diff --git "a/data/dm_maths/full_data_1/174_11255.jsonl" "b/data/dm_maths/full_data_1/174_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/174_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i = 16.24 + -16. Let k = -0.41 + i. Round k to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, p: 1, r: 5}. What is prob of picking 4 q?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*r - 3*c + 79, -97 = -4*r + c. Do r and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5312 = 5*a, 0 = 30*a - 26*a - j - 4244. Is a a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -354216785.7 to the nearest one hundred thousand.\nAnswer: -354200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1c2 (base 13) to base 16\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + b - 4, -764*u + 759*u - 3*b = -17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*g**2 - 18*c**3*g**3 + 3*c**2*g**3 - 2*c**2*g + 26*g**3 wrt c.\nAnswer: -24*c*g**2 - 108*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 3*r + r)*(5020*r - 13078*r - 180*r - 6040*r - 5897*r) to the form k*r**2 + x + a*r and give k.\nAnswer: -60525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011102102 - 2?\nAnswer: -2011102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100110?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315*m + 24 + 4 - 26 to n*m + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769 - 269. Round t to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 270 = -44. Which is bigger: -112 or c?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -g + 14, 0 = -2*s + 3*g - 2*g + 1. Let a(t) = t**3 - t. Let y be a(1). Suppose s*w - 2*w + 3 = y. Which is bigger: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 19405\nAnswer: -97025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 1004 = 2*o, 512 = 2*b + 4*o. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 0*z - 3*z + 3. Let y(i) = -i + 6. Let f be y(3). Suppose 3*u = -3*t, f*t - 7*t + 5*u - 36 = 0. Determine d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, -823, -4, 22 in increasing order.\nAnswer: -823, -4, 3, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(-1 + -3 + -4). Suppose -3*p - 4 = -j. What is the highest common divisor of p and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 2*z**4 + 6*z**4 + (1 - 2*z - 1)*(z**3 - 1 + 1) - 5*z**4 + 2*z**4 + 7*z**4 + 0*z**2 + z**4 + 0*z**2.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - 26) - (14 + (-38 - -14))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 2. Let j be h(3). Let m = j - 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -19. Let r = n - -9. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -18480?\nAnswer: 18483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 255, 388, 521?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/30 - 3*i**5\/20 + i**4\/12 + i**3\/2 - i**2 - 11*i. Factor c(f).\nAnswer: (f - 2)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 512\/18 - (-35 + 9891\/157)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(1088)) + (sqrt(153)\/sqrt(36) - (-5 + (sqrt(17) - sqrt(51)\/sqrt(3)))**2).\nAnswer: -29 + 65*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758.6488 millimeters to kilometers.\nAnswer: 0.0007586488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36019137 divided by -1.\nAnswer: -36019137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - -26. Let z = 94 - t. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + z = -30, 24 = 4*s + 2*z. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -20. Suppose -3*w + 3*i + 7 = 2*w, d = 4*w - 4*i. Which is the third biggest value? (a) w (b) -0.2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/12, -3\/4, 1.208, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 6, -0.5, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1983 - -2369. Let k = -96 + 139. What is the remainder when y is divided by k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173699210 by -5.\nAnswer: -34739842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/(w*w**(3\/2)))**(3\/8)*((w**(-1\/4))**43)**(-43) assuming w is positive.\nAnswer: w**(7345\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16713296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -140, -196, -166, -50, 152?\n\"Answer: 43*b**2 - 185*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*r + 5*a, -8 = -a - 3*a. Solve r = -0*s - s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8978\/5 - 1804. Let a = 38\/5 + m. What is the nearest to 2 in 1, -2, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.99 + -2. Let z = 30121\/9 + -3347. What is the fourth biggest value in 0.01, h, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 20\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 22*y**2 - 111*y - 66. What is d(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/(-580))\/(8\/1024).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*f - 15 = 0, r + 42 - 33 = -3*f. Suppose -4*j + a = 3*a - 74, -4*j - a + 71 = 0. Solve -5*d = -k, k + 3*k = r*d + j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 4*q**3 + 3*q**3 - 18 - 12*q**2 - 6*q + 8*q. Let w be o(12). Solve -6*i + w + 2*i**2 - 2\/9*i**3 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2684 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000113336 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + 0)) + 5 - 4*(sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(9))**2 + -2 + -2*(1 + sqrt(2))*3*6.\nAnswer: -116*sqrt(2) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3487\/5 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-930)\/(-124))\/(36\/3)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 17. Suppose -2*f - 10 = 3*i - g*f, 0 = 4*i - 2*f + 10. Does 13 divide (-19)\/(i + (-336)\/(-68))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 49. What is the nearest to -1\/2 in 0.3, f, -2.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let z(i) = -i**2 - 6*i. Let k(l) = -15*x(l) - 5*z(l). Let g(j) = 14*j**2. What is g(k(q))?\nAnswer: 350*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 151267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l - 150. Let n be p(30). What is the nearest to -2\/3 in -0.5, -1\/4, 1, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -714 in 2, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19290 - 424483\/22. What is the common denominator of -71\/10 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 106. Suppose -11 + 0 = -f*g. Let t be g\/(-2)*((-20)\/4 + 1). Is t > -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11067.78 to the nearest one hundred.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) -2\/193 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 13*f + 3. Let m be s(-7). Put 0.4, 4.2, m in descending order.