: 143.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**3 + 3*o**3 - 2*o**3)*(3*o - 4*o - o) + (-4*o - 2*o + 4*o)*(o - o + o**3) - 18*o - o**4 + 18*o to k*o**2 + w + z*o + g*o**4 + q*o**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(3 - -1) - -1)\/6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31102251 and 6172.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 2279867?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152256 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 0 = y + 2. Let w(j) = 3*j**2 - 1. Calculate the least common multiple of p and w(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4 - 111*a**3 - 1019*a**2 - 909*a = 0?\nAnswer: -101, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 16. Let i be (4*1)\/((-6)\/j). Suppose 6*d - 4*d - i = 0. What is the remainder when 8 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 46*z + 34 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:05 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -1 + 7 + 6 - -11) + -63.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2260 take away -0.2?\nAnswer: -2259.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*p - 74*p + 44*p + 25894. Calculate the greatest common divisor of 8 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ffeiebfeqeffjeb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/11)\/((r*r**(-1\/3)*r*r)\/r*r))**21)**(2\/55) assuming r is positive.\nAnswer: r**(-1358\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -16, -7, 2, 11, 20?\n\"Answer: 9*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31623 (base 7) to base 9.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.68871 months in millennia?\nAnswer: 0.0015573925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -273354.139154 - -0.4?\nAnswer: -273353.739154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 35503 = 10377. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 7:33 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j. Let n(f) = 8*f**2 - 2. Give n(x(l)).\nAnswer: 72*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7128174720 to the nearest 1000000.\nAnswer: -7128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.014, -2\/9, 2, -6 in ascending order.\nAnswer: -6, -2\/9, 0.014, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 486\/(-18) - -15 - (-2 - 3). Sort -2\/39, s, 13.\nAnswer: s, -2\/39, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29192*a**4 - 10*a**3 - 704393*a**2 wrt a.\nAnswer: 700608*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 g when four letters picked without replacement from rmgrmmmmmrmglrm?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**2 - s - 1. Suppose -3*z + 0*o - 6 = o, -3*z - 3*o = 12. Let y be (z - 1\/(-2))*-6. Give m(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 21. Let y be s(-11). Suppose y*b = 51*b + 9. Solve -b*x + 9 = -6*x, 0 = -4*n - 5*x - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298 smaller than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + -4*sqrt(343)*1))**2.\nAnswer: 137200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 201*n - 1034. Determine j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62301 - -62141.305. Let t = h + 160. What is t rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 9*o**4 + o**4 - 2*o**3 + 2*o**3 + (o + 4*o - 3*o)*(5*o**2 - 5*o**2 + 2*o**3) + 2*o**4 + 1 - 1 + (10 - 196 - 5)*(2*o**4 - 4*o**4 - o**4).\nAnswer: 589*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(-3*z + 6*z + z)*(-3*z**2 + 2*z**3 + 3*z**2).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6165 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: Simplify ((m\/(m\/(m\/(m*m*m**(-9)))))\/(m\/(m*m**(-1\/3))*m))\/(m**(1\/3))**2 assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 127*r + 62*r + 5 + 65*r.\nAnswer: r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 16*n - 42. Give b(4).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41152?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2532 and 598396.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12316745 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -257, -271, -285, -299?\n\"Answer: -14*u - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-20 + -1 + 0) - -16.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/((sqrt(7) + sqrt(63))*-5)*-6)**2.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18*n**2 + n + 5. Let b(i) = -18*i**2 - i - 4. Determine -3*b(g) - 2*p(g).\nAnswer: 18*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/((-48)\/8*270\/900)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llfjlpjlajjjj. Give prob of sequence aj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 1, e: 3, u: 3, d: 1}. Give prob of picking 1 e, 1 y, and 1 u.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.8 - -0.2. Let a = -4.4 + w. What is the nearest to 1\/2 in a, 5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 + 2*f**3)*(3 - 3 + 3*f)*(1 - 12 + 2)*(-4*f + 8*f - 7*f).\nAnswer: 162*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/544? (a) 0 (b) 2 (c) -2.678\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70008959, -70008960, -70008961?\n\"Answer: -n - 70008958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 3*z**2 - 7*z + 3. Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610488 is divided by 179.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:31 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 - -1.7. Suppose -k = g - 2, -2*k = -0*k - 4*g - 22. Which is the third smallest value? (a) j (b) 3\/7 (c) -25 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 34*x + 66*x - 2 - 1 - 35*x.\nAnswer: -3*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 - 85 - 44)*(3*x - 6*x + 2*x).\nAnswer: 332*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + 21*r)*(0 + 4 - 3)*(r - r - 2 + 3*r).\nAnswer: 63*r**2 - 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 + 394*p + 13066. Let b(y) = -120*y**2 - 5121*y - 169857. Let g(d) = -2*b(d) - 27*l(d). Determine m so that g(m) = 0.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*h - 359 + 1070 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -6. Let m = v + 6. Let d = 0.57 + -2.57. Which is the biggest value? (a) d (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 11 + 19. Suppose -f*s - 9 = -504. Calculate the highest common factor of 66 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7062 + -7055. Suppose 0*t + 245 = 5*t. What is the highest common factor of q and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2127349001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10352820 by -3.\nAnswer: 3450940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.058 + 0.058. Let b = 0.1 + 0. Let z be -2*3*3\/(-6). What is the closest to b in z, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -2490, 0, -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, y: 9, b: 2}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*r)*(-4*r**2 - 297*r**3 + 217*r**3 - 2*r**2) as f*r**4 + z*r + x + m*r**2 + h*r**3 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -2.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j - 3*p = -6, 4*j = -3*p + 11. Suppose q - 40 = -2*f + 7*f, j*q - 2*f = 131. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200 + 25451150?\nAnswer: 25451350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -176475 (base 10) to base 14\nAnswer: -48455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2435.804 - -2430. Let g = t - -0.104. What is g rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Suppose v*g = -2*f + g + 19, 3*f - 30 = -5*g. Solve -10 - 5 = f*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + -1. Let s = -34 - g. Suppose 3 + 1 = -q. What is the second smallest value in s, q, -2\/5, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -4a76?\nAnswer: 4a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 87 + 40 - 444*q**2 + 3948*q**2 to the form s*q**2 + i + j*q and give s.\nAnswer: 3504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53862, 107725, 161588, 215451, 269314, 323177?\n\"Answer: 53863*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-13 - -11)\/(6\/(-1008))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/5 - 0)\/(11088\/(-27720)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*j**3 - 41*j**2 + 374*j**3 - 50*j**2 + 2.\nAnswer: 806*j**3 - 91*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*w + 45. Let l = w - 9. Solve 4*a + 0*a + 16 = 4*o, l = 5*a + o - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 795 by 265.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l**(-32\/7)\/l)))\/l)\/(l*l\/(l**(-14\/13)*l)*l))\/((l*(l\/(l\/(l**33\/l*l)*l))\/l)\/l**19) assuming l is positive.\nAnswer: l**(-2061\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5356764 divided by -765252.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1571502, 3143008, 4714514?\nAnswer: 6286020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 3*r + 2*r)*(-4 - 4 + 12) + 2*r - 3*r + 0*r + (2 - 6 + 2)*(-2*r + 2*r + 2*r) to the form m*r + y and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11342 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -1)*3)**2.\nAnswer: -198*sqrt(13) + 14166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14508 and 49790?\nAnswer: 49789.85492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) -2\/143 (d) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {l: 1, d: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3644145 and 64\/66323439.\nAnswer: 331617195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*s - 34493 = 414*s - 94931 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104009577 is divided by 265?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 24*d + 3. Suppose -13 = -5*h - 3*x, 3*h = 4*x + 1 + 1. Let i be j(h). Suppose 0*u = -u + i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 2*t**2 - 3*t + 4. Let f = 5 + -1. Suppose 3*p - 7 = -2*m - 28, -3*p - 27 = f*m. List the prime factors of b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*x + 20 = 0, 5*j = x + 2 + 31. Let u(w) = -w + 16. Let o be u(j). Solve -2*p - p + o = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-50))\/((-8)\/5)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/47? (a) -2\/19 (b) 3 (c) 88\/47 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142511502 (base 6) in base 15?\nAnswer: -3ce19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlllzlllrzlrllll. Give prob of picking 1 l and 1 r.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106\/(-742) - (-176)\/7. Solve -3*f = -2*s - 20, 5*f + 2*s + 3*s = c for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((1*2\/(-1))\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + (sqrt(1300) - (sqrt(1300) + 1)))*-3 + 3)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213542005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317264 is divided by 158627.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/4 - 9*v**2 + 60*v + 400 = 0.\nAnswer: -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2*n - 73*m*n + 286*n wrt m.\nAnswer: 2*m*n - 73*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 660778226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010243 times -52.5?\nAnswer: 0.5377575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 + 2*z**2 - 1. Let a be k(1). Let r be (0*(2 - 1))\/a. Suppose -y - y + 24 = r. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60819947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1834*o + 14708. Let i be y(-8). Solve i*d - 68*d + 128 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(133) + sqrt(133) + (sqrt(133) + -2*sqrt(133))*-1))\/((sqrt(77)*1 - sqrt(77))\/sqrt(11) + 1*sqrt(448)) + -5)*-6.\nAnswer: 30 + 45*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40100089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 12*k = -1386. Let v(t) = t**3 - t - 35. Let f be v(0). What is the units digit of k\/f*(-3 + 28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -2\/27, -0.4, -1 in descending order.\nAnswer: 103, -2\/27, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3375 and 1456029.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 71 + 1 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/7 + 132*q**3\/7 + 2930*q**2\/7 + 7836*q\/7 + 720 = 0.\nAnswer: -15, -2, -1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 45 = 7*k - 2*k, 0 = -3*k + 2*m + 27. Let w(b) = -b**2 + 12*b - 28. Let r be w(k). Is 14 a factor of -2 + 128 - (-4 - r - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-9)\/6)*120. Suppose -2*p - v = -3*p. Suppose 2*t = -3*t + p. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -4\/22795739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8*g - 216 = -116. Solve -5*r = 3*s - g, 0*r - 29 = 4*r - 5*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*a + 480 = -162*a + 5898. What is the remainder when 6928 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 35?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -6 (c) 16 (d) 5 (e) 4 (f) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + 2*((sqrt(972) + -2 - sqrt(972)) + sqrt(972)))**2 - (2*sqrt(243)*-6)\/sqrt(9)) + -2.\nAnswer: -396*sqrt(3) + 8762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4986 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046573858 to 6 decimal places.\nAnswer: 0.000466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7885.\nAnswer: 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 5. Let d be m(8). Let i = -4 - d. Let o = 3 + i. Solve -4*p = -o*l - 8, p - 4 = l - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084399?\nAnswer: 157, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - (-6 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)*(-2)\/4. Let c = 126 + -122. Is c greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -38. Let n be ((-3)\/2)\/(21\/(-1078)). What is the greatest common factor of n and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 43*x - 4482 = 42*x, 2259 = v + 5*x. Let l = -1327 + v. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 12*j - 11. Give c(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5527553078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394a5a (base 11) to base 16.\nAnswer: 97bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5623*n**3 - 6565 with respect to n.\nAnswer: -16869*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175391*i**6 - 30*i**5 - i**2 + 11078319.\nAnswer: -21046920*i**3 - 1800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36751 is divided by 1595?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16713283*p**3 - p**2 - 3*p + 915149?\nAnswer: -100279698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 637\/3 - 212. Let o(y) be the third derivative of 0 - 5*y**2 + 0*y - f*y**4 + 1\/15*y**5 + 0*y**3. Find v such that o(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 84?\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9273016 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 10*r - 19*r**2 + 18*r**2 + 5*r.\nAnswer: -r**2 + 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w)*(-2*w + 2*w - w) - 1 + 1 + 3*w**2 - 2*w**2 + 5*w**2 - 2*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1177 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 3*u**2 + 4. Let g be o(-3). Suppose g*y - 70 = 4*p - 230, -5*p + 3*y + 192 = 0. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 2. Let c(m) = 8*m**3 + 15*m**2 - 6*m + 7. Let u(z) = -7*z**3 - 14*z**2 + 5*z - 8. Let b(x) = -6*c(x) - 7*u(x). Let i be b(-8). Give a(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/869 and -127\/4740.\nAnswer: 52140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.853 - -0.147. Which is the fourth smallest value? (a) -2 (b) t (c) 2\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*w**3 - 3516900*w**2 - 390476111 wrt w?\nAnswer: 21*w**2 - 7033800*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r**3 - 2*r + 68*r**3 + 88 - 88.\nAnswer: 9*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*q - 87, 3*v + 26 = -q + 6. Let f = -16 - q. Solve 4*h - 5*h = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768897878.\nAnswer: 2, 7, 43, 89, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:48 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 210.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -11209059, 2 in descending order.\nAnswer: 2, 0, -5, -11209059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 552. Let d(j) = -472*j - 6. What is p(d(i))?\nAnswer: 472*i - 546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 581 and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -26. Suppose k*l + 0*l - 12488 = 0. Suppose -4*d + 5128 = -l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1920\/660)\/(-8))\/((-30)\/11)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 - x + (-36792 + 36792 + 91*x)*(-2 - 4 + 4).\nAnswer: -183*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 33 + 4 = -5*l, 0 = 5*l - 3*u + 34. Is (l - 0)*(-753)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 6, v: 3, w: 3, n: 1}. What is prob of picking 1 n, 1 w, and 1 t?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (-1*sqrt(162))**2)*4.\nAnswer: 36*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3239*p**2 + 179*p**2 + 361*p**2 - 2510*p**2 - 17*p**2 to i*p**2 + u*p + s and give i.\nAnswer: -5226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (35 + -48 + 22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -2389.\nAnswer: -2389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 9*z = -3, 5*z = 2*g - 13. What is the highest common divisor of g and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -340, -440, -542, -646?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 2, p: 1, i: 2, y: 4, n: 3}. Give prob of picking 2 m and 1 x.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -256665279 * 1\nAnswer: -256665279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/4 - 5*r**3\/3 + 2*r**2 + 4*r + 1. Suppose -3*i + 114 = 102. What is the units digit of q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 = -1.1164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2284633 and 20769?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*l = 0, -14 = -48*j + 53*j - l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 30*m - 28 - 2*m + 3*m.\nAnswer: -29*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose 0*f - 41 = t + 5*f, a = -2*f - 6. Let d = -17 - t. Calculate the lowest common multiple of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/90)\/(718\/14360).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6+-1890.319\nAnswer: -1896.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1298, 1638, 2072, 2600, 3222, 3938, 4748?\nAnswer: 5652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:17 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 + 29 = 4*j, 13 = -4*j + 5*d. Suppose j*a = 81 - 69. Solve 16 = -0*l - l - a*x, -3*l = 2*x + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 3*x - 17 + (-2 - 2 + 2)*(3*x - 6*x + 5*x)*(4 - 6 + 1)*(3 - 3 - 2).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -19 + (25 - (-17 + 148 + 22)).\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2*sqrt(1088) + (sqrt(51)\/sqrt(27) - sqrt(17)) - 4*(sqrt(153) + 1)) + 5 + 2.\nAnswer: -83*sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8690 + 8744. Calculate the remainder when 1511 is divided by y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 != 541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6*j - 31*j - 17*j.\nAnswer: -54*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 1 - (140 + -137)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 1. Let j be f(2). Let y = j - 5. Let c(w) = y*w**2 - 2*w**2 - 2*w**2. Let o(b) = -4*b. What is o(c(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -815.1 - -680. Let x = v + 135. Which is the third biggest value? (a) 3 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 81 = 2*t + 157, -5*g = 3*t - 292. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-15))\/((-8)\/(-36)). Suppose 0 = y - j*y + 8. Let t(k) = k - 3. Calculate the remainder when y is divided by t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m - 5*y + 36, 3*y = -m + 12. Solve -4*h + 4 + m = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) - ((sqrt(168)*-2 - sqrt(168)) + sqrt(168)))*4)\/(sqrt(363)*-1))\/((-6*2*sqrt(72))\/(sqrt(108)\/sqrt(3))).\nAnswer: 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = 8. Find the third derivative of 0 + 0 - 164*u**3 - 35*u**a + 152*u**3 wrt u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 4*w**3 - 17*w**3 - 8 + 67 - 7.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141056855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4939, 1\/9, -0.1, 1\/3, -2, 1 in decreasing order.\nAnswer: 4939, 1, 1\/3, 1\/9, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/60 + 5*q**4\/24 - 3*q**3\/2 - q**2. Let w be l(-7). Let b be 5*(-8)\/((-24)\/3). Do b and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9300590 by -130.\nAnswer: -71543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -3.7, 89, 32?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -6754040?\nAnswer: 6754040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180718 is divided by 22184?\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*a + 40*a - 347*a**2 + 199*a**2 + 1 in the form n + b*a + z*a**2 and give z.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 881*z + 24. Let u be (1\/(-4) - 100\/160)*-8. Is f(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*v + 233*v - 715*v**2 - 302*v.\nAnswer: -715*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 3\/(-2))\/((-17)\/442). Suppose -518 = 3*f - 15*r + z*r, -4*f + 5*r - 693 = 0. Is f greater than or equal to -172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366\/(-15738)*215\/(-20)*6\/(-28).\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49084121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2820 is divided by 936.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:56 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1256*x + 1216*x = -360 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 8. Let z = -21 + 15. Let b be t(z). Let i be 20\/(-28) - b\/14. What is the nearest to i in 0.4, -1\/5, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-12))\/(2835\/(-14580))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 56*g**2 + 176*g.\nAnswer: g*(g - 4)*(3*g - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 84 = 4*a. Suppose 4 = d, 5*p - 11*d = -6*d + 95. Calculate the remainder when a is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - (980\/(-21))\/(-7). Let c(q) be the second derivative of 0 - 4*q**2 + v*q**4 + 7*q + 2\/3*q**3. Factor c(x).\nAnswer: 4*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i + 307*i - 4049 = -10305 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o**4 + 29*o**3 + 55*o**2 - 53. Suppose 0 = 4*g + 7*g - 121. Let x(f) = 5*f**4 - 15*f**3 - 28*f**2 + 26. Let d(t) = g*x(t) + 6*q(t). Factor d(v).\nAnswer: (v - 1)*(v + 2)*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20536 and 272.\nAnswer: 41072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k**2\/5 + 841*k\/5 - 2442\/5 = 0. Calculate k.\nAnswer: 3, 814\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -366 equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21442*f - 1360*f + 21345*f.\nAnswer: 41427*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141781 to the power of 1\/2, to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -94299 = -9146994\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-2 - 1)) + 1. Let n(f) = -f - 1. Let u(i) be the third derivative of -i**4\/6 - 2*i**3\/3 - 11*i**2. Calculate z*n(v) - u(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*l + 8*l. Suppose -x - 27 = -l*x. Suppose x = -2*u + p, 0 = -6*u + u - 2*p. Do u and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + 8241?\nAnswer: 8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-6)\/(-12)). What is the tens digit of (39 + 13)\/(x + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 6 - 2*u + 18 - 21 - 2*u**2. Let j(f) be the third derivative of f**5\/12 + 5*f**4\/24 - 5*f**3\/6 - 2*f**2. Determine 3*j(b) + 5*t(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 8*n**2 - 65*n + 386. Determine u(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**5\/120 - a**4\/24 + a**2\/3 + 6*a - 2. Let l(z) be the first derivative of u(z). Factor l(t).\nAnswer: -(t - 1)*(t + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1736 and 2046.\nAnswer: 57288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniiiiiikkiiii. What is prob of picking 2 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvivdvvivd. What is prob of picking 2 v and 2 i?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/3*f + 34\/3 + 1\/3*f**2.\nAnswer: (f - 17)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235862?\nAnswer: 2, 11, 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2969.59883 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {v: 6, b: 1, i: 5, t: 5}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 0 + 323*(-198)\/1683\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 + 258. What is the remainder when 110 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 45*v - 122 - 39. Solve v = -3*f + 2*i, f + 3*i - 3 = -9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2793 and -158447?\nAnswer: -442542471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684)*-2)*5 - (-5*3*(5 + 1*sqrt(19)))**2.\nAnswer: -2310*sqrt(19) - 9890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Calculate the remainder when 8*(r - (-1)\/2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**3 - 275278*v**2 + 971361 wrt v.\nAnswer: 3*v**2 - 550556*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3326511, -3326505, -3326499, -3326493, -3326487, -3326481?\n\"Answer: 6*i - 3326517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.55 - -6.55. Which is the closest to 2\/9? (a) 1\/6 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1413\/17 + -83. Is 1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11\/32 + -611\/288. Which is the second smallest value? (a) m (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104028 = 7*s - 58307 + 43902. What are the prime factors of s?\nAnswer: 7, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53611435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 7042448.\nAnswer: 1\/1760612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 1. Let h be c(-7). Suppose u - 22 = -h. What is the units digit of (u\/6)\/(14\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -21 + 0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2 - 13. Suppose 6*c + 5*j - 34 = 2*c, -8 = -3*c + s*j. Suppose c = u + 2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3 + 203*n**2 + 824*n + 828 = 0.\nAnswer: -2, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30202932 and 529876?\nAnswer: 30202932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 640490063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + 14 - (-8 - 72).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3178 is divided by 85?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7 = 5*i - 3*o, 0 = o - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 736*m**3 - 6*m**2 + 3*m - 3. Let a(u) = -735*u**3 + 8*u**2 - 4*u + 4. Calculate -3*a(o) - 4*b(o).\nAnswer: -739*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8237866*g - 8237866*g + 4*g**3 + 0*g**2 + 0*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 53*q + 11067. What is the greatest common divisor of 279 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-77))\/((-12)\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68220 + -68175.613. Let y = s + 0.013. Let l = y - 50. Round l to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*r + 7. Let f = 2 - -1. Calculate the least common multiple of f and r\/(45\/6)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339278306 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -93. Let a = v + 41. Solve 3*b - u = -9, -u = 4*b + 3*u + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 27 - 123 = 0. Suppose -2*y - 36 = -5*p, y + 3*y = -2*p + h. Suppose x - 29 = p. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-70))\/(4\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + 9. Suppose -i = -4*t + j, 5*i + 0 = -5. Let x(g) = 4*g - 10. Let q be x(t). Calculate the highest common divisor of q and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:48 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -3*f - 30, -m = 2*f - 1. Suppose -3*t = 3*l - 45, 3*l - m - 50 = -4*t. Suppose -5*z + t = -z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -28*q - 200. Let z be f(-7). Let g(x) = -x**3 - x**2 - 7*x - 4. Calculate g(z).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.00692 - 1.5074. Let f = u + -2.5. What is f rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2 + 635*i**5 - 646*i**5 - 2*i**2 wrt i.\nAnswer: -660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Let j be o(-4). Let p = -14671 - -14669. Sort 7, p, j in descending order.\nAnswer: 7, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:26 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 26. Let b = 10 - 23. Let a be r(b). Let l(g) = -g**3 - g**2 + g + 4. Give l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 18006*w - 666235. Calculate i(37).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*z - 12 - 2, 3*z + 30 = -4*l. Put -1, 4, l in descending order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59301 = -16*m + 11*m - 4*r, 5*m = 2*r + 59307. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {t: 5, p: 8, f: 2, u: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47642.025359 - -47642. Let c = o + 0.100345. Let s = c + -0.0758. What is s rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 353*m**2 + 5*m + 4. Let d be a(5). Calculate the remainder when (-4)\/7 + d\/133 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6350730 and 54?\nAnswer: 57156570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.5. Suppose 3*a - 11*s + 8*s + 12 = 0, 4*a - 2*s + 22 = 0. What is the closest to 0 in a, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -15*h - 34. Let g(x) = 7*x + 16. Determine -13*g(t) - 6*l(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1718000 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (0 + sqrt(300))**2 + 3 + sqrt(300))*2.\nAnswer: -1216 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6235 + -1?\nAnswer: -6236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-2 - 1))*67. Let i = -110 - t. Let x = i + 73. What is the remainder when x is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03325 - -10.96675. What is the nearest to -4 in 4, -0.1, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -303*o - 44295. Calculate d(-146).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/9 (b) -5 (c) 2552\/15 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24535168 and 14972.\nAnswer: 466168192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -73, -98, -139, -202?\n\"Answer: -v**3 + v**2 - 11*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4dbc (base 15) to base 11\nAnswer: -11523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9114 * -57.\nAnswer: -519498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 56.12022057.\nAnswer: 56.32022057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1917136 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 12637*h - 176902. Calculate u(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**2 - 31350*r - 439880 = 0.\nAnswer: -14, 6284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 26*p + 156. Give t(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 0.11, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = -39. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = 3*y - 2*y, 11 = -2*c + 5*y. Suppose 2*s - 208 = -3*r, 5*s = c - 22. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 0*n**3 + 0 + 0*n**2 + 2\/5*n**4 + 0*n + 2\/5*n**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -7 - 27 - (112 + -143) - (1 - 113)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = -2*v + 3*i, v - 5*i = -22. Suppose 0 = -b - v*b. Suppose -2*z + b*q + q = 3119, 5*q = -5. What is z rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155, 310, 465?\n\"Answer: 155*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1432443.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (2 - (8 - 0)). Let d = -1423\/3353 - 2\/479. Let p = -1.2 + -0.8. Which is the smallest value? (a) p (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, x: 3}. What is prob of sequence oooo?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -100*d + 38. List the prime factors of t(-6).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/20 + (-50)\/(-8). Let r(x) = 4*x - 5. Let j be r(d). Let n = 27 - j. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 1. Let h(v) = 27*v + 2. Let l(r) = 3*h(r) - 6*y(r). Is 73 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 4*h - 24 = 0, 0 = -3*n + 3*h - 24. Suppose 0 = -4*i + 3*a + 9 - 2, 5*a = 15. What is the closest to 4 in n, i, 1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 20*u**2 + 41*u - 17. Let i be a(-14). Solve -599*l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n + 1. Let k be h(-2). Let o(y) = -y**3 - 7*y**2 - y - 3. Let z be o(-7). Let i(v) = -v - 3*v + v + 7 + z*v. Calculate i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 686247 (base 11) to base 4\nAnswer: 10022202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16151 - 9155 = -214*g - 9482 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -21, -38, -53, -60, -53, -26, 27?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 8*u + 4092.\nAnswer: -4*(u - 31)*(u + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k)*(-2 - 4 + 2)*(k**4 + 2*k**3 - 2*k**3).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -112, -119?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455560979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Suppose 15*q + 24 = 129. Suppose -18 = -3*d + 5*g, 2*g = q*g. What is the second smallest value in d, l, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 9 = c, -6 = 19*l - 15*l + 2*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32954.2 and 0.220593877?\nAnswer: 32953.979406123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -406799 times -5\nAnswer: 2033995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44810411*q**2 - 29462846 with respect to q.\nAnswer: 89620822*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 601, 514, 413, 298?\n\"Answer: -7*r**2 - 66*r + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2))**(2\/37))**7 assuming t is positive.\nAnswer: t**(21\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 2. Is (-2)\/p + (-1548)\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*sqrt(171))**2 + (sqrt(931)*2 - sqrt(931))) + ((sqrt(190) - sqrt(190)*-3)*-4)\/((sqrt(120)\/sqrt(3))\/sqrt(4)).\nAnswer: -3078 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (2 + sqrt(176) + -4) - (0 + sqrt(44) + -4))**2.\nAnswer: -24*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 30. Put 1, -4, s in ascending order.\nAnswer: -4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 = -4*h + b, h = -b - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4209\/13090 + -2\/595. Suppose -n = -3*b, -14 = b - 0*b - 5*n. What is the common denominator of u and (b\/6)\/(40\/(-1215))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*j - 36, -2*j - 4 = -3*j. Let r be 20\/(-6) + m + (-2)\/1. Put r, 0.1, -2\/5 in descending order.\nAnswer: 0.1, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(28) + 1)**2 + (-1*sqrt(1008) + sqrt(77)\/(sqrt(11)*1))**2.\nAnswer: 4*sqrt(7) + 872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265357.\nAnswer: 443, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 26. Let x be z\/(-3)*6\/38. Which is the second biggest value? (a) x (b) 3\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/11)\/(a*a\/a**1))**(-41)\/((a**8\/(a**(-6)*a))\/(a**5*(((a**(3\/4)*a)\/a*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(2425\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(8*m + 6*m + 5*m)*(-2*m**2 + m**2 + 3*m**2) to the form j + k*m + u*m**3 + i*m**2 and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 12 = -4*c - 34*z, 9 = c + 3*z. What is the second derivative of -177*g**3 + 8 + c*g**5 - g**5 + 278*g**3 + 4*g wrt g?\nAnswer: -20*g**3 + 606*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*m + 0*m - 26 = 0, 5*u - 29 = m. Solve 0 = u*n - 10*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*p**2 + (2 - 2 - p)*(-p - 3*p + 5*p) + (2*p + 3*p - 3*p)*(-2*p + 1 - 1) + p**2 + 2 - 2 + (3 - 5 + 3)*(33*p**2 + 4*p**2 + 28*p**2).\nAnswer: 58*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 5, y: 1, f: 2, i: 1, w: 2, p: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3327 - 1748. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74313435 and 35.\nAnswer: 74313435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 - 272 = -206*x + 59. Solve 3*r - x = -f, -f - 1 = 5*r - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5999952 + -2.6. What is o rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120690.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 116, 222, 326, 428?\n\"Answer: -d**2 + 109*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33314241 - -11?\nAnswer: 33314302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**3 - 4*z**2 - 7*z + 18. Let a be x(4). What is the greatest common divisor of 34 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.82*0.5\nAnswer: -3.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 + -5 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7264067 (base 9) to base 5\nAnswer: 1443134103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7421, -14851, -22281, -29711, -37141, -44571?\n\"Answer: -7430*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 + 30690*q**2 - 122724*q + 122712 = 0 for q.\nAnswer: 2, 10226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 115 + 137 - 7*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 20 = -4*t, t - 5*d + 119 = 140 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96\/208 - 3680\/(-26) is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(96)\/sqrt(6))\/sqrt(8) + 3.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4366)\/(-74) - 43)\/(-4 + 88\/20).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 10 = 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -6665 (c) 1\/2 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (0 + 5)) + 48 + -53?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 3*p + 1. Let o(s) = 20*s**2 - 16*s + 4. What is -3*o(w) + 16*q(w)?\nAnswer: 4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, -0.209, -4, -3\/5?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.3. Suppose -5 = -q - 0*q + 5*s, 3*q = -4*s + 15. Which is the second smallest value? (a) q (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 2*m = 8, 143*x = 148*x + 5*m - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-63) + 343\/3. Let s = d - 107. Solve -s*z - 16 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gee when three letters picked without replacement from {n: 2, z: 9, g: 1, e: 6}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*r + 353 - 353 + 129*r in the form d + j*r and give j.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.406206ng to milligrams.\nAnswer: 0.000007406206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9389993.2 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3427, 5952, 10161, 16060, 23655, 32952, 43957?\n\"Answer: c**3 + 836*c**2 + 10*c + 2580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208434624 is divided by 29776374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(28)\/sqrt(4)*1)**2 + (sqrt(252)\/sqrt(9))**2 - (sqrt(49)\/(sqrt(28)\/sqrt(4)) + -4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2622.52 + 776.\nAnswer: 3398.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0340956 to 4 dps.\nAnswer: 0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 + -6 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1 + 4 + 2)*1)**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from vnnvvnvvvn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6593856 and -44\/9787755.\nAnswer: 626416320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/6*(-18)\/4. Let m = 27 - b. Suppose m*n - 2*a - 19 = -3*a, -3*n + 13 = -5*a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 6 + (0 - 1 + 3)*(-3 - 1 + 3))*((4*d + 2 - 2)*(-2 + 0 + 4) + (-4*d + 2*d + 3*d)*(-1 + 3 + 0) + d - 3*d + 3*d) as v*d + g and give v.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.5916 + 43.6. Let c = t + -0.01057. Round c to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3564\/6534*(-22)\/(-57).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677251?\nAnswer: 1677251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4801 is divided by 182?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29123 + 29123. Put 9, r, 13, -42 in ascending order.\nAnswer: -42, r, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + 2*s + 3. Let x be y(-1). Suppose -5*r + 3 = -3*o + 1, 4*r = -x*o + 46. Solve b = -b + o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73690413 to the power of 1\/2, to the nearest integer?\nAnswer: 8584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - r = 3, -5*w - 14*r - 13 = -18*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l. Suppose 4*y - 6 = y. Suppose -2*m + 3*i = 4*i - 22, -5*i + 33 = 3*m. Let v(q) = 21*q. Calculate m*j(u) + y*v(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*x - 82. Let i be 1\/((-3)\/39*-1). Calculate the highest common divisor of x and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34910 divided by 10.\nAnswer: 3491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h + 218*h - 19552 - 19543 + 39095.\nAnswer: 177*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 3 + d - 5*d - 2*d. Determine s(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24892.36nm to kilometers.\nAnswer: 0.00000002489236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-105)*(-2)\/4 + 5\/25.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 8:33 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olo when three letters picked without replacement from ssooslolosossoo.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 20893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1957986, -3, 4, 19, 1 in descending order.\nAnswer: 19, 4, 1, -3, -1957986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2602 and -350057557.\nAnswer: -350060159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(16)\/sqrt(800))**2*-6*4.\nAnswer: -9612\/25 - 96*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (80\/(-25))\/((-2)\/610). Calculate the highest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7070*d + 24 = -7065*d, 18*d = -x + 111 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k**2 - 25*k + 17. Let d be p(1). What is the closest to -9\/7 in 1\/3, d, -14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 25 - 1 - 21 - b**2 - 1 + 6*b. Calculate y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7181 + 46*z**3 + z**2 + 7181 + z**4 in the form p*z**3 + y*z + g*z**2 + q + b*z**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -44. Suppose 3*p = l + 5. Suppose p*h - 4 = 0, -4*j - 2*h + 4*h + 246 = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6139152 or -6139160?\nAnswer: -6139152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 5, -5206, 4, -3 in decreasing order.\nAnswer: 5, 4, -3, -4, -11, -5206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2\/11 (c) 1\/4 (d) -2 (e) 7\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4650020.9858769944 - -8893.1858772944. Let r = d + 4641128. Let v = -0.2 + r. What is v rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00005 * 2.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgssgsijjsqss. What is prob of picking 1 i, 1 s, and 1 j?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17*r + 32 = 0. Let w = -17 - -17. Sort w, -1, r, 5 in descending order.\nAnswer: 5, r, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 6*k + 16. Let f be p(7). Suppose -4*v - 1 = -f. Suppose -4*j + 93 = 3*y, -34 - 27 = -v*y - 3*j. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 7. Calculate the least common multiple of i(-3) and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2*3\/(-2). Let k = 3 + g. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4031411022 (base 5) to base 12.\nAnswer: 2855582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3865 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: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7 = 4*v - 497, 392 = 4*k - 4*v. Suppose -11*u + 10*u - k = 0. Let z = -70 - u. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20757 - -20752. Let p(k) = 39*k + 200. What is p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*m + 15. Let o = 346 + m. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -340726*h**2*j**3 + 9*h**2*j - 23*h**2*p + 20658*h*j**3*p wrt p.\nAnswer: -23*h**2 + 20658*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5 + (-24)\/20. Let d be (2\/(-4))\/(s\/(-4)) - -24701. Round d to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 194*n**3\/3 - 128*n - 99. Find the first derivative of w(h) wrt h.\nAnswer: 388*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*a - 6*a + 32*a - 10*a to the form g*a + s and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**6\/x)))\/x*x\/(x**0\/x))**(-49)\/(x**(-2)*x**(-2\/5)*(x\/(x\/x**(-4)))\/(x*((x\/((((x\/x**0)\/x)\/x)\/x)*x)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(-1418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 65. Solve -b + 8 = i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-1\/4))*n\/n**(-1\/6))**36 assuming n is positive.\nAnswer: n**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 903 - 903. Let l(z) = z**2 - 6*z + 3. Let p be l(3). Let m be 140\/174 + 4\/p. Is x equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*10*(-20)\/(-75).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19093361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3832917533 + 615*t - 3832917533.\nAnswer: 615*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 682?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:53 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/135512 and -19\/140724?\nAnswer: 3658824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (6 + -3) - -2 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105757.\nAnswer: 17, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -0.5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15682392?\nAnswer: 2, 3, 11, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-64)\/(-48))\/(40\/(-150)). Let m(a) = -4*a**3 + 7*a**2 - 5*a + 5. Let g(s) = 6*s**3 - 10*s**2 + 7*s - 8. Calculate y*g(u) - 7*m(u).\nAnswer: -2*u**3 + u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 3*y + 18 - 4*y. Suppose -27 = -3*k + 6*k. What is the units digit of u(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143324639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/601, -1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + ((-16)\/20)\/2. Let c = 0.5 + 1. Let j = 1 - c. What is the closest to k in 0.3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.9 - -15.\nAnswer: -34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6667 - 3634. Suppose l = -8*l + q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1496 and 5984.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) 3.5 (c) 12\/71 (d) -48 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, -8\/9, -173, 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + -131. Let s = 301 + j. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 84*c**2 + 117*c - 1041. List the prime factors of d(9).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118450642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28331982 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 + 6 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 5:59 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 58, 68, 94, 142, 218, 328?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 8*b**2 - 3*b + 10. Let l be w(8). Let i(y) = 0*y**3 + 4*y**2 + y + y**3 + y**2 - 6. Let p be i(-5). Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.1, -2, 0.4 in increasing order.\nAnswer: -2, -1\/6, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 4*r**2 + 3*r**2 + 0*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3337000 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 455\/(-1390) - (0 + 0) and (1118\/39 - 28) + ((-1)\/2 - -1).\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50 + 3 - 6)*(3*i + 2*i - 14*i)*(2*i + 0*i + i) to c*i**2 + z*i + a and give c.\nAnswer: -1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157\/476 - -3\/68. Let a = 3136 - 3138. What is the biggest value in x, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.3 + 14.6. Sort -0.01, j, -0.1.\nAnswer: -0.1, -0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 9*k**2 - k + 7. Let d be m(9). Let n be (6\/3 - d) + -19. Let p be (-396)\/n*50\/4. What is p rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7497 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*u - 10, 39 = r - u. Let j(l) = -l**3 + 32*l**2 + 68*l + 2. Let b be j(r). Solve 0 = b*m + m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*j - 15. Let f = 35 + -104\/3. Factor 1\/3*w**j + 0 - 1\/3*w**2 - f*w + 1\/3*w**4.\nAnswer: w*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.6 and 325 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2146 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, a: 2, k: 5, e: 1, y: 1}. What is prob of sequence ea?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4802*-241595.\nAnswer: 1160139190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + 6\/4. Let j(q) = 3*q**3 + 42*q**2 + 162*q + 2271. Let g be j(-14). Sort 5, g, -4, k in ascending order.\nAnswer: -4, k, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -12 + (25 - 13 - -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3794186 - 4488521517\/1183. Let u = -2\/169 + l. Which is the second biggest value? (a) u (b) 4\/5 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 22 - 4)\/((-2)\/(-4)) + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1 - (6 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*h - 151*h + 11715 = -10005 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p + 4*c, 0 = -11*p + 16*p - 5*c. Let 1\/8*i**p + 0 - 1\/4*i = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**(-1\/2)*w)\/w*w))**(-34))**(3\/17)\/((w\/w**1)**(-11))**14 assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. What is the greatest common factor of m and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(200)) - (sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200) + 1*(sqrt(200) + sqrt(200) + -1 + sqrt(200)))))))**2.\nAnswer: 100*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (2 - 3) + 26. Let i be ((-8)\/u)\/((-3)\/21). Let b be ((-12)\/i)\/(-3 - 5). What is the smallest value in 0, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*h = -3, 1636*a + 1 = 1641*a - 4*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2071, -2060, -2017, -1930, -1787, -1576, -1285, -902?\n\"Answer: 2*b**3 + 4*b**2 - 15*b - 2062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/11 + 10*a**2\/11 - 9\/11 = 0. Calculate a.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5672850 equal to -5672850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6 = 42. Let s be (h\/14)\/((-60)\/(-28)). Which is the smallest value? (a) s (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395919893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 4*d = 4*w + 4, 3*w - 5*d = -37 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 3*k**4\/4 + k + 274. Let j(u) = 12*u**3 + 4. Calculate -22*g(p) + 6*j(p).\nAnswer: 6*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67359, 67369, 67375, 67377, 67375, 67369?\nAnswer: 67359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Solve 5*g + 5*t = -i, 2*t - 2 - 5 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:39 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/(z*z*z**(1\/7)\/z))\/z)\/z**(-1)*z**(2\/3)\/z**(-5))\/((z**(-5\/2)*z)\/z*z**(2\/11))**(-2\/13) assuming z is positive.\nAnswer: z**(21523\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 1, m: 2, f: 1, b: 3}. What is prob of picking 2 l and 1 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 1\/7, 5, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + 618 = 0. Let o = y + -137. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19826815873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 105\/(-12) - 7.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 957359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*18\/8. Let b be (-1)\/(-2) - 2\/4. Do n and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k - 5. What is the remainder when w(6) is divided by 12 + 10*(-1)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-14)*((-216)\/(-30))\/(-6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*p + 25 - 99 = 0, 4*p - 25 = -o. Let g(h) = 15*h - 20. Let i(r) = -5*r + 7. Let d(v) = o*i(v) + 6*g(v). Find the first derivative of d(t) wrt t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.10152. Round z to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 2*f**2 - 7*f - 58. Let u be x(-4). Let j be 1*(-2 + 2 + 2). Find the first derivative of j*q - q + 53 - 4*q**u - 6*q wrt q.\nAnswer: -8*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(-z - 5*z + 4*z) - 16*z + 9 - 9 + 2*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-28094)\/(-12) - (-2)\/(-12) is divided by 1168.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/4 - 93*p**4 - 35005*p**3\/4 + 749175*p**2 - 12290625*p = 0.\nAnswer: -125, 0, 30, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g, -2*h = 2*h - 4*g + 52. Let i be (2 - 5) + 7 + (-1 - h). Suppose -b + 2*b - 2*d = 2, 4*d - i = -3*b. Put 3, 0, -2, b in ascending order.\nAnswer: -2, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2182840 divided by 9020\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 74 = -y, 2*y + 0*y + 128 = -4*f. Let u(m) = -3*m**3 + 6*m**2 - 10*m + 6. Let n be u(3). Let w = n - y. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2. Let x(s) = -6*s + 69. Give x(c(b)).\nAnswer: 24*b**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 1. Let b = -359\/2 - -1439\/8. Let x = 12.5 - 13. Sort -0.4, x, b, w in decreasing order.\nAnswer: b, w, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7536 divided by 1048?\nAnswer: 942\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 46*t**2 - 39*t - 133. Give b(-22).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/15093 and 8\/39.\nAnswer: 15093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2)*(-286)\/(-11). Let c = a - 23. Solve c + 5 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17261, 34534, 51807, 69080?\n\"Answer: 17273*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 1033\/4, 0.017.\nAnswer: 0.017, 0.2, 0.5, 1033\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1302*q**2 + 131655*q + 1051229362 wrt q?\nAnswer: -2604*q + 131655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:34 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*i - 2*x + 31, i = -2*x + 18. What is the lowest common multiple of 16 and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*q - 26*q - k + 1, -2*k - 13 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 - 267. What is the remainder when (-3466)\/(-16) - o\/288 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 302240466, 604480930, 906721394, 1208961858?\n\"Answer: 302240464*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44666 divided by -1942?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6075, -1, 0 in increasing order.\nAnswer: -6075, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5459 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 631 + -25?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -52.000538. Round c to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 435*y. Let c(x) = -325*x**2 - 316*x**2 + 643*x**2. Determine c(d(m)).\nAnswer: 378450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*a*q**2*x**2 - a*q**2*x + a*q**2 - 3*a*q*x**2 - 1207*a*q*x + a*q + 3*q**2 wrt q.\nAnswer: -44*a*x**2 - 2*a*x + 2*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 334 and -220.426?\nAnswer: 554.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + 0 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 664 - 460 = 0. Suppose -1 - 3 = -k. Suppose -203 = -k*l + t. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**5\/25 - 21*w**4\/20 - 7*w**3\/3 + 57*w**2\/10 + 662. Let l(m) = 0. Calculate m.\nAnswer: -19, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 - 19\/(-4). Let f = -12 + 27. Suppose -f = -5*z - o. Solve a + h = -9, -z*a + 5*h + 8 = -9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1487*z**2 + 629?\nAnswer: 2974*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 142.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20) + (sqrt(180))**2 + sqrt(20) - sqrt(10)\/(sqrt(2) - (sqrt(2) + sqrt(12)\/sqrt(24))).\nAnswer: 6*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**3 + 3*y**2 - 169*y?