\nAnswer: 4.2, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41527229*t**3 + 5*t - 5*t + 41531623*t**3.\nAnswer: 4394*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ssssswswowswwwivwyso.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 243, 244, 253, 276, 319, 388, 489, 628?\n\"Answer: y**3 - 2*y**2 + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 equal to 856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 13.9735?\nAnswer: 14.9735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 7) in base 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692253 to the power of 1\/2, to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1574*y**2 - 833*y**2 - 449*y**3 - 733*y**2)*(0 + 2*y + 0).\nAnswer: -898*y**4 + 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let n = 130 - 259\/2. Which is the nearest to 0.4? (a) d (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80*-5.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3640*n + n**2 - 2 + 7330*n - 2*n**3 - 3664*n to the form p*n + h + f*n**3 + r*n**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34188 is divided by 2135.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + (-1 - -5 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 425e0 - 1?\nAnswer: 425df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -841 - -844. Solve -2*l - w*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -920 (b) 0.3 (c) 0.08 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7266 + 108988\/15. Which is the smallest value? (a) -1.9 (b) 0.1 (c) w (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -499*k + 247. List the prime factors of d(-3).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20593000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 16*b - 2741. Let u be f(0). Let z = -1865 - u. What are the prime factors of z?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let z be r(3). Let q be 1\/(((-12)\/(-56))\/((-18)\/(-21))). Suppose -z*b - q = -b. Let j(v) = -2*v - 5. Calculate j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -0.581443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9877, -9821, -9765?\nAnswer: -9709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52877 by -6.\nAnswer: -52877\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*f - 80 = 0, 5*m - 6*f - 211 = -7*f. Solve 0 = -40*j + m*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-14)*(-2)\/35. Let x = 11\/431 + -8297\/21119. Let g = t - x. Which is greater: g or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 2048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 20*p**2 - 22*p + 66. Determine m(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20737*r**6 - 3*r**4 - 3688*r**2 - 22*r?\nAnswer: 2488440*r**3 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k - 1. Let s(f) = -2*f**2 - 15*f + 5. Suppose -2*o + 5*a = 13, 5*o + 3 + 1 = 3*a. Determine o*s(r) + 4*g(r).\nAnswer: 2*r**2 - 11*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 19. Let r be f(-8). Suppose 4*n - 16 = 0, d - r*d + 4 = -4*n. What is the second derivative of -7 - 5 + 2*w + d - 3 - 5*w**5 wrt w?\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 30*y. Let c(l) be the third derivative of -4\/27*l**4 + y*l - 32\/27*l**3 - 1\/135*l**5 - 13*l**2 + 0. What is w in c(w) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w**3*z + 3*w**3 + 5*w*z + 3*z - 101 wrt w?\nAnswer: -6*w**2*z + 9*w**2 + 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 44. Suppose r + 4 = 5*r. Suppose -4*h = -11*d + 16*d - 15, d + 4*h - 3 = 0. Solve -n - r = -d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/60 - 2*a**3\/3 - 7*a - 2. Let b(k) be the second derivative of r(k). Let t(m) = m - 10. Determine b(t(j)).\nAnswer: 2*j - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 40 + -12 + 1 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.2. Let o = m - -0.8. Let n = o - -2. Which is smaller: n or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289366 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = k + k - 35008, 0 = k - 3*h - 17526. Suppose 0 = 5*j - 10, -3*j + 4*j = 4*i - k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z - 141. Let p be q(14). Let x(a) = 10*a - 2. Calculate the remainder when x(4) is divided by ((-3)\/(-18) + p\/(-18))*20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10372279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 891.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -2333.3.\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29343.978ms to hours.\nAnswer: 0.008151105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1895465.698 to the nearest one thousand.\nAnswer: 1895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:07 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/((4*sqrt(45))\/sqrt(5)))**2*-3.\nAnswer: -51\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*z - 56*z + 19*z + 24*z as i*z + p and give i.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svuelyu. What is prob of picking 1 e, 1 y, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*f - 1007 + 501 + 506)*(0*f**2 - 9*f**2 - 7*f**2).\nAnswer: 2304*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 507 + -507. What is the closest to -2 in f, 2\/47, 4, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3 - (20 - 24) - (-14 - -7)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 7) to base 11.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7\/2)\/p**(-2\/15))**31\/(p\/((p*p**4)\/p)*p\/p**5*p**(-1\/6)\/p**(3\/4)) assuming p is positive.\nAnswer: p**(-1929\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 342315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 23 = -6*l. Let s be (28\/(l + 13))\/(4\/2). Suppose -4*r - s*o + 864 = -1514, -3 = -o. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a - 0*a. Let y(x) be the first derivative of x**3\/3 + 5*x**2\/2 - 12*x + 3934. Let i be y(a). Solve 3*v = 5*o - 1, -3*o - 2*v - i - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102735.\nAnswer: 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and 73\/2600?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9822019619908\/8359923 + 198557230\/169. Let u = 3\/1499 + d. Find the common denominator of u and -5\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(1*(sqrt(160)*-2)\/(sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(14)\/(-1*sqrt(7)))))**2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 13, -3, -37, -95, -183, -307?\n\"Answer: -i**3 + 3*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-35) - ((-22)\/15 + 2). What is the second biggest value in -0.2, -4, g, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 184 + 2?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d + 48*d + 32 = 0. Suppose 2*a = -4, 5*c - 3*a - 8 = d. Let k be (-8)\/(-10)*-1*-5. Solve c*b + 2 = -k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -419 - -296. Let b = -120 - a. Solve -6*s = -b*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -4)\/(-1) + 15. Suppose 4*s - 2 + 12 = 2*y, y + 5*s = 12. Let m = k - y. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -4514223?\nAnswer: 4514164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2. Let y(x) be the third derivative of x**7\/2520 + x**5\/15 + 5*x**2. Let j(u) be the third derivative of y(u). What is z(j(h))?\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 2 (c) 5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 60*(-31)\/(-15).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*m - 39, -5*m = 2*i + i - 120. Let u = 22 + i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 - 8*p - 6. Let f be h(7). Let k be (f\/(-81))\/((-15)\/18). Let d = -13\/9 - k. Which is the closest to 2\/9? (a) -2\/13 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 4*u - 6*u + 2*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -84. Let j = 19 + 3. What is the highest common divisor of q and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -898\/3 or -299?\nAnswer: -898\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(14\/5)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -637*l**2 + 15*l + 50. Let b(h) = -212*h**2 + 6*h + 17. Let n(z) = -8*b(z) + 3*c(z). What is the second derivative of n(u) wrt u?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)*2*6)\/(sqrt(90)*-2*-1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65887 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**3\/3 - 4*z**2 - 10*z + 1. Let w be s(-4). Solve a = -2*a + w, -5 = t - 2*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from xllzjzzzzlzlllnzljll.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6223.987328 take away -0.28895?\nAnswer: -6223.698378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55472405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**7\/30 - 8*w**3\/3 + 31*w**2\/2 - 23*w. Let h(l) be the first derivative of d(l). Find the first derivative of h(z) wrt z.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*d - 4 = 4*d, -6 = -u + 3*d. Suppose -3*r + 259 - 163 = u. Solve 3*x = -5*o + o - r, x - 11 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = -14. Suppose 2*p + 2 = 3*x, 6*x - 3*x = 0. Sort p, 1, n in ascending order.\nAnswer: n, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5063541.\nAnswer: 3, 7, 41, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldrr when four letters picked without replacement from rrrrrdrdlrqrrrrrr.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2\/2 + z - 229. Give c(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -602330 divided by -6.\nAnswer: 301165\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s**2 + 44*s + s**3 + 0*s**3 + 11 - 39*s. Let u be y(10). What is the common denominator of -13\/11 and (3\/(-27))\/((-1)\/u)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 - 6*q + 41. Let b(s) be the second derivative of -11*s**4\/12 - 17*s**3\/6 + 62*s**2 + 2910*s + 1. What is -6*b(i) + 17*r(i)?\nAnswer: -2*i**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*w - 43, -9*w + 5*u - 36 = -12*w. Suppose w*z + 2704 = 2711. Solve -2*a - 4*x + z + 7 = 0, -3*a + 4*x - 18 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/324 and 15\/32.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22 - (-3)\/(-1)*18\/(-27). Let f(v) = 51*v**2 - 25*v**2 - z*v**2 + 26*v - 23. Let d be f(-14). Solve -3*a - 7 = d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5561?\nAnswer: 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7, -0.1, -332, -1\/6?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {c: 5, y: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 24 = 4*k, 0 + 6 = -k - 2*j. Suppose k*o - 6 = -0. Solve 0 = o*m - 6*m + n - 8, 5*n + 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 a factor of 990300548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 70, 50, 10, -56, -154, -290, -470?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1341893 + -4\nAnswer: 1341889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/66*(-12 + -2 + 10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319905 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 51 + 2*z**3 - 56.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 4*n**2 - 20*n - 8. What is the remainder when 428 is divided by x(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.4. Suppose 10 + 66 = -19*o. Which is the closest to w? (a) o (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169224339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -84*c - 2082. Calculate the smallest common multiple of 216 and m(-25).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -63*s + 36. Let b(q) = -120*q + 70. Determine 4*b(f) - 7*c(f).\nAnswer: -39*f + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 249\/(-198) - (-48)\/(-528). Let -1\/3*d**2 + 0 + v*d = 0. What is d?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22854 + -4993. Is l a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let k(h) be the second derivative of 569*h**3\/2 - h + 1304. Calculate k(l(b)).\nAnswer: -1707*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 + 2*x - 8. Is 16 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 32*n - 1 + 2*n + 28*n.\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6)*(4*d - 2*d - 3*d) - 5*d + 5*d + d + (-2 + 1 - 1)*(1 + d - 1) + 2*d - 4*d + 0*d + 5 + 51*d - 5.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*u + 162 = 0, t + 3*u - 1 + 165 = 0. Let i = t - -176. What is the greatest common divisor of 72 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*w + 37 = -53, -2*b - 4*w = -92. Let j = b + -15. Let i = 25 - j. Let d(o) = -o**3 - 3*o**2 - 4*o - 3. Calculate d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -24.1524?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -1140?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1532 + -1477. Calculate the greatest common factor of f and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -714139*-13\nAnswer: 9283807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5106 - 11644. What is d rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10291 - 290 = -1253*z - 3782 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (21 - 8 - 7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, 17, -5, 2, -3 in descending order.\nAnswer: 218, 17, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40350.5326 rounded to the nearest 10?\nAnswer: -40350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/6 and ((-8)\/(-22428)*249)\/((-52)\/(-39)).\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 890943.17 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34 + 176\/(12 + -1). Solve -j*g = -111 - 89 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - (0 + -74 + 145).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24758 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + 7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a gram in milligrams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*j + 1982 = 998 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33749888 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o - 3*o)*(648*o**2 - 2 + 134*o**2 - 10 + 12).\nAnswer: 1564*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 1. Let p = 10 + t. Let v be (2 - 0\/(-2)) + p. Solve -v*d + 9 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 508066 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1851 divided by -1\nAnswer: -1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 143955299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3618 and 109\/950328.\nAnswer: 2850984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 222951211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2160 and 660.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from sggjpuuuupkggsu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*h + 24*c**3 - 5*c**2*u**2 + 8882*c*h*u**2 + 163*c - 25*h*u**2 + 11 wrt h.\nAnswer: -c**3 + 8882*c*u**2 - 25*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1850768, -1850793, -1850840, -1850915, -1851024?\nAnswer: -1851173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 331 - 331. Put 34, 5, 3, a in increasing order.\nAnswer: a, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2761*k + 13333 = -329031 for k.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -358145*g**6*j**3 - 13*g**3*j**3 - 621*g**2*j**3 + 6*g**2*j**2 - 2*g**2*j - 266*g*j**3 wrt g.\nAnswer: -42977400*g**3*j**3 - 78*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240525709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(847) + 1 + sqrt(847) + 2))**2*2.\nAnswer: 1056*sqrt(7) + 27176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/19*j**4 + 2\/19 - 4\/19*j**2 + 2\/19*j**5 - 4\/19*j**3 + 2\/19*j.\nAnswer: 2*(j - 1)**2*(j + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 3, 45, -5 in increasing order.\nAnswer: -5, 3, 45, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 733941 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218.5 + -205. Let b = -13.3 + v. Let j = -137\/3 + 45. What is the second biggest value in -1\/2, -5, j, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p - 53. Let q be f(8). Solve -4*i - 2*m + 1 = -i, 0 = -q*i - 4*m - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 - s. What is d(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/40 + (-344)\/(-10). Suppose 44*g - p*g = 4869. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7878.63 rounded to the nearest integer?\nAnswer: -7879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 7\/11, -0.4, 5 in decreasing order.\nAnswer: 5, 7\/11, 3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-3 + 6 - -30). Let k = s - -31. Let c = -1.6 - -1.8. What is the nearest to 2 in -3, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 - 149105*c**4 - 1192635*c**3 - 3428635*c**2 - 4173880*c - 1788780 = 0 for c.\nAnswer: -29813, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*w**3 + 3*w + 8*w**3 + 71*w**3 - 102 - 142 - 63 wrt w.\nAnswer: 882*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 2*y**2 + 9*y + 7. Let h(d) = 3*d**3 + 6*d**2 + 26*d + 20. What is 6*h(q) - 17*t(q)?\nAnswer: q**3 + 2*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*x - 20*x + 58*x - 8909 = 0. Suppose 4*h - 57 = 3*p, -7*p = -2*p + 15. Let g = h - -8. What is the remainder when x is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -3\/34, 2\/59, 2\/3903, 1, 1\/2?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by 85\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**5 + 112*b**4 + 360*b**3 - 6256*b**2 + 5780*b = 0.\nAnswer: -17, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25801 + -386971\/15. Let d(o) be the second derivative of -3*o**2 - 61\/6*o**4 + 22\/3*o**3 + 8\/21*o**7 + 39\/5*o**5 - q*o**6 + 0 - 48*o. Factor d(i).\nAnswer: 2*(i - 3)*(i - 1)*(2*i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -8.5636 in decreasing order.\nAnswer: 1, 0.5, -8.5636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfxxfsjssxfffxjssjx. What is prob of picking 2 j?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 16084*c + 16084*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*2 - -4. Suppose -7*k + 13 = -4*t - 2*k, t + l*k - 18 = 0. Let u = t + 8. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96 plus -31?\nAnswer: -31.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/24 - 807\/(-9). Suppose -7*k = -5*k + f. Let p be (18\/k)\/(2\/(-13)). Do 3 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/6 - 19*z**4\/24 - z**3\/2 + 71*z**2. What is the hundreds digit of i(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276360367?\nAnswer: 193, 1431919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 + 4471 = -311*o - 10301 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, -115.92, 1\/3, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 31*m - 14. Let t be 2*3 + (-19)\/(-19). Let s be t - (2 + -2)*1. Is w(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 8*m - 35. Let j = 171\/5 + m. Which is smaller: j or -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a = 0, 2 = -n + 4*a. Calculate the least common multiple of (n - (-4)\/16)*-4 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d - 2. Let s be p(-4). Differentiate 39 + 41 - 78 + s*h**4 wrt h.\nAnswer: 72*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-1 - 4) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.43 and -1.6618?\nAnswer: 0.714574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3 - 7*i - 13*i + 2. Suppose -10 = -4*r + 22. Let m(a) = 4*a - 31. Let f be m(r). What is b(f)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9761 take away 4?\nAnswer: 9757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1113612 and -35\/8.\nAnswer: 2227224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186763998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/((2\/(-8))\/(5\/8))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/(-117) - (-20)\/9. Suppose 2*g + 35 = n, 4*n + 0*n - t*g = 110. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4\/8*-4. Is n < 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 3 + 1 + 4. Let a be q(-4). Let z = 0 + a. Solve 5 = 5*s + 3*k - z*k, 0 = -3*s + 3*k - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 18*c**2 + 40*c + 21. Let r be (-15)\/(5*12\/80). Let z be h(r). Solve -5*y + n = 6*n - 40, 3*y + 2*n = z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j - 1180 = -79*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -690208 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (2 - 0))\/(-1). Suppose v = -2*j - 12 + 254. Suppose -10 = -5*x, -4*n - 2*x = -2*n - 26. What is the highest common factor of n and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(2 + sqrt(76)*-1) + -2 + 4 + -4))**2.