\nAnswer: -18*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*u + 245 + 785, -2*u = -5*v + 1010. Let g = -202 + v. Solve -4*h + 7*o - 21 = g*o, 2*o = 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-30))\/(2\/(-4)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**4 - 165*k**3 + 2*k**2 - 21*k + 162*k**3 + 2 - 3*k**4 + 63*k to the form s + c*k + i*k**2 + u*k**3 + g*k**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833\/(-1862) + (-2 - 10\/(-4)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 78. Solve 0 = -t*w - 5*m - 24 + 2, 2*m = 4*w - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-3))\/((1 - -1)\/258) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 2*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 + 41. Let j(n) = 11*n - 170. Let a = -99 - -115. Calculate the remainder when i(0) is divided by j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -137*q + 15. Let i(u) = -69*u + 8. Determine -6*g(y) + 11*i(y).\nAnswer: 63*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 24 = 4*s - 3*u, 26 = 4*s - 5*u. Let j = s + -4. Suppose -22 = -2*c - f, -f + 4*f = c + 3. Solve 3*o + c = -j*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0386 less than -629.1?\nAnswer: -629.0614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-10)\/(-4))\/(3\/2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 + 74*k**2 + 238*k + 7. Let s(h) = -2*h**3 - 37*h**2 - 135*h - 4. Determine -7*s(i) - 4*t(i).\nAnswer: -2*i**3 - 37*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 8*o**2 + 11*o**2)*(-6 - 10*o + 6).\nAnswer: -30*o**3 - 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/18)\/((-2)\/69). Suppose -2*r + 4*o = 16, 5*o = 4*r - 9*r - k. Is r less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -5*y + y, 5*y - 17 = -2*h. Let g = h - 3. Let b be 1*(-26)\/g - 1. Solve 0 = v - 5*p + 13, -3*p + p = 3*v - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6041296 is divided by 240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35, 125, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t**(-1\/6)*t*t**(-6)*t*(t\/(t\/t**(-3\/5)))\/t*t assuming t is positive.\nAnswer: t**(-143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58612 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/5 (b) -1\/4 (c) 1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9740 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0 - 2*n**2 - n**2 - 2*n + n**3 - 2 + 0*n**2. Let v be o(4). Solve 0*z + 4*a = 2*z - v, -2*a + 22 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58222356?\nAnswer: 2, 3, 569, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 13. Let q = -15.93 + j. Let o = q - -1.93. Is -0.2 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9985 + -9873. What is the remainder when 439 is divided by r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5. Let b(l) = 3*l**2 + 2*l - 1. Let d be b(1). Does 12 divide (s + (-1)\/d)*32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.8988 millilitres to litres.\nAnswer: 0.0978988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17552 + 13033. Are j and 30585 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 13*b - u = 0, 19*b + 8*b - 2*u - 80 = 19*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70, -572, -1948, -4636, -9074, -15700?\n\"Answer: -73*p**3 + p**2 + 6*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:00 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 3*i + 1. Let x be m(-1). What is the nearest to -0.1 in x, -3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**5\/20 - 266*d**3\/3 + 41*d**2\/2 + 21*d - 38. What is the first derivative of v(h) wrt h?\nAnswer: -3*h**2 - 532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -25*((1 - 0) + -3). Let j = 0 + 0. Suppose u + u - x = j. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4, 12 = -0*n + 5*n + 4*k. Is (843\/n - (-2)\/8)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/4)*f)\/f)**(-1\/20)*f**0*f*f**(2\/5)\/f assuming f is positive.\nAnswer: f**(27\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.98 and -0.199764959.\nAnswer: -1.179764959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 1) + (-1974)\/105 + 0\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - s - 1486 = 0, 11*n = 13*n - 5*s - 2966. What are the prime factors of n?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 348 = 2*b, -135 = -4*d - 4*b - 483. Let y = -9 - d. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 686?\nAnswer: 27.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 9*k + 7. Let i be u(8). Which is the closest to i? (a) -0.3 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850021 is divided by 86?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 152 - k**3 - 81.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 h when three letters picked without replacement from {h: 9, y: 1, k: 4}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 5, 0.27, -3\/5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let r(m) = -1. Let x(t) = t**2 - 5. Suppose -2*w - 8 = -28. Let a be 90\/w + -11 + (-3)\/1. Give a*r(s) + c*x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -374 - -417. Let h be 5 + n\/(-9) + 6\/(-27). Solve 0 = -5*v - 2*s - h*s - 16, -5*v - 4*s - 22 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/80)\/(16\/256). Let u be 1\/(0 - (-1)\/(-6)). Sort u, d, 3 in increasing order.\nAnswer: u, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 10 - 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*-1*sqrt(275)*1 + -2)**2 + -1)*-6.\nAnswer: -534618 - 2160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d8076a + -2?\nAnswer: -1d8076c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 t when four letters picked without replacement from {v: 2, a: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahw when three letters picked without replacement from aaaaawavvwwhw?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 126 = 4*j. Let b(d) be the first derivative of 0*d**3 + 4\/5*d + 3\/5*d**2 - 1\/10*d**4 + j. Factor b(f).\nAnswer: -2*(f - 2)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.09, -0.1, 0, 5 in descending order.\nAnswer: 5, 0.09, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357892870 to the nearest integer?\nAnswer: 18918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133863648?\nAnswer: 2, 3, 1394413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.064 in -19, 0.2, -0.004?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171593*c**5 - 16442*c + 16 wrt c?\nAnswer: 3431860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17484606 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 202200200?\nAnswer: -202200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -129037*j**2 + 258635*j**2 - 128922*j**2 + 1. Let p(x) = 5*x. Give n(p(i)).\nAnswer: 16900*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46835711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-71 - (-10 + 6 + 0)) - (0 - 1).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.901 + -0.099. What is the fourth smallest value in -1, -2\/15, -2, o?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -187 + (75 - -25)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/7 + 8*d**4\/7 - 12*d**3\/7 - 16*d**2 - 128*d\/7.\nAnswer: d*(d - 4)*(d + 2)**2*(d + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/(r*r**(-7\/2)))\/(r**(-8)\/(r**0\/r*r)) assuming r is positive.\nAnswer: r**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/77132 and 137\/732.\nAnswer: 14115156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 700 - 4620. Let c = a + -558. Solve 4*k - c = k - 5*u, k = -u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 1341*u - 1345.\nAnswer: (u - 1)*(4*u + 1345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 9:02 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -45. Suppose 4*m - 28 - 25 = -3*w, 2*m - 9 = -5*w. What is the greatest common factor of m and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 13222980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -11*c**5\/120 - 29*c**3 - 57*c**2. Let r(v) be the first derivative of a(v). Let l(b) = -b**2. Calculate l(r(t)).\nAnswer: -121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1076132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6*x = 16 + 32, 0 = 4*m - x - 73. Solve 3*u = 4*f + m, -31*f + 15 = -36*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**3*j**(2\/7)*(j**(-8)*j)\/j**(2\/25)*(j**(-2\/17)*j**(-7)*j)\/(j\/(((j*j**0)\/j)\/j))**(-2\/53) assuming j is positive.\nAnswer: j**(-1550964\/157675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5746, 5747, 5748, 5749, 5750, 5751?\nAnswer: 5752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2 - 2)*(-w**3 + w**3 - 2*w**3) - 2*w + 2*w + 2*w**5 + 30*w**5 + 31*w**5 - 53*w**5 + w + w**5 - w.\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 11*o + 74, -96*j - 6 = -94*j for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvjvvvv. What is prob of sequence vvj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 7*s. Let k(b) = -7*b**2 - 13*b + 1. Let w(l) = -2*k(l) - 5*v(l). Let n be w(-6). Suppose c - n = -3*c. Sort -5, -1, c.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 + (0 - 10) + -2 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 805, 804, 803?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 3:38 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*q - 4*q. Let k = 17 + q. Is (-46)\/k*3 + 2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5984*g**2 - 9339*g - 8. Let q(c) = -5988*c**2 + 9337*c + 10. Let v(x) = 5*l(x) + 4*q(x). Find the second derivative of v(m) wrt m.\nAnswer: 11936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459 take away 12357602771?\nAnswer: -12357598312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from opopsposspo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.26 + 15.16. Let g = -0.02 - -1.02. Let j = g + -1.3. Which is the second biggest value? (a) v (b) -2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*f + 3*k + 5, -5*f + 4*k + 4 = 0. Let m = f - 1. Let g = -3405 - -3405.3. Put m, g, 1 in descending order.\nAnswer: 1, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1311 + 1318. Sort -5, y, 75 in ascending order.\nAnswer: -5, y, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.42 + 0.08. What is the smallest value in 65, y, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -58, 8 in ascending order.\nAnswer: -58, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 - s + 1. Let g be t(0). Let u be (2 - 2) + 3 + g. Solve -u*j + 10 = -5*h - 13, 4*h = -2*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 + 1\/12*w**4 - 10*w + 0*w**2 + 1\/3*w**3. Suppose -3 = -5*b - 23. Let p(n) = -n**2 - 2*n. Give b*q(c) - 3*p(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9\/113 (b) -11 (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 + q + 20. Let l be r(0). Let z = 20 - l. Suppose z = 2*p - d - 19, -2 - 49 = -5*p - d. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*n = 113*n - 650. What is the greatest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1152*r + 9. Let o(h) = -8072*h - 62. Calculate 5*o(a) + 34*x(a).\nAnswer: -1192*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496500 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose u + 4*u - 5 = 0. What is the units digit of 10\/(-2)*(k - u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 160\/15 + (-4)\/6. Let f be 4\/(-2*(-4)\/v). Let p(h) = 2*h**2 + 3*h - 6. Is 13 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -17. Suppose 8 = v + 3*v - 4*z, 2*v + z = i. Solve 3*w + 21 = v*m, -w - 8 = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 9*l - 7. Let r be n(7). Factor r*t - 9*t**2 - 4 + 0 + 3*t**2 + 3*t.\nAnswer: -2*(t - 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11*t**2 + 2*t + 19. Let x(c) = 5*c**2 - c - 10. What is -6*l(z) - 11*x(z)?\nAnswer: 11*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*(9735\/(-660))\/((-1)\/(-16)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + 1 + -2. Let u be ((-8 - 2) + 0)\/(-5 - -3). Suppose u*x + 4*x - 189 = b. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/3 + 92*a**4 - 2884*a**3\/3 + 3864*a**2 - 6894*a + 4572 = 0.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - p**3 + 2*p**3 - p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01293100283 to six decimal places.\nAnswer: 0.012931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*y = 48 + 163, 0 = v - 2*y - 37. Let i(b) = 10*b + 179. Let f be i(-22). Let j = f + v. Solve 0*z - z = j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*y - 120, -y - 4*y - 3*k + 122 = 0. Let f(t) = 15 + 7*t - t**2 + 12 - y. What is f(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80879905.5 minus 365?\nAnswer: 80879540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 70 - 195. Suppose -4*z = -3*z + i. Let c = z - -76. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37664.1, 0, -2\/17 in increasing order.\nAnswer: -37664.1, -2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 144 - 1806 = 0. Let p = a - 91. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84414, -84699, -84984, -85269, -85554?\nAnswer: -85839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79332 is divided by 1393.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/12)\/((z*z**(6\/7)\/z)\/z)*z**(4\/25)\/z**22 assuming z is positive.\nAnswer: z**(-45739\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2. Suppose -9 = -s + 2*t, -t = -5*s + 2*t + 24. Let i be s\/(1 - -2) - -17. Let p(q) = -i - 8*q + 18. Give m(p(y)).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0036 and 295961.94555.\nAnswer: 295961.94195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*(((-5635)\/(-84))\/(-35) - -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -17.93.\nAnswer: -14.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 130 = -4*g. Suppose -20 = -6*n + g. Suppose -4*j - 580 = -n*j. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 29942?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 + 6 + -10)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592125, 592040, 591907, 591726?\nAnswer: 591497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3 + 3*n**2\/2 + 3*n - 28. What is the units digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19929 - -30430. Is m a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:29 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 629 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*m - 17. What is the units digit of -6*(1 + (-21)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 + 880*g**4 + 36250*g**3 - 8694000*g**2 + 8656875*g = 0 for g.\nAnswer: -95, 0, 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*f - 33, 2*f - 6 = -0*f + 2*m. Put 0.2, 0, f in descending order.\nAnswer: f, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15672 is divided by 1306.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/7 + 8640*h**3\/7 + 13996800*h**2\/7 + 10077696000*h\/7 + 2720977920000\/7 = 0. What is h?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*r - 4 + 4)*(3*r**3 - 2*r**3 + r**3) + 0*r**4 + r**4 - 2*r**4)*(0 - 3 + 4).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 1. Let r be m(1). Solve 0 = 3*k - r - 4, -2*v = -2*k + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 + 1)*(-1)\/(-2). Let f(a) = -5*a**3 + 0*a**3 + 4*a**3 + 6*a**2 - a - 3*a + 7. What is the units digit of f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -1021.\nAnswer: 24\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 7 - -8) + -7 + 4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 3*sqrt(187)*-6)\/(sqrt(44)*2 - sqrt(11))*2.\nAnswer: 38*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*a + 14, -4*a + 16 = -3*p - 12. Let u = 3 - p. Suppose -18*k = -u*k - 30. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/17780 and -61\/68880?\nAnswer: 8747760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 5. Let i = b + 58. Let t be (-910)\/(-1976) + (-2)\/i. Do 1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*z**2 + 48 - 48 - 98*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, 3, -4, -31.8, 1.098, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2 - 2 - 7*g**3 in the form c + u*g + j*g**3 + n*g**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 29. Let t be x*(10\/(-6) + 1). Let a(y) = -y**2 - 2*y + 4. Determine a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a + 78 = 0. Is (-29)\/(42\/a - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*2*sqrt(76)*2)\/(5*(sqrt(4)*-1 + sqrt(4)) + sqrt(48)\/(sqrt(12)*1)))**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away -0.12996?\nAnswer: 0.23996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 265211.82 months in decades?\nAnswer: 2210.0985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 16*t + 29 = -21*t, -3*t = 3*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-3 - 273\/(-20)). Let q be 3\/(-72)*-4 + (-436)\/(-48). Let d = k + q. Which is the closest to d? (a) 2 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(80) + (sqrt(80) + 0 + -3 - sqrt(80)) - (-1*sqrt(80) + -2)) + 1))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7\/(n**(2\/11)\/n)*(n*n*(n*n*n*n*n**(2\/9)*n*n)\/n)**(-47) assuming n is positive.\nAnswer: n**(-32831\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n - 1\/5*n**3 - 4\/5*n**6 - 3\/20*n**4 + 110 + 6\/5*n**5 + 0*n**2. Determine i, given that w(i) = 0.\nAnswer: -1\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4 - 5*o - 14. What is the derivative of b(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 7:06 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22355*m**5 - 7*m**2 + 13*m.\nAnswer: -1341300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 127\/4 + (-6)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/30 + 72*g**2. Let c(t) = -1773*t**2. Determine c(y(h)).\nAnswer: -7092*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 13 + (-1 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from lhhlhhl.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(11) + 2*sqrt(11)*1))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1853313154 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 + 4*i**2 + 2*i + 4. Let h(o) = 10*o**3 - 12*o**2 - 7*o - 12. Let u(v) = 7*a(v) + 2*h(v). Does 3 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (30 + (18 - 41) - 2) + 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42702 is divided by 12987.\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*u + 131 - 50, 2 = -u. What is the tens digit of (1 + (-70)\/t)\/((-2)\/370)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12.3 (b) 30 (c) -1\/9 (d) -41 (e) -2 (f) 3 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 80857893.\nAnswer: -1\/80857893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.11081 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 244976*n. Let p(k) = 3*k. Give y(p(u)).\nAnswer: 734928*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4918252 or -4918430?\nAnswer: -4918430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmceemmmmmme.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 16*w**2 + 17*w + 5. Let c be s(-17). Solve -3*m = -c*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3219 or -1?\nAnswer: 2\/3219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*h + 11 + 168, 2*i + 58 = -h. Let t = h - -158. Suppose -2*z - 4*l + 88 + t = 0, -341 = -4*z - 5*l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6406684 to 2 dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13875970*b*o**3 + 3969*b*o - 477*o**2 wrt o.\nAnswer: 83255820*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f**5 - 1 + 0*f - 2\/7*f**7 + 1\/3*f**3 + 0*f**6 + 0*f**2 + 0*f**4. What is the third derivative of i(j) wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 54. Let k be d(-33). Let s = -43 + k. Calculate the greatest common divisor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -0.0477749.\nAnswer: 3.9522251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*z = -469*z - 112 + 1596 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 237668 - 237319 - 44*o + 474987.\nAnswer: -o**3 - 44*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/4403 and 38\/255.\nAnswer: 66045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*((-28)\/(-14))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.05 (c) 0.4 (d) -5.186\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336111 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*1174791\nAnswer: 2349582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2269126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -4\/3*f**3 + 3*f - 2*f**2 + 22 + 1\/4*f**4. Give a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by -1403?\nAnswer: 128\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 722 + -5777\/8. What is the fourth biggest value in -1, 1\/3, j, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1390 * 22.2\nAnswer: -30858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*o = -0*f - 976, -4*f + 2*o + 978 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (-2*sqrt(500) + sqrt(500)))**2 - (sqrt(5) - (((sqrt(20))**2 - sqrt(5)) + sqrt(5) + 1))) + ((sqrt(30)\/sqrt(6))**2 + 2 - (sqrt(45) + -1)).\nAnswer: -4*sqrt(5) + 2029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31735 - 27?\nAnswer: 31706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 95. Let t(h) be the first derivative of h**2 + 420. Calculate t(d(i)).\nAnswer: 2*i**2 - 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 22*w - w**2 + 3 + 19*w - 38*w - 2. Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 145 + 173 = 0. What is the greatest common divisor of s and 127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/14 + 48\/(-56). Let k(w) = -2 - 5*w + 2*w - 20*w**2 + w + 1. Let r be k(-1). Is a less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1227\/8 - -153. Which is the nearest to 3? (a) 5 (b) -2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Suppose -x - 4*x + 20 = 0. Suppose z = x*l - 2. What is the smallest value in 0.4, 4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Let u(t) = -13267*t**2 - 4*t - 4. Let k(j) = 451035*j**2 + 135*j + 135. Let n(r) = 4*k(r) + 135*u(r). What is i(n(f))?\nAnswer: -342958050*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4 - 3 + 3*m + 3*m. What is the remainder when r(6) is divided by (-257)\/(-17) + 4\/(-34)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127.17 - -128. Let w = l - 1.63. Let t = 0.4 - 0.3. Which is the closest to -2\/5? (a) -4 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18088 divided by 476.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 510 + 138 = 0. Calculate the remainder when 287 is divided by h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12226874201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5503*l**5 - 214*l**2 + 0 - 346*l**2 - 191*l**4 + 5506*l**5 - 1 wrt l?\nAnswer: 180*l**2 - 4584*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84.95 + 94.092. Let x = y + 0.058. Let z = -9 + x. What is the closest to 1\/3 in z, -0.1, 5\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 31*d**3 - 64*d**3 - 3 - 7*d**2 + 32*d**3. Calculate k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*o + 552*o - 12 = 4*b, 10*o - 68 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375570 rounded to the nearest 10000?\nAnswer: 3380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 924*k**3 - 75770*k**2 - 76528*k + 166 = 0.\nAnswer: -1, 1\/462, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -662b (base 14) to base 11\nAnswer: -12312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r. Solve 3*w + a = r, -5*w - 4*a = -a - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utkxlklsllts. Give prob of sequence lssl.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p**2 + 15*p + 15. Let q be b(-1). Let v(o) = -2*o**3 - 17*o**2 + 8*o + 3. Let f be v(q). Solve 0*i + 28 = -4*i - 3*h, -f = 3*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295.4*-8.1.\nAnswer: 2392.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 11?\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305768 and 114404?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*i**4 + i**2 - 78*i?\nAnswer: 348*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48912)\/(-7) + ((-72)\/(-28))\/(-6). Suppose 2*y = -5*p + c, -3*p = -7*p - 3*y + 5584. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 919 + -910. Suppose 42 = -3*v + w*v. Solve v*z - z = 12*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 98, 143, 186?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 15. Let i = 12187 - 12201. Let v(r) = 10*r - 76. Give i*g(c) + 3*v(c).\nAnswer: 2*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 69*u**2 - u + 4. Let l be g(-3). Let n = l + -437. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 26*y**2 - 29*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2724 + -2514. Calculate the smallest common multiple of 40 and s.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-28))\/((-14283)\/(-44436)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 0.01, -3, 9, -0.038, 5, 4?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 2493.9.\nAnswer: -997.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -100*g - 67. Suppose 9 = -3*m + 6*m. Let x(s) = -104*s - 68. Let h(t) = m*j(t) - 4*x(t). Differentiate h(n) with respect to n.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429694 divided by 15\nAnswer: 429694\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*a = -79*a + 124. Let o = a + 64. Suppose 0*i + o*i = k - 853, 2*k + 3*i - 1699 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 65*x - 238. What is the remainder when 192 is divided by f(4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**5 - 19*t**4 - 7*t**2 + 6*t - 7. Let j(q) = -q**5 + q**4 - q**2 + q - 1. Let i(x) = c(x) - 6*j(x). What is the third derivative of i(y) wrt y?\nAnswer: -60*y**2 - 600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-9 - 2) - -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -161*p**4 - 392*p**2 + 211750 wrt p?\nAnswer: -644*p**3 - 784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 92 and -86877 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 11\/3, 1\/6 in decreasing order.\nAnswer: 11\/3, 1\/6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.38 + 54.38. Which is bigger: 0.434 or u?\nAnswer: 0.434","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10925)\/(-161) + (-8)\/(-7). Suppose 20 = -3*b + 290. Suppose -4*y - 5*m = -b, 3*m = -y - 2*y + k. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15358 + -9222. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 14*v - v**3 - v**2 + 15*v + 0*v**2 to the form r*v + x + c*v**3 + j*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwwwwwwwwww. What is prob of picking 2 w?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.44*-7\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 18 = -0*d. Suppose -d = -a - 6. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(1144\/352)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -44*i - 19. Which is bigger: i or -20\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**0*u)\/u)\/u)**(-2\/15))**(-3\/19)\/(((u\/(u*u\/(u\/u**(-1\/4)))*u)\/u*u)**(-1)*u**4*u\/(u\/(u*u**(-5\/2)*u))) assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 12*b - 20. Let s be h(-10). Let w(u) = 2*u**2 - 21*u + 9. Let n be w(11). Solve s = 2*q - 7*q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54475 divided by 10895\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1633\/15 - -494\/3. Let v be 4*(-20 - -29 - (0 - 3)). Let h = v - u. Are -8 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43, -35, -13, 29, 97?\n\"Answer: b**3 + b**2 - 2*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 5*q - 5*q)*(-1 - 1 - 3)*(-31 - 1 + 3).\nAnswer: 145*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.97 - -8. Let w = l + -0.03. Put 4, -0.4, w in descending order.\nAnswer: 4, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 5*y - 5. Suppose -15 = -0*x + 5*x. Let r(z) = 3*z**2 + 2*z**2 - 10*z**2 - 2 + 6*z**2 - 2*z. Let d(o) = x*f(o) + 7*r(o). Determine d(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**1))**3)**(-40)\/((x**(3\/8)*x\/(x**3\/x))\/(x**(2\/25)\/x**(2\/7))) assuming x is positive.\nAnswer: x**(168587\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*f + 6 + 3, 2*v = -5*f - 34. Let y(p) = p**2 + 4*p - 34. Let u be y(f). Is u > -11\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5586, 60, -0.4?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5265*w**2 - 225*w. Let s(p) = 47*p**2 - 2*p. Determine 6*f(x) - 675*s(x).\nAnswer: -135*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 2718396*h**2 + 615809119455*h - 1231607365350.\nAnswer: 3*(h - 453065)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.08 (b) -4 (c) 0.2 (d) 2\/17 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 5*b**2 - 14*b + 6. Let k be v(7). Suppose -c + 3*c = k. Calculate the least common multiple of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:33 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**4 + 1423*j**3 - 10*j**2 + 700*j.\nAnswer: 216*j + 8538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1963212 less than -14?\nAnswer: -14.1963212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-1))\/3*-5. Let n = 0.03 - 0.03. Let b = n - 0. Sort k, b, -2 in descending order.\nAnswer: k, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = v, 5*k - v - 26 = 0. What is the remainder when k is divided by (16\/10)\/((-20)\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*m - 113*m - 94*m.\nAnswer: -424*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = w. Let m(u) = -3*u**2 + 3 + 5 - 3*u + 2*u**2. Determine m(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -712385?\nAnswer: 712385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 3*o**2 + o**3 + 1\/6*o**4 - o + 0. Let y be c(-4). What is the greatest common divisor of 56 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -127.4, 0.81, -2 in increasing order.\nAnswer: -127.4, -2, 0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 71. What is the remainder when 23 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = v - 13, -4*v + 30 = 3*c + v. Let d(b) = -b**2 - 7*b + 19. Let x be d(-9). Solve s + i + x = 4*i, c = -5*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -261003 and -0.03.\nAnswer: 7830.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 8 - 6 + 4)*(-o - o - o) + (o - 371 + 371)*(-3*o - 3*o + 4*o).\nAnswer: -5*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107744 divided by 32.\nAnswer: -3367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 167701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 14*j**2 - 130*j + 1318. What is q(17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -2\/9, -1, -0.2, 59\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -l + p, -p - 3*p - 24 = -2*l. Suppose 5*u - 47 + 71 = 464. What is the least common multiple of l and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21987 - 21985. Let v be ((-6)\/(-4))\/((-3)\/4). Let k be -7 + p - v - -131. Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1584)*5.\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - p - 11 + 56 - 17.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2386152 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8) - -4*sqrt(8)) - (sqrt(20)\/sqrt(4) + -1).\nAnswer: -4*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 593*n**3 - 3*n**2 + 15*n + 15. Let d(i) = -297*i**3 + 2*i**2 - 9*i - 9. Determine -5*d(v) - 3*u(v).\nAnswer: -294*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98396 is divided by 49044.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129.4 + -29.6. Let t = -159.4 - b. What is the closest to -1 in t, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937193 to the power of 1\/2, to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1143*b + 290*b - 64828 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8893.\nAnswer: 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9 + 4*h**3 - 5*h**3 + 8*h**2 + 2*h - 12*h. Let g be r(7). Let u = g + 18. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35784666?\nAnswer: 2, 3, 29, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - (6 - 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*f**5\/2 + 38*f**4 - 60*f**3 - 160*f**2 + 72*f + 32 = 0. Calculate f.\nAnswer: -4, -2, -2\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*k, -3*i = 4*k - 0*k - 20. Let b(f) = -4 + 5*f**2 - f**3 + 0 - 1 + k*f**2 - 6*f. Calculate b(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -1.4. Which is the nearest to z? (a) -4 (b) 1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -5338\nAnswer: -5337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2504 + 2530. Solve -25*u + f*u + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 7*n - 30. Let b be d(3). Is b <= -5\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:56 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -2*j - 30. Let c(n) = n**3 - 3*n**2 - 3*n + 4. What is the remainder when c(4) is divided by ((-6)\/12)\/(j\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1403664 or -1403660?\nAnswer: -1403660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1229.97 micrograms to tonnes.\nAnswer: 0.00000000122997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 3. Let f = -14 - y. What is the closest to f in -0.5, 5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1611075, 1610963, 1610851, 1610739, 1610627?\n\"Answer: -112*p + 1611187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/22*(-72)\/1620.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + 7*q - 3. Let t(i) = i**2 + 5*i - 8. Let g be t(-5). Let o = 5 - 1. What is the remainder when l(g) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + -1 + (-1 - (1 - 5)). Factor -10 - 19*l - o*l**2 + 2 - 13*l.\nAnswer: -2*(l + 2)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p - 17*p - 4*p)*(0 + 2 - 1) + (0*p - p - p)*(4 + 1 - 3) - 4*p - p + 3*p)*(-7 + 7 - 3*p**2).\nAnswer: 90*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -10*g + 11*q + 113, 5*g - 178 = 4*q + 71 - 84 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((1\/(175\/(-10)))\/((-4)\/20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.074 from -104535.\nAnswer: -104534.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let f be (8 - 6)\/(-3*5\/(-30)). Suppose -2*z + 178 = 5*k, -f*z - 5*k + 370 = -g*k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1045 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*c**3 + 240\/7 + 344\/7*c + 111\/7*c**2 - 1\/7*c**4.\nAnswer: -(c - 15)*(c + 1)*(c + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 28, -10 = 10*u - 8*u - 5*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 1400. Let r(m) = 8. Determine 6*r(w) - t(w).\nAnswer: w + 1448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.239 - 19.239. Sort s, -667, 1\/3 in descending order.\nAnswer: s, 1\/3, -667","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69245, 138350, 207445, 276530, 345605, 414670, 483725?\nAnswer: 552770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n**3 + 713369*n**2 + 762055*n + 48642 = 0. Calculate n.\nAnswer: -1, -3\/44, 16214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(143) + -2*sqrt(143)*4)\/(sqrt(44)*-3) + ((sqrt(1872) + 1)**2*-4 + 1)*-5.\nAnswer: 2887*sqrt(13)\/6 + 37457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + -8.6. Let l = 11.952 + y. Let w = l - -10.048. Is w less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12\/11)*w)\/((w*w**16)\/w))\/((((w\/((w**(-24\/11)\/w)\/w)*w*w)\/w*w)\/w*w*w)\/(w*(w*w**(-1\/5)*w)\/w*w)) assuming w is positive.\nAnswer: w**(-1181\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/9 + 68*a**4\/9 - 56*a**3 - 1220*a**2\/9 - 646*a\/9 = 0. What is a?\nAnswer: -1, 0, 17, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12175 = -5*m, 3*h = -5 - 1. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 391\/7. What is the second biggest value in 1\/4, 5, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6389388 divided by -1597347.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m. Let a(k) be the third derivative of k**7\/2520 + k**4\/12 - 12*k**2. Let l(v) be the second derivative of a(v). Determine l(j(q)).\nAnswer: 121*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31873 - 31672. What is the highest common factor of r and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041819689?\nAnswer: 28871, 105359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 93\/18 - (-6)\/(-36). Suppose 0 = 3*k - 5*y - 448, 4*k = -4*y - 0*y + 640. Suppose -k - 89 = -b*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + 11*x + 15*x**3 + 14*x - 41*x + 15*x as z + a*x**2 + m*x + j*x**3 + q*x**4 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1120?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 12) to base 14.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -7c4487?\nAnswer: 7c448a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:39 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + i - 3*i**3 + 0*i**3)*(0*i**2 - 2*i**2 + 9*i**2).\nAnswer: -14*i**5 + 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13144 - -41717. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44040880 divided by -10.\nAnswer: -4404088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/3 + 20828*z\/3 + 2489665 = 0.\nAnswer: -20463, -365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 7681.\nAnswer: 1\/7681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 278\/3, -7, 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1146 in 0.2, -1, 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 5) to base 12\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3 = -z - 11, 24 = -4*w - 4*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 3*j = -48. Let t be j*(-24)\/20 + (-2)\/(-5). Solve -2*n = -t*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d = 5*a + 23, -2*d + 3*a = -14. Suppose 0 = x - d, -4*n + 5*x = -3*n - 31. What is the highest common factor of n and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3694 + 189. What are the prime factors of r?\nAnswer: 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/52 - 4296\/(-39) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13504 - 13504.02127. Round w to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -464402 and 0.2.\nAnswer: -92880.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 3, -3, 0.1 in ascending order.\nAnswer: -3, 0.1, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28670 by 47.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y + 1 + y - 2*y. Suppose 8*s = -6*s - 14. Let d be z(s). Solve -4*j = -j + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -442\/31 or -14?\nAnswer: -442\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfwfwj. Give prob of picking 1 j and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, m: 2, b: 1, v: 1, z: 1}. Give prob of sequence bm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 18. Let w(j) = 18*j**2 + 7*j + 3. Let l(b) = 53*b**2 + 20*b + 8. Let o(u) = h*l(u) - 11*w(u). What is the lowest common multiple of 4 and o(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o. Let c(t) = t**3 + 16*t**2 + 14*t - 13. Let f be c(-15). Let w(b) = 48*b**2 + 53*b**2 - 98*b**f. Determine a(w(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 170?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19918 + 19914. Sort 9, o, -34, -3 in ascending order.\nAnswer: -34, o, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*i - 35050 = 0, -55*i + 52*i = 4*j - 35038. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1222311?\nAnswer: -1222313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 - (10 - 13) - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 58.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 + 4121?\nAnswer: 40aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*t**2 - 25*t**2 + 3*t**4 + 9*t**4 + 1353*t + 112*t - 9*t**4 wrt t?\nAnswer: 36*t**2 + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2051 in -2, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2408522?\nAnswer: 2, 197, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*s + 9 - 24, 33 = -m - 5*s - 2 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/((-2)\/6). Is 6 a factor of (-35)\/d + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -8.5, -5, 1.68?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 24*m**2 + 4*m - 26. Let a be q(-20). Let r = a + -1015. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 1)*12\/18. List the prime factors of z\/(-13) - 583\/(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2181593 or 2181589?\nAnswer: 2181593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 4, o: 2}. What is prob of picking 1 z and 1 c?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 487 + -485. Suppose -4*b - 12 = 0, 0*w + 2*b = -2*w + 4. Solve -w*r + i*r - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -192 (b) 32 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (748\/(-220) + (-6)\/(-10))*6\/7. What is the closest to 22 in 2, f, -7, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 9. Let m = 1174 - 1170. Give i(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -3 + 2 + -2. Let c = -24 - -34. What is the least common multiple of 2\/z - 102\/(-12) and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*j + 4 = 22, -42 = 2*c + 4*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551769.\nAnswer: 3, 17, 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**4 - n**3 + n**2 + 2. Let t(i) = 10*i**4 - 157*i**3 + 1009*i**2 + 12696*i - 6. Let q(z) = 3*g(z) + t(z). Suppose q(y) = 0. Calculate y.\nAnswer: -6, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvbb when four letters picked without replacement from {u: 4, w: 1, h: 1, b: 4, z: 2, v: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**2 + 6. Let f(d) = 12*d**2 - 13. Let g(q) = 6*f(q) + 13*u(q). Let s(h) = 2*h - 2*h + 0*h - h. Give s(g(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -35. Let p = z + -23. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30423 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/11*((-15)\/(-5))\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365199670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -281452?\nAnswer: 1\/70363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**6\/30 + j**5\/25 - 51*j**4\/20 - 149*j**3\/15 - 73*j**2\/5 - 48*j\/5 + 2695. Determine d so that t(d) = 0.\nAnswer: -6, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5241 + -5680.9. Round v to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2879398 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -3\/7, 422, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2320, -4691, -7062, -9433, -11804, -14175?\n\"Answer: -2371*k + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48696, -194789, -438278, -779163, -1217444, -1753121, -2386194?\n\"Answer: -48698*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.56 - -1. Let b = i + -0.73. Let n = b + 0.2899983. What is n rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = 5*o - 110, -5*c = -25. Let u = o - 16. Suppose 0*w - 3*w + 35 = -2*s, -5*w + 2*s + 57 = 0. Calculate the remainder when w is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927606.9cm to kilometers.\nAnswer: 9.276069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 12. Let t be r(7). Let y(l) = -l**3 + 29 + 8*l**2 - 31 - 4*l**2 - t*l. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {p: 3, g: 3, h: 5, o: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.56 and -4.51491339331.\nAnswer: -5.07491339331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 104 = 79. Suppose -35 = -3*r + 4*v, -2*r - m*v - 3 = 12. Solve k + 3 = r*t, -t = 2*k + 2 + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1475*r - 1477*r - 5*i = 27, r = -i - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366 - 306. Let v be (-2)\/15 + 3968\/p. Calculate the highest common factor of v and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1*1*-85. Let u = d - 115. Let w(a) = a**3 - 5*a**2 - 7. What is the remainder when u is divided by w(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 + d - 1. Let v(c) = 4*c**3 + 4*c**2 + 4*c + 1. Let k(q) = -2*j(q) + v(q). Let g be k(-2). List the prime factors of -3*(15\/g)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6. Let h(l) = -l. Let s(c) = f(c) + 4*h(c). Let o(y) = -5*y. Let g be o(1). Is 7 a factor of s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583*v - 1577*v = -6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.025 + -4. Let l = h + -0.655. Let r = 0.08 + l. What is r rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - o**2 + 131*o - 389. What is m(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x**4\/19 - 13504898*x**3\/19 + 7599277005298*x**2\/19 - 17731590825598*x\/19 + 10132327325192\/19 = 0 for x.\nAnswer: 1, 4\/3, 1125407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.5. What is the third biggest value in 2\/5, t, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 + i - 1. Let r be (6\/13)\/(402\/1742). Let s(x) = 16*x**3 + x**2 + 3*x - 4. Calculate r*s(b) - 9*p(b).\nAnswer: -4*b**3 + 2*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 7 - (4 + -27 - (-90 - -149))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p**3 + 4*p**2. Let o(j) = -175*j**3 - 63*j**2. What is -63*h(t) - 4*o(t)?\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118120699.\nAnswer: 1459, 766361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 13*j. Let a(i) = -5*i**2 + 3*i**2 - 6*i + 2*i**2 - 2*i**2. Calculate 13*a(v) + 6*s(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*m + 22. Let f be (-84)\/m - (-12 + 8). Let q be (270\/(-752))\/9 - (-1)\/8. Which is the third biggest value? (a) 3 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*f**3 + 5 - 2 - 3 - 57*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/(1\/(-9)). Suppose 2*h + 4*v = -4 + 12, 0 = -q*v. Find the second derivative of 4 - h - 3*s**3 - 4*s + 7*s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 30. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -81*b + 3. Let j(t) = -2*t**2 - 4*t. Determine r(j(z)).\nAnswer: 162*z**2 + 324*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**1*t)\/t*t)\/t*t**(-7)*t**(-17\/5)\/(t*t**(-39)) assuming t is positive.\nAnswer: t**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192) + sqrt(12) + sqrt(12)*-1*2)*-3)\/(-6*(sqrt(196) + sqrt(4)) + 4*sqrt(28)\/sqrt(7)).\nAnswer: -15*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c + 264 - 9*c - c**3 + 0*c - 282 - 4*c**2. Suppose 4*m = 2*m + 20. Calculate the remainder when t(-4) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10595 and -1\/14833.\nAnswer: 74165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102.1 + -97.1. Let u be 5\/(-20) + (-12)\/(-16). What is the third biggest value in -0.6, x, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 3*h. Suppose 1 + 3 = -h*t. Find the common denominator of t\/(-6) + (-14)\/24 and -45\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 13. Let o be m\/1*8\/(-10). Is (-4)\/(-16) - (-219)\/o 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 1211372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 36999360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + -2 + 0 + -2*sqrt(3) + ((-1 + sqrt(108))**2 + 0)*-6.\nAnswer: -656 + 73*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5627*p. Let q(r) = -10*r**2. What is x(q(t))?\nAnswer: 56270*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbr when three letters picked without replacement from pppppbrppprrbrprpppp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/12*3\/(-9)*45\/10\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u - 41. Let w(c) = -23*c + 82. Let v(j) = 13*d(j) + 6*w(j). Let y be v(13). Suppose 4*a = 220 - y. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = -g - h + 646, 0 = -3*g + 3*h + 12. Which is the biggest value? (a) g (b) 1\/17 (c) -3 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/180*105\/(-14))\/(10\/(-78))\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10032.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 4. Let v(f) = 3*f + 3. Let a(b) = 2*c(b) + 3*v(b). Let j be a(-1). Suppose j = -2*g + 5*g - 6. Solve 0 = -g*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*g**2\/3 + 284*g\/3 - 632\/3.\nAnswer: 4*(g - 2)*(4*g + 79)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - k**3 - 7*k + 27 - 27. What is the units digit of n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4*v**3 - 85*b**4 - b*v**2 - 11*b + 2*v**3 wrt b?\nAnswer: 12*b**2*v**3 - 1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*m + 293, -2*m - 2*i + 497 = 3*m. What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37787189 to the nearest integer?\nAnswer: 6147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1625.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5 = 0, -5*f + 15 = 17*w - 21*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 68 = -3*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g + 11. Let j be b(4). Let n(c) = 2*c**2 - 37*c - 15. Let s be n(j). Let o(a) = -a**2 + 2*a - 9. What is o(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65386 is divided by 78.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.073 (b) 411 (c) -0.6 (d) 70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4556.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/(3\/8). Suppose 5*g - g = -f*s, 2*s = -4*g + 4. Let b be 0 + -1 + 640002\/g. Round b to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**3 + 38*u**3 - 45*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 16260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, -39, 2 in decreasing order.\nAnswer: 17, 2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32593769 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -374 - -374.197. Let j = -0.303 - t. Which is the nearest to 0? (a) -3 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:24 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 75.9. Let q = u - 2.7. Which is the nearest to 3\/5? (a) q (b) -1\/6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + -5 + -5 + (sqrt(396) - -6*(sqrt(396) + 2*sqrt(396) - sqrt(396))))**2.\nAnswer: -2028*sqrt(11) + 67091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*0 + -2. Let b be 15\/(-6)*1*4. Let l be (-55)\/(-25) - i\/b. Solve -n + h + 4 = 5*h, 4*n - 2*h + l = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 + 400723*c**3 - 3*c**2 - 41253*c?\nAnswer: 48*c + 2404338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*k + 226*k - 415*k = 2435 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 1, 4, -10804, -4 in ascending order.\nAnswer: -10804, -4, 1, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1288)\/12*3*(0 - 3). Suppose -10*q + 194 = -h. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -24*j + 19*j. Let z(b) = -3*b + 1. Let a be z(1). Let q be ((-2)\/3)\/(a\/(-3)). Is j >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18.8, -29, 0, 1 in descending order.\nAnswer: 1, 0, -2, -18.8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5978*v - 5*w + 36 = 5981*v, 5*v - 55 = -10*w for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -406, -419, -440, -469, -506?\n\"Answer: -4*y**2 - y - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 m, and 1 u when four letters picked without replacement from {r: 1, u: 2, b: 1, m: 2, x: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*h - 30. Suppose 3*k + h*y = 2*k - 12, k = y - 7. Is -34\/5 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*p - 136 = 0, 13*g - 8*g + 5*p - 180 = 0. Suppose -57*b - 45 = -66*b. Solve n + 3 = -k - n, 3*k - b*n - g = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147416 divided by -2?\nAnswer: -73708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(39\/7)\/o**29*(o\/(o**(-34)*o))**(-45) assuming o is positive.\nAnswer: o**(-10874\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*z - 88 = 0, 2*y = -5*z - 0*z + 20. Suppose -5*b = -0*b + y. Which is smaller: -24\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 39360 = -9*k. Suppose 69*c = 64*c + k. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -18, -60, -140, -270?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143.83 - 145. What is b rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/3 + 11408*k**2\/3 + 45776*k + 137472.\nAnswer: -4*(k - 2864)*(k + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p**2. Let g be v(1). Suppose f - g*d - 20 = -4*d, -2*f - 5*d = -37. Let y = -21 + f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 16) in base 3?\nAnswer: -12122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1249.1627782439284 + -0.1627787809284. Let u = g - 1249. What is u rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ybb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 140.\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*i - 90 - 768 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 543.591 - 544. What is j rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 - 19*y + 98. Let j be h(5). Solve 0 = -j*u - 19 + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -367, -1535, -2703, -3871, -5039?\n\"Answer: -1168*n + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j + 2. Let k(d) = 6*d - 3. Let x(i) = 4*k(i) + 5*u(i). Let a(n) = -169. Let v(o) = a(o) + 2*x(o). Find the first derivative of v(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/5 - 262*g**3\/5.\nAnswer: -2*g**3*(g + 131)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 + 5*k**2 - 6 - 62*k**4 + 2*k**2 - k - k + 65*k**4 - 2*k**3 in the form x + f*k**2 + h*k**3 + b*k + w*k**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let d(v) = -9*v. Let i(w) = 6*d(w) + 11*p(w). Let c(q) = -318*q**2 + 629*q**2 - 424*q**2. Determine c(i(k)).\nAnswer: -113*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105287 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 21*g**3 + 17*g**2 + 22*g + 27. Let f(o) = -10*o**3 - 9*o**2 - 12*o - 15. Give -11*f(q) - 6*p(q).\nAnswer: -16*q**3 - 3*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828204031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (378\/(-315))\/((-6)\/160 + 0). Let w = k + 3. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 1\/4*h**4 - 3*h**2 - 5\/6*h**3 - 3*h + 0 + 1\/20*h**5. Calculate t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -30 - (1 - 1) - (762 - 755).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11. Suppose -7*t + 472 + 88 = n. Suppose 5*q = -2*b + 84, -5*q + 20 = b - 32. What is the greatest common divisor of b and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 6, -16*r + 17*r - 2*o - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -698*u - 540.\nAnswer: -698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275*(-52)\/(-29172)*51.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/68859?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44 - 44 - 3*u**2 - 15*u wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 7 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 3*n - 35. Let j be v(-5). Solve -114*o + j = -113*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7\/(175\/2510) - (-4)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*w - 3*w**2 - 3*w**4 - 917*w**3 + 452*w**3 + 464*w**3 as l*w + u + r*w**3 + g*w**2 + z*w**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 293 + i**2 + 510 + 2*i - 1000 + (4*i**2 - 4*i**2 - 2*i**2)*(4 - 5 - 1) in the form x + n*i**2 + q*i and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 + i**2 + 54*i. Give p(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab776 (base 13) to base 16.\nAnswer: 4bf11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (20 + -18 - 21 - -13)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 0, -66, 5 in increasing order.\nAnswer: -66, 0, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/9 - 2\/9. What is the closest to 0.2 in f, 1, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*o - 180*o**2 - 157*o**2 + 1 + 0 - 190*o**2 + 555*o**2.\nAnswer: 28*o**2 - 77*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-4)*(-5 - (-9)\/3). Let b = -11 - d. Suppose -31 + 11 = -5*n. Calculate the remainder when b is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r*r*r\/r**(1\/3))\/(r*r**(1\/4)*r*r*r**(-1\/2)))**(-14) assuming r is positive.\nAnswer: r**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 15*g = -23, 0*g + g - 6 + 5 = 2*g for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 46\/6)*-9 + -3 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + x**2 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o**2 + 4. Let i(u) = 17*u + 208. Let l be i(-12). Let t(f) = -10*f**2 - 5. What is l*t(m) + 5*r(m)?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71.512 and -0.02.\nAnswer: 1.43024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6653, 53249, 179727, 426029, 832097, 1437873, 2283299?\nAnswer: 3408317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -11 + 12 + 14 + -13 - 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q, -2*a - 2*q + 47 = -375. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -3.8, 2\/7, 715, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 12. List the prime factors of p\/((-4)\/16) - -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57170 is divided by 18948.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32352 (base 10) to base 13.\nAnswer: 11958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 56. Suppose 7*x = 28 + 84. What is y(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20002221012020 - -10?\nAnswer: 20002221012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 + -206. List the prime factors of 13*5 + z\/(-10).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (24 - 38 - -29)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnglllnllnglllng. Give prob of sequence nl.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9*k*(k*k**(-1\/2))\/k)\/((k\/(k\/(k*k*k\/(k*k**(-5)\/k))*k))\/k**7) assuming k is positive.\nAnswer: k**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.96\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 38*t**3 - 2*t**2 + 2*t - 1. Let z = -7 + 8. Is n(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -58*p - 1. Let k(y) = -60*y - 2. Let v(z) = 4*h(z) - 3*k(z). Let m(n) = -4*n**2. What is m(v(a))?\nAnswer: -10816*a**2 + 832*a - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 5*m + 6. Let r(o) = o + 1. Let a be (2 + (0 - 2))\/(-4). Suppose -i + 22 - 9 = a. Let z(u) = u - 14. Let p be z(i). Give p*d(k) + 5*r(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/87*126\/42 + 0\/1.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(1\/6). Suppose 0 = 3*d - 2*d + 4*b - 133, a*d - b = 438. Let i be (145\/30)\/((-2)\/(-12)). Calculate the highest common divisor of i and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 74.2982ug?\nAnswer: 74298.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u + 2*u)*((-2*u + u + 2*u)*(u - u - 3*u**2) - 2*u**3 - 5*u**2 + 5*u**2).\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 3.6. Let h = -2.2 - -1.2. Which is the nearest to 0? (a) s (b) 7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let q(i) = 66*i**2 - 5*i + 35. Let a(r) = 3*k(r) + q(r). What is the derivative of a(h) wrt h?\nAnswer: 132*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*u = -5164, 9*u - 11*u + 7744 = 3*t. Is t - (2 + -2 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 5. Let n be m(-5). Solve -4*x - 5*s + 20 = -6, n = x + 4*s - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59136 divided by 1408.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14b918 (base 13) to base 2\nAnswer: 1111100110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -874, 14, 2, -30, -1, -5.\nAnswer: -874, -30, -5, -4, -1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 212890 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20187, 40368, 60549, 80730, 100911?\nAnswer: 121092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -2 (b) -2\/13 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 146. Give m(5).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/3 - 2*c**2 + 7*c. Let q be d(-3). Factor 5*y**4 + 17*y**2 - 42*y**2 + 20*y**q.\nAnswer: 5*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -45 (c) -2.17 (d) 1.5 (e) 2\/3 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -27. Suppose -3*n = -n + q - 9, -2*n + t = 3*q. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + 50. Let d(o) = 0 - o**3 - 15 - 3*o - 9*o**2 + 7*o + 3*o. Let m be d(-10). What is the highest common factor of m and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40031 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -69, -72, -75, -78, -81?\n\"Answer: -3*s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/10)\/(4\/30*9).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, b: 2, m: 6}. Give prob of picking 2 m and 2 b.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1156 (base 10) to base 4\nAnswer: -102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3579*v - 3750*v + 3 + 3966*v - 3 + 14041*v).\nAnswer: -35672*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - (-3 + 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -17. What is the third derivative of 7*d**2 - 6*d**l + 59*d - 59*d wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29750755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93876 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:56 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(152) - (sqrt(152) - 3*sqrt(152)) - sqrt(152)) + sqrt(152) + sqrt(152) + sqrt(152)) - sqrt(152)) + sqrt(152) - sqrt(152))\/(sqrt(72)*2).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.21 - -34. Let k = -881 + 880.81. Let x = h + k. Which is the second smallest value? (a) -3 (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = s - 3, 3*h + 2*s + 13 = 7*s. Let z = 42 + -33. Let m = z - h. Calculate the remainder when 19 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -481*h. Let k(w) = 4*w. What is s(k(v))?\nAnswer: -1924*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880631 is divided by 4786.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/23392 and 27\/8?\nAnswer: 23392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*k. Let z be 12159\/(-147) - k\/14. Let p = -31 - z. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-411)\/2466*-24*(-4)\/42*72\/(-16).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324623397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -1\/20*a**5 + 11\/12*a**4 - 6*a**2 + 1\/3*a**3 + a + 0. Is b(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 - 159*r - 396720.\nAnswer: 3*(r - 570)*(r + 464)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1021707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383846 is divided by 3427.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 8:41 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54*(-2 - (-2 + 1)). Let a be ((-32)\/(-20))\/((-138)\/(-4715)). Let k = a + r. Which is greater: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*i - 3 = 0, 2*i = b + 4*i. Let s be 7 + (b\/(-1))\/1. Differentiate 7*m - m - s*m + 7 wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320910950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 4*x + 33, -4*d - 2590 = -x - 2572 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50805 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/18 in -0.4, 0.7, 4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/9 + 40*l**2 - 242*l\/3 + 364\/9 = 0.\nAnswer: -182, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 16*z + 42. Let u be t(17). Let v = 88 - u. Solve 4*d**2 + v*d - 5*d - 4*d**2 - 20*d**2 - 48*d**3 - 4 = 0 for d.\nAnswer: -1, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/7 - 2*w**3 + 54*w**2\/7 - 58*w\/7 + 20\/7 = 0. Calculate w.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2090913*c**2*o**2 - 237*c**2*o - 7407*c*o - 7*o**3 wrt o?\nAnswer: -4181826*c**2 - 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -20 - (-4 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -2*t, 4*n - 2*n = -t. Put 3, 0, 23, t in decreasing order.\nAnswer: 23, 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -1.26. Let t = f - 1.7. Let b = -0.39976 - t. What is b rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302384 is divided by 100753?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-17 + 0)*-1 + 4. Let z(h) = h**2 - 24*h - 1. Let j be z(c). Let d = -1266\/5 + 5529\/20. Is d < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = l - 1, 4*l = -3*r + 26. Let u(g) be the first derivative of -g**3\/3 - g**2\/2 + 5*g - 3. Let h be u(-3). Put -4, l, h in descending order.\nAnswer: l, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2*t**2*w**2 + 13*s**2*t**2 - 2*s**2*t*w - 4*s*t**3*w - 12*t**3*w**2 wrt w?\nAnswer: 2*s**2*t**2 - 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 13. Let o be n(3). Let p be (o\/((-15)\/(-372)))\/((-6)\/30). Let g = -122 + p. Are 15\/22 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 5. Let o be (-1)\/5*4650\/(-310). Let y(q) = 5*q - 6. Let k = -6 - -2. What is k*j(u) + o*y(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 76, 3, 1 in descending order.\nAnswer: 76, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from oghh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 1. Let z = 0.04 - 0.04. Let s = r - z. Is -2\/3 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**3 - 20*k**2 + 306*k - 588. What is g(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120.002468 - 120. Round t to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/3)*t\/(t**(-3)*t))\/((t\/(t**(2\/15)*t))\/t**(-5)))**(-10))**30 assuming t is positive.\nAnswer: t**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 21 - 23)*(0*s + s - 4*s)*(-1 + 2 + 2) as k*s + l and give k.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76828\/11 or -6\/11?\nAnswer: -76828\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384267 is divided by 553.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/11)\/(r*r**3)*r**(-1)*r**(-1\/6))**(-2\/7) assuming r is positive.\nAnswer: r**(347\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(18) + sqrt(90)\/sqrt(5))\/sqrt(9) + 0.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-70)\/(8\/((-8)\/3)). Let f = 84 + x. Calculate the greatest common factor of f and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -418, -415, -412, -409?\n\"Answer: 3*o - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3287 - 3659.37. Round k to the nearest integer.\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -90849.\nAnswer: 1\/90849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/21205096 and 47\/48.\nAnswer: 127230576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -25980000 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 7853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147871090 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -2*r**3\/21 + 6*r**2\/7 - 18*r\/7 + 6. Factor w(j).\nAnswer: -2*(j - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(((-8)\/(-4))\/(-2)). Suppose -220 = l*k - 7*k. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - 0) + (41 - 44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 2*u + 61. Is x(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1504.3 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 3*i**2 - i. Let m be t(-4). Is ((-62)\/(-4))\/(10\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 - -20) + 0 + -2. Suppose 3*w = w + z*f + 140, -5*f = 0. Let x = 104 - w. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnnn when four letters picked without replacement from {n: 7, g: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66099765793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*c**4 - 3*c**2 + 34*c.\nAnswer: -3768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23554.3 * -844\nAnswer: -19879829.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4516, 8964, 13398, 17812, 22200, 26556, 30874, 35148?\n\"Answer: -q**3 - q**2 + 4458*q + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v + 0 + 0 + (-3 + 3 + 1)*(-2*v + 2*v + v))*(73*v + 43*v - 2*v) to r*v + b*v**2 + c and give b.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-620)\/(-1705)*-1*1\/2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - x - 8 = 4*x, 4*u - 64 = 4*x. Suppose -5*w - u = -3*l + 13, 17 = 3*l - w. Solve -l*q + 2 = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 554005302 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118175 and 17545?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22270855.\nAnswer: 5, 37, 120383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 607643190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*b**5 + 21699*b**4 + 1714479*b**3 + 2599893*b**2 + 142980*b - 764100 = 0. What is b?\nAnswer: -566, -90, -1, 5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*n**2 - 20*n + 694 wrt n?\nAnswer: 8*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:36 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1358a (base 11) to base 5\nAnswer: -1104322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -31*h + 1468. Let v be y(47). Solve m + 5*t - 25 = 0, 0 = -m - 197*t + 201*t - v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8548056919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1688713.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-15)*(-2)\/(-4)*-1. Let t = 0.2 - -0.8. Let k = t + 1. What is the biggest value in v, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -21*d**3 - 14. Let g(u) = -52*u + 154*u - 42*u - 63*u. Determine g(n(q)).\nAnswer: 189*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o - 1 - 1\/8*o**4 + 0*o**3 + 3\/4*o**2. Factor i(u).\nAnswer: -(u - 2)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l - 9*l)*(-2 + 2*l + 0*l - 4*l).\nAnswer: 24*l**2 + 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15850 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(3\/4)))**(-42)*(t**(2\/5))**(-1\/12))**4 assuming t is positive.\nAnswer: t**(1888\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70752 and 21.\nAnswer: 495264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30720 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 70*k**2 - 6. Let b(u) = 2*u**2 - 1. Let r(y) = 4*b(y) - l(y). Let v(s) = 7*s**2. Calculate r(v(a)).\nAnswer: -3038*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-2)\/12*420\/(-13965)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1003782 or -1003783?\nAnswer: -1003782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22287\/10 + -2232. Let z(m) = -m + 1. Let s be z(5). Calculate the common denominator of (s + 2)\/(27\/(-23) + 1) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*v**2 + 3*v**3 + 4*v - 15 - 15*v**2 - 2*v - 13*v**2 in the form y*v**2 + q*v + d + o*v**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, 532, 1950, 3930, 6472, 9576?\nAnswer: 13242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k, -f - 274*k + 270*k + 8 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -4, -3\/2, -238.3, -3, 16 in descending order.\nAnswer: 16, -4\/9, -3\/2, -3, -4, -238.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4 - 8 - -4) + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 9 - 9. Let j be 4\/(-11)*(-2)\/4. Which is the third biggest value? (a) j (b) -0.03 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/(-159)*-3). Let p = -1065 - -1069. What is the derivative of -27*j**p + j**4 + 10 - v wrt j?\nAnswer: -104*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 4:25 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 428 = c. Suppose -5*a = -3*a + h + 106, -5*h = -2*a - 118. Let r = a + c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/13)\/f*f*f\/((f**(-30)\/f)\/f))\/(f**32*f*f*f**31) assuming f is positive.\nAnswer: f**(-417\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1, 1711, 203, 4.\nAnswer: -3, -1, 4, 5, 203, 1711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-12) - 1)*40\/(-75). Let m = 4.1 + 2.4. Let s = m - 6. Which is the nearest to p? (a) 0.3 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35492 and 836.\nAnswer: 390412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 97. Let m = i - 59. Solve 2*w = -m*w + 5*p - 26, -w - 3*p = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 2*x**2 - 3*x - 3. Let y = 3 + -6. Suppose 4*d - 68 + 56 = 0. Let l(h) = 5*h**2 + 5*h**3 + 8*h + h**d + 79 - 71. What is y*l(k) - 8*n(k)?\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3. Let q be s(0). Suppose 42 + 3 = 9*v. Solve 2*x = -2*x + 3*l + 11, 5*x + v*l + 30 = q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551716157 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/6435)\/((-90)\/((-31860)\/59))?\nAnswer: -2\/429","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 407612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxx when three letters picked without replacement from {x: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z - 3. Let u(c) = -4*c + 1. Suppose 89*o + 3068 = -74*o + 45*o. Determine o*u(f) - 6*q(f).\nAnswer: 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101436 = 5669*p + 40289 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-9))\/((-429)\/2574)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8187 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53347904 is divided by 5530?\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:02 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*u - 1175 = 0, -u + 4*u = -5*p + 2015. Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*u - 10*u**5 - 29*u - u**5 + 4*u**5 - 2*u**5 + (-2*u**3 - 5 + 5)*(3*u**2 - u**2 + 0*u**2) - u**5 - 4*u**4 + 4*u**4.\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = -3*i. Let a = -24 - -41. Let j = -21 + a. Is i smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:05 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-343575)\/(-5090)*(3 + -1 + 359\/(-160)). Which is bigger: n or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 8. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*((0 + sqrt(700))**2 + -4 + (sqrt(63)\/(sqrt(9) + sqrt(18)\/(-2*sqrt(2)) - sqrt(9)))**2).\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 14. Suppose -38*m = -39*m + 4*l + 10, -5*l - 20 = -2*m. Calculate q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13419522.\nAnswer: 2, 3, 745529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/126*(-210)\/108. Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/30)\/6*-5*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -14. Does 20 divide r\/(-15) - (-531)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 67. Calculate the remainder when 108 is divided by b(-39).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, c: 2, a: 4}. Give prob of sequence cj.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49440259 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84547 is divided by 1433.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -902 (base 16) to base 7\nAnswer: -6503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1295 and 47.\nAnswer: 60865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-4 + 1)) + -4. Let 15*h**2 - 3 + 13 - 24*h - 3*h**3 + q = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**5\/4 - 7*g**4\/6 - 2*g. Find the third derivative of l(u) wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-2 - -3) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/99227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 3*p**2 - 2*p - 1. Determine h(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 7151117 - m - 3575567 - 3575495.\nAnswer: -2*m + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 1 (c) -0.4 (d) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1021121020002?\nAnswer: -1021121020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((-10)\/2 + 2). Let i = 2\/237 - -551\/237. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 50 = 2*a. Let z = -7 - a. Suppose 2*s = z*s - 4. Calculate the lowest common multiple of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -435 + 430. What is the fourth biggest value in 0.5, a, 4, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -87*k**3 - 5*k**2 + 34*k + 12. What is v(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3370224010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 5\/18*u**6 + 0*u + 0*u**2 + 1\/6*u**4 - 8 + 7\/15*u**5 + 0*u**3. Factor n(a).\nAnswer: a**3*(a + 1)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 14 - (-1 - (-7 - -6 - -1))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.9 + 4.9. Let l = 6065622.00047 + -6065569. Let x = u + l. Round x to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12310 (base 4) in base 2?\nAnswer: 110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6883565971+-0.4\nAnswer: -6883565971.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2068.910577 - 2068.9. Round z to 4 decimal places.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*-3 + sqrt(21))\/((3*sqrt(24))\/sqrt(8)).\nAnswer: -35*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2296*s + 5 - 4 + 2933*s - 1 + (2 - 3 + 2)*(1 - 1 + 2*s) - 5 + 2*s + 5 + s + 4*s - 3*s + 1 - 2*s - 1 - 35*s + 17*s - 4*s.\nAnswer: 619*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -255972 = -255971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 233357?\nAnswer: 233363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23609520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*z - 31900 = 70*z - 7*j, j - 23891 = -3*z. Calculate the greatest common factor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -95. Let s(j) = 4 + 52*j**2 - 4 - 48*j**u + 16*j. Let i = -14 - -9. Let d(a) = a**2 + 5*a. Determine i*s(b) + 16*d(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 15*c - 2. Let k(g) = g**2 - 58*g - 16. Let w(t) = t**2 - t + 2. Let h(x) = k(x) + 4*w(x). Let d(f) = -2*h(f) + 9*z(f). Determine d(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.61 + -7. Let d = 0.39 + a. What is the second smallest value in d, -2, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -508033 and 0.2?\nAnswer: -101606.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*n + 39*n + o - 22, 7*o - 4*o - 38 = 2*n - o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r - 2*z + 8, 5*r = 4*z + 11. Suppose -3*v = -5*p + 665, -p - v = -r*v - 133. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.700971 decades to millennia.\nAnswer: 0.02700971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -112*h - 2232. What is p(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 314, 740, 1340, 2114?\nAnswer: 3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 424928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004772 to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(((o*o**(-1\/7)\/o)\/o)\/o))*o\/(o**(-2)\/o))\/(o**(8\/7)*o\/o**(1\/14)))**(-1\/9) assuming o is positive.\nAnswer: o**(17\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) + sqrt(152)*1*-4 - sqrt(152)) + sqrt(152))\/(sqrt(648)*3).\nAnswer: -2*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*3)\/sqrt(5) - (-1*sqrt(72) + sqrt(72) + sqrt(18)))\/(sqrt(1296)*-2 - sqrt(1296) - (sqrt(9) - sqrt(324)*-4 - sqrt(9))).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 5. Let o(y) = -y - 6. What is 2*o(a) - 3*x(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + 93. Determine t(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2723*f**3*p**2 + f**3 + 10*f**2*p**4 - 3860 wrt p.\nAnswer: -5446*f**3*p + 40*f**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (380\/4 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605339112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1311141\nAnswer: 393342.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17749 + -12175. Let r(s) = -816*s - 3. Let b be r(4). Let g = b + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 8. Suppose -2*u - 5 = -d - h, 4*d - 7 = -u. Suppose 8 = -4*f, -3*t + 0*f + 53 = d*f. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000103140617 to seven decimal places.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 16*(4 - 2). Suppose 0 = 3*n + u - 40. Solve -2*y + r + n = 10, 0 = -y + 5*r - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 9 + 15, -3*c + 3*n - 9 - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 48\/27 - 4\/(-18). Solve -p + 1 + 2 = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*o - 1, 3*o + 0*j - 4 = -5*j. Let n(f) = f**3 + 6*f**2 - 7*f + 7. Let d be n(o). Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - 0.1. Let c = 2 + 0. Let p = j + c. What is the smallest value in 0.2, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99493 minus 1786256?\nAnswer: -1885749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5899\/20 - 294. Let r = 3157 + -12699\/4. What is the common denominator of t and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6.5. Sort 0, 2\/7, d in descending order.\nAnswer: 2\/7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - k - 2, -3*w - 3*k = -0*k - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111 + -100?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 56145*p**5 - 112280*p**4 - 20*p**3 + 112290*p**2 - 56125*p - 10 = 0. Calculate p.\nAnswer: -1, -2\/11229, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3794638 divided by -3961.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101315, -101309, -101303, -101297, -101291?\n\"Answer: 6*v - 101321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -13. Let x(y) = -3*y - 2. Let s be x(m). What is the greatest common factor of 57 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1467 and 815?\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 - (8 + 5 + -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (-31 - -37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 17 = -2*a, -32*a + 6*a - 11 = -21*a + c + 64 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - y = 3*y - 13000, 5*t - 2*y - 32488 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/20 + (-164)\/(-16). What is the highest common divisor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*f**3 - 139 + 139)*(26 - 25 + 18) as z*f**3 + t*f + w + l*f**2 and give z.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4129 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrl. What is prob of sequence rml?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 125*m**2 + 64*m + 153. Let i be x(62). Which is smaller: 274 or i?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*w + 99. Calculate the greatest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9240277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 7*p**2\/2 + 7*p + 12. Let u be d(-2). Let y = 31 + u. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 - -0.1. Let m = -0.04 - h. Let t = 0.1 + m. Which is the closest to 2\/5? (a) 4 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 59. Which is the third biggest value? (a) 0.4 (b) u (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:19 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/84*75\/20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**8\/168 - 23*w**7\/735 + 13*w**6\/420 + 19*w**5\/210 - 5*w**4\/21 + 4*w**3\/21 + w**2 + 116. Let n(j) = 0. Calculate j.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 f when four letters picked without replacement from kffkkffkknnknnnknfn.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-10))\/((-2)\/4). Let i(o) = -l*o**2 + 5*o**2 - 3*o**2 + 2*o**2 + 7 - 8*o. Let k be i(7). Solve 2*w + v + 3*v + 20 = 0, 4*w + 3*v + 20 = k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.8 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 - 75*x + 36. Let g(d) = 2*d**2 + 27*d + 1. Let t(l) = -2*g(l) - v(l). Calculate t(-20).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.0945 hours to microseconds.\nAnswer: 3441940200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8544742?\nAnswer: 2, 773, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 19cda?\nAnswer: -19cd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8192*t + 10425 wrt t.\nAnswer: -8192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -22. Suppose y = 4*t, 8*t - 26 = 2*f + 3*t. Let m = f + 16. Calculate the lowest common multiple of m and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/((-15)\/(-180))*(-4)\/24\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -695 + -6448. Let p = 11690 + c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a7 (base 11) in base 6?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.7170489*4.\nAnswer: 90.8681956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 70*q - 508. Give t(7).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 628746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846259.\nAnswer: 846259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4) - 0)\/((-297)\/(-36))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - -0.1009364\nAnswer: -0.5990636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19874959 a multiple of 1612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3 (b) -3\/8 (c) 0.16 (d) 851\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = -5*m - 6, -4*m + 2*c = 10. Let r be -5*m*(-1)\/(-2). What is the greatest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - t. Let v = 32 - 16. Let n = 33 - 18. Let i = v - n. What is c(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 34582433914?\nAnswer: 34582433909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/2))**22)**(-1\/22)*((l\/(l\/l**(1\/2)))**(2\/7))**42 assuming l is positive.\nAnswer: l**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from vshhhsvshhvshsvhhsh?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14519? (a) -5 (b) 5 (c) -3\/2 (d) 0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8 = -5*d, 0 = -4*l + 33*d - 37*d - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -3*l + 18, -42 = -3*l + 5*h. Factor l*s + 7*s**5 + 6*s + 3*s + 5*s**4 - 2*s**3 - 18*s.\nAnswer: s**3*(s + 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 22 = 2*h. Let r = h + 8. Let m be ((-4)\/3)\/1*r. Solve m*l = -5 - 3, -t + 2*l + 1 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 136?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -723897329 and 2635.\nAnswer: -723894694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1483*c**2*p + 2*c**2*r**2 - 3858*c*p*r**2 - c*p - 51369*c*r**2 + 14*r**2 wrt p.\nAnswer: -1483*c**2 - 3858*c*r**2 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1073926, -2147857, -3221788, -4295719, -5369650, -6443581?\nAnswer: -7517512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3705838?\nAnswer: 2, 107, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*t - 127*t - 135*t - 125*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-10 - (6 - 12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 + 13*q - 3. Let z be p(4). Let i = 204 + z. Calculate the least common multiple of 1 and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggllulullllgg. Give prob of picking 2 l.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340061741 + 4.04.\nAnswer: 340061745.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*w + 20*w**2 - 6*w + 64*w - 249 wrt w.\nAnswer: 40*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 725 + 33. Let r = z + -758.4. What is the closest to -0.19 in -5, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(10\/(-12)). Let g be 2\/6 - 532\/(-42). Suppose 13*s - 2*v = 12*s - 9, 3*s = -v - g. What is the nearest to n in 5, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18325\/30 - -2 - 60\/12. Is 608 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34291378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100010111 - 10001100?\nAnswer: 11011010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-299)\/(-9) - (-3 - (-87)\/27). Let j be (-7)\/(c + 2) - 1\/(-5). Solve -4*m - 4*s + 4 = j, 2*s - 1 = -m - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/24 + (-10)\/12. Let r be (z - -1)*(-3)\/(-6). Let a be r + -3 - -1*4. Let p(v) = 3*v**3 + v**2. Give p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*p**2 + 10*p**3 - 24*p**4 + 31*p**2 + 30*p**2 + 0*p**3 + 11*p**3 + 16*p wrt p?\nAnswer: -576*p + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - q - 47, -111*m - 71 = -119*m + 3*q. Solve r = 2*p - 11, -4*p = 5*r - 5*p + m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 39*j**5\/20 - 29*j**4\/12 - 33*j. Find the third derivative of i(h) wrt h.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5814 divided by 2907.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 28*u**2 + 4*u - 57. Let b(o) = 3*o**2 + 9*o - 28. Let s be b(3). Is h(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1053, -1543, -1773, -1743, -1453, -903, -93?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992229 = -0*i - i - 5*k, 3*k + 4961173 = 5*i. Suppose i = 6*h - 2607766. Round h to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:25 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*n + 341*n - 5084 = 0. Suppose 4*l - 20 = 0, 0 = f + 4*l + l - 24. What is the remainder when n is divided by 1\/(f + 14\/13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 2*s - 144. Let g(o) = -2366*o - 22. Calculate f(g(n)).\nAnswer: 11195912*n**2 + 212940*n + 868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 75*l + 1689. Calculate z(49).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 390. Suppose -8*x - 10 = -4*b - 3*x, -3*b = x - 17. Suppose -2*a + 109 = a - 5*g, -b*g = 5*a - r. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 44. Let w be u(-19). Suppose 0 = 2*r + 5*q - 41, 0*q + 5*q = -w. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35086673?\nAnswer: 19, 83, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19438*m**2 + m - 84229 wrt m.\nAnswer: 38876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4745.01 months to centuries.\nAnswer: 3.954175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeoeeo. What is prob of sequence eee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 + 345 - 225)*(l + 0*l + l)*(1 + 2*l - 1 + (-1 + 3 + 0)*(l - 2 + 2) + l - 4*l + 13*l).\nAnswer: 8008*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11952 + 438550.\nAnswer: 450502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, z: 3}. Give prob of sequence zzp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 41184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41850 + -17284035\/413. What is the common denominator of m and 5\/9?\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 4*h**2 - 15*h + 17. Let z be o(8). Calculate the greatest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -28005.38\nAnswer: 840161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 11 - b**3 - 15*b**2 + 23*b**2 in the form v*b + m*b**2 + w + p*b**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 266848, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i - 20. Let f be 0 + (2*34\/(-4) - 0). Let b be ((-5)\/(-2))\/(f\/(-34)). What is the highest common divisor of i and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(700))**2.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (7 + 1 + -1 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-3)\/6 + -2). What are the prime factors of (-8)\/(-10) - (-46)\/g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1341208 by 3.\nAnswer: 1341208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2574685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19535*3\nAnswer: -58605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -2*i**2 + 24*i - 22. Let t be j(7). Put t, -1, -3, 2 in increasing order.\nAnswer: t, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -5 (b) 0.4 (c) 68 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 0.8?\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:24 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:44 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3 - 1. Let z(a) = a**3 - 5*a**2 - 4*a - 4. Let c be z(6). Let n be 14\/c - 6\/3. What is the closest to n in -3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 33*c**2 + 17*c + 21. Let m be d(-16). Let r(i) = 15*i - 9*i - m*i. Let v(g) = 2*g**2 - 142. Give v(r(x)).\nAnswer: 2*x**2 - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 4 - -1 - (4 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 213.\nAnswer: -100\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 = 3*s + 2*b - 673, -5 = b. Calculate the lowest common multiple of 2070 and s.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/10*(-2)\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 18*q**2 - 19*q**2 - 3*q + 0 + q.\nAnswer: -(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7 - 11*d - 27 + 4 + 43. What is j(6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111101100 (base 2) in base 8?\nAnswer: -6754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/7 + 1429280*t**3\/7 + 340474029492*t**2\/7 + 27035340310859408*t\/7 + 27034999838259194\/7.\nAnswer: 2*(t + 1)*(t + 238213)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 11159.30169 to the nearest one hundred.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 7539233.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 4539?\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:43 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 20*n - 52. Let i = 263 + -267. Calculate y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -22. Suppose 2*z + 6 = -3*z + y*l, 2*z = 4*l + 4. Let w = 21 - z. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1291111 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + f - 1621 = -1604, 6 = 3*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 2255761?\nAnswer: 2255760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/3248 and -99\/57536.\nAnswer: 402752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -156, -3, 153 in descending order.\nAnswer: 153, 3, -3, -13, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, t: 2, q: 1, g: 1, i: 4, r: 7}. Give prob of sequence miqt.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/3983327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 251\/7, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = z - 25, -3*z - z + 15 = -3*k. Suppose z = 5*j - 2*r - 1542780 - 18457228, -12 = 3*r. What is j rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n**2 - 3*n + 4. What is the least common multiple of 114 and d(0)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (-19 + 18 + -11 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ommomototmttmmoom. What is prob of sequence toot?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 8. Let n be 2*6*r\/16. Solve 2*o - 9 - 2 = n*g, -4*o = g - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = 155 - 205 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5566788 and 11133576.\nAnswer: 11133576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y**3 - 8*y**3 + 6*y**3)*(-52*y - 40*y + 97*y + 33).\nAnswer: 45*y**4 + 297*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -61*n**3 + 20*n**2 + 7*n + 44. Let r(k) = 15*k**3 - 5*k**2 - 2*k - 11. Let w(u) = -9*r(u) - 2*z(u). Is w(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -503024224*q**3 + 540412853*q.\nAnswer: -3018145344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/252 and -73\/54.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/33)\/((-30)\/(-5))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w + 1 + 3 + w**2 + 4*w - 3*w. Let d(l) = l + 1. Let p be d(2). Let b be n(p). Put b, 3\/2, -5 in descending order.\nAnswer: b, 3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/16 - 17*g**5\/60 + 35*g**2. Find the third derivative of j(u) wrt u.\nAnswer: 1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159403 smaller than 159407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86, -748, -2524, -5966, -11626?\n\"Answer: -92*t**3 - 5*t**2 - 3*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 19.4. Let g = v - -0.6. Let u be 1\/(2*(-15)\/(-6)). Which is the nearest to g? (a) -4 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/6 - -1)\/(-1). Let z = q - -7. Let g = -0.08 + 0.18. Is g at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - (-13)\/(-57). Let w = -3\/152 - q. Let i = 54\/11 - 680\/143. Which is the smallest value? (a) i (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + t - 64 - 26 = o, -48*o + 4*t = -331*o - 960 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**2 - 162*f - 26. Let j be g(-23). Let d(t) be the first derivative of -t**2\/2 + 4*t - 36. Let n(u) = -2*u + 3. Calculate j*d(z) + 4*n(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.315 - -0.215. Which is the nearest to o? (a) -1\/23 (b) 0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/11 + 19586*m**2\/11 + 39166*m\/11 + 19582\/11 = 0.\nAnswer: -9791, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*u - 0*j + 25, 2*u - 10 = 2*j. Let n be (-3)\/6*(-30)\/u. Solve 3 = -n*d - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0015 - -20.9015. Let d = 21 - p. Let j be 1\/(1\/1 + -2). Which is the closest to -1? (a) d (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 7*19\/35. Let b(k) be the second derivative of 2\/15*k**4 + 0 + g*k**2 + 11*k - 4\/15*k**3. Factor b(z).\nAnswer: 2*(2*z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c**2 + c + 161. Let o = -4 + 7. Suppose 0 = 5*d - 4*r + 8, 3*d = o*r - 6 - 0. Is b(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 13*h + 2. Let p be 1*(-4)\/((-12)\/(-39)). Let z be l(p). Let f(n) = 3*n - n**z + 2 - 2*n - 2. Determine f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31614883*o**2*x**2 + 12*o**2*x + 2*o**2 - 4253*o*x + 25*x wrt x?\nAnswer: -63229766*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, -4\/5, -35?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -25*s**2. Let v(w) be the first derivative of w**5\/60 - 7*w**2\/2 - 1. Let h(y) be the second derivative of v(y). Give h(k(c)).\nAnswer: 625*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598 a factor of 59790768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i**9*i*i)\/i)\/i*i)\/i**(1\/12))\/(i**(-2\/7))**(6\/11))\/(((i**(-6)*i)\/(i*i*i**(-9)))\/(i*i**(-1\/4))**(-3\/19)) assuming i is positive.\nAnswer: i**(78599\/8778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7618 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 - 3 = 0. Let q(v) = -3*v**3 - v**2. Let n be q(j). Let t(b) be the third derivative of -b**6\/120 - b**5\/15 - b**4\/24 - 18*b**2. Determine t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4 - 3876*r**3 - 38391*r**2 + 88422*r - 46152 = 0. What is r?\nAnswer: -1282, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49179 - 49176. Let y(z) be the third derivative of 1\/60*z**6 - z**2 + 11\/3*z**w + 0 + 0*z**5 + 24*z + 0*z**4. Differentiate y(i) with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b + 242 + 1. Let l(s) = -28*s. Let a be l(1). Which is bigger: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244\/35 + 46\/7. What is the nearest to 1 in g, 8, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1111745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 27. Suppose -5*z = -38 - 22. Let u be c(z). What are the prime factors of (1 + -202)*(-5)\/u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122304787?\nAnswer: 11, 11118617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8489 and -3\/30038.\nAnswer: 390494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.32 - 14.32. What is the smallest value in h, -4, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4175491, -4175494, -4175497, -4175500, -4175503, -4175506?\n\"Answer: -3*t - 4175488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 1. Let f be y(-2). Suppose f*z + 7 = -3. Are -4 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r + 4*j + 72, 0 = 3*r - j - 78. Solve 5*s + r = -5*t, 0 = s + 4*s - 4*t - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus 257?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 1927*r - 20 + 47 - 449*r to the form b + g*r and give g.\nAnswer: 1478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-26) - 4\/26. Let y = -0.4 + 0.6. Put y, -3, m, 0 in descending order.\nAnswer: y, 0, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3993066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7135426 by 6.\nAnswer: -3567713\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-39) + 4\/26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 24. Let x = -14 + 35. Let m be (14\/x)\/((-22)\/r). Which is the third smallest value? (a) m (b) 3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.33 - 3.67. What is the closest to -0.2 in -2\/21, c, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1245 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 3, 37 in descending order.\nAnswer: 37, 12, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 180733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a - 7a92124?\nAnswer: -7a92085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806848071?\nAnswer: 7, 211, 1223323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 10*d + 11 - 2*d**2 + 22*d. Let h(g) = g + 1. What is 22*h(l) - 2*v(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -6*(sqrt(136)*-1 - sqrt(136)) + sqrt(136))\/(sqrt(8) - sqrt(80)\/(-1*sqrt(10) - sqrt(10))))**2.\nAnswer: 13328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -45*r**2\/2 - 10. Let f be g(18). Round f to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - 0 - 7 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111549 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.06 (b) 0 (c) -0.4 (d) -5 (e) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02678 to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263 + 0.709.\nAnswer: -262.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5466 + 2*f + 2*f**2 - 1160 - 2*f.\nAnswer: 2*f**2 - 6626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:35 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1750 = -0*u - 5*u. Let j = -242 - u. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120778*g**2 + 65736*g wrt g.\nAnswer: 241556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 397481286 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/2 + 78*r**4 + 930*r**3 - 2265*r**2 - 1863*r\/2 + 2187 = 0.\nAnswer: -27, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sclsr. Give prob of sequence slsr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4520126 and 3458?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057771007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 34*u - 218. Give j(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 157*h**2 + 1669*h + 17. Calculate w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 505 + -521 - (-1 - 42)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(90)\/(-2*sqrt(6)))\/sqrt(432))**2 + -4 + -5*sqrt(80) + -2 + 4).\nAnswer: -100*sqrt(5) - 5735\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:10 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/n**(-6)*n)\/n))\/(((n\/((((n*n\/(((n**(-4)\/n)\/n)\/n))\/n)\/n*n*n)\/n)*n)\/n)\/n))\/(n**(-3\/4)*((n*n*n**(-2\/9))\/n)\/n))**(-2\/15) assuming n is positive.\nAnswer: n**(-107\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 8*f**2 - f + 6. Let h be p(-8). Let v be ((-16)\/14 - -2)*h. What is the greatest common factor of 96 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1085.99998866 + 1086. Round l to seven decimal places.\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(5 + 1*sqrt(48) + -1 + 4)**2*4.\nAnswer: -2693 - 1536*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257749 is divided by 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Suppose -10*f + 16 = -2*f. Let m be 14 - (-1 - b - f). Solve 6*h = 2*h - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 69075.46 weeks?\nAnswer: 41776838208000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592244387 to the nearest integer?\nAnswer: 24336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31204 divided by -7801\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*q - 8*q. Let b = -14 + 20. What is the highest common factor of b and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14e6b + 45?\nAnswer: -14e26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*w + 8 = 30, 4*n + 3*w = 20. Determine m, given that 6*m - 47*m**2 - 38*m**2 + 77*m**2 + n = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569 - 111 = -5*y. Suppose 3*m = y + 41. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*p - 980 + 980)*(0 + p + 0)*(2*p - 4 + 4)*(1 - 1 - 1) + p**3 + p - p.\nAnswer: -335*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 26*p - 28*p + 176, -24*i - 4*p = -16*i - 10*i - 8*p + 32 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11111000000 (base 2) to base 10\nAnswer: -1984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 - 364\/(-63). Find w such that -9*w**3 - w**5 + 7*w**4 + 5*w**4 - u*w**4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 w when four letters picked without replacement from fwfwwwfwwwwffw.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18)*4\/8. Put q, 0.4, 0.2 in increasing order.\nAnswer: q, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 135 = 5*d - 0*d, -157 = 4*d - 2230253*s + 2230240*s for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-40 - -1 - (-72 - -29 - -40)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**2 - 3*o - 24 + 24. What are the prime factors of v(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/9))**(-41))**33 assuming b is positive.\nAnswer: b**(-1804\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 86371440 to the power of 1\/2, to the nearest integer?\nAnswer: 9294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 2116 = 10741. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -243\/5*a**5 - 259*a + 0*a**4 + 0*a**2 + 281 + 0*a**3. Find the first derivative of y(r) wrt r.\nAnswer: -972*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077 is divided by 180.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 374a6b + 4?\nAnswer: 374a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4 + 4700*r**3 - 1475295*r**2 + 156074040*r - 455070960 = 0. Calculate r.\nAnswer: 3, 289, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 48. Suppose 25*i + 60 = 15*i. Let p(v) = v**3 + 6*v**2 - v + 1. Let q be p(i). Calculate the lowest common multiple of 8 and y(q).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*o**2\/3 - 26333*o\/3 + 458\/3.\nAnswer: -(o + 229)*(115*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985574 is divided by 698?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27337 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*v - 33*v - 36*v + 48 to the form a*v + u and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18864.6 rounded to the nearest one hundred?\nAnswer: -18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 11. Let d be l(5). Calculate the greatest common factor of d and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let o = 23 + 1. Suppose 5*r = r - 88. Let b = o + r. Let d(y) = -4*y. What is b*d(l) - 10*q(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -518 - -521. Let h(s) = -s**2 + 1. Let k(p) = 14*p**2 + 3. Give d*h(y) - k(y).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 1\/6*g**3 - 1\/60*g**5 + 0 + 0*g + 1\/10*g**6 + 3*g**2 + 0*g**4. Give c(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -21 - (-60 + 90)) + -81?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*l - 1 + (-4*l + l + 2*l)*(0 + 0 - 2) - 4 + l + 4 - l + 1 - 1 + 3*l + 0*l - 4*l + (1 - 2*l - 1)*(0 - 4 + 3) + l - 3*l + 4*l + 9 - 7 - 4 + 78*l.\nAnswer: 79*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285*x**3 + 642 + 133*x**3 - 70*x**3 + 64*x**3 wrt x.\nAnswer: 1236*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657435 is divided by 46943?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161478789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11202 a multiple of 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.2, -1\/3, 0.07, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -95. Let 154*a**2 - 24*a**2 - 23*a**5 + 55*a**3 - 6*a**r - 14*a**4 - 200 - 140*a + 18*a**5 = 0. Calculate a.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -18. Let a be ((-2)\/x)\/(4\/(-12)). Let f(t) be the second derivative of t**3\/6 - t**2\/2 + 3*t. What is f(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4597 by -1.\nAnswer: -4597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + l - 12 = -3*t, -3*t - 4*l + 4461 = 4449 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -143173 - 124*c + 130*c - 3*c**2 - 379*c + 2*c**2 + 143169 as o*c + g*c**2 + y and give o.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 - -140. Suppose w*j - 85 = 2*j. Suppose 0 = -5*i + 3*r + j, 5*i - 9 = -r + 12. Solve i*x = -x - 2*l + 3, 5*x - l + 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141806 divided by 98\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/5)*l)**(-3\/7)*l**(-4)*l\/l**(-1\/16)*l assuming l is positive.\nAnswer: l**(-1517\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 2.08 (c) 818 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 4:56 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -p + 5 + 27, 4*z = 3*p - 16. Let t be (1 + (-4)\/6)*p. Let x = 6 - t. Solve -2*n + 3 = 3*n + 4*f, -n = x*f - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2029*g**2 + 4492*g + 143563108 wrt g.\nAnswer: -4058*g + 4492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000161222 to 7 decimal places.\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) 3\/4 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - -3. Let n = m + -0.7. Put -5, -2\/13, n in decreasing order.\nAnswer: n, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 8*y - 7. Let g be b(5). Suppose -a + 53 = 4*o, -5*o + 55 = -2*a + a. What is the greatest common factor of o and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 - 1122?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 0. Solve -4*v = -4*t + 28, b*v - 2*v - 5*t = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, -3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/35 and ((-15)\/875)\/((-2)\/203)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 + 5*w**2 - 3*w + 4. Let b(m) = -940*m**3 + 2824*m**3 - 936*m**3 + 6*m**2 - 4*m + 4 - 943*m**3. Give -3*b(t) + 4*y(t).\nAnswer: t**3 + 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*((sqrt(3) - (sqrt(3) + sqrt(432)*-2)) + (sqrt(75)*-5 - sqrt(3)) + sqrt(3) + -1))**2.\nAnswer: 150*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 1, l: 2, y: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3 + 28 = 0. Suppose 14 - c = h. What is the remainder when 61 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7 and 17\/352.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 123906138*m - 1279394252839587.\nAnswer: -3*(m - 20651023)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and -3092.\nAnswer: -3091.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100 and 265.4.\nAnswer: -26540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.28 - 2.98. Let l = 1\/12 + 5\/84. What is the nearest to 2 in -2, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 73*(-3 - -2 - -2). Suppose z + 4*a + a + i = 0, 4*z - 5*a + 242 = 0. Is (-2)\/9 - 13559\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -25, -40, -59?\n\"Answer: -2*u**2 - 5*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjdkmjjmjjkjdmjmjhj. What is prob of picking 1 d and 1 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270 - m + 7*m - 300 + 581 + 0*m.\nAnswer: 6*m + 551","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1004 + 121003?\nAnswer: 122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 = -3*j - k, 3*j - 5*k - 28 = 0. Let n(w) = -2*w + 14. Let u be n(j). Solve -5 = 3*l - u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from {b: 5, a: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, 7 in increasing order.\nAnswer: -3, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, 3 in descending order.\nAnswer: 5, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 2716.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 60, 58, 20, -66, -212?\n\"Answer: -2*o**3 + 36*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 241033, 240997, 240961?\n\"Answer: -36*r + 241069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65.2013 + 66.2013. Suppose -5*p = -p - 4. Let h be 0 + (-2)\/(-45)*1. Which is the nearest to f? (a) p (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -71\/2. Suppose 0 = -2*u + 5*t + 12, -26 = 4*u - 3*t - 22. Sort p, u, -5\/3, -0.4 in decreasing order.\nAnswer: p, -0.4, -5\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 11?\nAnswer: 59\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -229*p + 36. Does 85 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - s - 5\/3*s**2 - 1\/3*s**3.\nAnswer: -(s - 1)*(s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 + 37. Let v(f) = 3*f**2 - 19. Let g = -27 - -23. Let r(i) = g*j(i) - 9*v(i). What is the first derivative of r(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -1659.\nAnswer: -2\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 2)*(-4 + 2). Suppose c - 9 = -b. Suppose -3*s + 193 = b*i - 5*s, 0 = s - 1. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(162\/4)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -43. Is (1 + -2099)*3\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 7. Calculate d(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 6144\/253?\nAnswer: 6144\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + k**2 - 5*k**2)*(-5*k**2 + 5*k**2 + k**3)*(-3 - 4 + 5).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 18*d + 100. Let w be i(18). What is the highest common factor of w and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 19147245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/195)\/((-7)\/5*405\/(-1701)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)\/(y**(-1)*y)*(y*y**(1\/2))\/y**(6\/11) assuming y is positive.\nAnswer: y**(149\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 9*d**2 - 6*d + 9. Suppose -71*v + 6*c + 65 = -70*v, -78 = -4*v - 2*c. What is the remainder when g(6) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3144 + -0.5144. What is the closest to d in 0, -4\/5, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 62250030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g + 16. Let z be u(-4). Let f be (z\/80*-2)\/(2\/(-6)). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 729482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*p - 165 = -86*p. Let z be (-32)\/p - 18\/(-36)*0. Is z not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 5*x. Let n(k) = 2*k**2 + 16*k. Let g(t) = 2*t + 17. Let z be g(-11). Let v(q) = z*n(q) + 16*i(q). Let m(d) = -d. What is m(v(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2795)\/(-344)*(4\/(-10))\/(-1)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 8:08 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 10:55 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oddo when four letters picked without replacement from {o: 10, d: 8, h: 1}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1216, -4, -89.9, -0.1?\nAnswer: -1216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 11*x**2 + 9*x - 14. Let i be r(-10). Let h(d) = -d**3 + 10*d**2 + 11*d - 1. Let p be h(11). Sort p, i, -2.\nAnswer: i, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -787954, -787958, -787962?\n\"Answer: -4*f - 787950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -9*i - 18. Let c be -1 + (3 - 3) + i. What is the highest common factor of c and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1040 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {p: 6, w: 1, l: 7, y: 3, m: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 214617 = 2*h, 12*h + 6 = 10*h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487261517.\nAnswer: 19, 25645343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*f - 42. What is the third smallest value in 5, f, 0.81, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.07428 - -0.95472. Let q = t + -42. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -2, -19255, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -36. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -8 (c) 2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 = n - 413. Solve -22*o = n + 83 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -119*w - 15. Let h(x) = x**2 - 236*x - 30. Let o(k) = -5*a(k) + 3*h(k). What is the tens digit of o(46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72732 divided by -38\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-2 + 1) - -5)*-2. Solve 3*s = 2*h - 16, -y*s - 2*s - 8 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 490384006 to the nearest integer?\nAnswer: 22145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 3*r + 14, -h - 60432 = -r - 60429 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s + 8. Let i be n(-6). Suppose u = -5*c - 32, 4*c = -2*u + i*c - 32. Let g = u - -18. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) + (121 - 6). Find the common denominator of -97\/20 and (10\/20)\/((-7)\/j).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyc when four letters picked without replacement from yycccy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 - 9 = 0. Let b = h - -9. Let m = b + 8. What is the remainder when 11 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxy when three letters picked without replacement from {y: 4, s: 4, x: 2, v: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - -1. Let o = -8 - -2. Let r = -6.3 - o. Put -1, c, r in increasing order.\nAnswer: -1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.6, 6\/23, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1098 - -16259. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125405\/22608 - -22\/1413. What is the common denominator of -3 - ((-7)\/175)\/(2\/(-365)) and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468844 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2 + 2)*(0 + 2 - 1) + 178*q + 123*q - 164*q - 6 - 2*q - 1 + 3*q.\nAnswer: 136*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*j)*(-4 + 4 + j**3) + j**4 - j**4 + 2*j**4 - 2*j**4 - 2 + 2 - 4*j**4 + 14*j - 14*j - 4*j**4 + 0*j**4 + 5*j**4.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 1956*d - 478242 = 0. What is d?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 124?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -89*g**5\/30 - 59*g**4\/6 - 191*g**2. Find the second derivative of l(x) wrt x.\nAnswer: -356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*y - 14, y - 7 + 4 = 4*s. Let h be (-9 + 5)*25\/s. What is the greatest common divisor of 40 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = 4*h. Let k be (h - 2)*1\/(-3). Let v be -1 - (-2 + (1 - k)). Solve -4*q - 6 = 2*z, -v*q - 2*q - 8 = 4*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 18. Suppose 10 = t*l - 11*l. Solve -v + 5 = -l*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1341 - -2086. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*m + 27, -4*m + 1 = -3*q - 1. Suppose q*c - 11*c = -535. Let j = 1185 + -1162. Calculate the remainder when c is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 3:20 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7942 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417*m + 1954*m + 1341*m.\nAnswer: 4712*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h**(-2\/5))\/(h*h\/((h*h\/(h\/(h**(1\/2)*h)*h))\/h))**(-12))\/((h\/(h**1\/h*h))\/(h\/(h*h**2)))**(-3) assuming h is positive.\nAnswer: h**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 8*k**2 + 9*k. Let o be v(-6). Suppose -o = -0*p - 3*p. Let w be (-840)\/(-52) - p\/39. What is the greatest common factor of w and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.8 - 14.8. Which is the closest to 0? (a) m (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37686*c**3 + 2*c**2 + 45*c - 55690979 with respect to c.\nAnswer: -113058*c**2 + 4*c + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/10174398 and -123\/10.\nAnswer: 50871990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -21*h**5 - 414*h**4 + 3795*h**3 - 8820*h**2 + 6756*h - 1296 = 0.\nAnswer: -27, 2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n**2. Let y(a) = a**3 + 7*a**2 + 11. Let f be y(-7). Suppose f*i + 33 = 14*i. Let b(d) = -i*d**2 - 13*d**2 + 26*d**2. Calculate b(v(q)).\nAnswer: 578*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2375\/(-114) - -19 - ((-2526)\/(-468) + -7)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/2)\/(6\/32). Let s = f + -40. Suppose s*m - 4*m = 16. Sort 0, m, 5 in decreasing order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 12 + -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 10*o + 5. Let c be (-5)\/(1*(-1)\/(-1)). Let i(n) = n**3 + 5*n**2 + n - 5. Let g be i(c). Is 4 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*80\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00143202002 to seven decimal places.\nAnswer: -0.001432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196\/3 - -62. Are l and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728971516 less than -4?\nAnswer: -728971520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47866 and 7.\nAnswer: 47866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -410 divided by 2\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 8\/7*h**2 - 2\/21*h**3 + 100\/21 - 30\/7*h = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126044 (base 8) in base 16?\nAnswer: -ac24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y - 3. Let r be f(0). Which is the third smallest value? (a) -3\/11 (b) r (c) 0.5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33255381+8.4\nAnswer: -33255372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61608 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688141698?\nAnswer: 2, 1231, 685679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-21402)*41)\/((-6)\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355753 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, 0, 1\/6, -268\/5 in increasing order.\nAnswer: -268\/5, 0, 1\/6, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7780079449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6621, -0.2, 0 in increasing order.\nAnswer: -6621, -1, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(13)*-3*4 + -2 + sqrt(13) + sqrt(208) + -3.\nAnswer: -31*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 7*r + 6*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 10:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -1010001101111111?\nAnswer: -1010001110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 59 - ((2 - (6 - 2)) + 36).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56090 and 1980.\nAnswer: 11105820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 82390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 410098163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - -64. List the prime factors of (s\/15 - -2)*5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2 - 0. Let x be (1\/(-3))\/(7\/(-42)). Suppose -2 = x*l - 26. What is the smallest common multiple of l and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101028391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/1040*-13*(-15)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {s: 5, b: 1, a: 5, f: 6}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 35*u = -30*u - 50, 4*a = -2*u + 44. Suppose -2*i + 0 = -6. Calculate the least common multiple of i\/(4\/(3 - -69)) and a.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2284343 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47450\/97911 - 2\/8901. Calculate the common denominator of -101\/6 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158614471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = 3. Let x = 2642 - 2637. Suppose -o - 1 - 3 = 0. Which is the smallest value? (a) x (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 4*z**2 - 2*z + 3. Let s be w(3). Solve -5*h + 0*h = -4*j - s, 0 = 3*h + 3*j + 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9744)\/(-4620)*-16 + 12\/22)*(-5)\/(-2)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 - h - 1. Suppose -g + 17 = 20. Let p(n) = 5*n**2 - n - 1. Let t(o) = g*p(o) + 4*w(o). Give t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -31*t. Let m(s) = -87 - 87 + 174 - 2*s. What is r(m(p))?\nAnswer: 62*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100000 + 1100110011?\nAnswer: 10100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105 or -2?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.513, 2\/125, 4?\nAnswer: 0.513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 3*g + 2*g + (2 + 2 - 5)*(-2*g + 0*g + 3*g + ((3*g - 3*g + g)*(-3 + 0 + 1) - 43 + 43 - 2*g)*(7 + 33 + 6)).\nAnswer: 188*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 66.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9174 divided by 3058.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + m**3 + 0*m**3 + (-1 + 0 - 1)*(m**3 + m - m))*(-4*m + 2*m + 0*m)*(0*m - m - 14*m).\nAnswer: -120*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 301?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -15*v**2 + 108*v - 444. What is y(4)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4524736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.661 + 1.961. Sort 1\/4, 815, j in descending order.\nAnswer: 815, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + (-4)\/(-3). Suppose 0*q = o*q - 30. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.56449 + -1.3889. Round w to 3 dps.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k + 39*k = -82*k - 82*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 3*c**2 - 4*c + 5. Let j be k(-4). Suppose -9 = -3*s + 3*r, 2*s - 2*r = r + 3. Put s, j, -3\/2 in increasing order.\nAnswer: -3\/2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 11. Let p(o) = -239*o + 731*o - 256*o - 236*o - 2*o**2. Give r(p(y)).\nAnswer: -12*y**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1ec3a4 (base 16) to base 3\nAnswer: 10210102122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2944*b - 8446 = -19509 + 95613 + 139194 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*h - d, -3*h + 14 = d + 1. Suppose 0 = 3*j - 0 - h. What is the second derivative of j*v + 2*v**4 - v**4 + 3*v - 4*v wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 3*i. Let t be k(-3). Suppose -3*n + 3 = -t. Suppose f + n - 25 = 3*u, -96 = -4*f + 3*u. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -326 and 3.\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*s = 409*s - 7. Put -1, s, -7, 17 in ascending order.\nAnswer: -7, -1, s, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/9 + 1006*f**2\/9 - 56062*f\/9 - 57070\/9 = 0. What is f?\nAnswer: -1, 65, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819223*0.3.\nAnswer: 245766.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -595, -2401, -5413, -9631, -15055, -21685, -29521?\n\"Answer: -603*k**2 + 3*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/68, 0.2, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 10*o**2 + 10*o + 7. Let a be s(-11). Suppose 2 = 2*n, n + n + a = 4*u. Let h = -3050 - -3051. Calculate the remainder when u is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o + 11. Let q be s(-1). Let l be (3 - (-26)\/(-8))\/q. Which is the closest to -0.05? (a) l (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135415271 - -1?\nAnswer: 135415272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 - -317. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Let i = h - 0.3. Let r be (6\/4)\/((-27)\/(-4)). What is the third smallest value in r, 1\/6, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8424 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*j**2*m**2 - 67*j**2*m + 61*j**2 - 1357*j*m**2 - 2*j + 101 wrt m?\nAnswer: -234*j**2 - 2714*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0*d**5 + 0*d**4 + 1\/420*d**7 + 0 + 16*d**2 + 0*d**3 + 1\/240*d**6 + 0*d. Factor a(g).\nAnswer: g**3*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 - 105. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.079 in -25\/4, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -5*f**5\/4 - 15*f**4\/4 - 5*f**3\/2 + 5*f**2\/2 - 13*f. Factor s(x).\nAnswer: -5*(x + 1)**2*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-18) + (-2)\/2. Let n = -1 - -5. What is the nearest to 1\/3 in t, 2, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/11, 2\/9, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.052, -2, -0.5.\nAnswer: -2, -0.5, -0.052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32030 - 334008 = -13*d + 637935. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4894, -4383, -2986, -259, 4242, 10961, 20342, 32829?\n\"Answer: 74*n**3 - n**2 - 4*n - 4963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -526?\nAnswer: 47.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960.9 take away 0.00447?\nAnswer: 5960.89553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 37*r**3\/3 + r**2\/2 + r - 1317. What is l(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 27*m**3 + 0*m**3 + 0*m**2 + 6*m**3 - 7*m**3 to the form s*m**3 + y + j*m**2 + a*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/(-36)*1335\/(-89).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13994870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 280 - 261. Let o = 23 + u. What is the remainder when o is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58 plus -9371937?\nAnswer: -9371938.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (19 - 23) + 6 + 1 + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 88 - 20. Suppose u - h - 45 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35122 and 9520.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/114 - 7684\/76. Let x = j + 103. Suppose t = x - 4, -4*t = 4*p - 16. Solve -y + p = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8))**29 assuming i is positive.\nAnswer: i**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410132?\nAnswer: 2, 102533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 2*w - 90, -2*q = -5*w + 257. Let g(i) = -3*i + 53 - w + 0*i. Let k(r) = -2*r**2. What is g(k(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 64 = -23*t. What is the remainder when -24*(t - 34\/(-18))*36 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297.44 at most 0.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2335762 and 31317?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5617 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -4*q - 5*b, -7*q = -9*q - 5*b - 64. Factor -3\/5 - q*l**2 - 18\/5*l.\nAnswer: -3*(l + 1)*(5*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 23*k. Let y be g(15). Let f = y + -51. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*g - 27 = 0, -3*g = 3 - 6. Calculate the greatest common divisor of 4563 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59973 or 3058613\/51?\nAnswer: 3058613\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15721 - 15486. Solve -85 - w = 40*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g**3 - 2*g**2 - 1)*(-1 + 0 - 1) - 2*g + 2*g + 2*g**3 + (2*g**2 - 4*g**2 + g**2)*(-3*g + 4*g - 3*g) + 3*g**3 - g**3 - g**3.\nAnswer: 9*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -148, -514, -1116, -1948, -3004, -4278, -5764?\n\"Answer: c**3 - 124*c**2 - c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96963409*q**2 - 45611304*q - 5363856.\nAnswer: -(9847*q + 2316)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17565317747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*v - 9*v**2 - 108*v + 51*v to the form a*v + j*v**2 + s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 6859?\nAnswer: 6859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**3 - 2238690*a**2 + 3*a**3 + 2238650*a**2.\nAnswer: -26*a**3 - 40*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.9481 millilitres to litres.\nAnswer: 0.7269481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4885932 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2\/13, -3, 54, 6 in decreasing order.\nAnswer: 54, 6, 1, 2\/13, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43720 + 87435\/2. Which is smaller: -763 or q?\nAnswer: -763","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -1625.5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117333703 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 54621114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**6\/120 - s**4\/24 + 7*s**3 - 16*s**2 - 2*s. What is the derivative of k(r) wrt r?\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*s**3 - 1598513*s**2 + 13480826*s wrt s?\nAnswer: -60*s - 3197026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxyupyypuuuuy. What is prob of sequence xu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {h: 3, b: 2, l: 1, r: 1, i: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 120, 114, 100, 72, 24, -50, -156, -300?\n\"Answer: -g**3 + 2*g**2 - 5*g + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from uuggguppppppguu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.173 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 530599\/3339 - -116\/371. Let q = g - 159. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.061 - -2.589. Let m = q - 2.6. Let y = m + -1.65. Is y <= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-11 + (5 - -19))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844688.\nAnswer: 2, 13, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15236 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 1120 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l - 1. Let s be u(3). Let f = s + 22. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 607, 635, 765, 1045, 1523, 2247, 3265?\nAnswer: 4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4026\/15 - 5 - 2\/5. Differentiate -2*l**4 - n*l**4 - 27 + 53 - 6 + 11 wrt l.\nAnswer: -1060*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/24)\/((-2)\/4) + (-2)\/3. Let b(x) = 34*x + 1. Let t(p) = p. Determine i*b(g) + 6*t(g).\nAnswer: 40*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16729306 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let y(i) be the first derivative of -2*i**2 + 22. Determine y(h(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12692.\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46146 - -62021. Calculate the greatest common divisor of g and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5739.957 millilitres to litres.\nAnswer: 5.739957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 85 = -5*h, -14*v + 70 = -10*v + 3*h. What is the third derivative of 132 + 169*c**5 - 10*c**2 - 141 - v*c**5 wrt c?\nAnswer: 9000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o**3 - 163*o**3 - 266*o**3 - 312*o**3.\nAnswer: -673*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82\/6 + (-12)\/18. Let l = s + 17. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 12408 - 9922 = 0. Is -2237 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171d (base 14) in base 8?\nAnswer: 10057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21442, 43661, 67418, 93481, 122618, 155597?\nAnswer: 193186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, g: 3, j: 4, p: 4}. What is prob of picking 2 g?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -37, -133, -279, -481, -745?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-29)\/((-1827)\/14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102030 (base 4) in base 8?\nAnswer: -2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + 140. Let y be (u\/(-35))\/(4\/(-10)). Find the second derivative of 2*h**y + 5*h + 0*h**2 - h - h wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412658 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 23*a**3 - 69*a + 3 - 5 + 85*a.\nAnswer: -23*a**3 + 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162, 163, 164, 165, 166?\n\"Answer: q + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29389 - 88166\/3. What is the closest to j in -1\/10, -447, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2489464257+0.051184\nAnswer: -2489464256.948816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12*b + 1. Does 23 divide n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -17 + 3. Let h(k) = 6*k**2 - 1. Let f be h(1). Solve 2*o - f*o = r + l, 0 = -r + 5*o + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 9*c - 7. What is m(6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3535, -20, -2 in ascending order.\nAnswer: -3535, -20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119839\/36690 + 1\/2446. What is the common denominator of -29\/54 and k?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 16*d**2 + 2. Let y be p(-16). Find the second derivative of -1 + 160*q**2 - 35*q - 175*q**2 + y wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 267 + 57432*h + 47882*h.\nAnswer: 105314*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-63330)\/7917)\/((-1775)\/(-175) + -10)?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*t**2 - 1023*t**2 + 2040*t**2 + t**3 + 29*t**3.\nAnswer: 30*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7011339*r**3 + 3797556*r.\nAnswer: 42068034*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11311430 + -3?\nAnswer: -11311433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x - 225*x**2 - 19*x**2 - 46*x**2 + 22*x**2 - 17*x.\nAnswer: -268*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(170) - sqrt(170)*-2) + sqrt(170) + sqrt(170)) + sqrt(170))\/(sqrt(250)*-3))**2 + -3.\nAnswer: 1013\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -575954.8983 rounded to the nearest one thousand?\nAnswer: -576000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -f, 5*f + 29 = a + 9. Let r be 4*f\/10 + 4 + 3. Solve 0 = -w + 4 - r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m - 9*m - 25*m + 3*m - m - m + 2*m + 0 + 0 + (-2*m - m + 2*m)*(0 + 0 - 1) - 2 - 2*m + 2.\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 971510\nAnswer: 13\/971510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*24*(12\/(-8))\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/114)\/((-150)\/(-5700))*(2*47)\/2?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 644647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -37.6. Let q = j - -3.6. Which is the smallest value? (a) -2 (b) q (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 68. Let l = 57 + b. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 646?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(22)\/sqrt(2) + sqrt(11))**2 + -3 - (sqrt(33)\/(sqrt(12)\/sqrt(4)) - sqrt(11))) + (2*sqrt(22))\/sqrt(2)*4)*2.\nAnswer: 48*sqrt(11) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006154792 to 5 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*(-153)\/6)\/((-6)\/(-8)). Suppose 59*f - 61*f = -p. What is the remainder when 27 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4\/7 + 24942*u**3\/7 + 49296096*u**2\/7 - 1522937856*u + 30058119168 = 0.\nAnswer: -4256, 22, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 3:51 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + d + 2 + 7*d**2 - 9*d**2 - 4*d**2 + 2*d in the form w*d + m*d**2 + j*d**3 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 431857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -c + 16. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 14096*b + 29256*b + 27361*b.\nAnswer: 42521*b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 25*y**2 + 60*y + 12. Let v(m) = -45*m**2 - 118*m - 22. Give -11*i(q) - 6*v(q).\nAnswer: -5*q**2 + 48*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/10 - (-20)\/(-50). Let g(a) be the third derivative of -a**4\/24 - a**3\/2 - 19*a**2. What is g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -308.8 - -309. Which is the second smallest value? (a) -2\/5 (b) 65\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 1583993*k - 2*k**2 - 1583950*k - 3*k**4 as u*k**2 + s*k**3 + y*k + m + t*k**4 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 38, 2, -151 in decreasing order.\nAnswer: 38, 5, 2, -4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, l: 1, o: 11}. What is prob of picking 1 l and 1 k?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/3 - 3134*z**4\/3 - 134810*z**3 - 14359850*z**2\/3 - 46614848*z\/3 + 51318248 = 0.\nAnswer: -1429, -67, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.213 (b) 49 (c) -0.06 (d) 10\/11 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3678, 3679, 3680?\n\"Answer: f + 3677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -786*c**2 + 1570*c**2 - 791*c**2. Let g(r) = 2*r - 6. Give t(g(d)).\nAnswer: -28*d**2 + 168*d - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(6*(-1 + sqrt(7) + (sqrt(448) - (sqrt(448) - (2 + sqrt(448))))**2) - (1*sqrt(28)*-2)\/(sqrt(32)\/sqrt(32))).\nAnswer: 6060*sqrt(7) + 81180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + 104*j**2 + 56*j - 24. Let i(q) = -q**3 + 21*q**2 + 11*q - 5. Let b(f) = -24*i(f) + 5*x(f). Solve b(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: bdcd3 (base 16) to base 10\nAnswer: 777427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712.2705 - -0.3?\nAnswer: 1712.5705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127941315 a multiple of 2427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565306 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*j**4\/8 - 546*j**3 + 1503*j**2\/4 + 141*j + 87\/8 = 0.\nAnswer: -1\/7, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -112133?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*k**2*q**3*u**2 - 2*k**2*q**2*u - k*q**3*u + 870*k*q**2*u - 523*q**3*u**2 wrt u?\nAnswer: -194*k**2*q**3 - 1046*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -23*t**2 + 17*t + 301. Let w(v) = -4*v**2 + 3*v + 50. Give -6*u(o) + 34*w(o).\nAnswer: 2*o**2 - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 11, 2, 47 in ascending order.\nAnswer: -5, -1, 2, 11, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9228 take away 86415?\nAnswer: -77187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 38. Let r = 421 + x. Suppose 3*z - 5*w + 10*w - 300 = 0, w - r = -4*z. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2\/5 + 186378*h\/5 - 17572548\/5.\nAnswer: 6*(h - 94)*(h + 31157)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:05 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b + 3. Let q(u) = 68*u + 10. Let y(f) = 10*g(f) - 3*q(f). Let z(n) = -11*n. Calculate z(y(a)).\nAnswer: -176*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + 30 = 0. Suppose d = -3*j - 7, 4*d + 4*j - 4 = t*d. What is the closest to 1 in 8, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-27350\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 10*f**2 + f - 2. Let k be w(-10). Is ((-16)\/k)\/((-2)\/(-117)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7\/5)\/i**9)\/((i*i**9)\/i**(-5)))**(-21\/5) assuming i is positive.\nAnswer: i**(2667\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188 is divided by 1041.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 18, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1))**(-24))**(-2\/61))**(-18) assuming b is positive.\nAnswer: b**(864\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155961\/7 or -22281?\nAnswer: -22281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 2*a + 88, 3*x + 280*a - 276*a = -52 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/5, 0.1, 0.04.\nAnswer: 0.04, 0.1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/(42\/(-2))). Suppose 5*x - 4*w - g = 0, 2*x - x = -w + 6. Suppose -5 = -5*t - 0. Which is the closest to t? (a) 2\/5 (b) -4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c - 16. Calculate the remainder when 172 is divided by o(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1045824*c**2 + 3*c - 1045351*c**2 - 3*c to b*c**2 + g + j*c and give b.\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1914)\/261 + 0 + (-2)\/3. Sort 5, -1, 0, s in descending order.\nAnswer: 5, 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 16 = 3*f, -f - k = -3*k + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76926.15 micrograms to grams.\nAnswer: 0.07692615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 69352723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228522785 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + p - 17, -8*m - 44 = 86*p - 90*p for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let h be v(2). Sort 0, 38, h in increasing order.\nAnswer: 0, h, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3306046, 3306054, 3306076, 3306118, 3306186, 3306286?\n\"Answer: s**3 + s**2 - 2*s + 3306046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416350 is divided by 2275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*o + 42, 0 = 3*o + 2*r + 3*r + 3. Let v(f) = f - f**3 + 0*f**2 - 4 - 2*f**2 + 11. Let p be v(o). Round p to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**4 + 1. Suppose 5*q = 51 + 4. Let c(k) = -36*k**4 + 6. Let u(w) = q*n(w) - 2*c(w). Differentiate u(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 - 267.999999492. What is r rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 5*d + 5. Let c(y) = y**2 + 6*y + 6. Let f = 10 + -14. What is f*c(a) + 5*u(a)?\nAnswer: a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 1\/6*u**5 + 1\/2*u**4 + 0*u + 0 - 2\/3*u**3.\nAnswer: u**2*(u - 2)*(u + 2)*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*-1 + -27 + 8. Let g = 36 + h. Let l = g + -10. Solve j - 3 = -l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-10)*k))\/k**(-1\/3) assuming k is positive.\nAnswer: k**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -404\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12623.6 - 12626. Which is greater: 7\/33 or t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - o**2 + 1 + (-1 - 2 - 2)*(-3*o**2 + 0*o + 0*o) to x*o + m + h*o**2 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -930938961*d**2 + 180003069 wrt d?\nAnswer: -1861877922*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16684379 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*g - 127*g**2 + 50*g - 178*g + 126*g**2 + 49*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 r, and 1 n when four letters picked without replacement from {v: 5, a: 2, e: 2, n: 2, r: 2}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.968 + -0.032. Let w = 35.6 + i. Let c = 3 + w. Put 0.5, 0.3, c in ascending order.\nAnswer: c, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 3. Calculate f(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-1\/8)\/((s**(2\/5)\/s*s)\/(s**(-3)\/s*s)) assuming s is positive.\nAnswer: s**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -136*(-2 + 0\/(-1)). Let r = o + -161. What are the prime factors of r?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 27683 (b) -1\/6 (c) 0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8699*x - 1505*x + 418364 = 0 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9738 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1588, 2729, 3898, 5095, 6320, 7573?\n\"Answer: 14*r**2 + 1099*r + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6113515mm to nanometers.\nAnswer: 611351.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31714.\nAnswer: 2, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*o**3 + 13 - 23 - 2*o**2 + 22*o**3 - 7*o**4 - 18 + 5*o**3 as c*o + p + n*o**3 + t*o**2 + k*o**4 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(40)\/(sqrt(24)\/sqrt(3)))**2 + 5.\nAnswer: -24*sqrt(5) - 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 24*h**2 + 44*h - 1035. Calculate the smallest common multiple of g(24) and 262.\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:02 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16164 and 35\/10350348?\nAnswer: 31051044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84766532.7746 - -0.2.\nAnswer: -84766532.5746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 410.\nAnswer: -24\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 8:36 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29021616 a multiple of 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 155. Let l = a + 77. Solve -2*i = -l*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from eeaeeaaazee?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256807*g + 259367*g - 523844*g.\nAnswer: -7670*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 4 (c) -0.5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*i - 5*w, -5*i - 2 = -5*w + 3. Let p be ((-9)\/(-4))\/((-1)\/i). Let b be -1 - (-1 - 6\/p). Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -574*n**3 + n**2 + 2*n + 1. Let y be u(-1). Let g = -165 + y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2860 and 235664.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = -34. Suppose -3*l + 5*m = -43, -2*l + 4*m - 7 = -d. What is the tens digit of l\/(-33) - 10486\/(-77)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 14, 77, 170?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -12597)*625\/(-750) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 174. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310587810 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 2*v + 3. What are the prime factors of u(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 13*v + 36. Let y be g(-6). Solve y*s - s - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-1677))\/(14\/21)*32\/16?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*u + 2 = 270*u, 5*u = 4*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -91, -38, -81, -268, -647, -1266, -2173?\n\"Answer: -8*q**3 + 109*q - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 398?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11456*f**5 + 3*f**4 + 5*f**2 + 480*f?\nAnswer: -687360*f**2 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b - 11. Let x(j) be the first derivative of -2*j**2 - 5*j - 1. What is -6*u(o) + 13*x(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 + 8*i - 6. Let g be (7\/(-3) - -3)*9. What is y(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.64308mm in kilometers?\nAnswer: 0.00000464308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 - 22*b**2 + 2*b - 12. Let v be c(5). Let z be ((-4)\/30)\/1 + v\/(-15). Put z, 4, 61 in descending order.\nAnswer: 61, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 1}. What is prob of sequence gj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 79*d**3 - 25*d**2 - 6*d - 2. Let x be b(-20). Let t = x + 365882. Round t to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115296 (base 10) in base 3?\nAnswer: 12212011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r - 39. Let w(y) = 4*y + 20. Calculate 11*w(u) + 6*x(u).\nAnswer: -4*u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36006611 times -5\nAnswer: -180033055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22*v + 7. Determine g(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -300905 (base 15) to base 6\nAnswer: -120512135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.6 + -19.6. Let o = -6 + 6.4. Put q, o, -1\/3 in decreasing order.\nAnswer: o, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 9) to base 5\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**2 - y**2 + 2*y**2 + (-2*y - 2*y + 2*y)*(0*y + 0*y + 3*y) as m*y + g + o*y**2 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*w - 3*v - 30, -3*w - 2*v - 13 = 0. Let g = 0.04 - -0.46. Which is the nearest to -0.01? (a) w (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0649 - 23.9351. Let m = -24.31 - s. Which is smaller: -8 or m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + d + 5*d + 73 = 0, g - 159 = -g + 9*d - 40 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07935 take away -167?\nAnswer: 166.92065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -6 + 9 - -30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.999918 + -54. What is n rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 33 + 3. Let p be -3 + 1 + -3 + c. Let z = -2 + p. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - d + 2. Let h(x) = 2*x + 38. Let a be h(-20). Let j(r) = -2*r**3 + 3*r**3 - r**2 + 0*r**2. Determine a*j(q) - w(q).\nAnswer: -2*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 24*j + 1332. What is b(-54)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -19, -2\/13, -1, 1\/3, -9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 1271?\nAnswer: -28\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 6 = -17*r. Let h(y) = -11*y + 6. Let l be h(r). Suppose j - l - 85 = 0. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2085350060 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1430.8321 + -1431. What is d rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*b + 6 = 6*b, -b + 15 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27*c**3 - 1. Let y be f(1). Let x = y + 66. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, r: 8, z: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 47582*u\/7 - 5402304\/7.\nAnswer: 2*(u - 23904)*(u + 113)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 5*y + 10, -4*y = -20*a + 21*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5940 = 96*b - 276*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22829980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5740*j**3*p**3 - 2*j**2*p**2 - 161793*j*p**3 wrt j.\nAnswer: 34440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14444)\/(-138) + -98)*(-36)\/10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 233*f + 3965. What is s(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-14)*-5*(-252)\/2430. Put y, -1\/2, 245 in descending order.\nAnswer: 245, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 50869*h + 50869*h + 5*h**3 - 137 + 130.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/31)*n**(-2\/15))\/(n**34)**(-43))**(-47) assuming n is positive.\nAnswer: n**(-31969541\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - j + j - 5 - 903*j**2 + 904*j**2 in the form w*j + g*j**3 + a*j**2 + k and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - 2*r**2 + 3*r**2)*(358 - 49 + 211) to the form x*r**2 + w + y*r and give x.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 662\/5, -10.8, 2\/7, -1\/9, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 66. Let a = k + 93. Let i = 47 - a. What is the biggest value in 4, i, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 5d9159?\nAnswer: 5d915b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546293 + -0.3.\nAnswer: 546292.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(-1 + sqrt(833) + 0) + -3 + (sqrt(833) - sqrt(833)*1) + 2 + sqrt(833) + 1 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.35 + 0.15. Let z = 247 - 257. Let u = x + z. Sort 2\/13, u, -0.3 in increasing order.\nAnswer: -0.3, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/2 - 391*y**2\/2 + 389*y = 0.\nAnswer: 0, 2, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149613579 to the nearest integer?\nAnswer: 12232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*y - 7 = 3*y, 5*n = -2*y + 21. Suppose 0 = 3*q - n*q + 30. Suppose 44 - 103 = -d. What is the remainder when d is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -225b7 - 2?\nAnswer: -225b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 2*q + 2. Let i be w(-4). Let o = 15 + -6. Let g be (o\/((-225)\/20))\/((-4)\/550). What is the highest common factor of i and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2\/10)*-1. Suppose -a - 4*l - 14 = 6, -f*a - 16 = -l. Calculate the remainder when (15 - 1) + a\/(-2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41.3 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t**4 + 262762482*t**3 - 1917892451474989*t**2 + 2557189584950020*t - 852396489388900 = 0. What is t?\nAnswer: 2\/3, 14597915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -5\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 141 = g. Suppose 5*l + 442 = -3*n, 5*n = l - 170 - 520. Let o = -123 - n. What is the remainder when g is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 4*y - b = 36, -8*y + 6*y + 4 = -8*b + 9*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496550 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247 + 256 + 397*k**3 - 502.\nAnswer: 397*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 3*m**2 - m + (-m + 4*m - m)*(m + 3*m - 6*m) + 2*m**2 + 16*m - 16*m to r*m + n + v*m**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980688 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*p - 602*p + 1791*p - 601*p + 4.\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4090, -4077, -4066, -4057, -4050?\n\"Answer: -k**2 + 16*k - 4105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1463768 + 0?\nAnswer: 1463768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/56*-4*-562. Let p = -27 + u. Does 36 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96980.0495 rounded to the nearest 1000?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 5*y - 8*y)*((17*y**2 + 9*y**2 + 0*y**2)*(-2*y - 4*y + 5*y) + 2*y**3 + 3*y**2 - 3*y**2) in the form b*y**3 + a*y + p + m*y**4 + t*y**2 and give m.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 + 2*f**3 - 16*f**3 + 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4148 + 4198. Calculate the remainder when 441 is divided by a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*h + 169164 = 368*h. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkiry. Give prob of sequence yrri.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (1 + -1 - 0). Let f(c) = 4*c**2 + 3*c + 1. Let d be f(t). Solve 4*z - d = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*i - 29*i + 39*i + 25*i to q*i + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**5 + f**4 + f. Let u(g) = 30*g**5 - 2*g**4 + 5*g**2 - 2*g. Let z(d) = 2*h(d) + u(d). What is the third derivative of z(w) wrt w?\nAnswer: 1920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 3. Suppose -3*r + 30 = 12. Determine c(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 + -0.11. What is the closest to -2 in -0.1, k, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665.0831 millennia to months.\nAnswer: 7980997.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 7\/5, -2\/9, 0.06 in descending order.\nAnswer: 7\/5, 0.06, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611162?\nAnswer: 2, 305581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80*t**3 - 15*t**3 + 216 - 313 wrt t.\nAnswer: -285*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-11)\/(11\/4). Which is the closest to d? (a) -2 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7*g - 15. Does 44 divide (-292)\/g*-12*3\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (348\/(-145))\/(2\/10). Suppose -3 = -0*h - 3*h. Let u(x) = 2*x - 3*x + 13*x - 10*x**2. Let z(n) = -n**2 + n. Calculate h*u(c) + j*z(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1621 - 14297 = -r. Suppose 12*t - r - 704 = 0. Let u = t + -8901\/8. Calculate the common denominator of u and 101\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a - 2?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and -1.05?\nAnswer: -2.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 536 - 66413?\nAnswer: -65544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*n**3*y + n**3 + 2*n**2 - 2*n*y + 161*y wrt n.\nAnswer: -204*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-5)\/(-150)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64174.595 + -77263.7. Let p = 13045 + w. Let q = p + 44. What is q rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/76*6175\/(-2275)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/24*18\/(-30). Let y = h - -1\/20. Which is the nearest to y? (a) -1 (b) -4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201202 - 33?\nAnswer: 201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Let h = 4 - j. Suppose k = 2 + h. Solve u - k*u = -20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Let g be ((-18)\/15)\/((-2)\/15). Suppose -2*p + 3*k = 2*p - 7, 3*p - k = g. Solve p*a - 15 = 5*m + 13, -3*a + m + 10 = f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 34. Calculate the highest common factor of 272 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -517335, -1034669, -1552003, -2069337, -2586671?\n\"Answer: -517334*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 0*v + v**3 - 4*v + 5*v**2 - 6. Suppose 0*x + 2*x - 10 = -5*q, q = 3*x - 15. Let g = x - 11. Calculate c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1 - 2) + -2. Let v(g) = 11*g**3 + 4*g. Let o(m) = 5*m**3 + 2*m. Let x = -312 + 321. Determine s*v(q) + x*o(q).\nAnswer: q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274415620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -13*y**2. Let x(i) = -6*i**2 - 1. Let l(z) = -5*z**2 + 2. Let g(f) = l(f) + 2*x(f). What is g(w(j))?\nAnswer: -2873*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -73. Let j = -0.4 + 5.4. What is the smallest value in -3, j, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 27*s**2 - 214*s + 4. Let a be c(-6). Calculate the highest common factor of a and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 108 = -2*i, -4*i + 2*s + 10 + 226 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 37 = -4*k, -3 = -4*k + 3*k. Suppose d*b + 2 = 12. Find the third derivative of -3*i**4 + b*i**2 + 6*i**4 - 2*i**4 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -854, -1864, -3026, -4334, -5782?\n\"Answer: a**3 - 82*a**2 - 771*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 291990\nAnswer: -583980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1833 - -9015. What are the prime factors of h?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaacaafmacmammpmpm. Give prob of sequence ya.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/17)*b)\/b**9)\/((b\/(b*b**(-3)*b*b*b*b))\/(b**6\/b)) assuming b is positive.\nAnswer: b**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 + 10 = 0. Suppose 4*v = -5*t + 739 + 396, t - 216 = -n*v. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176826 rounded to the nearest ten thousand?\nAnswer: 6180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y**2 + 349*y - 275. Determine p(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 11 - 7. Calculate the least common multiple of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60b8 (base 13) to base 6\nAnswer: -141421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.234021 or -3\/8?\nAnswer: -2.234021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.03, 0.\nAnswer: -0.2, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 766540, 1533102, 2299664, 3066226?\n\"Answer: 766562*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 71*w - 3. Let f be g(2). Let y be f\/4 + 4*(-5)\/(-80). What is the greatest common factor of 175 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -15. What is the greatest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 13. Let j be q(-13). Let d(c) be the second derivative of 1\/4*c**4 - c - 1\/2*c**3 + 0 + j*c**2. Find the second derivative of d(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeheeteythey. What is prob of picking 1 h and 3 e?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -353 + 15837?\nAnswer: 15484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*r + 36*r. Solve 21*j - 41*j + 22*j = r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ikiikiiiii.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from gihmggggc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 859 + -876. Put 8, 1, 3, d in increasing order.\nAnswer: d, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2\/3 (b) -0.4 (c) 1 (d) 0 (e) 17.63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103592 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 149. Is o(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 12*d**2 + d - 5. Let g be c(-11). Suppose g*w - 104*w = 3. Solve 4*o = -2*n + w*n - 23, -2*o = -2*n + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*2 + 0 + -3)**2.\nAnswer: -60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w - 2*w**4 + 2*w**4 - 8*w**4 + 2*w**4 + (0*w + 3*w - w)*(-2*w**3 - 2*w**3 + 2*w**3) - w**4 - 6*w**4 + 1 + 6*w**4.\nAnswer: -11*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*x + 2275 = 0, -3*h - 806 = 2*x + 1434. Suppose -4*f + 117 = -3*f. Is 29 a factor of h\/(-26) + 18\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 30*c**3 - 99*c**2 + 108*c.\nAnswer: -3*c*(c - 4)*(c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 1064, -0.08, 5, -2, -5.\nAnswer: -5, -2, -4\/3, -0.08, 5, 1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 228 = 0. Suppose l = 3*p + p. What is the remainder when p is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 + -2a2?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p + 14*p + 16*p)*((-3*p - 3*p + 5*p)*(-3 + 3 + 2) + 0 - p + 0).\nAnswer: -141*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/3, -4, -61 in increasing order.\nAnswer: -61, -4, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72 in -4, 1\/3, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -525853 + -10?\nAnswer: -525863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*c - 2*c**2 - 88*c + 46*c - 2 to t*c + q + g*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7524340 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 1308993?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157111069 a multiple of 4512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 14. Let s be n(6). Suppose -q - s = -10. What is the remainder when 23 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53273612737\/1805824046 + -163\/687671. Let q = 1\/1313 - l. Find the common denominator of (2\/6)\/(10\/(-198)) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1752.999294 + -1753. Round o to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5804162 smaller than 5804172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 76*x**3 - 2*x**2 - x - 2. Suppose -8 = -4*j + 3*q, -3*j - 2*q - 4 = -5*j. Let w be v(j). Suppose w = -2*g + 6*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2559\/4 - -2565\/4. Let v(m) be the first derivative of -3\/40*m**5 - 9\/16*m**4 - 3\/2*m**2 - 11 + 0*m - y*m**3. Solve v(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108183666?\nAnswer: 2, 3, 41, 439771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*p + 132 = 103*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a4 + -2413?\nAnswer: -26b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3066 (b) -7\/6 (c) 4 (d) -0.2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 0.4 (b) -5 (c) -2 (d) -248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6670 and 23690.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7790.819 centuries to millennia.\nAnswer: 779.0819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -12 (c) -2.4 (d) 162 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21460 by -5365.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2535 (base 6) to base 2\nAnswer: -1001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/12 + 11*p**3\/3 - 15*p**2. Let r be d(10). Solve 0 = 3*b + 4*k, 3*b - r*k - 14 - 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 550.2413ml?\nAnswer: 0.5502413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-26)*4\/(80\/15). Which is the nearest to -2? (a) u (b) 2\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/20, -3, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29000 and 200680?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 195*n + 4. Let c(z) = 64*z + 1. Let t(x) = 2*a(x) - 7*c(x). What is the first derivative of t(w) wrt w?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244*0.39\nAnswer: 95.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k + 5. Let c be 2\/8 + 6 + 91\/(-28). Let v(p) = 6*p + 3. Determine c*b(y) - 5*v(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -34, -46, -58, -70, -82?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -79. Let a(w) = 4*w**c - 78 - w**2 + 79. Let p = 4 + -2. What is a(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -5*j + 4*k, 6*k + 296 = 2*j + 7*k + 309 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26040933\/416306 - 98034\/1639. Let r = 3\/254 - g. Calculate the common denominator of r and 73\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52\/55 + -28\/11. Suppose -7*n - 5 = -68. Let r be ((-6)\/n)\/(5\/3). What is the smallest value in -4, 2, r, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/138 and -75\/32?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(28) + -2).\nAnswer: -12 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 734043*l**4 + 3*l**3 + 307793*l**2 + 44 wrt l?\nAnswer: 17617032*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 + 458*m**2\/9 + 124*m\/3 - 2128.\nAnswer: 2*(m - 6)*(m + 7)*(m + 228)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.007, -3\/5, 3, -1.3?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1156*b - 1968*b + 1381*b.\nAnswer: 569*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22941 + 4550 = -1121*q - 62353 - 957 for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 781*r**2 - 825*r**2 - 5 + 124*r - 125*r.\nAnswer: -44*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 + 7*h**2 + 14*h**2 + (-2*h + 3*h - 2*h + (-2 - 1 + 6)*(0 + 0 - 2*h))*(11*h + 3*h + h) as b*h + i*h**2 + v and give i.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*h = 1, 0 = -5*o - 2*h - 0*h + 17. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/2 - (-6 + 11). Let n = -5 - -5.5. Which is the closest to w? (a) 2\/7 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -15945*d**2. Let n(k) = -9*k - 419217 + 419217 + 11*k. Give n(x(i)).\nAnswer: -31890*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 2*s**2 + s**2 + 30 to the form d*s**2 + r*s + x and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4303 rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/75*(-147699)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.18599 to one decimal place.\nAnswer: -94.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b - 3*n - 51, -4*n = 2*b + 38. Let l be (-1)\/2 - b\/18. Let m = -95 + 91. Sort m, 1, l.\nAnswer: m, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1088, -2505, -3922?\n\"Answer: -1417*f + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)\/((k\/k**(-5))\/k)*k**2*k**(-6)*k**(-2\/5)*k**(-4)*k*(k**(2\/3))**(-32) assuming k is positive.\nAnswer: k**(-581\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40820 - -40820.4. Let i(n) = -n**2 - 2*n. Let w be i(-2). What is the closest to -6\/11 in 5, 2, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -0.49831?\nAnswer: 0.79831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1313*o**6\/24 + 535*o**4\/2 + 9255*o**2. What is the second derivative of t(z) wrt z?\nAnswer: 39390*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -80, 5 in decreasing order.\nAnswer: 5, 0, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2543 - -2542.9. Which is greater: 514\/7 or d?\nAnswer: 514\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**6\/40 - 3*r**5\/4 - 89*r**4\/16 - 35*r**3\/4 + r + 240. Find w such that f(w) = 0.\nAnswer: -14, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j + 6. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 423431, 423423, 423415, 423407?\n\"Answer: -8*v + 423439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -4*b + 4, -1 = -b. Let d be (0 - -1) + (3 - m). Solve 5 = w - 3*w - o, -4*o - 10 = -d*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u - 1. What is the units digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -4.33514\nAnswer: -26.01084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -0.02046, -5.3, 1\/3?\nAnswer: -0.02046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040 (base 5) to base 10.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 + 7*u**4\/12 + 4*u**3\/3 - 7*u**2\/2 - 2*u - 53. Let c be g(-5). Let j(b) = -3*b**2 - 4*b. Give j(c).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -24*d + 4. Let a be ((-6)\/8)\/((-16)\/(-64)). Let j(k) = 12*k - 2. What is a*o(r) - 5*j(r)?\nAnswer: 12*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/(-30) - (-4)\/(-10). Suppose -q*m + 5 + 37 = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -7, 4, -4, 149, -2, 1 in increasing order.\nAnswer: -15, -7, -4, -2, 1, 4, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 52\/5 of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*p, 0*b = 3*b + 4*p - 6. Let m = b + -4. Let a(t) = 2*t**2 - 2*t**m + t**2. Let z(k) = 2*k. What is a(z(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 - x**2 + 4*x + 53. Let c(g) = g**2 + 6*g + 4. Calculate -c(v) - m(v).\nAnswer: -3*v**3 - 10*v - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and ((-36)\/(-24))\/((-3)\/(-16)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1200?\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 3*l**4 - l**4 + (-l**4 - l**4 + 0*l**4)*(-1 - 1 + 1) + 0*l**3 + l**4 + 0*l**3 + 2*l**4 + 2*l**3 + 0*l**4 - 3*l**4.\nAnswer: 3*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 16*w - 4. What is d(-12)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(175)*-6 - ((sqrt(14)\/sqrt(2) - sqrt(7)) + -1)) + 0.\nAnswer: -30*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/11)\/r)*r*r*r**5\/r)\/(r\/(r\/r**(-1\/5))*r*r*r*r*r**(-1\/9)\/r*r*r) assuming r is positive.\nAnswer: r**(1549\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1104500323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - 2. Let u = 0 - r. Let q = 1.1 - u. What is the nearest to 1\/3 in -1, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 8.93. Let z = x + -9. Let f be (5\/(-4))\/((-2)\/(-8)). Which is the nearest to -2\/5? (a) f (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -299, -699, -1281, -2057?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 4570*p**2 + 13710*p - 2. Give f(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23633*s**2 + 20*s**3 - 23633*s**2 + 34*s**3 - 64*s**3 + 13*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -16, -31?