\nAnswer: -2160*sqrt(19) + 18396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*a - 59 = 0, 2*a + 23 = -4*y + 87. Suppose 22*q = y*q + 405. Is q + 1 + (-3 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-70))\/(1\/(-5)). Let g = 8612\/13 - 662. Let k = -49\/78 + g. Put h, 0, k in descending order.\nAnswer: h, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4 + 10. Let k(q) = q + w*q - 5*q. Let i(g) = 3*g**2 + 4*g. Let p(s) = -4*s**2 - 4*s. Let r(y) = 6*i(y) + 5*p(y). What is -4*k(v) - r(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4791641 + 4791651 + 6*l**3 + 2*l**3 - 9583292.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5*u = 344. Let i = u - -184. Solve -5*g - i = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 38*f = 39*f + 17, -l + 0*f - 47 = -11*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 416, 1012, 1974, 3380, 5308?\nAnswer: 7836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**2 + 13*i**2 + 19*i**2)*(-3 + 0 + 1).\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 941997 * 2\nAnswer: 1883994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/35)\/(-3) + 74\/(-5). Let u = -11 - a. Let j be 0*(u - 8 - -5) + 9. Solve 5*o + 3*f + j = 0, -15 = -4*f + 9*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.1. Let l = -21.9 - -23. Let n = l - 1.3. What is the third smallest value in v, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h - 8*h - 19*h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 710, -3, -22, 2, 0.\nAnswer: -22, -3, 0, 2, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -129033 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 14, l: 1}. What is prob of sequence lmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 216\/11 - 926\/55. Factor 0 + a*q**2 + 4\/5*q.\nAnswer: 2*q*(7*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3 - 51428*d**2 - 4867022*d + 15063972 = 0?\nAnswer: -25619, -98, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 2. Let g(f) = 161*f. Calculate q(g(b)).\nAnswer: 483*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 102*b + 13*b + 27 + 37*b - 27.\nAnswer: -53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + 9 + 9 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032869.\nAnswer: 17, 60757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/6*0\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2. Let h be v(1). Let y be 46 - (h\/(-1))\/(-4). Let x = y + 59. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(684)*-2*-4 + (5*2*sqrt(684))**2).\nAnswer: -136800 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 47. Let q be (-2)\/3 - 660\/9 - l. Let t = 130 + q. Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x + x)*(1 - 1 - 4*x)*(-x**2 - 2*x**2 + x**2).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 97, 17, 13, 0, -4 in ascending order.\nAnswer: -4, -3, 0, 13, 17, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -402 - -631. Let h = z - 232. Which is the third smallest value? (a) -3\/2 (b) h (c) -0.2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 8*y**2 + 7*y - 7. Let s be a(-9). Let u = s - 9. Solve -24*f - 111 + 75 - 3*f**2 - f**u = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgv when three letters picked without replacement from vvgsvsssks.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**2 + 330*z - 2226. What is h(39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 676087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6911356 is divided by 24081.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 - g + 5. Let z(n) = 6*n**3 - n + 4. Let w(i) = i - 15. Suppose -8*a = -111 + 31. Let o be w(a). Calculate o*l(j) + 6*z(j).\nAnswer: j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:47 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssmsmssss. Give prob of sequence mm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -693523.5138 and -0.1.\nAnswer: -693523.6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*y, 0*y + 49 = 3*w - y. Let s = 33 - w. Solve 4*t + 5*f + s = t, t + 2*f + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**4 - 3*q**4 + 2*q**4 + (-2 + q**2 + 2*q**2 + 0)*(-3 + 3 - 6*q)*(-7*q - 2*q - 17*q) to u*q + c*q**3 + j*q**4 + b*q**2 + s and give b.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b*o - 2*b - 83*o**4 - 2*o**3 - 145135 with respect to o.\nAnswer: -6*b - 332*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o - 3*o)*(-2*o**3 + 0*o**3 - 2*o**3) - 3*o**4 + 2*o**4 + 0*o**4 + (-1 - 1 + 4)*(-1 + 1 + 2*o**4).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 4*d - 3. Let t be y(5). Sort 5, 3, t in increasing order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - 70*z**2 + 38*z**2 - 142*z**2 to v + m*z**3 + l*z**2 + s*z and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33033)\/44)\/(-39) + -20 + (-614)\/(-8).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/12 - c**3\/3 + 23*c**2. Let m be -5 + 2*2\/1. Let g be h(m). Solve 4*n + g*n = -16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 574*o**3\/3 - 30*o**2 - 83*o. Let n be p(-30). What is n rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -56*b - 6. Let h be z(-1). Let t(a) = -a**3 - 5*a**2 - 6*a - 5. Let l be t(-4). Suppose -l*n + h = 2*n + 2*g, -5*n - g = -55. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -2, -5, 2.46, 0.15, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4306886 to 3 dps.\nAnswer: 0.431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5756143*b**3*t**3 - 86*b**2*t**3 - 2*b**2*t**2 - 14776 wrt b.\nAnswer: -34536858*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, o: 4, r: 7}. Give prob of picking 1 n and 2 o.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4 - 2558*h**3 + 2538*h**2 + 23022*h - 23004 = 0. What is h?\nAnswer: -3, 1, 3, 1278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3137989, 3137992, 3137995, 3137998?\nAnswer: 3138001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/5 + 2*4\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29389323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5 + 17. Suppose 0*v = r*v. Suppose v*h - 24 = -2*h. Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {u: 1, o: 2, f: 1, x: 1, v: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*b - 23*b - 15*b)*(0 - 2 + 3)*(-1 - 1 + 8)*(95*b - 25*b + 15*b).\nAnswer: -11220*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -443, -657, -875, -1097?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -355*u**2 + 1. Let d(w) = 232913*w. What is o(d(l))?