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 4*t - 1. Let j be (-8)\/(-6) + (60\/(-18) - -4). Does 4 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14 - 239*a - 17 + 15 - 3. Let l be n(-3). Let u = -495 + l. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + m + 54, m = 2*n - m - 28. Let u(x) = x**2 + 4*x - 3. Let d be u(-5). Suppose -d - n = -q. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + x**2 - 1. Let m be u(1). Put -3, m, -19, -1 in decreasing order.\nAnswer: m, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-4)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 18, l: 2}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258465840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 3. Let y be i(5). Suppose 4*z - u - 338 = 0, 2*z + u + 35 - 201 = 0. Calculate the greatest common factor of y and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28824 and 3144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3392 = 49*q - 44*q - 3*o, -4*q = 4*o - 2720. Is 34 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -628, 25, -4, 2 in ascending order.\nAnswer: -628, -5, -4, 2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2116661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 55160224*x.\nAnswer: -4*x*(x + 13790056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*p = -0*k + 42, k - p = 58. Let u = 6370\/11 + -581. Calculate the common denominator of u and (8\/36)\/((-4)\/k).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*s - 15 + 43 = 0, -48 = -5*i + s. Calculate the least common multiple of i and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4141 = 34*p + 1591. What is the remainder when 387 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77\/5 + 15. Let j = -1.103 - -0.103. What is the smallest value in g, -1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3\/7 + 50156*a**2\/7 - 157201440*a\/7 - 157251600\/7 = 0. Calculate a.\nAnswer: -1, 6270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36803993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.743 + 0.043. Round a to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 + (-32 + -199 - -124).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5*z + 50. Let x = -2 - z. Calculate the highest common factor of 72 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 10*r + 7. Let b = 36 - 34. Suppose b*o + 5*v + 2 = 0, 3*o - v - 31 = -0*o. Calculate u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289 at least as big as 2287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 455616 and 1792?\nAnswer: 1822464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 - -40.3. Let d = f - 61. What is d rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11877 by -3.\nAnswer: -3959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*t + 17. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 533131 (base 7) in base 9?\nAnswer: 150587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 111, 185, 279, 387, 503?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 2)\/((-1)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-1 + -3 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1161 - 1160.7. Which is the second smallest value? (a) -1.2 (b) 49 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + 1 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -779, -1573, -2383, -3209, -4051?\nAnswer: -4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49295064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*c - 1076 = 0, -8*c = -2*x - 11*c - 538. Let r = x + 325. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 6 - (2 + (-2 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90003?\nAnswer: 3, 19, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 65. Let f be x\/(-1) - (-5 + -732). Suppose -4*l + f = t + 2*t, -2*t + 493 = 3*l. List the prime factors of t.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 149.6. What is f rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.018.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/((-2)\/9). Let k be (2\/o)\/((-2)\/(-9)). Let s(t) = -2*t**2 - 4*t - 1. Calculate s(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**3 + 128 + 128 - 264. Let f(k) = 50*k**3 - 47. Let d(j) = -6*f(j) + 34*i(j). Let p(r) = 9*r**3 - 3. What is -3*d(g) - 10*p(g)?\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 314087243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 - 0.05. Let d = 0.31 - t. Let n = 0.09 + d. Is n != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974083?\nAnswer: 347, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**3 - 1. Let t(h) = 2*h + 1. Let g be t(-1). Let z be n(g). Suppose -13 - 17 = -z*q. What is the remainder when 37 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 76, 85, 92, 91, 76?\n\"Answer: -f**3 + 5*f**2 + f + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -465103, -3720864, -12557925, -29766934, -58138539?\n\"Answer: -465108*k**3 - 2*k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 10) to base 16.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113149, 226712, 340275?\nAnswer: 453838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:41 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d + 10, 3*d = -5*n + 35. Let q = 11 - n. Suppose -q + 10 = -3*v. Which is the biggest value? (a) -5 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:12 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 4) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (995*h + 2046 - 2046)*(0 - h**2 + 0) to the form q + b*h**3 + x*h + u*h**2 and give b.\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 - 48*c**2 + 7*c + 114. Let w be b(-16). Let q(k) be the first derivative of -4\/3*k**w - 8 + 4\/3*k + 4\/9*k**3. Factor q(n).\nAnswer: 4*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(19))**2 + sqrt(19) + sqrt(19) + sqrt(19))*3 - (sqrt(2299)*-2)**2)*-3*6.\nAnswer: -162*sqrt(19) + 161424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -131 - -bb?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let h(q) be the second derivative of q**5\/10 - 11*q**3\/6 + 538*q + 1. Calculate 2*h(z) - 22*i(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 3*x - 18. Let r be j(3). Solve r = -3*o - 24 + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 1*sqrt(75) + 4 + sqrt(75) - (-1 + sqrt(75) + 3))**2.\nAnswer: 40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -5*s, 4*q + 5*s = 368. Calculate the lowest common multiple of q and 24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1495 and 12305?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = 55*r - 18*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*d = 17, -11*o + 2*d = -13*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5034 + 20023\/4. Sort 3\/2, r, 0.4, -1\/2 in decreasing order.\nAnswer: 3\/2, 0.4, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -5)*(-55)\/44. Suppose -3*z = -n - 13, -3*z - z + w*n = -21. Suppose 4*v - 282 = -z*d + 22, -v = 4*d - 73. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/8 and 6\/(-8)*-4 + -41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let v = -0.4 + -2.6. Let q = v + u. Which is the third smallest value? (a) -1 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3 + (sqrt(147) - (4 + sqrt(147) - sqrt(147)))**2 - sqrt(147) - (4*(sqrt(147) + 2))**2) + 4)*3.\nAnswer: -6729 - 1533*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61966 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-4)\/(3 + -1)). Suppose t + f - 20 = i, 3*f + 2*f - 49 = -2*t. Calculate the greatest common divisor of t and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/(i\/((i**(2\/15)\/i)\/i))*(i\/((i*(i*i**(-2\/9))\/i*i)\/i))**(-18\/5))\/((i\/i**(-1\/2))**(-1\/38)*(i*i\/(i**4\/i*i))\/(i**(-2\/3)*i)) assuming i is positive.\nAnswer: i**(-1891\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 - 2*m**2 - 5*m + 5. Let w be g(1). Suppose 3*p = -s - 41, s + 0*s = 3*p + 49. Let b be (66\/p + 4)*10. Put b, 4, -2, w in decreasing order.\nAnswer: 4, w, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + 13) - (151 - 170)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150.11 - -126.293. Round h to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -263 by 45.\nAnswer: -263\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 8\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 847959 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + 29 - (-80 + 84)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/30)\/(180\/900).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3465048171.\nAnswer: 3, 13, 17, 5226317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 17?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -552 - -554. Let o be (b\/7 - 6\/21)*1. Solve -16 = 4*r + 4*l, o = 3*r + 2*l + 2*l + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935\/9813 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/80 and -111\/271960.\nAnswer: 543920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:16 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 4 + b + 0*b - 4 + 12.\nAnswer: -4*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.5 - -1.5. Let w = 7.6 - z. Which is the biggest value? (a) w (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/3 - 6*l**3 + 16*l**2\/3.\nAnswer: 2*l**2*(l - 8)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 7*g**2 - 5*g + 3. Let h be w(-6). Let k(v) = -v + 1. Let x(z) = -2*z + 2. Give h*k(d) + 2*x(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3690 and 8610?\nAnswer: 25830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 - (40 - (9 + -39 + 53))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9223631629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -38.\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109992034.\nAnswer: 2, 54996017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:37 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*m + 30, 2*s = 4*m + 25 - 7. Let j = 14 - 11. Suppose -j*q - 47 = -w, s = 5*q + 40. Solve -3*t - 5*x = -32, -9*t + w = -4*t + 3*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 76*x - 1177. Give d(-54).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2)\/(1*-2). Suppose -11*b - 50 = -21*b. Solve -y = -x - o, -x + b*o + 2 = 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 2*f**2 - 6*f**3 + f**2 + f**2.\nAnswer: -6*f**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9251623 divided by 1847\nAnswer: -5009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:09 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 160*n + 1497. What is the remainder when c(-9) is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/20*(-2914)\/75. Let a = -2\/125 + m. Let s = 8617\/6 - 1433. Calculate the common denominator of a and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 54 = -2*k, 3*y = 5*k - 82 - 15. Suppose 7 = 4*o - k. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0, 76, -657, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4\/5 + 152*a**3\/5 + 436*a**2\/5 - 12672*a\/5 + 4464 = 0.\nAnswer: -31, -15, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 5, 0.51, 9, -3?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 682.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1443 + 30313\/21. Let u = o + -1\/7. Determine p so that -1\/3 + 1\/3*p**2 + u*p**3 - 1\/3*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -396 and 67.3078?\nAnswer: 463.3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3 and -31\/51224455.\nAnswer: 153673365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (26 + -12 + -22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(48) + sqrt(3) + sqrt(48) + 5 + sqrt(9)\/sqrt(3) + -5 + -2) + 3.\nAnswer: -30*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072 times -376775?\nAnswer: -403902800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*k + 10700, 43*u - 10684 = 38*u - k. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20422100 (base 5) in base 10?\nAnswer: 170275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5314111\nAnswer: 5\/5314111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2736) + sqrt(2736) + -1 + sqrt(2736) + sqrt(2736) + sqrt(2736) + sqrt(2736) + 4 + 1)**2.\nAnswer: 2304*sqrt(19) + 394048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3 + 7\/(-21))*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104 + 2*z**3 + 105 + z - 14*z**4 + z**2 - z as d*z**3 + s*z + r + y*z**4 + g*z**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 20 = -3*i, 2*l - 2*i + 4*i = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 10*k - 17. Let q be c(2). Suppose q*o + 30 = 6*o. Solve -12*g = -o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001111000000000 (base 2) in base 3?\nAnswer: -110001011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4*z - 15. Give h(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2862186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, 4789, 9930, 15073, 20218, 25365, 30514?\nAnswer: 35665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4293 divided by 977\nAnswer: -4293\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445076 and 6.\nAnswer: 1335228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1060320 and -81\/1237040.\nAnswer: 7422240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8 = -u, 0 = 3*q + 810*u - 807*u + 18 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1284 and 0?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126.71583*5.\nAnswer: 633.57915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510086087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7430092*g**4 + 10*g + 183238 wrt g.\nAnswer: -89161104*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 20. Let d be r(10). Let v(o) = -4*o - 38. Let a be v(d). Suppose a*i - 99 = -5*u + 515, -620 = -5*u - 5*i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 45547*d + 3568. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = c - 3*m, -40 = 4*c + m - 108. Let i(d) = 0 + 23*d - 2 + 3 - 92*d. What is the remainder when i(-1) is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19677*i**3*u - 98341*i**2*u wrt i.\nAnswer: 118062*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45344473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/93 and 37\/33.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by -6?\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3537 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 114 = -2*u - 301, 2*m - 121 = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 678 and 15.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 5*p - 10. Let u be d(7). Let l = u - -10. What is the third smallest value in -4, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/391 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = t - 240, 3*t - 234 = 2*l - 5*l. Let s be l\/7 + (-42)\/(-98). Suppose -d + s = d. Solve -d*y + 2*y = 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1646608 (b) 5 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*w - 34, 19*w = -5*t + 14*w + 110. Solve -t*i + 12 = -4*s - 17*i, 0 = -s + 4*i + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.53 - -1.6. Let x = 0 + i. Let l = x + -0.0700056. Round l to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = 14. Suppose -111 = g - p*g. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and 0.178142.\nAnswer: 0.248142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 23*j**2 + 3*j - 1. Let g be s(2). Let f = g + -79. Solve v + 3*v - 15*v**2 + 2*v + f*v**2 = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47444340, 94888680, 142333020, 189777360, 237221700?\nAnswer: 284666040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6 - (-8)\/(-6) - -4. Differentiate 86*o**4 + 50 - 153*o**q + 21 wrt o.\nAnswer: -268*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**8\/336 - q**5\/60 + q**2 - 2*q. Let h(y) be the first derivative of g(y). Find the third derivative of h(m) wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 10*f = -32. Suppose -3*s = -d + f, 0*s + 12 = -3*s. What is the second derivative of 23*v - 8*v**4 - 2*v + 2*v**4 - d*v wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 90 - 31*x**2 - 72.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j + 4*c + 66, 0 = -c + 1. Let f = j - 22. Let z = f - -111. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6707\/7 or -957?\nAnswer: -6707\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/7 - 564*w**2\/7 + 7200*w\/7 - 22032\/7.\nAnswer: -4*(w - 6)**2*(w + 153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = 21*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v - 5. Is z(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -2*a**2 - 3*a + 0 + 1\/24*a**4 + 0*a**3. Let p(j) be the first derivative of h(j). Let z(w) = 2*w**2. Determine z(p(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1229 + -318. Calculate the remainder when z is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -117*r + 2110. What is u(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -14. Let o = n + -4. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 2. Let y be 4531 + 1 + (g - -7). Suppose -6*t + 5630 = -y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/144*(-5106)\/(-4255).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 658*i - 661*i + 519 = 0, 0 = -5*i + 15 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 50 - 3*m + 8*m - 2*m**2 - 50 - m. Suppose 0 = -4*d - 4*i + 28, 18 = 5*d + 3*i - 11. Determine s(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550 = -10*g - g. Let z be 102590\/g - 2\/((-10)\/1). Does 19 divide (z\/30)\/(2\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20 - -1 - (-4 - -1). Let o = -17 - b. Let y(c) = 5*c**3 + c. Determine y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-91))\/((-2)\/63*(-24)\/4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 115*t - 111. Let z be r(-59). Calculate the highest common factor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 19*z - 1 = t, -z - 2 = 2*t. Let m be 2*(3\/(-6) - t - 1). What is the biggest value in m, -5, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 60 + 8*h + 59 + 4*h + 2*h.\nAnswer: 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9704 - -0.0296. Let z = 91 + -90.86. Sort z, -1\/7, q in ascending order.\nAnswer: -1\/7, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.62931 - -0.63. Round n to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -40b63237?\nAnswer: -40b63235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 253, 254, 257, 262, 269, 278, 289?\n\"Answer: l**2 - 2*l + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsx when three letters picked without replacement from xffuzxxxzsuqss?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.4 (c) 1\/7 (d) 0.046 (e) 11\/2 (f) 0 (g) -5\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9531297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1956 - -3378. Let c = w - 1420.749. Let f = c + -0.011. What is f rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = a + l, -4*a + 28 = -0*a - 3*l. Let h(m) = m**3 - 6*m**2 - 10*m + 1. Let b be h(a). Let u be 760*(0 - b\/(-8)). What is u rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 12:15 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*b - 5, -1 = -5*b - x + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/47472, 0.95, 4, 7, -3 in decreasing order.\nAnswer: 7, 4, 0.95, -5\/47472, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3750)\/(-1500))\/(((-2)\/3)\/(2944\/(-240)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 11*t**5\/60 - t**4\/6 - t**3\/6 - t**2 - 6. Let l(j) be the second derivative of v(j). Is l(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 186. Suppose -2*a = -0*a. Solve h + 2*w = -a*h + n, h = -w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*m = -605, -5*y - 4*m + 215 = -4*y. Calculate the remainder when y is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12124 = -759*u + 326*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 8940*s + 33777324.\nAnswer: -(s - 11802)*(s + 2862)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1081*l**2 + 11*l + 1. Let b(w) = 3*w**2 + w + 2. Let j(c) = -b(c) - y(c). Find the second derivative of j(x) wrt x.\nAnswer: -2168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10\/3)\/(a\/(a**(-4)\/a)*a)*a*((a\/(a**(10\/3)\/a))\/a)\/a*a*a*a*(a\/a**(1\/12))\/a assuming a is positive.\nAnswer: a**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1648.5 + -1649.1937. Let f = l - -0.69. Round f to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15171107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36231*o - 36226*o + g + 92, -15 = -5*g for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355*s - 362*s + 52 = -730*s. Which is the closest to -2? (a) -2 (b) s (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9330, -9291, -9216, -9087, -8886, -8595, -8196, -7671?\n\"Answer: 3*l**3 + 18*l - 9351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 2333, 3, -3 in descending order.\nAnswer: 2333, 32, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzzlllslzlllllz. Give prob of picking 1 l, 1 s, and 2 z.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 6*y**2 + 15*y - 24. Let r be k(4). Suppose -234 = -r*g + 2*c, 2*g - 70 = -c + 57. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0.5, -2824, -4\/11 in increasing order.\nAnswer: -2824, -27, -4\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/1359 and 21\/1661.\nAnswer: 14949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 38 = -36. Suppose 159*l = -144*l + 226*l + 2849. Calculate the greatest common divisor of m and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004619760601 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-846)\/(-4)*22\/(-297)*-9. Let n(i) = 17 + 6*i - 5*i - 12*i. Let o be n(-7). Calculate the highest common factor of p and o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i = 36*i + 5, -5*u - 125 = i. Which is bigger: u or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32120 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**3 + 15 - 15.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v + 2. What is the highest common divisor of 64 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**4 + 2*y**4 + 3*y**4 + (381*y**3 - 919*y**3 + 312*y**3)*(-61 + 4*y + 61).\nAnswer: -905*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 1. Let m(a) = 2*a - 19. Let k be m(8). Give d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315647 by -315647.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(18\/(-12)))\/(1*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 - 12*i. Let s = -6 + -19. Let t be (-10)\/s + (-128)\/20. List the prime factors of d(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1 + 90*j**3 - 37*j**3 + 7 - 48*j**3 + j. Let a(w) = -20*w**3 - 5*w - 25. Determine -6*a(u) - 25*s(u).\nAnswer: -5*u**3 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 473 - 473.0000229. What is k rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 16648 - 14*s**3 + s + 39*s**3 - 27*s**3 - 16648.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/9)\/w**(-1\/8))**(-37))**(-26) assuming w is positive.\nAnswer: w**(-11063\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/6240)\/(-11)*(10\/(-15) + 14\/(-6))?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 38*v**2 - 24*v - 665. What is s(38)?\nAnswer: -1577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*16\/280*7.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 504635212?\nAnswer: -504635210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 44*z**2 + 99*z - 7. Determine i(-46).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13419.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/5)\/(((-3)\/(-2))\/(780\/104)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393.7894 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5145860 is divided by 1116?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loll when four letters picked without replacement from {l: 4, o: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 515131519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2523*p + 1970. Is s(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - v**2 + 4*v**2)*(-1 + 1 - 2*v + (0 + 0 + 2*v)*(-7 - 2 + 2)).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 + 5*x**2 + 5*x. Let m = 31 + -25. Let y(c) = -6*c**2 + 12*c**3 - 6*c - m*c**3 - c**3. What is 6*u(f) + 5*y(f)?\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-19)*m))\/m*m\/(m*m**11\/m*m)*(m**(-1\/7))**(-1\/24) assuming m is positive.\nAnswer: m**(1345\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 - 7*q**3 - 70*q**2 - 104*q = 0. Calculate q.\nAnswer: -4, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3 - -3.8. Which is the second biggest value? (a) p (b) 0 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/52 or -9\/446?\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t - 14 = 5*l, 2*t - l - 14 = 0. Suppose 5*u - 7*p + t*p - 12 = 0, -2*u - 5*p = 9. Factor -2\/3*h**2 - 2 - 2\/3*h**u + 10\/3*h.\nAnswer: -2*(h - 1)**2*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/9, -105 in ascending order.\nAnswer: -105, -2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2)\/((-6)\/(-6)). Suppose -5*k = 2*o - 2, -5*k + j*o - 10 = 5*o. Solve 5 - 1 = -k*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 1, d: 5, o: 2, r: 6}. What is prob of picking 2 r and 1 d?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/143 and -2\/1833.\nAnswer: 20163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 321477462*z - 2*z**2 - 321477464*z + 85*z**3 - 12*z**3 - 7 as t*z**2 + i*z**3 + o + j*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2049 + 2046. Let q be (-24)\/132 + (-70)\/(-22). Suppose q*v - 6 = 3*p, -3*v - 3 + 4 = 2*p. What is the closest to v in -4, o, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 + -131.999998391. Round k to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 845524, 1, 3, 18 in increasing order.\nAnswer: 1, 3, 18, 845524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3534 + 3536. Suppose -h - 4*h + 4*k + 8 = 0, -5*k = 10. Suppose -2*m + 4*m - 32 = h. Calculate the highest common factor of w and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 124 + 324 = 0. Let v = 97433 - 97423. Calculate the remainder when m is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-60)\/(-64))\/((-912)\/32) and -55\/114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -9) + 18 + -5 - -8 - 78\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3787*g = 3797*g - 60 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*w + 1206, 3*s - 487 - 395 = -3*w. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 5889. Let l(r) = 69896*r. Calculate w(l(f)).\nAnswer: 209688*f - 5889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5600) + 1*1*sqrt(5600))\/(-4*sqrt(96)\/sqrt(3)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-4 - (2 + -5)). Let h = 6 + -2. Suppose h*r - 4 = 4*t, -2 = n*t - 6. Calculate the remainder when 3 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3787236, 5 in ascending order.\nAnswer: -3787236, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 25 = -20. Let r = 33 - l. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t + 2*t + t + (-3*t + 4*t + 0*t)*(-5 + 0 + 2) to d*t + r and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24 and -59\/138461715.\nAnswer: 1107693720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 0.76?\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 5\/((-25)\/60). Suppose 6*o - 6 = s. Suppose -4*a - 122 = -2*c, o*c - 155 = -a - 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -v, 0 = 2*q - 4*v - 22. Let x = 13 - q. Is ((-2825)\/15)\/((-2)\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97987974 and 0.5.\nAnswer: -48993987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99952494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49325\/34 - -1452. What is the common denominator of l and 9\/(-24) - (-7)\/1?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114172 and 28729116.\nAnswer: 2097225468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-36))\/(-3*50\/(-135))*-13?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 7:23 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**2\/5 - 78*x\/5 - 261\/5 = 0.\nAnswer: -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -17. Let w be 1\/4 - (-1 - k\/20). Solve 0 = x - 2*y + 10, y = 3 + w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.108 + -0.2614065.\nAnswer: -0.3694065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*s - 5 = -9, -a + s + 7 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6904*c*s*u - 4*c*s - 642*c*u + 10*c + s*u + s wrt s?\nAnswer: 6904*c*u - 4*c + u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 10*r - 13. Suppose 3*c = 4*c - 1. Let q be (c\/(-3))\/(6\/(-18)). Let j(b) = -q + 5 + 5*b + 0 - 2*b. Give -7*j(t) - 2*w(t).\nAnswer: -2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 9 = 0. Suppose 3*z - 9 + l = 0. Suppose -2 = -4*u + 2*c, -2*c = -4*u - 4*c - 18. Sort z, u, 4.\nAnswer: u, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(4*k - k - 4*k)*(21 - 42 + 16).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**3 - 153*n**2 - 576*n - 564 = 0.\nAnswer: -47, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/3)\/(-2))\/(187 - 122550\/774)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 115*k - 114*k - 16 = -2*z, 3*z + 568 = 23*k + 30*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -10 - (11 + 2 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 939684895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.83 + 5.7. Let l = w + -0.86997. Round l to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 460, 646, 820, 976, 1108, 1210?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*i = -0*i, 15 = -3*i. What is the hundreds digit of g\/(-2) + (545 - (-2)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5502629 and 8173.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 176*l**2*x - 3*l**2 - 2*l*x - 2*l - 444*x - 5 wrt l?\nAnswer: 352*l*x - 6*l - 2*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 - 7*v + 4. Let i(r) = -3*r**3 - 19*r**2 - 4*r + 6. Let u be i(-6). Calculate j(u).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 2. Suppose q + 57 = -5*l, 104 = -2*q - 2*l - 3*l. Let w be 8\/36 - q\/(-9). What is the units digit of u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k**3 + 0*k + 6*k + k**2 - 16*k**3 + 4*k**3 + 6*k to c + h*k**2 + u*k**3 + v*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*f**2*u**3 - 14*f**2*u*z - 858*f*u**3*z**3 - f*u*z**3 + u**2*z**2 - 161*u*z**3 wrt u?\nAnswer: -360*f**2 - 5148*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 153 = 3*a, 3*j + 0*a - 3*a = -147. Is -534\/11 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 897 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3772 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.88 - -0.12. What is the nearest to c in 2, -1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 59*r**2 + 397*r - 434. Determine q(65).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 120.4+1259034586\nAnswer: 1259034706.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n**3 - 5*n**3 + 5*n**3)*(2 - 4 + 40) - 18*n**3 - 35*n**3 + 0*n**3 in the form c*n + h + y*n**2 + g*n**3 and give g.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51176 divided by -12382.\nAnswer: -25588\/6191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (0 - 1)) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*w - 7, -2*w + 3*u + 3 = -10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1072*-0.6\nAnswer: -643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009497275 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 20*b - 10*b + 29*b - 15*b. Let u(v) = -5*v**2 - 3*v. Determine k(u(l)).\nAnswer: 115*l**2 + 69*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/b*b*b**(-1\/5)\/b*((b*b\/(b\/b**2)*b)\/b)\/b*b\/b**5)\/((b**(2\/9)\/b)\/(b**(-2\/3)*b)*(b*(b\/(((b**2\/b)\/b)\/b)*b)\/b)\/b**(-5)) assuming b is positive.\nAnswer: b**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 - j - 1. Let t(f) = 91*f**3 - 10*f**2 + 5*f + 5. Give -15*m(p) - 3*t(p).\nAnswer: -258*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(1152) - -2*sqrt(1152)).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(29 - 63 + 18 - 2*j) in the form u + v*j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 12 = 5*c, 4*c = m + 15 - 26 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -16*w**3 + 94*w**3 + 3 - 5*w**2 - 2*w - 84*w**3. Let x(i) = -7*i**3 - 6*i**2 - 2*i + 4. Determine -3*x(j) + 4*z(j).\nAnswer: -3*j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:05 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**2 + 250. Let p(c) = -2*c - 79. Give f(p(v)).\nAnswer: -4*v - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:05 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*k - 23 - 42, 3*z = -6. Solve k = 2*b + 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/3 (b) -1 (c) 1\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 59850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33958 + 0.4085. What is h rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Let c = 735\/2 + -367. Solve -1\/4*m**4 - 1\/4*m + 1\/4*m**o + 3\/4*m**2 - c = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 - 7*y**2 + 15*y + 5. Let t(i) = 8*i**3 + 6*i**2 - 15*i - 6. Let n(j) = 5*t(j) + 6*w(j). Let b be n(-7). Do -65\/9 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 860\/16*(-3)\/(-225) and (-1774)\/120 + 3 - (-18)\/90.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 270. Let d be (-34)\/(-68)*(1 + -1*f). What is the biggest value in -1, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000502494422 rounded to seven dps?\nAnswer: -0.0005025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 + 645. Which is smaller: s or 388?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11111000 (base 2) to base 8\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -74\/1140785?\nAnswer: -74\/1140785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -10244 in decreasing order.\nAnswer: 4, -3, -10244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 5, i: 2, w: 9}. Give prob of sequence wr.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 18*y + 48.\nAnswer: -3*(y - 8)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72724.\nAnswer: 2, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*a - 175476 = 0, 54*o + 43879 = 55*o - 2*a. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 - -347. Suppose -48 + l = 2*j. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Suppose -8 = -2*r - 4*x, -m*r - x - x = -8. Suppose 5*g + 1 = -9. Put 0, g, r in descending order.\nAnswer: r, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15822492 to the power of 1\/2, to the nearest integer?\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - t - 36 = 24, 2*t = 5*r - 65. Let q = 19 - r. Solve -2*d + q = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12928253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448\/(-76) + (-38)\/361?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g**2 - 10*g + 5. Let y(t) = -7*t**2 - 9*t + 4. Let n(a) = 4*u(a) - 5*y(a). Let h(v) = -2*v**2 - 4*v. Let l = -9 - -14. Give l*h(c) + 4*n(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2 + 5\/(140\/1201). Let p = m + -179\/4. What is the common denominator of 31\/19 and p?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2620 - 289 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -2 - -2) + (-9 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 - 15 = 0. Solve -b = -3*b - n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15812 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1, -40 in ascending order.\nAnswer: -40, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 15. Suppose 5 = -2*u - 5*m, -3*m + s = u - 5*m. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -11*w + 29 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 730*b + 17*b**2 - 16*b**2 as u*b + y*b**2 + r and give u.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 173*s**2 - 21 + 35*s - 1 - 175*s**2. Let c be p(8). Let j(i) = 1. Let q(h) = -h - 4. Determine c*j(r) + q(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5893.7 - 5895. Which is the closest to -0.1? (a) -17 (b) -2 (c) 2\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7*v - 8*v = 581, 0 = -4*x - v + 770. List the prime factors of 101 + -95 + x\/1.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*((-80192)\/35 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*11\/(-1309)*-1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54304, 108609, 162914?\n\"Answer: 54305*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8656 - 173101\/20. Calculate the common denominator of 4\/12 + 94\/(-264) and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -917*c - 8975. Let h be g(-10). Calculate the highest common factor of h and 4745.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 4. Let s be (-5)\/(-8 + -2)*6. Let v be s*1\/((-4)\/(-4)). What is t(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaicaaiinncy. What is prob of picking 2 c, 1 i, and 1 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-14))\/(2\/(-7)). Solve 2 = -t*r + 2*v, 2*v + 22 = -3*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 7, w: 2, n: 1}. Give prob of picking 1 n and 2 c.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - -3 - -2) - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -573 (base 16) to base 7\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 19*l = 100. Let x(n) = n**3 - 7*n**2 + 6*n + 24. Let k be x(l). Solve -4*s + 2*w = -w - 29, k*s - 5*w - 35 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2333670*i**2 - 2333670*i**2 - 24*i**3.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6577.195mg in tonnes?\nAnswer: 0.000006577195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -692312 + 1000315. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 6643?\nAnswer: 26572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694031?\nAnswer: 13, 197, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -17. Suppose 0 = d*w + 8 - 20. Solve -4*v = -0*v + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13559501179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 598618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 690 + -451. Suppose -2*s + 0*s = -10. Suppose -3*k = k - s*o - p, 5*k - 5*o = 305. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2521 is divided by 425?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 2*p - 7. Let b(h) = -4*h**2 - 8*h - 27. Determine -2*b(t) + 9*i(t).\nAnswer: -t**2 - 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 2*b - 4*b)*(-39 - b - 27 + 123) to i*b**2 + n*b + y and give n.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 + 167 = z - 2*u, -2*z = -5*u + 1126. Let x = 566 + z. Put 20, x, -3 in decreasing order.\nAnswer: 20, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101738, 203236, 304734?\nAnswer: 406232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 512?\nAnswer: -2560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.44759 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -17*r + 785, 4*z + 32*r + 234 = 18*r + 19*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.9, 0, 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5021828 divided by -14.\nAnswer: 358702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432) + 1) + ((sqrt(96) - ((sqrt(96) - sqrt(96)*-2) + sqrt(96) - sqrt(96)))\/sqrt(8))**2.\nAnswer: -72*sqrt(3) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2264021 to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 8. Let w(u) = 3*u - 17. What is 7*v(y) + 3*w(y)?\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**3 + 3 + 6*c**3 - c**4 - 2*c**2 - 3*c**2 + 3*c**2 in the form h*c**4 + m*c + i*c**3 + g*c**2 + o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -135, 236, 1097, 2610, 4937, 8240?\nAnswer: 12681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776*w + 389*w + 386*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + -5 + -3 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.004 (b) 3 (c) -1\/6 (d) -3 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 656 - 447. Let s = 62 + -43. What is the highest common divisor of s and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*a - 1847*a - 140*a = 1472*a + 112632 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1838 + 1798.5. Let a = 48 - -1. Let q = o + a. What is q rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 + 3. Let g be (-3 - -3 - -3) + 4. Let m be l(g). Suppose -4*r - 8*b + 3*b = -9, -m*r = 4*b - 7. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = -27*c + 71247. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*g + 200, 4*g + 0*o + 2*o = 350. Let c be (-6)\/(-5)*3\/(-6)*5. Find the common denominator of 1\/c - (-560)\/g and 10\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 16. Let k = 68 - 154. Let r = a - k. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-24633\nAnswer: 98532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013915261 to 5 decimal places.\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 33\/7*h - 9\/7*h**2 - 18\/7 + 3\/7*h**4 - 9\/7*h**3 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let j(t) = 10*t - 46402. Give j(v(f)).\nAnswer: -20*f - 46402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = -6*l - 3*z, -3*l = 5*z + 20. Suppose l*w = -5*j - 4*w + 2, -10 = -j + 4*w. Suppose p = -j*p + 204. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 + 19 - 22*p**2 - 114 + 11*p**2 - 31*p - 11*p**2. Is o(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34372*r**2 + 12*r**3 - 17238*r**2 - 39*r - 17134*r**2 + 39*r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -22*g**3 + 3*g**2 - 163*g - 646. Let i be s(-4). What is the highest common factor of 344 and i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -8*k. Suppose k*x + 64 = 5*q + 4*x, 3*x = 2*q - 21. Solve -2 = -5*d - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 108.03.\nAnswer: 3240.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - -3) + -8 + -11 - -2) + 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 532.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.08 - -0.38. Let z = -1.728 - a. Round z to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m - 2*m)*(-25*m**2 + 62*m - 62*m)*(m + m - 3*m).\nAnswer: -25*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 117489434, 117489428, 117489422?\n\"Answer: -6*u + 117489440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*x - 200*x = -1379*x + 21885 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*b**3 - 173*b**3 + 171*b**3 - 170*b**3.\nAnswer: -468*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 0.8016992. Round a to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276*d**2 + 1285.\nAnswer: -552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 44. Let w = 35 + c. Let g(i) = 2*i - 1. Let p(m) = -m. Calculate w*p(z) + 2*g(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -10394\/1691 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 174.3 and -5.\nAnswer: 169.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i + 3563352 = 534*i. What is the smallest common multiple of 8 and i?\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -4, -0.3, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g**2\/5 - 3313418*g\/5 + 509756\/5 = 0.\nAnswer: 2\/13, 127439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 14*c, 21*z + 4*c = 24*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t**2 - 2*t + 16. Let k be 5 + (-285)\/60 + 46\/8. Let y be o(k). What is the highest common divisor of 77 and y?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (0\/(-3))\/(-4). Suppose -2*x + 4*x - 8 = o. Let t(d) = x*d + 0*d - 2*d. Let n(h) = h**2. Determine t(n(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - 16*l**4 - 6*l**4)*(2875 + 146*l - 2875).\nAnswer: -3212*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 60*g**2 + 100*g + 15434. Calculate b(-57).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 - 174. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 1:28 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 44 - 260. Let i be 76\/s + 10\/4. Put -3\/7, -1, i in increasing order.\nAnswer: -1, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -407 - -403. Let f(l) = -90*l - 5. Let s be f(-1). Sort s, u, -2.\nAnswer: u, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (17 + -1)) + -18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 123000112?\nAnswer: -123000113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*6\/70*5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**3 - 39*u**2 - 8*u + 5. Let s(b) = 3*b**3 + 20*b**2 + 5*b - 3. Give -5*s(m) - 3*z(m).\nAnswer: 3*m**3 + 17*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 65608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 54 = 4*y. What is the common denominator of (34\/(-10))\/((-14)\/(-25)) and (33\/y)\/(12\/(-42))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (73790\/19740 - (-3)\/(-42))\/(44\/888)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5 = -t, -2*t - y = 2*t - 3. Let u(v) = -v + 1. Let j be u(t). Which is the second smallest value? (a) j (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253721808 + -10.5?\nAnswer: 253721797.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6006 and 63\/130.\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 51028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*b + 3*t = -5, 0 = -5*b + t - 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 169, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 7773653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 52 + 52 - 129 = 0, 10*y + 65 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - o**3 - 4)*(-12 + 1 - 9)*(-692 + 6*o + 351 + 335) as y*o**2 + k*o + s*o**3 + z + t*o**4 and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.1. Suppose w = -3*w. Suppose f + 3*h - 1 - 4 = w, 5*f = 3*h + 25. Which is the closest to n? (a) -2\/17 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 599, 2, 0 in ascending order.\nAnswer: -1, 0, 2, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 105165 divided by 9\nAnswer: 11685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + o + 2, -27 = 4*t - 2*t + 5*o. Find the common denominator of (-958)\/(-144) + -4 + 18\/81 and ((-15)\/21 - t)\/(-12).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 6*o - 5. Let w be 8\/3*(-6)\/(-4). Let u be m(w). Let p be (u\/5 + 3)\/2. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2. Let o(q) = -30681*q**2 - 2. What is o(p(j))?\nAnswer: -1104516*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*c**5 + 12843*b*c**2 - 58*b*c + 105*b wrt c?\nAnswer: -20*b*c**3 + 25686*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*n - 472, 38*n - 90 = 37*n - 2*i. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d6d + 8a?\nAnswer: -4ce3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -91. Let x(g) = g**3 - 8*g**2 + 8*g - 104. List the prime factors of x(u).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2. Let c = 12 + 1. Suppose -5*p = 5*m - 3*p - 27, 0 = -p + 1. Let a(d) = c*d - 7*d + 0*d - m*d. What is a(u(f))?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -5*(1*sqrt(190) - sqrt(190)) + (sqrt(190) - (sqrt(190) - (2*sqrt(190) - sqrt(190))*-2)))*-5)\/((sqrt(20)*-2*4)\/(sqrt(2)*-2*-3 + sqrt(2))).\nAnswer: -35*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 12:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 17*y**2 - 36*y - 32. Let x(z) = -z**3 + 22*z**2 - z + 32. What is the least common multiple of x(22) and n(-15)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 969916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b**5 - 520*b**4 - 5065*b**3 - 22535*b**2 - 44400*b - 31500 = 0 for b.\nAnswer: -15\/2, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - 479. Let k be ((-294)\/(-196))\/(((-2)\/o)\/1). What is the greatest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*h - 12577 = -8433 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279974 by -4.\nAnswer: 139987\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 - 1.2. What is the closest to m in 1, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5717175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53436 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -j + 3*j. Suppose 2*u = 2*g + 174, -g = -j*g + u - 177. Is -1*g\/1 + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*l + 234, 4*h + 7*l - 10*l = -305. Let z be 4\/3*177\/2. Let w = z + h. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562 (base 7) to base 2.\nAnswer: 100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4015, -4018, -4007, -3970, -3895, -3770, -3583, -3322?\n\"Answer: 2*o**3 - 5*o**2 - 2*o - 4010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 8 = 2*r - 2*c, 2*r - 20 = -5*c. Suppose -x + 82 = -r*x - 5*g, 5*x + 3*g - 438 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 2197247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 3\/526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 4*b - 5. Let y be x(5). Let r be y - (-1 + 6)*-1. Suppose 3*i = k + 2, -r*k - i - 10 = -64. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from xdbxxxuoxbuoxmx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58911.\nAnswer: 3, 73, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -148a7 (base 14) to base 3\nAnswer: -2121002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/5 - 2749*o**2\/5 + 4408*o - 44112\/5 = 0 for o.\nAnswer: -2757, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 947 = -73. Let c be 1479\/m - 6\/10. Let q be (c\/(-36))\/(2\/(-8)). Put q, 0, -3, 1 in descending order.\nAnswer: 1, 0, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1444 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f, -3*h + 4*f = -0*h - 34. Suppose 7*g = 106 + 20. Calculate the greatest common factor of g and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1662*j**2 + 1494*j**3 + 1477*j**3 - 549*j**3 wrt j?\nAnswer: 14532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z**2 + 0*z**2 - 10*z**2 - 1 + 29*z**2. Let h be d(1). Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 5*n**3 + 0*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15*k**3 - k. Suppose 17 = 5*d - 4*t, 3*d + 1 = 3*t + 13. Calculate g(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -p - 4*p. Let m = 452 - 290. Calculate the highest common divisor of m and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -463 - -754. Suppose 191*s - 188*s - g = 0. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.56 - -0.5. Let d = -0.04 + v. Suppose 5*r + j + 23 = 0, 5*r = 2*j + 2*j - 33. What is the second smallest value in r, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 20 = -2*w. Let t(c) = 2*c**3 + 7*c + 9. Let s(x) = -x**3 - 4*x - 5. Calculate w*t(r) - 7*s(r).\nAnswer: -r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 45, 3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 + 2*u - 5. Let z(n) = n**2 - n + 1. Give -q(m) - 3*z(m).\nAnswer: 3*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.59 - 53.\nAnswer: -42.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 278 - 3060\/11. Let w(s) = 2*s - 3. Let r(m) = m - 1. Let d(a) = 3*r(a) - w(a). Let l be d(1). Are l and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.5 - -7.5. What is the smallest value in -4, 3, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*l + 2*x, -2*x = -l + 4 + 2. Suppose -2 = -j - 4*b, 2*j - l = -5*b - 0*b. Suppose j*u - 149 + 29 = 0. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25716 - -25715. What is the second biggest value in -176, -3, q, 2\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*o**2 + 241*o**2 - 2*o**3 - 4*o**3 - o**3 + 225*o**2.\nAnswer: -7*o**3 + 65*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2184453654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*r - 7. Calculate the lowest common multiple of r and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -14324?\nAnswer: -14324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hphhbhopbbpph. Give prob of picking 1 o and 2 b.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * -472.\nAnswer: 19352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and -17\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*m + 91*m + 84*m - 263*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22890953 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 83, 2\/173, -0.2661, -1\/8?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 1, l: 1, n: 3, o: 1, j: 2}. Give prob of picking 1 o and 1 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21658 - -13219\nAnswer: 34877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 8, 0.29, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 753 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 5. Let h be t(-4). Suppose 3*p - 11 = a, -h*p - 2*p + 17 = -3*a. Let x be a*(4 - 3) + 3. Let n(f) = -f. Determine n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9718 + -194309\/20. Find the common denominator of b and -1\/1856.\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 456.4 (b) -2.66 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/68*8\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, y: 1, c: 1}. What is prob of sequence cxyx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.9 - 3203435249.\nAnswer: -3203435262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 291 (b) 1 (c) 2\/7 (d) -3062\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 - 3*s + 1. Calculate y(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 2\/9, 5, 21 in increasing order.\nAnswer: -0.7, 2\/9, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70556 kilograms in nanograms?\nAnswer: 2705560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - (-8)\/3. Let k = 4 - p. Let m = 1 + k. 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 lowest common multiple of 222 and 51?\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32576735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*s - 28 = 39, -c - 6*s - 53444 + 53313 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10332 and 504?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -1\/3 (b) 9 (c) 0.5 (d) -0.3 (e) 0.2 (f) 1\/238885\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (946\/118 + -8)*9*5 and -22\/9.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623460184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*s**3 + 0*s - 146*s**3 - 9*s - 159*s**3.\nAnswer: -475*s**3 - 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 75 = -26*k. Suppose -16 = -11*o + k*o, -40 = -2*r + 5*o. Let b = 50 - 48. Solve 2*a + b = r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21850498?\nAnswer: 2, 37, 295277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6120.38 + -6120. Which is the fourth smallest value? (a) m (b) -0.5 (c) 4 (d) 6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82115 greater than or equal to 410578\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -511 - -514. What is the common denominator of -59\/27 and m*2\/(-12)*(-232)\/324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 360 = -15*z, -2*q - 2*z = -6*q - 31321 + 31255 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4698 + -2655. List the prime factors of c.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56358855 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**2 - 9*k + 82. What is the remainder when q(-7) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2340*z = -960 - 11712 - 4985 - 3403 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -48. Solve 2*n + 6 = -4*z, -4*n - k = 2*z - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.370655 micrometers to kilometers.\nAnswer: 0.000000004370655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2083757 and 979.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let o be ((-4)\/(-10))\/(15\/(-1350)*-6). Let n(k) = -39*k + 7. Let h(u) = 3*u - 1. Let d(y) = o*h(y) + n(y). Determine d(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 4. Let d(p) = 3. Let v(l) = l**3 + 4*l**2 - 8*l - 17. Let z be v(-5). Give z*t(n) - 3*d(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 529968601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*b - 13*b**2 + 552*b.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-292*q + 33*q - 42*q)*(1 + 3 + 3).\nAnswer: -2107*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/63759 (b) -2\/7 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**2 - m - 9. Let o(c) = c - 3. Let a(z) = -l(z) + 2*o(z). Let b(f) = 64*f**2 + 28*f + 28. Give -28*a(j) + 3*b(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 133.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 14.0832 millennia?\nAnswer: 1408.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4794598, 4794592, 4794576, 4794544, 4794490, 4794408?\nAnswer: 4794292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 43 = 17*w - 12*w, -3*w + 19 = 4*y. Solve -2*b - y = 3*u, 0 = 26*b - 30*b + u + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzi when three letters picked without replacement from {a: 1, i: 1, l: 2, h: 1, t: 1, z: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/(-14) - 2\/7. Let j = -110695.1 + 110695. Which is the closest to j? (a) -1\/3 (b) f (c) -2.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = 5*c - 136, k + 83 = 3*c. Suppose -c*n = -46*n + 209. What is the highest common divisor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3)*18\/12. Calculate the smallest common multiple of 11 and (-8)\/3*6\/x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2. Let d(u) = -3*u**2 - u**2 + 5*u**2. Give k(d(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**4 - v**2 - 1. Let n(m) = 12*m**4 - 9*m**2 - 3. Suppose -35 = -11*i + 9. Let c(q) = i*n(q) - 36*y(q). Find the first derivative of c(l) wrt l.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.708 rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -404*j**2*r**2 - j**2 - 2*j*r + 2*j wrt r?\nAnswer: -808*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 38 (b) -0.286 (c) -3\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = 10. Let t = n - -15. Let f be (t\/(-8))\/(2\/8). Which is the closest to f? (a) 1\/4 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*w**2 - 21506*w + 5764.\nAnswer: 2*(w - 262)*(41*w - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 10. Let j be d(-6). Suppose y = c + 22, j*y - 88 + 0 = 3*c. What is the greatest common factor of 66 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/14)\/x)\/(x**(1\/9)*x*x))\/(x\/(x**9*x)*x*x**(-10)\/x) assuming x is positive.\nAnswer: x**(1993\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3125.284 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 21. Let t be k(-10). Suppose 5*h + 3*a - 50 = 0, 2*h - 31 = 3*a - t. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 + (-15 - ((2 - -25) + -50)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100011 + 0?\nAnswer: -100010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-25)*-9 + (-30)\/(-3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 + 2 - 15*y**2 + 3*y + 10*y**2)*(0 - 3 + 1).\nAnswer: -2*y**2 - 6*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115919 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlq when three letters picked without replacement from {l: 3, z: 1, q: 5, h: 4}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 3*a + 3*a + 2*a**2 - 2*a**3.\nAnswer: -a**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let h = q + 5. Suppose h*u + u + 5*d - 49 = 0, -2*d - 42 = -4*u. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 3*p - 5*p)*(3*p - 2 + 2) + 0*p**2 + p**2 + 3*p**2 as z + j*p + i*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*a - 20 = 0, -2*z + 2*a = 4*a. Let v be 8\/(-6) - z\/15. What is the remainder when -2*(186\/4)\/v is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - (-35)\/10)\/((-3)\/54). What is the highest common divisor of 315 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 0)\/((-3)\/(-5)). Let x = 8 - j. Let v(r) = 2*r**2 - 2*r. What is the least common multiple of v(2) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -5 (c) -632 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7}. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196261*l**4 - 550*l**2 - 85.\nAnswer: 4710264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5117 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -376, -366, -340, -292, -216, -106?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 14?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -22.39258739?\nAnswer: 16.39258739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 16. Let j(g) be the third derivative of -g**6\/120 - g**5\/15 + g**4\/12 + g**3\/2 - g**2. Give j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*g**5 + 6*b**3*g + 5262*b*g**5 + 455*b*g**2 wrt g?\nAnswer: -120*b**3*g**2 + 315720*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlql when four letters picked without replacement from {l: 3, t: 2, v: 8, q: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00322594 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + 0 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -9, 0, 2 in descending order.\nAnswer: 2, 0, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-90))\/((-28)\/(-70))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8293, -28, 2 in increasing order.\nAnswer: -28, 2, 5, 8293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*p + 2*h - 57, 3*h - 55 = -5*p. Let o(s) = 5 - 6*s**2 + s**3 - 7*s - s**2 - 2. What is the units digit of o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -424 + 426. Let x(w) be the third derivative of 0*w**3 + 0*w + 0 + 1\/24*w**4 + 0*w**5 - 1\/120*w**6 - 2*w**a. Solve x(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.05, 2\/7, 9, 2, 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2, -2\/7, 1\/2, 23\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*d + 6 = 0, d = -5*q - 0*q + 12. Let p(o) = 4*o**2 + 2*o + 1. Suppose -5*n = 1 + 4. Let z be p(n). Solve 0 = -q*x - z + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 297 = -2*u. Does 38 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59.9981 years?\nAnswer: 0.599981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951 + 2241 = 29*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09157 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from ffidiii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343486?\nAnswer: 2, 671743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/20 - (-12)\/20. Solve 0*s - 5*r + 12 = z*s, -3*r = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 2. Let z be s(6). Suppose -l - 4*n = -0*n - 18, 26 = 5*l + z*n. Let q = l + 0. Solve -j = q*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t - 1160. What is o(-214)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22584427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(5\/((-10)\/(-4))). Let h(v) = v - 6. Let t be h(o). Let c(u) = -3*u + 2. Calculate the lowest common multiple of c(t) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 9833*z**3.\nAnswer: -9833*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2556140*z**2 + 6*z - 6126?\nAnswer: -5112280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 22, -1, 4, 429?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2301\/11 - -209. Let l be (8\/60)\/(-2 - -1). Which is the second biggest value? (a) l (b) k (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 477201 = -476651 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -722142 and 1329?\nAnswer: 723471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6395*c + 2142*c - 918 = -2137*c - 2150*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmz when three letters picked without replacement from {m: 3, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 25. Let h be q(20). Find the common denominator of 2\/55 and ((-776)\/(-300))\/(33\/9 + h).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j - 38. Let i be x(-6). Solve m = i - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + y + 301 - 340 = 0, 5*y = -4*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 + 7*f - 2. What is a(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43f (base 16) in base 7?\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3*l - 3*l)*(-56*l**2 + 53*l**2 + 9 + 0).\nAnswer: -9*l**3 + 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061750?\nAnswer: 2, 5, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -170 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227565669 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = z + 3*z. Let v = -18 - z. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 164*o**3 - 778*o**2 + 616*o.\nAnswer: -2*o*(o - 77)*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - 166600531?\nAnswer: -166600552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1157092\/84 - (7\/(-5) - (-8768)\/6720)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (-6 - (25 + (-6 - (-5 + 18)))).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8252, 16516, 24796, 33098, 41428, 49792, 58196?\n\"Answer: g**3 + 2*g**2 + 8251*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 4, q: 8, r: 4, x: 1}. Give prob of picking 1 x, 1 q, and 1 e.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.8 - -40.72. Let u = -0.02 + 0.1. Let o = u + t. Which is bigger: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose -x*k = 5*k. Let p(r) = r**2 - r - 5. Give p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)*2 - (sqrt(35) + 1*sqrt(5040) - sqrt(35)))\/(sqrt(5) - sqrt(720) - 2*(sqrt(5) + sqrt(15)\/sqrt(3))).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 4*h**2 - h + 4. Let j be v(-5). Let t = -100 + 153. Let l = t - j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -10100110011?\nAnswer: -10100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 13*t + 8. What is the third derivative of 4*l**5 + 0*l**2 + 3*l**2 + 0*l**t + 5*l**2 wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304434000 (base 6) to base 12\nAnswer: -5178900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 54*k**2 - 521*k + 5200. Calculate l(45).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 40*h**2 + 26*h - 78. Give r(40).\nAnswer: 962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*m**3 - 1232\/5 - 292\/5*m**2 - 1216\/5*m.\nAnswer: 4*(m - 77)*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/225 - (-2)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2 + 36*s + 16060 = 0.\nAnswer: -110, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*q + 12 = 0, 5*z + 74*q = 73*q + 3. Determine l, given that -4 - 2\/3*l**3 + 10\/3*l + 4\/3*l**z = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 38*x**3 + 246*x**2 + 610*x + 400.\nAnswer: 2*(x + 1)*(x + 5)**2*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -4) + (-12)\/6. Let d(p) = -9*p + 1. Calculate the remainder when d(-1) is divided by r - (4 - 0)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 9*g + 12. Let x be r(10). Suppose 0 = 5*c - 5*h + 2275 - 6600, 0 = -5*c + x*h + 4331. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 5298?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*b + 83 = 126, 3*x - 2*b + 37 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218 and 23326?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.4 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102222*a**2 + 71115.\nAnswer: 204444*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhpprhvvdrvhvhp. Give prob of sequence pprp.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4820, -1, 5, -2, 2 in descending order.\nAnswer: 4820, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -459 - -459. What is the third biggest value in -2\/25, -7, c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - m = -15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-22))**(14\/3)*t**(-2\/31)*t\/(t\/t**(-25)) assuming t is positive.\nAnswer: t**(-11879\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -7. Sort -2\/9, 5, g in decreasing order.\nAnswer: 5, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637482 to the power of 1\/2, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 10 + 17. Suppose 7*a + 8 = v*a. Solve -3*x + 4*x = 4*i - 4, a*i - 4 = 3*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 920 - 2771 + 928 - 5*n + 923.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2133 + -2097.02. Let q = t - 0.98. Which is the biggest value? (a) q (b) 2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 764199 times -0.18\nAnswer: -137555.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 246, -4.\nAnswer: -4, 20, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-522)\/33 - 16\/88. Let m = 52 + -49. Suppose 0 = 13*s - 10*s - m. Sort -1, 2, j, s in increasing order.\nAnswer: j, -1, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 6*u - 511*u**2 + 510*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Which is the smallest value? (a) t (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/6 + 16\/(-30 - -28 - (-1 - -1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 2 + 0*k**3 - 3*k**2 + 2*k**3. Suppose -52*i = -47*i - 15. Let q be b(i). Solve -q*y - y + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3161\/118472 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 3605?\nAnswer: -3603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:58 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 9:04 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-27)\/21 - (-3 - -3). Which is the nearest to w? (a) 0.4 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1194 + -590. List the prime factors of r.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, t: 3, q: 4}. Give prob of picking 3 t.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840048463 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccaacfccccaca?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -1, -4*k + 2*l + 0*l = -74. What is the least common multiple of k and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16892*k + 75548 = -18609*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -21*v. Let r(j) = 42036*j**2 - 620*j. Let h(q) = 475*q**2 - 7*q. Let t(f) = -620*h(f) + 7*r(f). What is y(t(b))?\nAnswer: 5208*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3\/(-6)*0)\/2)\/(-2). Suppose -13*g + 0*g + 19253 = d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 + 11706\/(-15). Let v = n + 381. Find the common denominator of 43\/10 and (2\/(-24))\/(3\/v).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608 divided by 286?\nAnswer: 304\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-182)\/39 + 5 - 10\/(-6). Suppose 2*w - 14 = 3*u + 6, -5*u = w + 16. Sort q, -4, w.\nAnswer: -4, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (8 - 5) - 0) + (148 - 91)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k. Suppose l - 1 = -k*l. Let p be (-1*2 - -3)*l. Which is the closest to -0.1? (a) 3 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -785 - 0.2.\nAnswer: -785.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**3 - 5*b**2 - 14*b - 5. Let x(q) = 8*q**3 - 4*q**2 - 13*q - 4. Let n(l) = 4*d(l) - 5*x(l). What is the second derivative of n(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -742*c**3\/17 - 738*c**2\/17 + 4*c\/17.\nAnswer: -2*c*(c + 1)*(371*c - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/20 - 3*a**4\/4 - 4*a**3\/3 + 2*a**2 - 6*a + 30. Calculate p(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 24991395.\nAnswer: 24991395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 4\/15, -4, 1.3, 2\/7?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 10. Suppose 34*r - 14*r = 180. Give m(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 8*k**2 + 103042*k + 618325. Determine p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 2*z + 1466799 - 1466799 + 5*z - 2*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 30, 5, -2, 677 in ascending order.\nAnswer: -2, 4, 5, 30, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (380474*p**3 - 381191*p**3 + 1 + 3)*(-3 + p + 3).\nAnswer: -717*p**4 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20220 (base 3) to base 2.\nAnswer: 10111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1276427*t**4 - 8*t + 1779?\nAnswer: 15317124*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24221610 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1\/7, -1, -1183, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.1 + -2.9. Let g = -45.4 - i. Sort -3, g, 1\/11, 3 in descending order.\nAnswer: 3, 1\/11, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -33) + -12 + 32 + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o + 18. Let f(h) = -2*h + 3. Give -c(r) + 8*f(r).\nAnswer: -8*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbzcrcc. What is prob of sequence zcb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.18 (b) 0.2 (c) -0.0257 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:09 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 146 = -56. Suppose 0 = f - 2 - 3. Suppose 2*w = f*w - 357. Calculate the remainder when w is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 2)*(2 - 1 + 0) + (2 + 3 - 7)*(-2 + 5 - 5))*(-4*q + 5*q + 2*q)*(-162*q + 0 - 7 + 164*q) as l + v*q + y*q**2 and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*f - 10 = -5*f, -i + 4*f = 6. Suppose -3 = -3*k - 2*a - 0, -i*k = -5*a - 21. Solve 2*o - k = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 404646*x.\nAnswer: 3*x*(x - 134882)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5 + t + 857*t**2 + 5*t - 834*t**2. List the prime factors of c(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13398348 to the power of 1\/2, to the nearest integer?\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -508323 or -508313?\nAnswer: -508323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2*z**2 - 21. Let s(i) = -i**3 - i**2 - 1. Suppose 138*x - 19 + 114 = -43. Calculate x*f(p) + 3*s(p).\nAnswer: -2*p**3 - p**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/(-186)*6\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*r - 59 + 217 = 0. Let a(z) = 16*z**3 + 3*z**2 - 2*z + 7. Let l(w) = -w**3 + w - 1. Let g(v) = -a(v) - 4*l(v). Is 17 a factor of g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6311 (base 13) in base 14?\nAnswer: 4dcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 1. Let s(o) = 5*o**3 + 2*o**2 - o + 5. Let p(a) = -3*m(a) + s(a). What is p(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 25629.84?\nAnswer: -128149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5. Let b(n) = -n**2 - 1. Let o be b(1). Let i be (-4)\/(-2) + 0 + o. List the prime factors of k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.3060842 rounded to 0 dps?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:10 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-288)\/(-252))\/((-8)\/(-140)). What is the greatest common divisor of s and 5620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b6 + 4?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 = 3*a + 37, p - 10 = -a. Let c(m) = m**3 - 4*m**2 - 4*m + 5. Let j be c(5). Suppose -z + p = -j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -433720, -433801, -433882, -433963, -434044, -434125?\n\"Answer: -81*j - 433639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h - 890 + 204 - 1245 = -164 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**6\/36 + 2*a**5\/15 + a**4\/24 - 5*a**3\/9 - a**2\/3 + 4*a\/3 + 4. Solve b(c) = 0 for c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/50*(-10)\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpp when three letters picked without replacement from mmpmqsmqpp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46\/5 + 44\/5. What is the nearest to h in 0.5, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -40\/7, 2, -1.9, 2\/13, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80736 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.8 + 12. Which is the second biggest value? (a) r (b) -22 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/k*((k*k**(-5))\/k*k*k)\/k)**(-17)\/((k**(2\/7))**(-19\/2)*(k\/(k*(k**(2\/5)*k)\/k))**30) assuming k is positive.\nAnswer: k**(1174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1162232, 1162221, 1162210?\n\"Answer: -11*z + 1162243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -105*f - 10. Let v(l) = l + 1. Let p(c) = -r(c) + 5*v(c). Let d be p(12). Suppose -2*z - d = -7*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/7)\/2)\/(352\/(-1232))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from nnznhnzh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 275, 972, 2411, 4964, 9003, 14900, 23027?\n\"Answer: 62*i**3 - i**2 + 266*i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = a + 4*f, -25 + 3 = -a + 3*f. Suppose c - a = -6. Calculate the lowest common multiple of c and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 93764*g\/5 - 3296882886\/5.\nAnswer: -2*(g - 70323)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-5 + (11 - 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-10))\/((-4)\/20). Let v(o) = -o**2 - 7*o - 3. Suppose -5*w = -0*w + 30. Let k be v(w). Solve 5*u - h = -k*c, 3*c - 2*u = -0*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 - 0.165. Round l to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(-1*sqrt(11)))\/(4*1*sqrt(8)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(-1\/22)\/((d\/(((d*d*(d**(-1\/11)*d)\/d)\/d)\/d)*d)\/d*d**(-1\/7)) assuming d is positive.\nAnswer: d**(-59\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j**2 - 67*j + 35. Is 13 a factor of h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1243, 1266, 1303, 1360, 1443, 1558, 1711?\nAnswer: 1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + f - 11*f + 9*f)*(-5*f**3 - f**3 + 3*f**3 + (-1 + 2 + 0)*(4*f**3 + 0*f**2 + 0*f**2) + f**3 - 2*f**3 - 2*f**3).\nAnswer: 2*f**4 - 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/16 + 10 - (-7)\/4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 736 + -725. Let q be 0 - (-3 - -1)\/1. Find g such that -k*g**2 + 8*g**q + 15*g + 9*g + 0*g**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-3))\/(74\/(-185)). Solve -3*h - q = 3*f + 7, -4 = 2*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-2\/7)*b)\/b)**(1\/6))**(-14\/9)*(b\/(b*(b**2*b)\/b)*b**(-3\/5))**(-27) assuming b is positive.\nAnswer: b**(9452\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 w, and 2 j when four letters picked without replacement from kkcjcwijpcjjcjkcjijj?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 293 and -48.16.\nAnswer: 244.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -109*l + 88*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = 5*n. Let d = 10943\/38 + -288. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16332, -16310, -16288?\nAnswer: -16266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -23*f**6\/660 + f**5\/165 + 23*f**4\/132 - 2*f**3\/33 + 18*f**2 + 3. Let c(k) = 0. Calculate k.\nAnswer: -1, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j**5 - 204*j**4 - 1752*j**3 - 6930*j**2 - 11775*j - 5250 = 0.\nAnswer: -7, -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1966867*a**4 - 3*a**2 - 242089 wrt a?\nAnswer: -47204808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*y + 848*y + 229*y = -92168 - 9020 for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -15\/79?\nAnswer: -15\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*z**2 - 267*z**2 + 3*z + 7*z**3 + 129*z**2 - 3*z**4 + 2*z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/4 (b) 2\/15 (c) 27881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-4) + 1)\/((-7)\/(-28)). Calculate the common denominator of -18 and (-32 - -3 - z)*(-2)\/(-21).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -90553*a - 814968. What is v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 731*v - 1555*v + 824*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n. Let z(t) = -4*t. Let j(m) = -3*s(m) + 2*z(m). Let u(f) = -5*f**2 + 12*f - 12*f + 0*f. Calculate u(j(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 35*i + 143 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.819 + 92.77. What is z rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 2*g**2 - 24*g - 217. Is o(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531486 is divided by 177123.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*y**2 - 10*y - 34 wrt y.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 + 6*o + 1. Suppose 0*u + 3*u = -24. What is the remainder when w(-8) is divided by (u\/2)\/(10\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 6. Let b be a(-5). Let v be (-1952)\/3355 + 3\/((-99)\/(-6)). What is the fourth smallest value in 0.4, b, v, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4922, -37, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 449026?\nAnswer: 8980520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207405 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 163 = -2. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242554 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 116. What is the remainder when 28 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -598 - -1130. Let u = -70 + j. What are the prime factors of u?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245040 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-54) + (-4692)\/27. Let q = -155 - y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 359, -5 in decreasing order.\nAnswer: 359, 84, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -39.2. Let w = -0.2 - -0.7. Which is the second smallest value? (a) w (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1026 (base 10) to base 11\nAnswer: -853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (355 - 355 + 58*y)*(221*y + 204*y + 54*y - 93*y).\nAnswer: 22388*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 148\/1109 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81051887 divided by 11578841.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -627.000000533 + 627. Round u to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 12:23 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*-5*(-9)\/180. Let q = 2\/3 - 1\/3. Which is the nearest to m? (a) 1\/5 (b) q (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7998252ml to litres.\nAnswer: 0.0007998252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*h**3 + 2*h**4 + 430*h**3 + 468*h**3 - 103*h**3 + 1 - 3*h**2 to the form k*h**4 + p*h**2 + d*h**3 + i*h + q and give d.\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*a**4 - 2\/15*a**5 + 4\/5*a**2 - 2\/15*a + 4\/15*a**3 - 2\/5 = 0. What is a?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 - -1157520.2453.\nAnswer: 1157475.2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 131, 370, 707, 1130?\n\"Answer: -2*c**3 + 67*c**2 - 58*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -764 smaller than -765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - h + 21. Let o be q(0). Let c be o\/(-2)*(-12)\/9. Let k = c - -10. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x + 7*x**3 + 8041 - 8041.\nAnswer: 7*x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3334, 5, 2, -5, 68 in descending order.\nAnswer: 3334, 68, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -758669927.9 and -68.\nAnswer: -758669995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 3 - 3*d**2 - 3*d**3 + 4*d + 18 + (-1 + 1 + 2*d**3)*(-2 - 2 + 1) to the form m*d + n*d**3 + t*d**2 + x and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 23975 = 3*r + 6*l, 4*l = 20. Round r to the nearest one hundred.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-7 + ((-105)\/(-7))\/3). Let d(x) = -x**3 + 14*x**2 + 18*x - 50. Let c be d(15). Put c, a, -295 in decreasing order.\nAnswer: a, c, -295","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8804106023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64 - 35 + 120)*(-6*b**2 + 2*b**2 + 2*b**2) - 8*b**2 + 3*b**2 - 12*b**2 to the form k + y*b + l*b**2 and give l.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/7))\/(l\/l**1))\/(l**(-1\/25))**(-33\/4) assuming l is positive.\nAnswer: l**(669\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26367860*a + 5325043?\nAnswer: 26367860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(445\/(-225) + 2). Solve c + o = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.89 rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.0755?\nAnswer: -2.9245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554*(98\/7 + -13) is divided by 208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73888, 147876, 221864, 295852?\n\"Answer: 73988*w - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31031687, -31031686, -31031685, -31031684?\nAnswer: -31031683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2299, -23, -120 in increasing order.\nAnswer: -120, -23, 5, 2299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 142. Let o(b) = 41*b + 14. Let k(a) = 59*a + 20. Let y(m) = -7*k(m) + 10*o(m). What is y(d(v))?\nAnswer: -6*v + 426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/5, 5, 3, 418.4, -2 in descending order.\nAnswer: 418.4, 5, 3, 2\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.064. Let o = -58.064 + l. Let f = o - -57.999963. What is f rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - u + 2. Suppose -2*i = 7*i. Let f be h(i). Put -8, f, 3 in decreasing order.\nAnswer: 3, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x**3 - 3*x**2 - 3*x - 11. Let v(p) = 48*p**3 - 8*p**2 - 8*p - 31. Determine -8*i(m) + 3*v(m).\nAnswer: 24*m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:24 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let n be (-120)\/25 + (-2)\/10. Let k(y) = -4*y**2 - 5*y. Let s(m) = -4*m**2 - 4*m. Let l(b) = n*s(b) + 4*k(b). Determine l(i(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.141?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38232625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 614*m**5\/5 + 503*m - 41. Differentiate v(l) wrt l.\nAnswer: 2456*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 731075826*m**3 + 18814068*m + 1?\nAnswer: 4386454956*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*n**2 - 56*n**3 + 62*n**2 - 10*n - 7*n**3 + 10*n + (3*n + 3*n + 3*n)*(n**2 + 2*n - 2*n) to the form j*n + g*n**3 + q + t*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7*u + 5. Let x be y(7). Let p be 3\/15 + (-26)\/x. Let c(o) = -2*o - 3. What is the units digit of c(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1206 (b) 3 (c) 0 (d) 4 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46005 rounded to three decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -33*k**3 + 6*k + 1. Let u(c) = -100*c**3 + 16*c + 1. Give -8*a(n) + 3*u(n).\nAnswer: -36*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*t**2 - 64 - t**2 + 280*t**2 + 15 + 49.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -22) + -2 + -1. Suppose x + 4*s + 5 = 2*s, x - 3*s - h = 0. Solve -l + 9 - x = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63237569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 43. Solve 0 = l*a + 19 - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 10\/693, -0.17, 2\/19, 2\/3 in ascending order.\nAnswer: -0.17, 10\/693, 2\/19, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 - 16*y - 24. Let j be g(-12). Suppose 25*p = -4*a + 28*p + 57, -a = -4*p - j. What is the highest common factor of a and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*d + 10, -4*s = d - 2*s - 20. Solve 25 = d*b - 15*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 4*n = -10*h + 7, 3*h + 5 = 4*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q - 132*q - 1046*q = -60480 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -64.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -33*c + 6. Let m(l) = -l + 1. Let j be (3 + 40\/(-12))\/((-8)\/96*-4). Determine j*r(t) + 6*m(t).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135760 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5 + 511*b**4 - 2*b**2 + 130 wrt b.\nAnswer: -120*b**2 + 12264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 9. Suppose 4*y - 138 = 2*i, -13 = y + 3*i - 44. Let z be 2\/(-2*2\/y). Let b be 2\/(-8) + z\/(-4). Give t(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilt when three letters picked without replacement from {b: 1, y: 4, t: 2, h: 2, i: 2, l: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) - (5 + -2*sqrt(2) + sqrt(2)))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033495263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3193 - 1123. List the prime factors of m.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 3264040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31 + 0.01. Let t be ((-4)\/((-8)\/(-3)))\/(6\/8). Which is the closest to 2\/9? (a) x (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - o**2 - o. Let h be c(-1). Let d(t) = 7 - h*t - 4 + 2 + 1. Suppose 0 = -3*u + 6*u - 12. Give d(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7204 or -0.2?\nAnswer: 7204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u = -80 + 59 - 720 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13208*r - 2*n + 1 = 13213*r, 5*r + 1 = -3*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9679 + -9674. Sort -25, w, -11, 1 in ascending order.\nAnswer: -25, -11, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25596\/(-13035)*80\/(-144)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593 is divided by 68 + (1 - (-6 - (7 + -17))).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12335492 by 4.\nAnswer: -3083873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 4, -0.5, 0.1, -2\/5, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 4)*-1*6\/(-10). Factor 0*y + 10\/7*y**5 + 0 - 2*y**4 + 4\/7*y**i + 0*y**2.\nAnswer: 2*y**3*(y - 1)*(5*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6*(8 - 870\/12). Which is the nearest to -1\/3? (a) 1 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/204*-1)\/(9\/(-12))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 24. Suppose u - 4*c - 12 = 0, 4*c - 32 = -3*u - 60. Sort q, u, -5 in increasing order.\nAnswer: -5, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 441112?\nAnswer: -441134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 3416d0?\nAnswer: 3416d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and -53\/1264.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 10133?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8935 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1076 divide 1348363576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 397032 and 876.\nAnswer: 28983336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 2. Let t be p(2). Let r = t + -4. Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/665184 and 31\/12792.\nAnswer: 665184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5212.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 + 4 = 0. Find the first derivative of -75 + 0*v**3 + 2 + 4*v**3 - 8*v**x wrt v.\nAnswer: 12*v**2 - 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24\/13 - 135\/52. Which is the closest to 0? (a) 2 (b) -11 (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/4 - a**3 - a**2\/2 + 2*a - 329. Determine k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r = -40. Let j = r + -9. Suppose -3 + j = -v, -3*m + 5*v + 29 = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 5. Let a be y(7). Suppose 59 = -5*t + 2*f, 5*f - 13 + a = 2*t. Let v = 25 + t. What is the least common multiple of 4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -22. Suppose 0 = 5*t - 2*i - 38, 16 = 4*t - 0*i + 2*i. Let o = a + t. Calculate the remainder when 11 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-6)*(8\/4)\/24?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 43. Suppose k = 5*d + 5*i - 510 - 245, -d + 2*i = -148. What is the second derivative of 65*r**3 - 2*r - d*r**3 + 53*r**3 wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 3*n**4 + n**2 + (-2 + 5*n**3 + 2)*(-n + n - 2*n).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = -9. What is the units digit of (-5 - -2)\/(y\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 0 - 508\/(-2). Suppose -5*u = -8*u + i. Suppose 0 = 4*m - 4*n - 60, 4*m + 6*n - 66 = 8*n. Calculate the remainder when u is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/((-5)\/(-10)). Calculate the remainder when 15 is divided by (-8)\/6*(a - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202, -555, -1148, -1981?\n\"Answer: -120*a**2 + 7*a - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 8 + 12, 28 = 4*w + 2*n. Put -3, 1, 2, w in decreasing order.\nAnswer: w, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -85, -99, -113?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12) - 34\/72. What is the fourth biggest value in -5, -2, -5\/2, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-1 + 3) - (-9 + -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2485 times 80.95?\nAnswer: 20.116075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (27 + -4 + -6)) + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220272 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8. Suppose w = -f - 3*f + 136. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/3 + 32382*c = 0.\nAnswer: -97146, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 200, 187, 166, 137, 100?\n\"Answer: -4*x**2 - x + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 10 - 8 - 1 + 12*a as t + x*a and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 26267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 4)*(2 - 2 + 1)*(55 - 55 - 35*b) as w*b + a and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -162 + 162 - 248*m**2 + (-1 + 2*m + 1)*(-2 + m + 2) in the form i*m + p*m**2 + z and give p.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3024)\/2261)\/(-6) + (-4)\/34. Which is the biggest value? (a) 147 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 13*k - 393649 = -393230, 5*m - 2*k + 56 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 3*i - 6*i + 3*i. Calculate w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19254*t**3 + 37*t**2 + 2016678*t?\nAnswer: -115524*t + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -21 - (-3 - -2 - (3 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2527899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozozzooooooo. Give prob of picking 1 o and 3 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**4\/3 + 3175*n**3\/3 - 104110*n**2\/3 - 195600*n - 159840 = 0.\nAnswer: -666, -4, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 7*c - 52. Give p(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1032127*w**3 + 9*w**2 - 96214472 wrt w.\nAnswer: 3096381*w**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f - 42*f**2 + 28*f**2 - 5 + 16*f**2 + (1 - 1 + f)*(0*f + 0*f - f) - 2*f**2 + 0*f**2 - f**2.\nAnswer: -2*f**2 + 10*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 + -1012232?\nAnswer: -1020233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let b(h) = 220*h**2 + 585*h - 5. Determine b(f(j)).\nAnswer: 220*j**4 + 585*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 34. Let g(f) = -f**3 - f**2 + f - 1. Let p(z) = 17*z**3 + z**2 - z + 10. Let a(d) = s*p(d) - g(d). Differentiate a(k) with respect to k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1846 - -1851. Solve -3*r - 10 = -2*b, -b = 6*r - r - h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 155?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3339 and 0.564.\nAnswer: -1883.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 11*y**2 - 17*y - 4. Let c be x(-10). Let s = c - 53. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + 2*v - 3*v**2 - 3*v - 6. What are the prime factors of u(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/11 (b) -0.5 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4831, -4829, -4827?\n\"Answer: 2*v - 4833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1 = 5*m, 4*o = -152*m + 149*m - 47 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -28 (b) -0.5 (c) -1\/389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 1, -4.\nAnswer: -4, 1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 3 - 2*v + v**2 + 1. Suppose -10 = 5*r - 0*r. Calculate d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.4 (c) -11481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80 or 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -17*g + 49. Let v(p) = 8*p - 23. Let m(l) = 13*v(l) + 6*z(l). Determine m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207624949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -603204059 not equal to -603204060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*i - 393 = 115*i - 210*i + 87 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = -9, -3*m + 5 = 4*n. Let g be 18\/24*(5 + n). Solve -8 = -o - 0*f - 3*f, f + 8 = -g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 802040 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111.5 - 111. Sort 0.1, 0.05, r.\nAnswer: 0.05, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 2*q**2 - 2*q + 2. Let d(j) = -j**3 + 4*j + 2. Let u be d(-2). Calculate c(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-112))\/(-28*15\/(-1008)*(-9)\/(-10)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3068 + -3073. What is the third biggest value in 2, w, 31?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 3620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8129, -16117, -24105?\n\"Answer: -7988*b - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 134 + 98 = -3*j, -4*j + f + 48 = 0. Calculate the least common multiple of 42232 and j.\nAnswer: 126696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 955683?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 2, s: 2, a: 4, r: 1}. Give prob of picking 1 v, 1 r, and 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*-72.\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 26*n**5\/5 - 1684*n**4 - 407546*n**3\/5 - 1551052*n**2\/5 - 229008*n\/5 = 0.\nAnswer: -39, -4, -2\/13, 0, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g - 1. Let j(q) = -q**2 + 9*q - 3. Let k be j(9). Let m be v(k). Which is smaller: 37 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10110 by 674.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*m - 4, 3*z - 2*z = m - 4. Solve 7 = 3*k - m*t + 18, -2*t + 14 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (231\/(-165))\/((12\/(-70))\/(-1)*7).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 108 (b) -0.1 (c) 3\/5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1052, 4\/5, -0.2, 0, -1 in decreasing order.\nAnswer: 1052, 4\/5, 0, -0.2, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 2, 0.1, 0.81 in decreasing order.\nAnswer: 4, 2, 1, 0.81, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = -3*l - 13, n = -3*l + 7. Let p(k) be the third derivative of 1\/12*k**5 + 0 + 0*k**n - 5*k**2 + 0*k + 0*k**3. Factor p(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpopogpgpo. Give prob of sequence ogp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*l**2 - 2260*a**2*l*v - a**2*v + 2*a*l**2*v - a*l**2 + 2*a*l*v - 6444*l**2*v wrt l?\nAnswer: 2*a**2 + 4*a*v - 2*a - 12888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 204*v - 206*v, 2*i + v + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(sqrt(88) + -1*sqrt(88))*-4)\/((sqrt(216) + (sqrt(216) + 1*sqrt(216) - sqrt(216)) - sqrt(216))\/sqrt(3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28782 (base 11) to base 14.\nAnswer: -10c71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 11*d + 6. Let j(a) = -a**2 + 3*a + 2. Let b(h) = -7*j(h) + 2*k(h). Suppose 3*z = -12*z - 60. Determine b(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + y + 281 + 84, 0 = d + 4*y + 92. Let p = d + 126. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k. Let c be r(2). Let b = -5 + c. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861627 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 75. Suppose -879 = i - a*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -u + 1, -2*k - 3*u = -13. Solve 30 = -3*t + 5*j, t + 4 = -j + k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + -1*(sqrt(99)*-1 + 0))*3.\nAnswer: -18*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 3\/16, -0.13 in decreasing order.\nAnswer: 2\/3, 3\/16, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 + 2*r**2 - 5*r**2 + (3*r + 4*r + 3*r)*(1 - 1 - r))*(r - 3 + 3).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*i + 2292 - 4281 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021 (base 6) to base 13.\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 3*f = 24*b + 156, 6*b = 3*f + 108 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1198*f**2 + 10*f - 165. Is b(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31840275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + y = y. Let t = 2035\/6 + -340. Let o = -0.06 + -0.44. Which is the smallest value? (a) t (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*l**6*v + 41610037*l**6 + 975253208*l**2*v wrt l?\nAnswer: 960*l**3*v + 4993204440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(-76) - ((-5850)\/24 - 4). Calculate the greatest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 138\/78)\/((-14)\/(-91)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-114513)\/63)\/133)\/((4\/6)\/2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2935704 divided by 733926\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1790285 - -1790295.999972. Let f = i - 11. What is f rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209378108.\nAnswer: 2, 23, 61, 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than 80767081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i - 36. Let c be u(13). Suppose -c*d + 5990 = 230. Suppose -5*l + 460 = -5*b, 2*l + 4*b - d = -2*l. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(1 - 1). Suppose j = 4*z + 6 - 50. Let t = 13 - z. Solve -t*k - 5 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -15, 2, 4, 1, -7, 19 in decreasing order.\nAnswer: 19, 4, 2, 1, -7, -15, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -175\/6. Let p be 1\/(-3) - 17\/(-51). What is the nearest to 2\/5 in n, 2\/5, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30143572 is divided by 7535886.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.98602 and -0.3.\nAnswer: -4.28602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -20 + 125 - 24 - 15.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 52, 46, 28, -8?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*v - 31 = 0, 4*v - 16 = 2*q - 0*q. Let u = 289 - 205. Let o = -83.9 + u. Which is the smallest value? (a) o (b) q (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 7:10 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*z - 27. Solve z*p = v - 9, -p - 21 = -3*v - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 0 - ((-2 - 25) + 9 + -7 + 15).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n - 18. Let z = 2 + -6. Sort -5, z, n.\nAnswer: -5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p + 673 + 165*p + 211 - 83.\nAnswer: 141*p + 801","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from llrzfxlll.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2772 - 4515?\nAnswer: -7507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*d**4*h - 25*d**4 + 335*d**2 + 2*h wrt d?\nAnswer: 168*d*h - 600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574 and 324086?\nAnswer: 13287526","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5284*b - 44. Let o be a(-2). Is -6 + o + 7 - -6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4039*z - 8094*z - 9*z**2 + 4*z**2 + 4053*z.\nAnswer: -5*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76.1 - 116.06. Let w = k + 40. Which is the third smallest value? (a) 0.4 (b) 1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39756286, -79512570, -119268856, -159025144, -198781434, -238537726, -278294020?\n\"Answer: -i**2 - 39756281*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10*u**2 + 9*u**2 - 16*u + 0*u - u**2.\nAnswer: -2*u**2 - 16*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/(-2)*(-600)\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 11*m**2 + 6*m - 13. Calculate z(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 3 = -7*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1753, -3581, -5389, -7165, -8897, -10573, -12181, -13709?\n\"Answer: 2*g**3 - 2*g**2 - 1836*g + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1021.03 - 1021. Let m = 5 + -11. Let f = m + 6.2. What is the nearest to h in -2, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1463160, 2926324, 4389486, 5852646, 7315804, 8778960, 10242114?\n\"Answer: -g**2 + 1463167*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsg when three letters picked without replacement from {g: 4, z: 4, x: 3, s: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 114. Let z be (-8)\/7*231\/(-66). Which is the second smallest value? (a) n (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6133 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: Calculate the common denominator of 53\/104 and 73\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*j = -6, -33 = -m - 4*m + 4*j. What is the units digit of (-2254)\/(-63) - (-2)\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1654297 and 1943?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 548*((-20)\/8 + 3). Let q = d + 146. List the prime factors of q.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.7 - -12.76. Let c = f - 0.04. Which is smaller: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z**2 - 5*z + 2. Let h(d) = -6*d**2 + 2*d - 1. Let o be ((-4)\/6)\/((39\/9)\/13). Give o*y(q) - 5*h(q).\nAnswer: 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - h = -3*u + 30, 2*h - 6*u + 24 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d + 72 = 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 200.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000489194584 to seven dps.\nAnswer: -0.0000489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013085 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o + 2. Let s(f) = 15*f - 9. What is -9*q(r) - 2*s(r)?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37998 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27839920\/(-12) - 4\/6. Let n be 3\/2 + s\/(-4). Suppose n = -0*u - u. Round u to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, 12246, 6 in decreasing order.\nAnswer: 12246, 6, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/50 and -111\/10001650?\nAnswer: 10001650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 51 = -5*w, -3*z + w - 3 = -44. Let h(t) = t**3 - 6*t**2 + 8*t - 6. Let d be h(5). Suppose 165 = z*k - d*k. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*f**4 - 6 - 63*f**4 + 36*f**4)*(25 + 36 - 88) to z*f**2 + a*f**4 + i + k*f + o*f**3 and give i.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 4\/(-3))*9. Let d(h) = -4*h - 13. Let q(w) be the third derivative of -5*w**4\/24 - 7*w**3\/3 + w**2. Let k(z) = -4*d(z) + 3*q(z). Calculate k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 17*w - 22. Let m be s(-15). Let j be (24\/(-21))\/(-4) - 156\/(-42). Solve -j*a = 2*k + 8 + m, a - 3 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**3 + 0*h**2 + 0 + 1\/4*h**4 + 1\/10*h**5 + 3*h. What is the third derivative of r(p) wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.6, -1.9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*k + 1606 = -1246*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 14880.\nAnswer: 163680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 493 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 67*f - 43 to u*f + k and give u.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 = -3*c - 6, -4*c - 20 = 2*r. Let o be (7 + -6 - 1) + (-50)\/r. Solve -o = -4*a - 29 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - j**2 - 1. Let s(t) = 5707*t**3 - 3*t**2 - 2. Give -3*o(i) + s(i).\nAnswer: 5698*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-14)\/(-7))\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5802, 5803, 5790, 5757, 5698, 5607, 5478, 5305?\nAnswer: 5082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 10*u**2 - 8*u - 66. Let m be i(-10). Suppose 0*y - 5*y = -2*t + m, -3*t = 3*y. Which is the second biggest value? (a) 3 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 988, 996, 1006, 1018, 1032, 1048?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5110 and 263430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-11))\/(4*(-18)\/48)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 42 = -81 + 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17230447*z**2 - 49258*z - 1310 wrt z.\nAnswer: 34460894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23488955 divided by 5\nAnswer: -4697791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107583613?\nAnswer: 433, 248461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11024 - -16233. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71573231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -386 (base 15) to base 9.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + 28. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151*a**3 - 319*a**3 - 414*a**3 - 415*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*v**2 + 678*v**2 - 2127*v**2.\nAnswer: -2023*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 123?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -413456 at least as big as -413438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -38779?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose j*l = -k, -l = k - 0*l - 2. Solve 3*p - 8*b + 4*b - 18 = 0, -k*b = -5*p + 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380 + 379.99974. Round d to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7*q - 16 + 6)*(-30 - 29 + 38)*(-5 + 4 + 0).\nAnswer: 147*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 3\/40, 2\/859, 0.05, -3?\nAnswer: 2\/859","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21*21\/90 - (-17 + 22). What is the smallest value in 0, -0.2, t, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1040, -2022, -3004, -3986, -4968, -5950?\n\"Answer: -982*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177479 is divided by 1009.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266108688*u**4 - 8857*u**2 + 4340*u - 2.\nAnswer: -6386608512*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/4 - 459*r**4\/4 + 6423*r**3\/2 - 22320*r**2 + 19224*r = 0.\nAnswer: -178, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5105*r. Let b(x) = 4*x**2 + 2*x + 1. Let w(z) = -22*z**2 - 12*z - 6. Let y(g) = 6*b(g) + w(g). What is y(i(c))?\nAnswer: 52122050*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 4*r - 3. What is the remainder when d(-4) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 785090312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -530*q + 544*q - 56. Solve 16 = -q*g + 4*t, 6*g - 4*t = 5*g - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1047272, 2094545, 3141818, 4189091, 5236364?\n\"Answer: 1047273*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215098 by -107549.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 7*c**2 - 19*c - 29. Let u be s(-6). Let m be (12 + -2)*(-4)\/10. Let q = m + u. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Suppose o - 5 - 1 = -l, 0 = 2*l + c*o - 13. Suppose 0 = 3*u - l - 1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340747403 is divided by 7528?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b - 9?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 57 = -2*y, 4*n = -2*y + 240. What is the remainder when n is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5118 or 12?\nAnswer: 5118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 39*l - 16, 0 = -5*g - l + 21. Let q(j) = -6*j**3 + 2*j**2 + j - 5. Let u(x) = -7*x**3 + 2*x**2 + x - 6. Give g*u(a) - 6*q(a).\nAnswer: a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0529218 rounded to three dps?\nAnswer: 5.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18321\/91 - 1433\/7. Let o = -50\/39 + p. Calculate the common denominator of o and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33656 - -33676. What is the remainder when 1213 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 c when three letters picked without replacement from {l: 2, u: 2, c: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -1, 2, -10\/41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8292814 rounded to 3 decimal places?\nAnswer: -0.829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 74 - 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2588.5 - 2588. What is the closest to -6\/7 in 2\/3, 6\/19, q?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*252\/630*2\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f**2 + 103*f + 97*f**2 - 103*f.\nAnswer: 134*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90 and 0.5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2.31, -0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97765 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 279038.4ng?\nAnswer: 0.0000000002790384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 73. Let z be d\/6*4\/((-96)\/(-9)). Which is smaller: z or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 z, and 2 k when four letters picked without replacement from {k: 2, g: 1, m: 1, y: 1, z: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3377280 + -3516952.49. Let x = -140916 - c. Let u = x + 1238. Round u to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {y: 7, s: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 - 19*b**2 + 10*b - 2. Let y be (15\/30)\/((-2)\/24). What are the prime factors of x(y)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (1 - -177)\/(10\/(-75)*-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 16. Let f = 12 + c. Calculate the remainder when 27 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbtb when four letters picked without replacement from {h: 5, w: 8, b: 2, t: 1}?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 183*i**2 + 1153*i + 12. Let p(n) = -3*n**3 + 182*n**2 - 1154*n - 17. Let w(k) = -3*c(k) - 2*p(k). What is the second derivative of w(b) wrt b?\nAnswer: 18*b + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 4*i + 26, a - 3*i - 13 = -10 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = u - 4*m, 9*u = 10*u - 3*m - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14106.6 and -98.\nAnswer: 1382446.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 464995247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651513985.\nAnswer: 5, 23, 41, 138179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x - x)*(-1428*x + 269*x + 348*x - 1734*x).\nAnswer: 10180*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4 - 20 + 14 + 2*c. Calculate d(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -4684.\nAnswer: -4683.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/11 (b) 27795 (c) 2\/3 (d) 1\/6 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 18, d: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888496425 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 5)*(6 + 9 - 8)*(0 - 18*d**2 + 0)*(-1 - 2 + 2 + (-4 + 3 - 1)*(1 + 1 + 0) + 2 - 5 - 1) to p*d**2 + z*d + c and give p.\nAnswer: 2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-16) - 2\/4. Find the second derivative of -2*m - 2*m**4 - q*m - 2*m**4 - 6*m wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147032?