\nAnswer: -19258205276995*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/2)\/(1\/(-1)). Suppose 5 = 5*j, -4*x + 2*x + 5*j - 29 = 0. Let b be 2\/x + 220\/24. Solve 1 = k*h + b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*o - 5*k - 12, 0 = -4*o - k + 5. Suppose u + o*u = 12. Suppose 6*v - 3*d - 984 = v, -2*v - u*d + 378 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342641066629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:59 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*b + 299443 + 753588 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q - 1\/40*q**6 - 1587\/8*q**4 - 12167\/2*q**3 - 69\/20*q**5 - 124*q**2 + 0. Factor m(d).\nAnswer: -3*(d + 23)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.969 + -6.869. Put 0.8, -2, f, -9, 2\/3 in ascending order.\nAnswer: -9, -2, f, 2\/3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -700.5672*0.118\nAnswer: -82.6669296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 556956.\nAnswer: 1\/139239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvvpvptpv. Give prob of sequence pt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 60, 90, 120, 150?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -17. Suppose -t + 0*w + u = 5*w, 4*w - 4 = 0. What is the remainder when t is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 38 + 22. What is the common denominator of (-37)\/w + 3 + -6 and 17\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*r - 40. Solve 5*m - 5*z - r = 0, -5*m = 5*z - 6*z - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3929 = 5*c - 12*c + 72560. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:41 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 1.19. Let y = p - -0.09. Which is smaller: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:05 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/25))**(-18)*(k**12\/k)**(-10) assuming k is positive.\nAnswer: k**(-3254\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 3. Let v(w) = 6*w + 8. Let r(j) = 6*v(j) - 17*z(j). Let g(a) = 42 - a + 55 - 96. Calculate -15*g(b) - 5*r(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743725006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -921*j + 403*j - 297*j in the form k + b*j and give b.\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138388036879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Let a be ((-3)\/12)\/(i\/(-40)). Suppose y - a*p = -p + 38, 38 = y + 4*p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -30.62. Let s = -0.32 + p. What is the third biggest value in 1\/9, -0.5, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 greater than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 7*t = -75. Find the common denominator of (-114)\/60 - (t + 3) and 61\/(-2)*(-2)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in 4\/7, 5, -37, -30612?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvu when three letters picked without replacement from {v: 5, q: 7, d: 3, u: 1}.\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0256 and -0.97657.\nAnswer: -0.95097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -40.3, 0, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5695 divided by 204\nAnswer: 335\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*p = 8*p - 25, 4*p - 20 = -4*h. Solve h = -4*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07645*2.\nAnswer: -0.1529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 85 = -7*n. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**3 + 147 - 40*f**3 - 130 - 19 + 365*f**2 wrt f.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41464 by 70.\nAnswer: -20732\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2 and 7\/49321.\nAnswer: 98642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.41 + -4.21. Let r = k - 0.2. Let f = 43.1 + -43. Sort f, 5, r.\nAnswer: r, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329131 is divided by 4767.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34139 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -12. Let h = 0 + u. Suppose 3*x + 2*x + 10 = h. Which is greater: -1\/2 or x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-6)\/13 + 2). Which is bigger: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113565582*k**3 - 12296511*k wrt k?\nAnswer: 681393492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/23)*((m\/m**15)\/m*m)\/m*m*((m**(-3\/16)*m)\/m*m*m)\/(m**(3\/14)\/m))**49 assuming m is positive.\nAnswer: m**(-208733\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55b (base 13) to base 4.\nAnswer: 32121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -6, 0.12, 2\/5, -11?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = -10. Suppose 0 = -p*w + 2*w + 4. Suppose w*r - 8 = -2*b + 3*r, -3*b - 4*r + 12 = 0. Solve -b - 2 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24388 and 131356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6918 a factor of 635681992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95.5 + -95. Suppose 4*j - 8 = -2*r, j + 0*j = 2. What is the third biggest value in f, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 5 + 36)*(-95 - 68 + 94)*(-f - 6 + 6) to the form c + g*f and give g.\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by -88\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 598900 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25363 - 25366. Which is the nearest to 83? (a) 5 (b) 2\/11 (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4619*l - 7 = 4621*l + 3*y, -4*y = -2*l - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 6, s: 2, c: 3, i: 6}. Give prob of sequence iccs.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -6) + -9)*6. What is the common denominator of 4\/((-40)\/(-54)) + 1 and (-1 + s)*((-36)\/(-30))\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:09 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6440\/35 - 44) + 19\/(57\/(-54))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r - 135. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 - 3616*j\/3 - 46284 = 0.\nAnswer: -38, 3654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1503*s**4 + 4*s - 1497*s**4 - 2*s + 3016*s**4 + 4*s**3 to the form u*s**4 + r + h*s**2 + q*s**3 + f*s and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10793 * 8\nAnswer: 86344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y = -29*y - 120 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -147*m**2 + 8*m + 7. Determine r(-1).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3 - 8\/9*o + 1\/9*o**2.\nAnswer: (o - 5)*(o - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5\/7 - 17240*d**4\/7 + 5240308*d**3\/7 - 5223072*d**2\/7 = 0.