\nAnswer: 2, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -43*j**2 - 390*j - 31. Calculate z(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763649 is divided by 38182.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 0, -4, -5.\nAnswer: -7, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 2*f. Let q be p(-3). Suppose -o + 6*o + 45 = 0. Is 3 a factor of q*3 + 7 + o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*(4 + 8))\/((-6)\/(-3)). What is the third biggest value in -0.4, f, 0.1, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713 = -246*r - 517 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28665636 divided by 6?\nAnswer: -4777606","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 215553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + r + 17 = -4*r, 2*m = 5*r + 19. Let g(l) = l**3 - 1 - 4*l**3 + 10*l**m - 13*l**2 + 2*l**3. Calculate g(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 189, 184, 177, 168, 157, 144?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(931) + -4 - sqrt(931) - -5*(sqrt(931) + 0))*6)**2 + -2.\nAnswer: -4032*sqrt(19) + 134638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 31*d**3 + 13*d - 54. Let l(g) = 10*g**3 + 4*g - 18. Give -6*f(p) + 19*l(p).\nAnswer: 4*p**3 - 2*p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -583, -533, -485?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*g - 2 + 2525*g + 3477*g**3 - 3475*g**3.\nAnswer: 2*g**3 + 1917*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from efellhleffehlef?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(3 - (-398)\/(-4))*-4. What is x rounded to the nearest 10?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 174 - 21 = -79 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20593980 divided by 18\nAnswer: 1144110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 3 (c) -0.3 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 48462, 3.\nAnswer: -33, 3, 48462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*(-2 - (-5)\/2). What is the nearest to y in -3, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, -2\/5, 0, 1\/194, 11, 2 in decreasing order.\nAnswer: 11, 2, 4\/17, 1\/194, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (sqrt(1900) - (sqrt(1900) - sqrt(1900)*-4)) - (sqrt(171) + 5))**2.\nAnswer: 330*sqrt(19) + 20716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 21. Let a be i(-9). Suppose 5*g - 3*u - 146 = 0, 0 = a*g - 2*g + 4*u - 20. Suppose -109 = -3*o - g. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2875507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-3) + 6)*-5. Suppose 3*f = s*u - 14030, -3*f - u - 14042 = -0*f. What is f rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80709 is divided by 1754?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3601.282 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -977 - -985. Let c(p) = p + 4. Let i be c(-6). Let k be q + 4\/(2\/i). Solve 4*a = -4*n - 16, 2 - 9 = k*n + a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 4*z, 0 = -g - 2*z + 215. List the prime factors of -3 + g - (9 - 5).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 970456013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 16 + -15 + (6 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.85 - -0.52. Let i = g - 0.67. Let x be 1 - (-2 - (-141)\/45). Which is the second smallest value? (a) x (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -205*m - 2833. What is the remainder when 660 is divided by d(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31566, -31507, -31434, -31347, -31246?\n\"Answer: 7*f**2 + 38*f - 31611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (23 - 6)) + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(-3 + sqrt(363)) + sqrt(363) + (sqrt(363) + 2 + 5)**2)*3*-4.\nAnswer: -5124 - 1320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/9 - 3268*u\/9 - 11376688\/3 = 0?\nAnswer: -3394, 5028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 527812?\nAnswer: -527813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 137*r**2 - 653*r + 8007. Give q(-142).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 1, -3, 7 in decreasing order.\nAnswer: 45, 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 8:17 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 0*f - 2*h - 13 = 0, 4*h + 35 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00890126 - 44187.\nAnswer: -44186.99109874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -21. List the prime factors of z\/(-3) - (0 + -34).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/248 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 50 - 74 = 0. Suppose -333 = -9*g + 4*g - 3*q, -327 = -5*g + 3*q. Suppose 2*v + g = 5*k, 4*k + 0*v + 3*v = l. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2242 by -84.\nAnswer: 1121\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*-1*1\/2. Let s(p) = 2*p + 31. Let u be s(-14). What is the second derivative of 6*q - q - u*q - w*q**2 wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12050 + 12713 = -39*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 510 and 1122?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*j + 2\/7 - 2\/7*j**2 + 2\/7*j**3 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -90293, 4 in decreasing order.\nAnswer: 11, 5, 4, -90293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + (sqrt(130)*-2 + sqrt(130))\/sqrt(10) + sqrt(13) - ((sqrt(117) - (sqrt(117) - (sqrt(117) - (sqrt(117) - sqrt(117)*4))))*-3)\/sqrt(9)).\nAnswer: -5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 + 1.7. Which is the nearest to m? (a) 2\/9 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*p - 57*p**4 - 8 - 1 + 5*p + 2*p wrt p?\nAnswer: -684*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((((((o*o*(o**(1\/4)*o)\/o)\/o)\/o)\/o)\/o)\/o)*o)**(-4\/7))**(1\/8)*((o**(-6)*o)\/o**4)\/((o*(o*o*o\/(o**(-1\/5)*o*o*o))\/o)\/o*o*o**3\/o) assuming o is positive.\nAnswer: o**(-3231\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*k, 3*k + 0*k = -2*l + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**3 - 5. Let p(y) = 25*y**3 + 9. Let a(h) = 6*p(h) + 11*s(h). What is the first derivative of a(k) wrt k?\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/5))\/(b*((b**(-6)*b)\/b)\/b*b*b)*((b\/(b*b*b**0))\/b)**(-50)*(b**(-5)*b**1)**29 assuming b is positive.\nAnswer: b**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 184324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 3*i**2 - i + 3. Let o(h) = -2*h**2 - 12*h - 7. Let b be o(-5). Determine z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23520152 (base 6) to base 10\nAnswer: 741380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 + 6*q**4\/7 + 32*q**3\/7 - 40*q**2\/7 - 192*q\/7 - 128\/7 = 0. What is q?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1365 - 664. Suppose 3*a + h = 4*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 128*c - 1183. What is x(11)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*q**3 - 1399*q + 1399*q + (-3*q + 3*q + 2*q)*(-q**2 + 2 - 2) as j*q + r + d*q**2 + v*q**3 and give v.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -154?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-291 - 0 - 1). Suppose -5*h = -c - 606. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -210 (c) -4\/9 (d) 0.14 (e) -1 (f) -3\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - 1) + (-246 - -236) + 114.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 + 48. Let m(x) = -74*x. What is m(r(p))?\nAnswer: 74*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67431 = 11*g + 14521. Suppose -8*j + g = -3*j. List the prime factors of j.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505384 divided by -252692.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1 - 22 + 5 + 14*g - 3*g + 13. Let i(m) = 7*m - 3. What is -8*i(t) + 5*r(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/5))**0\/(x**(-4))**(9\/10))**(2\/31) assuming x is positive.\nAnswer: x**(36\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/11 - 774*x**3\/11 + 772*x**2\/11 = 0.\nAnswer: 0, 1, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, h: 4, x: 1}. What is prob of picking 1 g and 1 h?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, f: 2, c: 1, a: 1, u: 1}. What is prob of picking 1 c and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917863 to the power of 1\/2, to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 38*k - 96.\nAnswer: -2*(k + 3)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001658 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2. Let g(h) = 316*h**2 + 6*h + 6. Let d(r) = 316*r**2 + 5*r + 5. Let t(f) = 6*d(f) - 5*g(f). Calculate p(t(c)).\nAnswer: 199712*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/721 (b) 76 (c) -1.21 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201230 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2622746 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 175, 186, 199, 214, 231?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 2*u + 5. Let a be h(-2). Let y be 19 + -16 - (0 - a). Suppose y*m = -8*m + 184. Round m to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 6*s**2 - s + 11. Let j be t(-5). Calculate the greatest common divisor of 287 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -35*h**2\/2 - 7*h + 13. Suppose t + 34 = 2*t. Calculate the remainder when x(-4) is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + k - 3. Let x(y) = -8*y**3 - y**2 + 4*y - 9. Let m(g) = -11*o(g) + 4*x(g). Determine m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 12703?\nAnswer: 12703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4 (c) -2 (d) 86 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyt when three letters picked without replacement from {a: 2, p: 1, d: 1, y: 1, q: 2, t: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 7 (c) 0.03 (d) -0.4 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pup when three letters picked without replacement from nnunppnnnnppunaa.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 514*g + 509*g - 55, 3*k + 9 = 3*g for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50003?\nAnswer: 31, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (165\/(-2))\/(-5)*8. Let r = 130565 + -130549. Calculate the greatest common factor of k and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.297419 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 8*o**3 + 2*o**3 + 1075*o**2 - 1075*o**2 wrt o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 201 = 206, -s - 39 = 3*r. Sort 12, 5, s, 0 in descending order.\nAnswer: 12, 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 minus -28?\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -790924 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-78))\/(11\/(-11495)*-22) and 97\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 1061654?\nAnswer: 1061654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*t**4 + 5*t**2 + 547?\nAnswer: -420*t**3 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*-3)\/(sqrt(175)*-6).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -439 divided by 6\nAnswer: -439\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230 and 627?\nAnswer: 144210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - v = 182 - 213, 5*l + 3*v + 60 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 11 - 6 - 5.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = 35*p - 19*p. Does 37 divide (22824\/p)\/(4\/(-6)) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -677\/264 + -2\/33. Let i be (1 - (-12)\/(-9)) + 142360\/(-7536). Let m = i - -9\/157. Calculate the common denominator of m and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -11. Let w be ((-2)\/(-2))\/(r\/(-20)). Suppose 0 = 3*h + w*o - 79 - 58, h = -o + 47. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31516 (base 7) to base 4.\nAnswer: 1321330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 600 - 397. Let j = d + -200. What is the biggest value in -3, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 2, q: 5, z: 8}. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 585.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17311\/514 not equal to -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -286311.482 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -112630000 to the nearest 1000000.\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 19 = 3*k, 19 = -k + 5*d + 47. Suppose -4*r + 37 = -k. Suppose -4*b + 66 = -r. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76549, -153140, -229731, -306322?\nAnswer: -382913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -237, -1, 47, -2 in ascending order.\nAnswer: -237, -2, -1, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1684 + 2075. Calculate the remainder when n is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166415708 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3002390558?\nAnswer: 2, 41, 36614519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**4\/4 - w**3\/3 - w**2\/2 - 2*w + 1. Suppose -5*f = 4*r, 18*r = 14*r - 2*f. Give d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c**2 + 3. Let x(a) = a**2 - 1. Let b be x(2). Is u(b) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 559*l**2 - 5*l - 742. Let g(j) = 2*j**2 + j + 5. Let a(n) = -5*g(n) - w(n). What is the derivative of a(h) wrt h?\nAnswer: -1138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 301.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 2830*c**2 + 381692*c + 5431. What is z(151)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-4\/5)*y**(-2\/17)*(y**(2\/15))**29)**(-2) assuming y is positive.\nAnswer: y**(-668\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 726690 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*h - 1335*h - 117433 = 1051*h + 70821 for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8396884 times 0.1\nAnswer: -839688.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -11. Let z(o) = -o**2 - 5*o + 5. What is the units digit of z(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -106 from 1010765.70084.\nAnswer: 1010871.70084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let d be ((-4)\/n)\/20*(-90)\/24. Which is the second biggest value? (a) d (b) -1\/4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/96)\/(3\/(-81))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/3, 30 in ascending order.\nAnswer: -0.4, 1\/3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s + 0*s**3 - s**2 + s**3 - 5*s + 2 - 4*s. Let p be -1*5 - (1 + -4). Let a = p - 0. Give o(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 13) to base 9\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -9. Let l = 4802180\/59 + -81393. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 101*u + 1244. Is 214 a factor of c(63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06164 times 2?\nAnswer: 0.12328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 437022.4 or -14?\nAnswer: 437022.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 30 = 8*x. Suppose -1796 = -x*a + 6*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 1865.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -4*c**2 - c - 513. Let g(m) = -17*m - 3. Give -6*g(t) + 13*u(t).\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 + 7*169\/455.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d**2 - 1\/3*d**3 + 6*d - 2. Does 3 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y\/((y*y*y*y\/(y**6*y))\/y*y))\/y)\/y)\/y**(-10))**(4\/5))**(3\/4) assuming y is positive.\nAnswer: y**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -29*t - 16 + 117*t - 87*t. Calculate n(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/10 + (-14)\/35. Let q be (m\/9)\/(1\/(-3)). Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4006 or -3967?\nAnswer: -3967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 3*c + 1. Suppose 3*d - 3*b = 0, 3*d + 14 - 4 = -2*b. Determine o(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4305 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -8)*(-96)\/10. Let i = w + -32. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**2 - 2*v**2)*(0 + 3 + 5)*(v + 2*v - v).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:26 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4350846 or -4350845?\nAnswer: -4350846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n - 155. Is n bigger than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26244 by -5.\nAnswer: 26244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*o + 5*n - 3, -4*o - 4*n = -60. What is the units digit of -7 + o - (-1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1309 and 357.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**4\/12 + 7*w**3\/3 - 9*w**2. Let f be y(6). Solve -14 = -s + f*h, 4*h + 35 = 5*s + h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-18)\/(-4))\/(-3). Let k(z) = z**3 - 3*z**2 - 5*z + 6. Let q be k(4). Let g be -1*(q - (8 + -2)). Sort x, 1, g in descending order.\nAnswer: g, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - v. Let u(m) = m - 4. Let n be u(3). Let k = 186 + -192. Let c(r) = 2*r**2 + 6*r - 2. Give k*q(h) + n*c(h).\nAnswer: 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 30*u**3 + 2*u + 1. Let t be h(-1). Let w = t + 44. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1832*k**2 + 1471.\nAnswer: -3664*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/30 - b**4\/12 - 345*b**2. What is p(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7278062.\nAnswer: 2, 11, 330821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101036\/18 - 187\/1683 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3233, -12931, -29087, -51695, -80749, -116243, -158171, -206527?\n\"Answer: a**3 - 3235*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18557.81cm to nanometers.\nAnswer: 185578100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*c = -6 - 31, -3*q - 2*c = -23. Suppose 3 = -2*v + q. Suppose v*n - 222 = -n. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*-4 + sqrt(35))\/(sqrt(5)*-4*3).\nAnswer: 43*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + x - 161, 0 = b - 5*x + 10*x + 27. Calculate the smallest common multiple of 6 and b*(-3)\/6 - (-16)\/(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8525268?\nAnswer: 2, 3, 236813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -5\/3*t**4 - 19\/6*t**3 - 1\/20*t**5 + 0 + t**2 - 42*t. Let i be o(-19). What is the second biggest value in -10, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((3 - 4) + 2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1977 in -17, -13\/5, 2\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = -4*y + 31186, 2*y = 4*p + 15606. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -91. Let a = c - 7. What is the common denominator of 0 + 3 + (-372)\/a and 44\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4866346.\nAnswer: 2, 199, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 33*j**2 + 420*j + 472. Determine v(43).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/(-6))\/(1\/3). Let w = -59 + 70. What is the greatest common factor of w and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l - 7. Let v be (15 - 14) + (-4)\/(-4). Let w(j) be the second derivative of -5\/6*j**3 + 3\/2*j**v + 19*j + 0. What is -9*w(g) - 4*x(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164494225*r**3 + 2145096*r**2 - 134*r wrt r?\nAnswer: -986965350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let s(a) = -6*a. Let u(g) = 97*g. Let t(q) = 2*s(q) + u(q). Calculate t(d(l)).\nAnswer: -170*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70b4 (base 14) in base 8?\nAnswer: 45646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -108315498?\nAnswer: -108315498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42079 + 67041 = 5*v + q, 4*v - 87297 = -q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403769011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3182, 0.06, -3\/4.\nAnswer: -3182, -3\/4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2 + 4. Let c = 8 - 8.5. What is the nearest to -0.1 in z, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:51 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2124745 (base 8) to base 13.\nAnswer: -16b586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5444 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let m(n) = 2*n - u*n + 4*n. Let j(i) = -7*i**2 - 6*i - 6. Let w(l) = l**2 + l + 1. Let f(o) = -j(o) - 6*w(o). Determine m(f(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 1. Let l(b) = -2*b**2 + b + 77. Let k be l(-6). Calculate u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0*c**3 + 0*c**2 - 1 + 0*c + 1\/14*c**4 - 2\/35*c**5. What is o in x(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/449? (a) -0.07 (b) -0.1 (c) -3\/4 (d) 1\/2 (e) -3.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/13 - -54\/91. Factor 0*j**2 - n + 2\/7*j**4 + 4\/7*j - 4\/7*j**3.\nAnswer: 2*(j - 1)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 183. Let d = l + -74.3. Which is the second smallest value? (a) 0.4 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 319*k**2\/2 - 52. Let i be b(-1). What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**2 - 55*b + 28 - 6 + 20*b + 20*b + 20*b.\nAnswer: 18*b**2 + 5*b + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 34*l + 5*l + 15*l + 15*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -56*b + 64*b. Suppose 8*c - 3155 = 3*c + d, 1893 = 3*c - b*d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/3 (c) -3\/2 (d) -1.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1 + 20*n**2 + 3*n + 0*n - 5*n - 28*n**2. What is z(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*j**4 + 40*j**3 - 35*j**2 + 5*j.\nAnswer: 5*j*(j + 1)*(4*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99609773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/249*6\/10. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/21)\/(l\/l**(5\/4))*l**(-16)\/l*l*l*l**(3\/7) assuming l is positive.\nAnswer: l**(-173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/29)\/(j\/(j\/j**(-4)))*(j\/(j*j*j**(-5\/7))*j)**(-9) assuming j is positive.\nAnswer: j**(-535\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*b - 180*b + 309*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(l**5 - 9*l**5 - l**5).\nAnswer: 18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -224, -334?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9010 by 17.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**7\/840 + 7*b**6\/360 - b**5\/20 + b**3\/2 + 3*b**2 + 4*b - 2. Let l(t) be the second derivative of i(t). Determine l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2718, 5477, 8238, 11001?\n\"Answer: x**2 + 2756*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 63*b**2 + 33*b**2 + 40 + 26 + 60*b**2 to the form n*b + m*b**2 + k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-10) + (-198)\/660. Put 5, n, 40, -4 in increasing order.\nAnswer: -4, n, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2760 - 1118 = 2*d, 2*d + 1630 = 2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5*b = -2*h, -2*b = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 5069, 17066, 40421, 78920, 136349, 216494?\nAnswer: 323141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 3:42 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 20\/10288143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0, -4, -3, -45 in ascending order.\nAnswer: -45, -4, -3, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - 65. Is 7 a factor of (-1 + 5)*(d\/(-20) - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 51.0000071. What is n rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 15*i + 14. What is a(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66808 - 29958. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -167*r - 93. Calculate t(-2).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/((-4)\/(-12) - 0). Find the second derivative of 3*r + 5*r - 21*r**w + 4*r - 9*r wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838296 is divided by 209564?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -61*v - 3. Let b be c(-2). Let m = 499\/4 - b. Find the common denominator of ((-2)\/(-60)*-5)\/(18\/(-438)) and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 1. Let g(v) = -3*v**2 - 1. Calculate -g(c) - 4*r(c).\nAnswer: -c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2.06, 29 in decreasing order.\nAnswer: 29, -2, -2.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7794582094289\/4443 - 1754351118. Let g = 1\/1481 - j. Find the common denominator of g and 22\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let o = q - -9. Sort o, -0.3, 5 in ascending order.\nAnswer: -0.3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14257 + -14265. Which is the closest to p? (a) -3 (b) -1\/13 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002269207326 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806876023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 9. Let s(z) = -z - 5. Let l be s(f). Let t = 113\/8 + l. What is the second biggest value in 2\/19, -4, t?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2\/3, 0.3, -5, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + j + 1. Let c be i(-2). Let l = 3309 + -3314. What is the nearest to -4\/5 in c, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - j = 10, -2*j - 3*j - 10 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -89, -172, -255, -338, -421?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dppdhdhddhff. Give prob of picking 1 d, 1 h, and 2 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 10*x - 7. Let l(s) = 2*s**2 - 4*s - 1. Let j be l(3). Let m be (j\/(-10))\/((-1)\/14). Is q(m) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951120, 1902216, 2853290, 3804342?\nAnswer: 4755372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5*m - 19. Determine n(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 22. What is d(-11)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.37 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x + 153 + 51 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - 2.7. Let f = -0.01475 - -0.41475. Which is the closest to m? (a) 0 (b) f (c) 1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/(-3)*(-35)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Let x = -0.3 + z. Put 2\/9, 2, x in decreasing order.\nAnswer: 2, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 9*s - 8. Let c be f(-10). Suppose -2*y = 4*b - 16, c*y - 2*b - 2 = b. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*(sqrt(88) + -1*sqrt(88)))\/(sqrt(48)\/(1*sqrt(6) + sqrt(6)) + sqrt(8) - (-4*sqrt(32) - sqrt(8))) + -4)*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 366*k**5 + k**3 + 132313*k**2.\nAnswer: 120*k**3 - 21960*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 11*a - 3961. Calculate the lowest common multiple of 119 and y(-79).\nAnswer: 9877","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.5 - 27. What is the biggest value in t, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i - 56*i = f + 11, -i - 13 = 5*f. Suppose 25*c - 15 = 22*c. Solve -j + 19 = -2*v + i, j = c*v + 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*j + 1 = -1, 0 = -3*o + 4*j + 10. Let f = o - -23. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9730, -9721, -9700, -9661, -9598, -9505, -9376, -9205?\n\"Answer: u**3 + 2*u - 9733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 505*d**2*k**2 - 993684279*d**2*k + 689297*d*k**3 wrt k?\nAnswer: 1010*d**2 + 4135782*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 2. Suppose 284 = -7*y + 270. Let x = 79\/3 - 27. What is the nearest to k in -5, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 less than -216?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 581756*j - 6980935. What is n(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 12. Let r be t(0). Let p be (-2)\/(-10) - r\/40. Let f = 73\/260 + -2\/65. Sort p, 10, f in decreasing order.\nAnswer: 10, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343 by -1.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = -4*l + 14, 0 = 3*l + 3*d. Suppose -l*n - 3*v + 23 = 0, -n - 3*v + 6*v = 11. Solve -3*x + n*x + 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 7*i - 7. Let y be o(-5). Suppose 0*v = v - y. Let 3*z**v + 6*z**2 - 31*z**2 + 13*z**2 = 0. Calculate z.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + o + 0 + (-1 + 2 + 0)*(-13*o + 5*o - 5*o))*(-4 + 1 + 1) - 47*o + 138*o - 46*o + (-5 + 3 + 3)*(2 - 2 - 2*o) to d + k*o and give k.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/12)\/((-5)\/740)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 4240.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 18*x + 211. Let r be i(-8). Solve -j - 5 = -4*q + 3*q, r*q + 1 = -5*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a**2 + 67 - 71 - 114 + 50 + 68.\nAnswer: 62*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w**2 - 28*w + 3. Let s(p) = 7*p**2 + 14*p - 1. Let k(d) = 5*s(d) + 2*z(d). Let c be -3 - (-2 - 11)\/1. Is k(c) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 11*k - 11. Let w be u(10). Is (2 + 1)\/(w\/(-173)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 47*i - 118. Let x(z) = 141*z - 353. Let h(q) = -11*p(q) + 4*x(q). What is the first derivative of h(k) wrt k?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g - 9. Let k(c) = -3*c**3 - c. Let z(h) = -7*h**3 - 3*h - 1. Let w(j) = 5*k(j) - 2*z(j). Is 13 a factor of w(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 4. Suppose -1 = -4*d + 7. Let t be (3 - 2 - d) + -8. Calculate the remainder when 13 is divided by s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 - 1.1. Suppose -28*r = -23*r + 4*c - 184, -3*c + 75 = 2*r. Sort -1\/7, -2\/9, r, x in descending order.\nAnswer: r, x, -1\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3819891 less than -3820024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Suppose -h*w - 15 = -5*v, -8 = 3*v + w - 0. Is 7\/(v + (-168)\/(-164)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8951594 or -8951592?\nAnswer: -8951592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.3 + -150.3. Let g = -122.02 - c. Let y = 0.979989 - g. What is y rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/27 - 2\/(-9). Suppose g + 26 = 3*g - 3*a, -2*a = -2*g + 22. Suppose -w = 4*h - g, -4*h + 18 = -3*w - 3*h. What is the closest to i in w, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -396.5 + 396. Which is the nearest to 2? (a) 2\/7 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2 - (-10)\/2). Let j = -72230 - -72227. Put j, l, 4, -2 in descending order.\nAnswer: 4, l, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*r + 25, -5*r - 5*f = -6*f - 55. Suppose 5*t - 3*w - 3 = -0, -2*t = -4*w + r. Solve 4*u + t*m = 8, m - 2 = -4*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8163 and 2.\nAnswer: -16326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0.8. Let m = -0.012 - 6.188. Let r = x - m. Which is the second biggest value? (a) 0 (b) -1\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 10 = h. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7353*d**2 - 893*d**2 - 219*d**2.\nAnswer: -8465*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.729 times -4\nAnswer: 14.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 938 + 1612 = 0. Let h(u) = -3*u - 42. Let z be h(-18). Calculate the common denominator of -81\/16 and (3\/(-30))\/(z\/t).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -6. Suppose -i*u = -2*u. Factor 2\/7*a**3 + u*a - 2\/7*a**4 + 0*a**2 + 0.\nAnswer: -2*a**3*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -825, -2758, -6525, -12738, -22009, -34950?\nAnswer: -52173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 87253 - -3*(-2)\/(-6). Let g = w + -130528. Let y = -220274 - g. What is y rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let f be t(-4). Let k be (-3)\/(-1 - f\/(-8)). Suppose -5*j + k*l + 34 + 267 = 0, 2*j + 2*l - 126 = 0. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 156 + 154 = 0. Let d = -0.1 - -0.1. Which is the closest to d? (a) -2\/17 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*v - 67*v. Let w be ((-16)\/24)\/(2\/(-3)). Put -4, w, v in descending order.\nAnswer: w, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 8*p - 1230 = -0*p for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1 - sqrt(77))\/sqrt(11) - (1 + sqrt(63)).\nAnswer: -5*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) -4\/13 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 9. Let a be g(6). Suppose 10 = 4*f - 6. Solve 6*b**a - 4\/3*b**2 + 0 - 6*b**f + 0*b = 0 for b.\nAnswer: 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1024, -5, 2 in descending order.\nAnswer: 1024, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10842154 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + w - 3. Let c be p(6). Let m = -35 - c. Is ((-130)\/5)\/(m\/5) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - s = 403, -5*g + 5*s + 515 = 0. What is the remainder when g is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000109988 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 631*w**2 - w. Let a(s) = -1300*s. What is q(a(g))?\nAnswer: 1066390000*g**2 + 1300*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 983933941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4205428 by 47252.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1260, 2509, 3764, 5025, 6292, 7565?\nAnswer: 8844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 47, 144, 333, 644, 1107?\n\"Answer: 5*q**3 + q**2 - 3*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (804\/(-72) - -11) + (-7)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, c: 3, p: 4, z: 3}. Give prob of sequence bpzc.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2845106 - -8876217. Let w = x + -11721335.999966. Let v = -13 - w. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 9, g: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 22. Let o(l) = 27*l**2 + l. What is o(x(k))?\nAnswer: 108*k**2 - 2374*k + 13046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/216*51\/(-187).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/((-9)\/(-198)*11)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10) - 9\/(-5). Let f = 32.8 - 28.9. Which is the nearest to -1? (a) -4 (b) f (c) l (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55741102 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -2534, -8707, -20828, -40883, -70858?\nAnswer: -112739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16167019847 and 27.\nAnswer: 27.16167019847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*((5 + sqrt(648) + 2 - (5 + sqrt(648) + -1)) + 3))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 3*o**4 - 2*o**4 + (2*o**4 + 0*o**4 - o**4)*(4 - 3 + 1) + o**3 + 2*o**4 - o**3 + (o - 2*o - o)*(-5*o**3 - 5*o**3 + 5*o**3).\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869\/4 smaller than 466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 11*t**4\/24 - 4*t**3\/3 + 5*t**2\/2 - 3. Let l(g) be the second derivative of a(g). List the prime factors of l(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592525 is divided by 73574?\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 6*u**2 - 8*u + 6. Let j be c(5). Let a = -3 - j. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 5*i - 5. Let g be ((-3)\/12*-178)\/(8\/2192). Let u(b) = -2 + 12192*b - g*b + 1. Calculate -6*f(x) + 30*u(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 12*h**2 + 681*h + 270. Give l(33).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21*g - 23. What is the least common multiple of d(-2) and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 179*o**2 - 9*o + 182*o**2 - 4*o**3 + 3 + o**3.\nAnswer: -3*o**3 + 3*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2.92. Which is bigger: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -340 < 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose 0 = -t - 2*d + 103, 30*d + 93 = t + 34*d. Suppose 104*i - t*i = 0. Sort -1, 7, i, o in decreasing order.\nAnswer: 7, o, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 + 485 = 14*r. Sort -9, 12, r in decreasing order.\nAnswer: 12, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1638980.1 seconds to minutes.\nAnswer: 27316.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 23\/509, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48564\/(-14058))\/(1\/11*-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*w - 1752, -w - t + 1758 = 2*w. Suppose -5*z + w = 5*h, -271 - 323 = -5*h + 4*z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpk when three letters picked without replacement from wupkwkvwpwkupukukwpk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174998851*d**3 + 43682*d**2 + 911.\nAnswer: 1049993106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.279 and 395.9551.\nAnswer: 392.6761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-536)\/(-201))\/(-3*3\/((-9)\/(-2)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**3 - 10*h**2 - 9*h - 8. Let l be a(-5). Let o = -20647\/13 - l. Let q = -1.9 + 2. Put q, -0.2, o, -4 in increasing order.\nAnswer: -4, o, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.016 + -0.184. Which is smaller: 4\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3997 is divided by 212.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Let w(f) = -2*f + 1. Let m(z) = -115*z - 1837. Let o be m(-16). Give o*w(s) + 4*y(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udumduumiudim. Give prob of sequence dmud.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 5*k + 4*k)*(5 + 2 + 13 + (2 - 1 - 2)*(2 - 4 + 1)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 11) to base 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.2596. What is k rounded to three decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 9*k**2 - 25*k + 74. Determine l(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 5. Let b(c) = -c + 1. Suppose -5*o + 3*f + 0*f - 29 = 0, -4*f + 12 = 0. Let l be b(o). Calculate a(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/54448 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 111111?\nAnswer: -111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9108, -18798, -28480, -38154, -47820, -57478?\nAnswer: -67128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/(2\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*y - 0*f + 2*f, 4 = f for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-3)\/(-9)*-6. Suppose -f = -t*k + 65 + 6, 0 = -k - f + 14. Solve 0 = -5*s - b + k + 12, s = 3*b - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 8*p + 3. Let f be o(-8). Suppose -3 = -0*w - f*w. Let h be w + 0 + -1 + 8. Solve -3*x = -1 - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1.393, 0.042?\nAnswer: 1.393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4998*i + 4882*i = -3248 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 - 149.07. Let h = 0.83 - p. Is 2\/79 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, -0.2 in ascending order.\nAnswer: -4, -0.2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 0.037\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -2)*(-1)\/(3 - 4). Does 13 divide (-39)\/((-12)\/(-20)*c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 889*g**2 - 2*g - 2. Let w(h) = -h**2 + 11*h + 11. Let x be w(12). Is d(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 16*y - 7*y. Let w(r) be the first derivative of -5\/2*r**2 - 7 + y*r. Let a(d) = -5*d**2. Give w(a(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 47\/17, -15, 2\/3, -0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27351 and 12156?\nAnswer: 109404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:24 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 321 = 1146 + 597. What is the highest common divisor of 2193 and l?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19136*w**3 + 19460*w**3 - 45166*w**3 + (1 - 1 - 1)*(w**3 + 3*w**3 - 3*w**3) to z*w**2 + v*w**3 + i + m*w and give v.\nAnswer: -6571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1883648 litres to millilitres.\nAnswer: 188.3648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 0.2 (c) -10.47 (d) -346 (e) 1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Let t be (-2)\/(-1) + m + 70. Suppose -6*f + t = -2*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 544751853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 130 = -2*y, 5*a - 7*a = -5*y - 6*a + 2*a - 325 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254947, 1019816, 2294601, 4079302, 6373919?\nAnswer: 9178452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Do 9\/3802 and 1\/10346 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1433 and -14.\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4098731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 72*f + 2729. Give p(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2. Let c be ((-32)\/22)\/(7\/(-77)). Let r(a) be the first derivative of 0*a**2 - c - 1\/3*a**3 + 0*a. Calculate n(r(k)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-61996)\/(-10) + (-2)\/(-20)*-6. Suppose k = -16*o + 30567. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + 1.2. Let q = -24757 - -24647.79. Let y = 109 + q. Which is the nearest to u? (a) -1 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2, -0.4, 4, -16385?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -93*d**2 + 33*d + 71. Let c be a(-2). Let w = -38 - c. What is the smallest common multiple of w and 11?\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -10, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (-64)\/4 + 11. Let z = -103 - -157. Let h be z\/4 + 2\/4. Calculate the greatest common divisor of s and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*v**4 + 22557*v**3 + 1351314*v**2 - 1999092*v + 625128 = 0. What is v?\nAnswer: -122, 14\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 34*k**2 - 32*k - 30. Let u be d(33). What is the third smallest value in u, 0.21, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 + 8*t**2 + 8*t**2 - 25*t**2 - 6*t**2. Let g(r) = r - 1. Let p(f) = 2*f**2 - 9*f + 9. Let m(w) = -18*g(w) - 2*p(w). Calculate m(l(u)).\nAnswer: -196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744809 is divided by 2887.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6809 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476379337 to the power of 1\/3, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15*r - 50 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19879 - 19515 = -28*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 13\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -2*p**3 - 7*p**2\/2 + 2879*p. Let k(n) = -13*n - 8. Calculate -6*b(d) + 5*k(d).\nAnswer: 7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/(4\/(-6)). Suppose -k*p = -30 - 54. Let o = p - 25. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 4*m + 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 309679883*n. Let f(m) = 2*m**2. Calculate z(f(w)).\nAnswer: 619359766*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - 20. Let o be (3\/4)\/(q\/(-240)). Let z be 74400001\/o - (-2)\/(-8). Round z to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 465\/2 + -225. Let i = -48020 - -48022. Factor 12 - 3\/2*v**4 - b*v**3 + 6*v - 9*v**i.\nAnswer: -3*(v - 1)*(v + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12354 + -342?\nAnswer: -13140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8081*m**3 - 11*m**2 + 11*m - 10. Let c be r(10). What is c rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 1, j: 1, q: 2}. Give prob of sequence qqj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/16905 and 71\/5916750.\nAnswer: 5916750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 101419545 a multiple of 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106094448?\nAnswer: 2, 3, 71, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 30811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*r + 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895439052582 less than -6?\nAnswer: -1895439052588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + -164. Let k = -203 - l. Is 5 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17366*p**2 - 187*p - 17. Let o(j) = 5789*j**2 - 66*j - 6. Give 17*o(n) - 6*q(n).\nAnswer: -5783*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**3\/3 - 6*t**2 + 14*t - 2. Calculate the remainder when 3 is divided by c(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022221102 - 10001?\nAnswer: -10100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 11:35 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1002001?\nAnswer: -1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2)\/(-2) + 7. Differentiate 0 + 3*g**4 + u - 2 wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5287*g - 5284*g + 10 = -2*k, 4*k = 3*g - 2. Put 141, 3, -4, -5, g in descending order.\nAnswer: 141, 3, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -11*y**3\/3 + 4*y - 4. What is the first derivative of i(h) wrt h?\nAnswer: -22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:26 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 40 = 4*b, -931 = -5*y + 3*b - 973 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 8. Let y be h(12). Suppose -y*k + 6 = -14*k. Let r be (18\/4)\/k - 391\/(-46). What is the highest common divisor of r and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, s: 2}. What is prob of picking 1 c and 1 s?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1175435 divided by -235087\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0\/4)\/(24\/104). Is h*1*(-21 - -6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293\/8198094 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmxmvgxxym. What is prob of picking 1 m and 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (18 + -10 + (-1 - -3))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 106d - 4ac?\nAnswer: 9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 12783?\nAnswer: 805329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 2*h + 2*h)*(3 - 3 + h) + h**3 - h**3 + 7*h**4.\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 = 4*p, -2*p = g + 2 + 3. Let t = 7 - g. Let a be 9\/12*2*t. What is the highest common factor of 6 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11678318 + 17495318. Round s to the nearest 100000.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.3. Let c = w + -0.6. Sort 0, 2, c in descending order.\nAnswer: 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 43.1. Suppose p = -3*p. Which is the nearest to k? (a) 1\/7 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**3 - t**2 + t - 1. Let y be d(1). Solve 0 = -c + 3*s + y, c - 5*c + 4*s + 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1204 divided by -5.\nAnswer: -1204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 101.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6623340 and 190842?\nAnswer: 112596780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6013.1787 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 243. Calculate the greatest common divisor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2668 = -5*o - 868. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 11) in base 9?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 - -11?\nAnswer: 100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 6*k**3)*(4*k + 3*k - 23*k - 32*k) to a*k + z*k**4 + i + o*k**3 + x*k**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2654*b**4 + 854 - 854 + 2 + b**4 - 2 + (0 + 0 - 2*b**3)*(6*b - 3*b - b) to f*b + m*b**2 + o*b**4 + a + j*b**3 and give o.\nAnswer: 2651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3 - 17. Let j = s - -21. List the prime factors of (j - -2)*(5 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21631*g - 5251. Is d(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 - s**2 + 7*s**2 + (s + 4*s - 2*s)*(s - 5*s + s) + 4*s**2 - 3*s**2 - 2*s**2 + (-55 - 7*s + 55)*(-2 + 2 - s) + 5*s**2 + 10 - 10.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131927649*a**5 + 120580*a**2 + 171*a wrt a.\nAnswer: 7915658940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 22, -28, -116, -254, -454, -728?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:03 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 9:12 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15000)\/(56223\/(-11250) + 5). Round x to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442209?\nAnswer: 3, 223, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/19)\/v)*v**(-10))\/(v**(-5\/6)*v**(-10)*v))**7 assuming v is positive.\nAnswer: v**(1547\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 11300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(0*s**3 + 16*s**3 - 5*s**3) - s - s**3 + 2*s + 0*s - 3*s**3 + 4*s**3 - 3*s**3.\nAnswer: 19*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 8) + 5 - -327. What is the highest common divisor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 2437*j**7\/42 + 2243*j**4\/6 + 3270*j. Find the third derivative of u(n) wrt n.\nAnswer: 146220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17100 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18536537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 52 = -367. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -10*n - 35. What is the remainder when 584 is divided by (-1 - 0)\/(n\/10) - -37?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -0.519.\nAnswer: 7.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.44 + 0.04. Let y be (-2)\/(-14) - 520\/(-280). What is the nearest to y in -4\/5, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96398063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 9. Let u be k(3). Let z(s) = s**2 + 8*s + 10. Let a be z(-7). Suppose g + a*t - 9 = u, -2*t - 1 = -t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (42 + (-15 + 38 - 35))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1442 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-90)\/(-50))\/(3\/2395). Calculate the highest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-120))\/(10\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 217520 divided by 356\nAnswer: 54380\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 46*p**2 - 10*p - 553. Determine a(-46).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -64974*-12\nAnswer: 779688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 44*k - 90. Let n be w(46). Let f(z) = -6*z**3. Let q be f(-1). Which is the third smallest value? (a) n (b) q (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1477860 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 30094 - 1736. What are the prime factors of m?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 537.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2\/1539 (c) 1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/7 - 149067*v**2\/7 - 298146*v\/7.\nAnswer: 3*v*(v - 49691)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h**2 + 133*h - 133*h)*(-3 + 3 - 3)*(-2*h + 2*h - 2*h).\nAnswer: 156*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:47 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7993*s**3 + 2 - 2*s**4 + 4081*s**3 - s**2 + 4383*s**3 in the form n*s + h*s**4 + q*s**3 + u + g*s**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10761\/26 + -414. Let c = d - 535\/39. Find the common denominator of 4\/83 and c.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -2)*1\/(-2). Suppose -3*o - 5*q + 5 = 0, -3*o = 2*q + q - 3. Let s be (1 - o)\/(4\/16). Solve -s*j + 3 - 4 = a*m, 5*j = 5*m - 45 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 + 11*k**2 + 9*k + 15. Let i(w) = -7*w**3 + 10*w**2 + 9*w + 15. Let u(o) = 3*i(o) - 2*m(o). Is u(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079 take away 20.29?\nAnswer: -20.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2. Let q be u(-5). Let b = -60 + -140. Is b\/q - 3\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 - 2 = 0. Solve -4*u - o = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 0*i + 0*i - 2 + 6. Let j be s(-7). What are the prime factors of 1*-1 + j + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cc2560 (base 13) in base 10?\nAnswer: -9630374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 17*h**2 + 16*h + 2. Let o be b(-16). Solve k - o*f + 0 + 1 = 0, 5*f - 25 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - 657992\/(-67488). Let c = p + 1\/4218. What is the common denominator of (-44)\/(-80)*(-1 + 15) and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10956*y - 1074336 + 384108 for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 16*x**2 + 12*x - 57 + 2*x**2 + 27 + 2*x**4 + 0*x**4 to o*x + g*x**3 + m*x**2 + a*x**4 + s and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 0*j**2 - 4*j**3 + 6*j**3 + 0*j**2 + 416.\nAnswer: -2*j**3 + 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 10) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44858*m**3 - 164816 wrt m.\nAnswer: -134574*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2176 and 319702?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahlhhhhhahhlh. What is prob of sequence hhaa?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9960966.94985 + 9960534. Let x = u - -433. Let a = -0.05 + x. What is a rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 15) + 7 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3962*o + 3058*o - 2042*o + 2991*o + 2.\nAnswer: 7969*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42099, -39527, -35253, -29289, -21647, -12339, -1377?\nAnswer: 11227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 21 - 6*x + 12 - 29 + 5*x.\nAnswer: -x - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 5, f: 11}. What is prob of picking 3 f and 1 r?\nAnswer: 165\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117)*-2 + sqrt(117))*-1 + -1 + sqrt(117) + 4 + sqrt(117) + (sqrt(117) - (5 + sqrt(117) + sqrt(117) + 0)) + -5 + -2)**2.\nAnswer: -378*sqrt(13) + 5814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -7.7 and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17.8016 and -63355885?\nAnswer: 63355902.8016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.8 - 37.8. Is 0 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 4:35 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:12 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/8 - 23709*r\/8 - 11855\/4 = 0. Calculate r.\nAnswer: -1, 23710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z + 51. Let q be w(-7). Is 11323\/39 + q\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 - 2. Let m(i) be the second derivative of 13*i**4\/12 + 2*i**2 + 2*i - 6. Let h = 6 + -12. Give h*m(q) - 11*f(q).\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -726, -1094, -1462, -1830?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395 + -96. Suppose -9609 = -302*p + t*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20222 - 302211110?\nAnswer: -302130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:31 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**5 + 2*o**4 + 3*o**3 + 3*o - 32?\nAnswer: -100*o**3 + 24*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 81420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(102))\/(sqrt(54)\/(sqrt(18)\/sqrt(2)) + sqrt(6))*5 + 5)**2.\nAnswer: 75*sqrt(17) + 3925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1657487*i**3 + 1403584*i wrt i.\nAnswer: -9944922*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 + u + 2. Let b(t) = -9*t**2 + t + 3. Give -2*b(a) + 3*l(a).\nAnswer: -9*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -3*z + 127, 3*p - 4*z = 12870. What are the prime factors of p?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(396)*-2)\/sqrt(12)*-2)\/(-2*sqrt(704)*5).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11b1 (base 12) to base 5\nAnswer: -31010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 4 = 10*t. Which is greater: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1691 = y + 2*y + 2*x, 3*x = 3. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lannnyndnnnnnnn. Give prob of picking 1 y and 2 n.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1. Let o(i) = 2*i - 3. Let p = 16 - 25. Let t = 7 + p. Calculate t*l(k) + o(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 100*s + 908. Let c be x(-38). Sort c, 4, -7, 62 in decreasing order.\nAnswer: 62, 4, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**6*g)\/(g\/(g\/(g**2\/g))))**(-4)\/((((g*g\/(g\/(((g*g**1\/g)\/g)\/g)*g))\/g)\/g*g)**(-32\/5)\/(g\/(g*(g\/(g**0\/g)*g)\/g))**(-47)) assuming g is positive.\nAnswer: g**(266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/30 - h**4\/8 - 5*h**3\/6 - 9*h**2 - 5. Let c(q) = -2*q**2 - 3*q - 4. Give -6*c(k) + 5*r(k).\nAnswer: 2*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17917 divided by -279?\nAnswer: -17917\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/2)\/9)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 6*n**3\/17 + 12*n**2\/17 + 8*n\/17 - 10. Factor c(p).\nAnswer: 2*(3*p + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7775650 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-126)*-6)\/((-5)\/35*(-91)\/1248).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 2*b + 5. Let l be u(3). Let h be (-1)\/l + (-6)\/(-4). Let i = -3 + 8. Solve -w = 2*m + h, 0*w - i*m = 2*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 30. Is 15 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(931) + sqrt(931) + 2 + 0 + 1*sqrt(931))*-3)**2 + -3.\nAnswer: 1890*sqrt(19) + 75633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**(1\/5))**(1\/35) assuming s is positive.\nAnswer: s**(-1\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.7 or -3.1?