\nAnswer: 0, 1, 328, 3981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 3*q + 2*v, 0 = -4*q + 3*v + 356 + 167. Suppose 4*u - 5*l = 126, -5*u - 5*l + 0*l + 180 = 0. Calculate the remainder when q is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + g + 2*w - 6, 0 = -435*g + 436*g - 3*w + 29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 46*l - 73. Let a(b) = -41*b + 66. Let z(j) = 9*a(j) + 8*g(j). Calculate z(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7757744089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 13*b - 23. Let y be f(2). Let o be (8\/(-6))\/(13\/(-3)). Is o greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 41 + 23 = 0. Suppose d*x = -3*x - 132. What are the prime factors of (-62)\/4*72\/x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15724, 31449, 47174?\n\"Answer: 15725*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) - 14\/63\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -12*l. Let q(i) = 13 + 2*i + i**3 + l*i**2 + i**2 + 31 - 45. What is q(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.6 + 17.7. Let r = -421\/5 + 85. Which is the third biggest value? (a) r (b) -1 (c) m (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1972a (base 11) to base 2\nAnswer: 110101101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8545 - -8544.5. Let j = 0.3 - -0.2. Let s = j + 1.5. What is the third smallest value in s, d, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839186289 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1379905452 + -0.1.\nAnswer: -1379905452.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5839558 or -5839559?\nAnswer: -5839558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.8 + 28.426. Let k = d - 0.826. Let a = -18 - -13. What is the third smallest value in -0.1, k, 2\/5, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1900 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 13*q + 28. Let u be d(-3). What is the first derivative of -10*b**4 + u*b**4 + 16*b**4 + 1 wrt b?\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1762)\/(-5) - 8\/20. Suppose 112 - a = -4*q. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 7. Let g be r(5). Suppose 0 = 3*s - 9, -3*q + 1 = -2*s - g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46 (b) -1\/4 (c) 2\/3 (d) 1 (e) -1\/6 (f) 2\/11 (g) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let m(s) = 3*s - 2 + 0 - 2 + r. What is the units digit of m(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u + 4*t = 26, -3*u + 44 = t. Let w = u - 6. What is the remainder when 26 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -4059.8\nAnswer: 8119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + s = 117, -2*s + 10 = -0. Let c be (o\/(-5))\/(16\/40). Solve 2*v = 4*x + c, 5 = 2*v + x + 4*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13509 + 14900. Solve 6*p - f + 1433 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67, 89, 29, -155, -505, -1063?\n\"Answer: -7*f**3 + f**2 + 68*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in 0.2, -2\/13, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15020, 58938, 131742, 233426, 363984, 523410, 711698, 928842?\n\"Answer: -p**3 + 14449*p**2 + 578*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:20 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsdddssddddd. Give prob of sequence dssd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/341279 and -29\/124225556.\nAnswer: 124225556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 5. Suppose 5*p - 17 - m = 0. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q**(-5)*q))*q*q**(3\/2))**(16\/3))**(-10))**(-30) assuming q is positive.\nAnswer: q**(-800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2 + (4 - 4)). Solve -a*o = -3*s + 13 - 0, 2*o + 15 = 5*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6066 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k - 5. Let s be y(1). Solve -2\/7 - 12\/7*t**2 - 8\/7*t - 8\/7*t**s - 2\/7*t**4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 36 = 2*b, -b + 3*b = -2*n + 8. Suppose 4*a + 0*c = -4*c - b, -5*a - 2*c - 7 = 0. What is the units digit of (-1)\/((-2)\/((-8)\/a))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -20 + (-1 - -11) + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.48 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nununnnnnnznnunzxznn. Give prob of picking 1 x and 3 n.\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2*j**3\/19 - j**2\/19 + 16. Factor s(m).\nAnswer: -2*m*(3*m + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -142, -286, -476, -706, -970, -1262, -1576?\nAnswer: -1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 14) to base 7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-15*(-58)\/(-3045))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 r when four letters picked without replacement from {m: 1, v: 6, r: 3, z: 1, x: 4, q: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1657735931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssvwsv. What is prob of sequence sss?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 21, -0.2, -7, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*q + 0 - 1\/4*q**2.\nAnswer: -q*(q - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 25, -22*u + 26*u - 2838 = 2*n. Calculate the greatest common divisor of 1602 and u.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2.5. Let m be (3\/((-9)\/(-30)))\/2. Let j be (-3 + 1)\/1 + m. Sort o, j, -0.2 in increasing order.\nAnswer: -0.2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 = 3*w - 2, 4*a + 2 = -2*w. Let y(z) = -z**2 + 7*z - 10. Let d be y(w). Let p = 8 + d. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 55214 - 16301. What is the greatest common divisor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179424 or 179981?\nAnswer: 179981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 16*i + 151. Let m be a(-9). Suppose 0 = m*p + 299 - 362. Calculate the highest common divisor of 477 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4409 = -598*s + 479*s - 720 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -160*i - 1598. Let l be n(-10). Solve c - 5*k = -21, -c + 0*k + l*k - 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.05, 5, 0.1, -2\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885114873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65381 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**3 - 16527*h**2 - 39*h + 43204250?\nAnswer: -6*h**2 - 33054*h - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 2. Let v = -4 - -2. Let k be z(v). Calculate the common denominator of -52\/5 and 47\/4*(-1)\/k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3)\/2 - -2. Let i = 0.2 - 1.2. Let u = -0.2 - -0.5. Which is the closest to i? (a) u (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 213553115 (base 6) in base 7?\nAnswer: 44341106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m**5 + 74*m**4 - 36*m**3 - 702*m**2 + 1647*m - 972 = 0.