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*n - 2*j, -3*n = -4*n - 5*j + 28. Let h = -16 + n. Let m(v) = -v**2 + 9*v - 6. Calculate the least common multiple of m(h) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 0, 4, -4, 1029?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/6 + 13*r**2\/2 + 3*r. Let x be o(-10). Suppose -x*f + 4 = -2*f. Calculate the lowest common multiple of f and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*l = 8, 4*x - l - 12 = -0*l. What is the first derivative of 101 - 3*p**x - 57*p - 4 + 69*p wrt p?\nAnswer: -12*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897829478.\nAnswer: 2, 3, 19, 5549209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3564, 14242, 32060, 57018, 89116, 128354, 174732?\n\"Answer: 3570*o**2 - 32*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.152911ug?\nAnswer: 7152.911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 2*w**3 + 4*w**3 - w + 0*w**2 + 0*w**2 - w**3 - 1 - 2*w**3 + 1 + (-5*w**2 - 2*w**2 + 5*w**2)*(-2*w + 12 - 12).\nAnswer: 6*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1654 - -1654.2. Sort -4, -0.2, 0, r in decreasing order.\nAnswer: r, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/(53200\/(-160))*(-40)\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540847 is divided by 269287?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -25. Suppose -d*u + u = -4. Let r(a) = -3*a. Give r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5109335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 + 29 - (-14)\/6 - 1167175\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4255*h + 5*t + 22 = 4258*h, -5*h - 2*t = -16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5072, -14009, -22948, -31889, -40832?\nAnswer: -49777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30144, 30145, 30146, 30147?\n\"Answer: z + 30143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -43*q - 400. Give m(-5).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6756*d + 6758*d - f = 1, 3*f + 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/(-48) - (-2490)\/12. Solve -44*j + 9*j = f for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1032.6351 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -48*l - 31. Let y be w(-10). Let t be (-16)\/(-24) - y\/3. Let d = 285 + t. Calculate the greatest common divisor of 34 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -617*c - 26. Let y be q(-9). Let w = 44115\/8 - y. Calculate the common denominator of 2\/((-24)\/83) + -1 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 3. Let t be c(-3). Suppose 0 = t*y - 7*y. Suppose -3*k + 5*f + 28 = 0, -k - 5*f = -6*k + 60. Solve y*w = -4*w + k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 2845367*q\/2 + 8096113364689\/4.\nAnswer: (q - 2845367)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*l - 66, -3*b = 2*l + 3692 - 3708 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(7 - (-24)\/40*-11). Let c(v) = -v**3 - 11*v**2 - 14*v - 23. Determine c(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6) - -1) + (-926)\/96. Let k = n + 2365\/144. Find the common denominator of -137\/18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-102) + 3\/((-102)\/(-493514)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1045 and 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 5*g**2 - g + 11*g**2.\nAnswer: 6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 26*q - 2*x = -24, -2*q + 4 = -3*x. Solve 0 = -5*w + q*o - 10, 3*w + 7*o = 6*o + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3222022 + -23?\nAnswer: -3222045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10144 (base 5) in base 11?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 5818038046.73.\nAnswer: -5818038029.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3789 - 2532. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = -3. Let g = l + 55. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f**(-4\/17)*f)))\/(f\/(f\/(f\/(f\/f**(-1\/5)*f)))))\/((f\/(f\/((f*f**(-3\/4))\/f)))\/f*f**13) assuming f is positive.\nAnswer: f**(-2817\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/19)\/g*g*g\/(g**(2\/57)\/g)*g)\/(g**(2\/151)\/g**(-1\/25)) assuming g is positive.\nAnswer: g**(1079518\/215175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.64, -3, -5 in descending order.\nAnswer: 0.64, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09 and -219659.\nAnswer: -219658.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-1)*-127 - (-3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1364623676 and 2?\nAnswer: 1364623678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 + 0 - (10 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34451*a + 3*d = -34454*a + 12, -4*a - d = -4*d - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 8*d**4 + 33*d**2\/2 - 22. What is the second derivative of z(q) wrt q?\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1047 * -1\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2708 divided by 5\nAnswer: 2708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-174)\/21 - -8 - (-102)\/14. Let o = -2 - -5. Suppose j*n = o*n - 8. Is -1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 276*m**2 + 8358*m - 8084.\nAnswer: 2*(m - 94)*(m - 43)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 306*g**2. Let o be 5*((-195)\/(-60) + 6\/8). Let d(w) = w + 3*w - w - 21*w + o*w. Calculate d(s(y)).\nAnswer: 612*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-8))\/5*-2. Let t(m) = 36*m + 2. Suppose -l + 2 + 5 = 0. Let i(h) = -18*h - 1. Let s(q) = l*i(q) + 4*t(q). What is s(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 6. Determine z(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 472*l - 69 + 457*l - 153*l + 69 to k*l + q and give k.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-12)\/(-14)*(-156)\/468\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*q = 3*q - 12, 2*q = y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 668 divided by 4\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/637 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -109*p**6\/40 - 41*p**5\/60 + p**3\/3 - 66*p**2 + 2. What is the third derivative of c(i) wrt i?\nAnswer: -1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:12 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Suppose 0 = -3*g - j, g = -2*u - 2*g - 7. Put 4, u, -1 in descending order.\nAnswer: 4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**2 + 96*l + 684. Let m(n) = -5*n**2. Determine h(m(j)).\nAnswer: 10*j**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 10 = 3*y - 0*i, -4*y - 5*i + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41 + -0.01. Let j be 4\/((-416)\/29) - 8\/(-52). Let w = 11\/4 - 5\/2. Which is the closest to w? (a) j (b) -5\/6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.3. Let t be ((-1683)\/238 - 3\/(-42))*1. What is the third smallest value in 2\/5, m, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3142, -174, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 482 = 3*x, -x = -5*c + 240 + 226. Suppose -2*i - 6*p + p + 24 = 0, i + 3*p - 13 = 0. What is the remainder when 3\/12 - c\/(-8) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqggqqqqgqggqqqq.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyde when four letters picked without replacement from dydedyddddyhdydeey?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 34*v + 5. Let t be p(-17). Solve -5*x = r + 23, r = t*x + 4*r + 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/(-140)*(11\/((-33)\/30) + 5). Factor 2\/11*y + 2\/11*y**i - 12\/11.\nAnswer: 2*(y - 2)*(y + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1667681, -1667679, -1667677, -1667675, -1667673?\nAnswer: -1667671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-363*g - 88*g - 395*g)*(0*g + 0 + g - 3) to the form j*g + r*g**2 + m and give j.\nAnswer: 2538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47369 - 1086055 = 12956*h + 3797*h for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q = 46*q - 84. Let l = q - -21. Factor l - 4\/5*r - 4\/5*r**2 - 1\/5*r**3.\nAnswer: -r*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -5*q - 123 + 23, -2*q = -67*c + 1003 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2. Let r(p) be the second derivative of 71*p + 0*p**2 + 0 - 1\/12*p**4 + 0*p**3. Calculate r(h(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 14*d = -32. Solve d*m - 8 = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 32 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/2)\/(-6))\/(228\/(-456))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4)*4 - sqrt(4))\/(3*sqrt(162)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 + -387. Let g(d) = -d**2 + 29*d - 105. Calculate the remainder when g(o) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*o**2 - 1045*a**3*o - 212*a*o**2 - a*o + 2 wrt a?\nAnswer: -12*a*o**2 - 6270*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45091 - 45094. Put 0, -1\/3, 22\/9, h, 1 in descending order.\nAnswer: 22\/9, 1, 0, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211121000102 + 20?\nAnswer: 1211121000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 2*b + b**2 - 2*b**2 - 2 - b. Let u be r(-3). Suppose -u*d + 2 = -10. What is the remainder when 10 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**4 + j - 1. Let d(p) = -123 - 88 + 4*p - 33 + 98*p**4 - 114. Let c(v) = d(v) - 4*w(v). What is the derivative of c(g) wrt g?\nAnswer: 408*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67029239, 67029237, 67029235?\n\"Answer: -2*l + 67029241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 w when four letters picked without replacement from {w: 8, e: 8, q: 4}.\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2785147874?\nAnswer: 2, 193, 607, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111982 is divided by 55599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (125\/10 + -5)*4\/3. Suppose 17*n = 22*n - d. Suppose 5*r + 10 + 0 = 0, 2*k - n*r = 10. Solve k - 8 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 388796 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 4\/5, -3, -0.02, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 774607, 774604, 774599, 774592, 774583, 774572?\n\"Answer: -g**2 + 774608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 + (-1 - -6)\/(-5). Let x = r + 90. What is the remainder when x is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g**2 - 15*g. Let x(y) = -y**2. Let t(p) = -j(p) + 6*x(p). Factor t(m).\nAnswer: 3*m*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10286.32689 microseconds to weeks.\nAnswer: 0.000000017007815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -15. Put c, -4, -0.5 in increasing order.\nAnswer: -4, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:50 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20*25\/(-75)*22)\/(1\/(-5))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -122*t**2 - 13. Let j(b) = -9*b**2 + 1. Determine -a(p) + 2*j(p).\nAnswer: 104*p**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6486.7091 - 6487. Let u = g - 0.0091. Put u, 0.18, -3, -1\/2 in descending order.\nAnswer: 0.18, u, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*d**3 + 39*d**2 + 124*d**2 - 163*d**2 + 42 - 42.\nAnswer: 185*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24787 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 4353010937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68 + 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*a - 12, 22*g = 20*g - 2*a - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kddd when four letters picked without replacement from gfddpkdfkwkk.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(v - 2 + 2) - 4*v + 3*v + 0*v + (2 - 4 + 3)*(-v + 0*v + 2*v) + (2 + 1 - 5)*(-2*v + 0*v - 6*v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - k + 1. Let o(i) = 16*i**3 + 20*i**2 + 20*i - 20. Give -20*f(l) - o(l).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 2*u**4 + 4*u**4 + (-3*u + 3*u + 5*u)*(-4*u**3 + u**3 + u**3) + (u**4 + 2*u**3 - 2*u**3)*(-3 + 5 - 3).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-4 + -9 + 11 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3640 and 50440.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*c + 10, 3*c + 8 = -2*c + 2*r. Let t be 9\/1*(0 - c). Let a = -364 + 526. What is the highest common divisor of a and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 127?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972580.\nAnswer: 2, 5, 19, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/((-7)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -125 + 8. Suppose 4*m - 27759994 = 3*a, -34699994 = -5*m + 16*a - f*a. What is m rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121211212210120 - 20?\nAnswer: 121211212210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 102201, 204603, 307015, 409437, 511869?\n\"Answer: 5*j**2 + 102387*j - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 37*j - 54*j = 552 + 1428 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21403\/4 + -5351. Put y, 23\/6, 0 in ascending order.\nAnswer: y, 0, 23\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let z(i) be the first derivative of i**3 + 33*i**2\/2 - 102. Give z(d(y)).\nAnswer: 12*y**2 - 66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 6*(sqrt(12)\/sqrt(4) + sqrt(3))*-1*-3 + 2.\nAnswer: 2 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, 8, 0, 1 in ascending order.\nAnswer: -158, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17*l + 5. Let u(y) = 47*y + 334. Let q be u(-7). Let v(g) = 9*g - 3. What is q*v(b) + 3*x(b)?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t - 33. What is the tens digit of o(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 29*l**3 + 8*l**3 + 21 - 22 - 2*l - 5*l**3. Determine k(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 505 - 1 - 0. Suppose 0 = -5*w + 4*w - y. Let x = w + 1271. What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 102.7. Let m = 1.67 + u. Let p = 0.05 - 4.05. What is the second smallest value in m, 5, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 222. Let n = h - -172. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dssn when four letters picked without replacement from dndssdsss.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -13.5. Let m = 0.9639 - 0.8239. What is the nearest to 1\/10 in 4\/3, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 17*s. Let j(o) = o**3 + 3*o**2 + 17*o. Determine -2*j(u) + 3*n(u).\nAnswer: -2*u**3 + 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + -1 - -6 - (137 + -144).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t + 91*t + 110 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233364.5 months to decades.\nAnswer: 10278.0375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/(-5)*(-24)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -404 * 3.4.\nAnswer: -1373.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:51 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 28*c + 88. Suppose 2*z - 3 = -3*w, -15 = 3*z + 2*w - 4*w. Let k be a(z). Solve g - 6*g + 9 = -u, -k*u - 12 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:31 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 7*b**3\/3 + b**2\/2 + 8*b - 2. Suppose x + 32 - 38 = 0. Let f(y) = 15*y**2 + 2*y + 17. Give x*f(c) - 13*o(c).\nAnswer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -101*m - 250. What are the prime factors of n(-25)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 22. Let p be d(20). Suppose 4*i = 4*o + 120 + 100, p*i - o = 110. Find the third derivative of -28*b**2 + 25*b**3 + i*b**2 + 4*b**3 wrt b.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5 + (-184)\/(-4) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26.674, 0.04, 2\/9, 1\/5 in decreasing order.\nAnswer: 26.674, 2\/9, 1\/5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c**(3\/5)*c*c))*c))**(1\/5) assuming c is positive.\nAnswer: c**(-13\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 25 - ((2 - 7) + 4 + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187386, -187523, -187660, -187797, -187934?\nAnswer: -188071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*y + 570*y + 698*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-195) + (-1)\/(-3). Which is the third smallest value? (a) -2\/5 (b) x (c) 1\/4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 202387380 or 202387379?\nAnswer: 202387380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 4, u: 1, n: 1, v: 5}. What is prob of picking 1 z and 1 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i. Let m(v) = -v. Let g(f) = -b(f) + 12*m(f). Let h(q) = -12*q**2. What is h(g(x))?\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgg when three letters picked without replacement from gzjogwzxgxxxxxg.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 19. Let q(l) = 2614*l - 2401. Let v(r) = q(r) + 6*w(r). Differentiate v(b) with respect to b.\nAnswer: 2608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2 + k**2 + 1 - 3*k**2. Let f(z) = -3*z - 6 - 5 + 11 - 2*z. Determine n(f(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 283088.98 and 57633.2.\nAnswer: 340722.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*s = -3*j + 3, 2*j + s = 0. Let o(y) = -y**3 + 7*y**2 - 14*y + 5. Let r be o(4). Put j, 5, r in decreasing order.\nAnswer: 5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45056 is divided by 344?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 - -4.85. Let z = 5.3 - v. Put -2, z, 0.2 in increasing order.\nAnswer: -2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.7*-0.2.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2839766678 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 1. Let j(v) = -5*v**2 + 2*v - 6. Let r = 31 + -36. Let f be (-5 - 22\/r)*-20. Let n be 27\/15 - (2 - f\/10). Calculate n*j(q) + 3*d(q).\nAnswer: -2*q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31049000 rounded to the nearest 100000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 12. Let y be n(-6). Suppose 4*q + 2*q = y. Is (7 + -3)*q\/(-2) + 51 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 - d + 3. Let t be r(6). Suppose 4*m + 8 = -5*q, -2*m + 2*q - 6 = 5*q. Suppose 9 + t = m*n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 134*l - 155. Calculate the remainder when o(2) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**3 + 10*n - 6*n + 4*n**2 + 6*n + 4 + 1. Let c(z) = 4*z**3 + 4*z**2 + 10*z + 5. Let s(h) = -6*a(h) + 7*c(h). Is s(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22312101102 (base 4) to base 16.\nAnswer: 2b6452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001036147 rounded to seven decimal places?\nAnswer: 0.0001036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247901429 and 1564.\nAnswer: 991605716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8) + 4 + 3 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-40) + -1 + 115\/25 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8869795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbbbucdxudnuubdu. What is prob of picking 1 c, 1 x, and 1 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 times -250?\nAnswer: -86000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z**2 + 11*z - 14 + 19 + 23 + z**3. Let f be i(13). Suppose -f*d + 193 = -5*l - 52, 4*l = -2*d + 236. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(1\/14)*v)\/(v\/(v\/(v*v**8))))\/(v**(1\/2))**47 assuming v is positive.\nAnswer: v**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4\/13, 2, -42.5, -3 in decreasing order.\nAnswer: 5, 2, 4\/13, -3, -42.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 - 2*p + 1852. Let z(g) = 5*g**2. Give s(z(d)).\nAnswer: 125*d**4 - 10*d**2 + 1852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 times 4?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 975273054 less than 975273052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*d + 976, 0 = -4*d + 6*z - 3*z + 997. List the prime factors of d.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1604, 3205, 4806, 6407, 8008, 9609?\nAnswer: 11210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -3)*-4.\nAnswer: -28*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242925?\nAnswer: 3, 5, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1410 + 1414. Solve -1 = 3*l + z*u + 8, -4*u + 15 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*z**2\/2 - 185*z\/2 + 6 = 0. Calculate z.\nAnswer: -3, 4\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 15. Which is bigger: 13\/6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-6)\/(-6)*4))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0*i**6 + 5*i**2 + 13\/30*i**5 + 21 + 0*i**3 + 0*i - 1\/15*i**7 - 1\/6*i**4. Find the third derivative of b(s) wrt s.\nAnswer: -336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -22. Let q be (4 + -7)*(z - 0). Which is the third biggest value? (a) -1\/2 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*x - 168, -3*c - 2*x = -2*c - 46. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c. Suppose 29 = 4*n - 323. Suppose 4*x + 4*x = n. Let b(w) = -11*w + x*w + w**2. Determine u(b(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -19*k**3\/3 - k**2\/2 - 464*k + 372. What is the derivative of y(v) wrt v?\nAnswer: -38*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = j + 2*j. Suppose 17 = -2*p - 5*l, -7*l - 25 = -2*l. Solve -p = 6*m - j*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 732*g + 385*g + 412*g to the form x + a*g and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4412862228?\nAnswer: 2, 3, 1319, 278801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -549.48 + 517. Let a = 35.39 + -2.39. Let m = l + a. Round m to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*n + 26 - 6, 0 = 4*z - 2*n - 16. Let l be (-84)\/966 - 25\/(-23). Sort z, l, 3 in decreasing order.\nAnswer: z, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 16929*f\/5 + 388838\/5.\nAnswer: (f + 23)*(f + 16906)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 590*i**4 + 4*i**2 - 3*i - 9024.\nAnswer: 7080*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-12) + (-34)\/6. Let v = 32 + -41. Let h = n - v. Solve -5*c = -c + h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 123, 189, 261, 339?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 4*n + 6*n + (2*n + 4*n - 4*n)*(4 - 4 - 2) - 2*n + 2*n - 2*n + (-5 + 4 - 1)*(n - 1 + 1) as f*n + u and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 227*m**2 - 1 - 96*m**2 + 38876*m**3 - 129*m**2.\nAnswer: 38876*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 0*d + d - 28, 9 = -4*d + 26 + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -323*g**3 - 4*g**2 - 12*g - 6. Let t(a) = -969*a**3 - 11*a**2 - 34*a - 17. Calculate -17*f(p) + 6*t(p).\nAnswer: -323*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*a**2 - a**4 + 63*a**2 + 4 + 11*a**3 - 16*a**2 - 4 to k*a**3 + s + w*a**2 + q*a**4 + y*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 1 k when three letters picked without replacement from {b: 1, k: 1, x: 1, i: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u - u)*(-288 + 288 - 606*u - 1455*u).\nAnswer: 8244*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 34. Let t be 25\/222 + 4\/12. Let l = t + 2\/37. Which is the third biggest value? (a) j (b) l (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:08 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - d + 8. Let h = 22 + -12. What is the remainder when q(6) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwowwwww. What is prob of sequence ww?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 3*c**2 + 4*c. What is d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*q + 20663 - 20663 + 20*q**2 + 805*q.\nAnswer: 20*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12881.698 rounded to the nearest 10?\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**2 + 56*q - 45. Let l be u(7). Let o(k) be the second derivative of 0*k**2 + 0 + 10*k + 0*k**3 + 1\/48*k**l + 1\/80*k**5. Factor o(d).\nAnswer: d**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdx when three letters picked without replacement from {d: 4, x: 1, z: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 10*p + 1. Calculate s(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 23*l = 30*l - 110 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452, 904, 1356, 1808?\nAnswer: 2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10507\/(-6004))\/(7\/(-192))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**8\/336 + 11*h**5\/120 - 7*h**3\/3 - 6. Let q(c) be the third derivative of x(c). Find the second derivative of q(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004785337812 to seven dps.\nAnswer: 0.0047853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-3))\/m*m*m\/(m\/(m*m**(-2\/5)\/m*m)))**(-6\/25))**(-1\/18) assuming m is positive.\nAnswer: m**(23\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 5*w - 6. Let s(i) = -2*i**2 + 6*i + 7. Let o(d) = 5*l(d) + 4*s(d). Let a(z) = -z**2 - z. Calculate -a(q) + o(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -21. Let f(s) = -2*s**2 + 23*s + 16. Calculate the remainder when f(j) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403601*f**3 - 4*f - 6514 wrt f.\nAnswer: -2421606*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -c + 6, -8*a + 5*c + 50 = -3*a. Suppose -4*w = a - 52. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/8, 0.1, -0.5.\nAnswer: -0.5, 0, 0.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377870, 377872, 377874, 377876?\nAnswer: 377878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 60. Let j be -4 - 23\/(-4) - l\/(-4). Solve -j*i + 25 = -7*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 3. Let j be w(3). Suppose -3*b + j*b = -33. Suppose x = 16 - b. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(363) + 1)*4 - (-3 + (-2 + sqrt(432) + -1 - sqrt(432) - (sqrt(432) + 0 + 0))))**2.\nAnswer: 18768*sqrt(3) + 229684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(3\/2) + -3. Let l be (s + 2)*7\/(-7). Solve 0 = -m - l + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6 - -4.6. Put 0.1, h, -1 in ascending order.\nAnswer: -1, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let i be (2\/(-18) + (-8)\/36)*-15. Suppose -3*v + i = -4*p + 22, 5*v = p - 17. Calculate the highest common factor of p and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2221527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -30. Find the third derivative of -25*r**z - 3*r**5 + 161*r - 161*r + 11*r**3 wrt r.\nAnswer: -180*r**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/23 in -0.1, 3, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44739 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (22 - (-12 - -17))) + 0 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 702009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2104 (base 6) to base 7.\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97822 is divided by 148.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/2, 4\/5, 2, -54\/7?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -48\/11*a - 18\/11*a**2 - 32\/11 - 2\/11*a**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 24 - 31 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141*q**3 + 16 + 18*q**3 - 4 + 34*q**3 - 187*q**3 wrt q.\nAnswer: -828*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1\/3, 0.04, 2, 4 in descending order.\nAnswer: 4, 2, 0.04, -1\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + z - 6. Determine f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -9 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b + 6. Let z(s) = b*s + s**2 - 28 + 28. Calculate z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -841*g - 23550 - 542 - 7866 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = -13*d + 12 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 3216781.\nAnswer: 6\/3216781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025077293.\nAnswer: 3, 53, 227, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*c = -228*c - 27 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - -4) - (70 + -68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, 144, 587, 1198, 1971, 2900, 3979?\n\"Answer: -a**3 + 93*a**2 - 3*a - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1113577108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/4 + 7*r**3\/4 - r**2\/2 - 3*r + 2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-1800)*-9)\/(15\/40)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 14*t + 19. Let s = 46 + -31. Let k be i(s). Let x be (-3 + k)*(3 + -1). What is the second smallest value in -1\/2, 6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3 and 2 - (3 - (-86)\/(-14))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -434\/3 - -4795\/33. Let w = -127\/165 + s. Which is the smallest value? (a) 2\/25 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/384 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36040 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 10*x**2 + 3. Let u be l(-5). Let q be (-1)\/(6\/(-4) + 2). Let o be (-1)\/q*(3 + -3). Solve o = -3*v + 15 - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103076 by 21.\nAnswer: 103076\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**17\/v**1 assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.295357237 from -1434.\nAnswer: -1436.295357237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -ac?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + g = -41, -6 = -0*g - 2*g. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + -95. Let h = 18 + c. Suppose h*d = 2*v - 3*d - 421, -5*d = 3*v - 594. List the prime factors of v.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 smaller than 165\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.36 - -0.36. Let d = j - -2.97. Let c = d - -0.03. Sort 4, 2, c.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/240 and -113\/72?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (3 + -1)) + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 2*h. Let c = 49 - 25. Suppose -3*l + c = 3*y, y = 2*l + 4 - 5. Which is bigger: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 62874733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514981 is divided by 138.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 51*k**2 + 230*k + 1. Calculate the remainder when 385 is divided by x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(3 + 0 - 5)*(-2*n + 3 - 3)*(89 - 7 + 43).\nAnswer: 1000*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 17*o**2 - 36*o + 132. What are the prime factors of p(16)?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327 + -311 + (27 + -10 - 10) + -110.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1*(-22)\/(-2))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -10.3\nAnswer: -0.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 378 or -2899?\nAnswer: -2899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(-i - 3 + 3) - 2*i + 2*i + 2*i + 9*i + 17*i - 2*i)*(-39*i + 21*i**4 + 39*i).\nAnswer: 588*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 94 = -5*u - 2*f, -5*f = 2*u - 80. Calculate the remainder when u is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 37 + 510 = -303 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 20, -46 = -2*r + 2*z + 2*z. Calculate the remainder when 62 is divided by 6\/r + 312\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497479 is divided by 129?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1021602?\nAnswer: -1021604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1714*i**4 - 10*i**2 + 12*i + 175. Let k(o) = 5142*o**4 - 29*o**2 + 34*o + 522. Let l(s) = 17*a(s) - 6*k(s). Find the third derivative of l(g) wrt g.\nAnswer: -41136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3017 - 3015. Let o(m) be the second derivative of -49\/2*m**f + 1 - 1\/48*m**4 + 2*m + 7\/6*m**3. Factor o(j).\nAnswer: -(j - 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -523.95739929 - -0.05399929. Let f = u - -524. Round f to three decimal places.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18010, 2.\nAnswer: 2, 4, 18010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5105 is divided by 284?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 92*g**3 - 2*g**4 - 2 + 2*g**2 - 184*g**3 + 4*g**4 + 90*g**3 in the form v + a*g**2 + c*g**3 + t*g + j*g**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(3\/4)*u)\/u*u*u*u\/(u**(-10)*u)*u)\/((u\/u**(-2\/13))\/((u**9*u*u*u*u)\/u)) assuming u is positive.\nAnswer: u**(1331\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4403 and 1\/370.\nAnswer: 44030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 8*l - 14. Let u be q(-10). Let w = 48 - u. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -38*h + 34*h - 12, 0 = 4*p - 4*h. Which is the nearest to 0? (a) -1 (b) p (c) 0.5 (d) -1.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/95995440 and -83\/19999050?\nAnswer: 479977200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216692*g**2 + 650163*g**2 - 216739*g**2 - 216730*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -75, -5, 5.\nAnswer: -75, -5, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60762.\nAnswer: 2, 3, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 3*a**3 + 2*a**3 + (3*a**3 + 0*a**3 - 2*a**3)*(-3 + 3 + 5).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 0.1. Let z = -9 + 16. Let m = 2 - z. What is the closest to -2\/5 in v, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 15) to base 8\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 387154, 774308, 1161464, 1548622, 1935782, 2322944?\n\"Answer: q**2 + 387151*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -30. Sort b, 0.5, -2 in increasing order.\nAnswer: b, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 3*f**2 + 19. Let d(s) = -s - 2. Let i(n) = -5*d(n) - r(n). Let c be i(3). Solve -c + 18 = 3*j, 0 = -2*k + 2*j - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:11 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 23. Solve u - 3 = w, -h = 5*u - 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 605746.011 to the nearest one thousand.\nAnswer: 606000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(1\/7)\/w*w)*w)\/w*w**(2\/7))\/(w**(-1\/5)*w**(1\/8)) assuming w is positive.\nAnswer: w**(621\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 11*c - 9. Let s be p(10). Let n be ((-34)\/(-6))\/(s\/3). Solve -b - 4*x = 16, -4*b + 5 = 3*x + n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 - z**3\/3 + z - 2. Let o(u) = -5*u**3 + 4*u**2 - 3*u + 2. Let y(m) = 2*i(m) - o(m). Factor y(p).\nAnswer: 3*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 71 - 1 = 0. Calculate the smallest common multiple of g and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 5*y + 5. Let j be h(-4). Suppose 2*q = 3*q - j. Is 10 a factor of (q\/(-1) - 4)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o + 10. Let v be g(10). Let i(s) = -13*s - 3. Let f(t) = -170*t - 40. Suppose -5*q = -3*r - 12, 5*r - 2 = -9*q + 10*q. Determine q*f(a) + v*i(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -16*b**3\/3 + 5278*b. Let f(d) = 1183*d. What is -6*f(n) - 221*v(n)?\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from gng?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4772915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/11618 and 37\/10362.\nAnswer: 383394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 + 201. Suppose 4*m + 1182 = 2*v, -m + 5 = p. List the prime factors of v.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.193 to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h + 34*h - 45*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*v = -4, 4*s + 3*v - 17 = -0*v. Suppose s*j - 44 = 3*o - 9, 0 = -5*j - 4*o + 99. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 19 + 13 + 5 - (-13 + -8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 20 = -7*y + 2*y, -20 = 3*y + 5*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1298 + -1298)\/(2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8301974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/5, -19, 0.25, 1.2 in descending order.\nAnswer: 1.2, 0.25, -2\/5, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 39*f + 21. What is the lowest common multiple of 3 and q(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 42, 35, 28, 21?\n\"Answer: -7*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let m be g + ((-2)\/(-1) - -7). Let p = -92 - -101. What is the greatest common factor of p and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 9:48 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -13*x - 14*x. Let g(o) be the third derivative of 0 + 3*o**2 + 1\/240*o**5 + x*o - 1\/96*o**4 - 1\/24*o**3 + 1\/480*o**6. Factor g(y).\nAnswer: (y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 less than 595\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*c**3 - 304*c**3 + 86*c**3.\nAnswer: -167*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 5 - 10*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (252\/(-10))\/(12\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - (-13 - 689\/(-52)). Let l = -1.3 + 0.9. What is the nearest to -1 in n, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qssslqs. Give prob of sequence sssq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 2 - 2 - (37 + (7 - 32))) + 85\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 4:38 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 less than or equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 39*g**2 - 24 - 12*g - 38*g**2 + 3*g. Let j be o(11). Is ((-2)\/j - 1367)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1076*n**5 + 16092*n**4 + 20088*n**3 - 33568*n**2 - 1536*n = 0. Calculate n.\nAnswer: -2, -12\/269, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 - -13 - -6) - -74\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 + 25*c + 141. Let g be o(32). Let p = g - 60547\/10. Calculate the common denominator of p and -6\/23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 6)*177\/(-3)*1. Let n(q) = 7*q + 236 - 3*q - s. Let f(m) = -2*m - 3 + 3. Determine n(f(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -4*l. Let n = -1 + 4. Let c be (n + l)\/(2\/5). Solve c*u = 7 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*1 + sqrt(68))*-5 + sqrt(68) - (sqrt(68) - (sqrt(68) + 2 + 1)))**2 + 3)*-1.\nAnswer: -5520 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-5)*g)*g**(-8))\/(g\/(g**(2\/17)\/g)*g*g)**(-15) assuming g is positive.\nAnswer: g**(939\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 2*s**2 + 2*s - 3. Let p be j(2). Solve -5*f = -9 - p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75821426 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 9:15 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9401 - -9400.99962568. Round t to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11313 (base 6) in base 12?\nAnswer: -b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 606 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3*(-6)\/81. Which is the biggest value? (a) l (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.94 rounded to one decimal place?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1110?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 c when three letters picked without replacement from vhtccho.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -p - f + 13, -9 = -3*f. Suppose 4*k - 20 + p = 0. Solve 0 = k*m - 2*c, 0 = -2*m - 2*m + c + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16883489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2038 - 0.4\nAnswer: -0.6038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-3)*33*2\/(-44).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*s - 168*s - 652 = 0. Solve 6*z - 7*z + 2*j = -1, -5*j = -s*z - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -999, -4, 6, -1 in ascending order.\nAnswer: -999, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228.6 + -224.6. Which is the closest to o? (a) -13 (b) 0 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -9)\/(-2 + 0). Solve -x = 4*a - m*x + 18, -5*a - 5*x = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11289 - -11359. Solve -30*n = -44*n + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08693 in 3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 3}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 105360 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 504748469*g - 742725701.\nAnswer: 504748469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*x + 271*x = -20. Suppose 2528 = 34*k - x*k. What is the remainder when k is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 9*g**2 - 8*g - 36. Let y be v(-8). Let q = y - 469. Calculate the least common multiple of q and 243.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1623, 1625, 1627, 1629?\n\"Answer: 2*s + 1621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuurjkjjjjku. Give prob of picking 1 c and 1 k.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*l - 86*l + 2417*l + 545*l + 1562*l - 1.\nAnswer: 3960*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.13285346 rounded to 3 decimal places?\nAnswer: 2.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461 + 880. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 + 5*a + 4. Let z be c(-5). Differentiate 7 + 9*m**z - 2*m**4 + 4*m**4 wrt m.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.6 - 4.8. Let r = m + 29. Let q = 0.02 - 1.02. Sort q, r, 0.5 in decreasing order.\nAnswer: 0.5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920459 is divided by 82.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(-1))*v*v*v*v)**13*(v*v**(1\/12))\/(v\/v**11) assuming v is positive.\nAnswer: v**(1069\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1579971*u**2 + 4482883*u wrt u.\nAnswer: -3159942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/2 - -17\/6. Let z = -5.4 + 7. Let b = 1.3 - z. Put b, q, -1 in decreasing order.\nAnswer: q, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 2:04 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o - 17. Suppose 0 = 181*a + 390 + 153. What is b(a)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162366896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (62800\/12)\/((-21007)\/10500 - -2). Round x to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 166543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j*w**4 - 4*j*w**3 - 4*j*w**2 - j*w - 626*j - 125080*w**4 + 2*w**3 - w**2 + 2*w + 1 wrt w?\nAnswer: 96*j*w - 24*j - 3001920*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32705 = -69*z + 38*z. Calculate the remainder when z is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373158 - 268726 = -92*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Suppose 0 = -16*g + 14*g + 4. Which is the closest to f? (a) g (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 7. Let d = -21 + 33. Let r = d - -8. Let h(p) = -p - r + 3*p + 0*p + p. Calculate -6*h(x) + 17*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q**4 - 1929417*q**3 - 13828701*q**2 + 30872817*q - 8682957 = 0 for q.\nAnswer: -9, 1\/3, 3\/2, 107197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*b + 48*b + 35240. Let g be b\/(-36) + 4\/18. Calculate the highest common factor of 28 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 - 2*o**2 - 6 + 2 - 2*o + o. Suppose -2*i = 5*b - 18, i - 4*b + 2 + 2 = 0. Let t(r) = -6*r**2 + r + 5. What is i*t(z) + 5*n(z)?\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:22 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -818162?\nAnswer: 34\/409081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2) + -2)\/(-1). Let n be k*1\/(-2)*1. Solve 7*y - 4*y + 3 = n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1426169 divided by -35\nAnswer: 1426169\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30616 + -30605. Solve -5*i + 5*l + 20 = 0, l = 2*i - s + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132 * -0.3.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*f*y**4 + 12*f + 3*y**3 - 11*y**2 wrt y.\nAnswer: 840*f*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {o: 4, r: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1665 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6241 or -5672?\nAnswer: -5672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*n - 779*n + 8010 = 864*n for n.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6 - 16*i**5\/5 + 3*i**4 - i**2 - 32. Factor r(z).\nAnswer: 2*z*(z - 1)**3*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/770 and -137\/210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4643\/13 - -357. Let c = -526\/3 - -176. Sort 4, o, c.\nAnswer: o, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let p be x(-1). Does 14 divide 0 - -3 - (p + -61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*x + 147 - 994 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -11 + -2*(4 + -391)?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2308 - -4577. Suppose 2*q = 5*r + 2322, -2*q - 2*r + a = -25. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13429 and 3720866.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130772 is divided by 42074.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4038713\/1016748 - 1\/28243. Find the common denominator of -149\/6 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 4, c: 4}. Give prob of picking 1 c and 1 d.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335.0012 + -0.0012. Let c = y + -338. Put c, -2, 1\/8 in increasing order.\nAnswer: c, -2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 6 = -24*i + 40*i - 17*i - 19*c, 3*c + 9 = -2*i - 2 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (sqrt(224)*-3 - sqrt(224)))\/((-3*sqrt(8) - sqrt(8) - sqrt(8))*-5) + ((sqrt(56) + sqrt(896))*-6 - sqrt(56))\/(sqrt(8)*-1*-6).\nAnswer: -721*sqrt(7)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25926309?\nAnswer: 3, 17, 41, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 17. Let c(h) = -h**3 + 4*h**2 - 2*h - 2. Let a be c(2). Let r(s) = -s**3 + 8*s - 10 - 8 + 0*s + 22 - 4*s**a. Give r(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, -2, 570, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249399138 + 0.3.\nAnswer: 249399138.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-6)*((-2)\/(-1))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, o: 1, s: 1, w: 1}. What is prob of sequence us?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1499 * 39\nAnswer: -58461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (9 - 14 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**5 - 6*o**3 + 3*o**2 - 6*o. Let v(a) = 3*a**5 - 5*a**3 + 4*a**2 - 5*a. Let q(s) = -5*k(s) + 6*v(s). Find the third derivative of q(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1496\/2244)\/(3\/((-126)\/(-4))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 289*u**2 - 39009*u - 557. What is h(85)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38694868813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40.8 + -1\nAnswer: 39.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 15*j**2 - 3*j + 271. What is b(-14)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145 in -5, 1, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2046622273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 1, n: 6, c: 3}. What is prob of picking 1 k, 1 n, and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4867255.7695 + -7752.\nAnswer: 4859503.7695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -225 and 159.4.\nAnswer: -65.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2485*n**2 - 54*n - 54. Let m(j) = -621*j**2 - 12*j - 12. Let k(d) = -2*h(d) + 9*m(d). Let v(x) = 9*x**2. What is k(v(u))?\nAnswer: -50139*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78955 - 39605. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23391486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by 116.\nAnswer: -173\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 36*x + 6. What is f(-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i*i\/(i*i**17*i))\/i*i)))\/i**(-2\/17) assuming i is positive.\nAnswer: i**(-270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 51*z - 42. Let o be l(24). Let d = o + -219. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.2255, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 2 - 222321\/54. Let d = 4123 + o. Let y = 249\/26 + 480\/13. What is the common denominator of y and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 2, -2 in descending order.\nAnswer: 2, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 - 5*u - 14. Let z be n(6). Let y be 7\/z + 118\/8. Let q = 44 - y. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -798, -1781, -3166, -4959, -7166, -9793?\nAnswer: -12846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(1377) + 2) - sqrt(1377) - sqrt(1377))**2.\nAnswer: -270292 - 5040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19492 or 0.125?\nAnswer: -19492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 + 1047\/8. What is the second smallest value in 2\/19, -4, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1449*z - 1435*z + 6*z**2 + 0 - 1 to the form k + i*z**2 + v*z and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - a + 0)*(19 + 4 - 2)*(2*a - 2*a - a)*(-2 + 1 - 1)*(-38*a + 17 - 17) + 2*a**3 + a**3 - a**3.\nAnswer: 1598*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 703.69993907 + -703.7. Round p to six dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**2 - 6. Let y(k) = -2. Let q(a) = -i(a) + 3*y(a). Let n(t) = -3*t + 60. Calculate q(n(z)).\nAnswer: 54*z**2 - 2160*z + 21600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 7*j**2 - 9*j. Let a be v(-7). Let u be a\/81 - (-2)\/(-6). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, 15, 90, 227, 444, 759, 1190?\n\"Answer: 3*h**3 + 4*h**2 - 2*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6015 (base 8) in base 16?\nAnswer: c0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2167 + -2170. Let j = 3.8 + -0.6. Let n = j + s. Which is the nearest to -2? (a) -1 (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1637184*s - 2563398 wrt s?\nAnswer: 1637184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:04 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*n - 1)*(-33*n - 18*n + 8*n)*(0*n + 2*n + n).\nAnswer: 387*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**3 + 1091*c**2 - 715*c - 3130. Determine p(363).\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -3, 1087.4, 3 in increasing order.\nAnswer: -5, -3, -0.4, 3, 1087.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116024.\nAnswer: 2, 3, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 3\/7, 0, -1, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (396\/(-48))\/((-9)\/(-12)*4)*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2004926 and 5615344.\nAnswer: 3878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 1}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 67 = -3*j, 211*s - 321*s - 522 = 2*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 75*v**2 + 13*v - 4. Does 7 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**42\/c)\/c*(c*c*c**13)\/c*c assuming c is positive.\nAnswer: c**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -747871943 plus 16257?\nAnswer: -747855686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/5)\/(-2)*2\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -166468235?\nAnswer: -166468235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**2 + 72190*l + 1881871 wrt l.\nAnswer: 6*l + 72190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 15) to base 7.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124420 (base 6) in base 5?\nAnswer: 331023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*c - 3*c + 78, -2*c - 5*v + 52 = 0. Let n be (-4)\/c - (-2102)\/(-26). Let o be 4\/18 + (-17009982)\/n. What is o rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2583.7512 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3317*l = 25424 + 97305 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 40\/27, 0.8, -1\/4, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 20 - 4. Suppose 7*l = n*l - 754269. Let p = l - -101423. Round p to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -10 (b) 2\/17 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14607115?\nAnswer: 5, 2921423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169153\/34140 + 8\/1707. What is the common denominator of (-302)\/(-4)*(-2)\/12 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 195 and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6 - 14. Let u(x) be the first derivative of -2*x**2 - 3 + 3*x**2 - x + 5. Give u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 20, 64, 126, 206, 304, 420?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 10. Let v(r) = -9*r + 21. Let h(b) = -7*g(b) - 3*v(b). Let o(w) = -3*w - 4*w + 28 + 0*w + 3*w. Let j(z) = -9*h(z) + 2*o(z). Determine j(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.42 and 1486255.\nAnswer: 1486255.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0 in descending order.\nAnswer: 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 424 = -5*l, -6*p = -4*p - 4*l - 290. Let c = -569\/4 + p. Let d be (-18)\/4 + (-6)\/(-4). What is the closest to -1 in c, d, -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 at most 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let b(o) = -1. Let y(c) = -2*c + 2. Let j be y(5). Let g(q) = 2*q - 8. Let r(t) = j*b(t) + g(t). Give r(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0330222 rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 127588 = 3*o, 3*o + 2*v = 66487 + 61102. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:42 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Suppose 0 = s - 12 + 1. Let i = s + p. What is the least common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -96, -5, -29, 4 in decreasing order.\nAnswer: 4, 0, -5, -29, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*(n\/(n**(-2\/5)\/n))\/n)\/n))\/n*n**(-4\/19)\/n*n assuming n is positive.\nAnswer: n**(-153\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1))\/(-2) - -3. Calculate the least common multiple of x\/3 - 1 - -12 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/253 and 151\/690.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 + 302. Let p be (-16)\/m - (-79)\/11. Solve -w = 2*h - 4 + 5, -2*h = -w + p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67.211 - -3.831. Let w = z - -60. Let c = -4.1 - w. Round c to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1405, -4241, -8459, -14059, -21041, -29405?\nAnswer: -39151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1125)\/45)\/675 + (-173)\/(-297).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1003 + 1005. Suppose -3 = h - 2*h. Suppose -4*w + h*w = 0. Solve c + 3 + u = w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90437 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 37 = 225. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-15)\/(-10)*2. Let j(i) = -9*i - 3. Let v(l) = 8*l + 2. Let a(t) = y*j(t) - 4*v(t). Give a(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9791 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8073 divide 1297880064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -46, -38, -30, -22, -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47155\/2 + -23579. What is the biggest value in -1\/4, -2, i, 0.018, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.01091 years to centuries.\nAnswer: 0.5201091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 2.99. Let t(h) = -h - 5. Let w be t(-8). Put q, 1, w in decreasing order.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2736199?\nAnswer: 47, 58217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 64682*k\/5 + 776472\/5.\nAnswer: -2*(k - 32353)*(k + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2223 (base 5) to base 13\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161\/6 + -319\/12. What is the nearest to -0.1 in p, 0.4, -55?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/((-2 - -3)\/((-2)\/(-4))). Solve 17*j + 36 + o = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 932, 2333, 4202, 6539, 9344?\nAnswer: 12617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 4*j. Let x be (-2)\/(-7) + (-104)\/(-28). Let u be p(x). Suppose u*b = 2*b. Solve b = 2*d - 3*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0*h + 6*h + 4*h**2 + 1 + h. Let k(x) = 3*x**2 + 6*x + 1. Let z(r) = -6*k(r) + 5*o(r). What is the units digit of z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*i + 5 + 10, 9 = 3*i. Solve 5*z = -5*v + 40, 3 = z - j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823426547, 1646853095, 2470279643?\nAnswer: 3293706191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.08 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 5*y - 2*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 5. Let r(g) = 5*g - 17. Let c(n) = -2*n + 9. Let q(y) = -5*c(y) - 3*r(y). Calculate -2*q(w) - 3*z(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 2*x**5\/15 + 2*x**4\/3 + 3*x**3\/2 - 296*x**2. Suppose 0 = 5*a - 3*a + 10. Calculate the remainder when r(a) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -8)\/((-21)\/140). Put x, -4, -3 in decreasing order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/4)*v*v*v)**(3\/32)*v**3\/(v*v**(-2\/11)))**(-2\/75))**(-15) assuming v is positive.\nAnswer: v**(687\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -4*p**6\/15 + p**3 - 12*p + 7. Let s(a) be the first derivative of x(a). What is the second derivative of s(d) wrt d?\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x - 3. Let n(w) = -6*w + 2. Suppose 0 = h - 46 + 4. Let y(m) = -m**2 - 8*m + 7. Let i be y(-8). Suppose -5*r + h = i. Give r*n(j) + 4*q(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}