\nAnswer: -36\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - (6 + -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + y**3 - 7*y**3 - 7*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 + 1.48. Let o = -2.2 - u. Which is the closest to 2? (a) 5 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -66*d**2 - 96*d - 2. Let t(q) = -q**3 - 67*q**2 - 96*q - 3. Let x(w) = 3*b(w) - 2*t(w). What is the second derivative of x(u) wrt u?\nAnswer: 12*u - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Let c(k) be the third derivative of k**6\/120 - k**5\/12 + k**4\/4 - 5*k**3\/6 + 7*k**2. Determine c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(156)*-2)\/sqrt(12).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by -5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.053 (b) -3\/8 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*d + 811, 1135 = -5*o - 5*d + 3125. Suppose 27*s - 552 = 499 - 52. What is the remainder when o is divided by s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -56. Let l(n) = -n**3 - n**2 - n + 1. Let r be l(-1). Let p = -39 - -42. Put h, -5, p, r in ascending order.\nAnswer: -5, h, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1027217*v + 9*v**2 + 1027217*v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 64 - (2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -6.16 (c) -29\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 135 + 0?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2036587 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 11700.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/115 - 337\/230. Put r, -182, 1\/6, 1\/10, -0.1 in ascending order.\nAnswer: -182, r, -0.1, 1\/10, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 399 + -397. Solve 6 = -h*c + 4*j, -j = -4*c - 4 - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -16, p = -5*y + 594. Suppose 0 = -4*z + 2*m + 140, y = 4*z - 5*m - 22. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let s be t(-2). Let m be (0*(-1)\/3)\/s. Let o = m - -14. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f + 6. Let v be x(-5). Let w be v + 1 - (8 + -6). Let l(s) = -s**3 - 4*s**2 + 3*s - 3. Is l(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -110446, -220892, -331338?\n\"Answer: -110446*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + d**4 - d**4 + (0*d + 2*d - d)*(2*d**3 - 2*d**3 + d**3).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/(8\/40). Let m be 3\/(-1*a\/926). Suppose -132 = 3*r - m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1088 and 8?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263445034*q - 20*q**3 + 17*q**3 + 263445034*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1841 + 1836. Let o = 26.3 + -28. What is the closest to o in 3, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699 is divided by 1280?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76983668 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393288 and 1344.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 42. Let l be k(15). Let t be l - (2\/4)\/((-14)\/252). What is the first derivative of 17 - 21*i**2 - t + 16 wrt i?\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04242 to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 171216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8181*w - 319*w - 256*w - 121696 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -40. Suppose 4*n - 8 = -3*o + 2*n, 20 = 3*o - g*n. Let m(a) = 4*a**2 + 1 + 2*a**2 - 4*a - o*a**2 - a**2. Determine m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 4. Let p be j(4). Suppose 2*h + p = 4. Solve -y - 3 = h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let m(c) = 2343*c + 4. What is m(r(q))?\nAnswer: -2343*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 17 = -3. Let o = 14 - 13. Suppose -3*x - 10 = 2*x. Sort j, o, x in decreasing order.\nAnswer: j, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*h - 25*h - 20*h = 40651 + 47 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11138, 11157, 11176, 11195?\nAnswer: 11214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310503.\nAnswer: 3, 29, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, z: 7, k: 1, d: 1}. What is prob of picking 1 k and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 - 9 = 0. Let h be 1\/((-598 + n)\/(-2)). Let m = h - -85\/301. Sort m, 1, -1.\nAnswer: -1, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + s - 4*s)*(-2183 - 1308 - 891) + 3*s + 4*s - 5*s.\nAnswer: -8762*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51359 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7840795200 to the nearest one million.\nAnswer: 7841000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d. Let l(y) = y**3 - y**2 - 11*y + 3. Let q(a) = -a**2 - a. Let c(s) = l(s) - 6*q(s). Let n be c(-6). Let h(j) = 2*j. Calculate n*k(m) - 2*h(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28827703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h + h)*(h**2 - h**2 - h**3)*(-2 + 7*h + 2).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 20*s**2 + 20*s + 19. Let y be z(-19). Suppose y = 3*c + 2*c - 10. Suppose 2*v = -v - o + 18, o = v - c. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - 49*(-12)\/18. Let w = a + -29. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:28 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 166*u - 58. Is 55 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.028 and -4124.\nAnswer: 115.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = 2. Calculate the lowest common multiple of 12 and k - (-3 + 7 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4\/4 + 27*k**3\/4 + 6*k**2 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23443212 (base 6) to base 12.\nAnswer: -2b6508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, -7, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c. Let o(m) = 9 - 9 + 6*m - 5*m. Calculate r(o(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29966, 59911, 89818, 119669, 149446, 179131, 208706, 238153?\nAnswer: 267454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4038.141 litres?\nAnswer: 4038141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:36 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -11*a - 88*g + 89*g, g = -3*a + 77 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:09 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(2\/23)*x*x)\/x*(x*x**(-1\/5)\/x)\/x)**(13\/6) assuming x is positive.\nAnswer: x**(2158\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795900900.\nAnswer: 2, 3, 5, 17, 156059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*o**2 + 3*g**3*o + 182*g**3 - 21*g**2*o**2 - 563*g**2 wrt g?\nAnswer: 12*o**2 + 18*o + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + w, 2*w - 3 = 4*q + 7*w. Suppose 0 = -5*c - 4*a + 84, -56 = -0*c - q*c - a. Calculate the highest common factor of 30 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 832 + -1195. Let u = p + 364.47. Let h = 1.4700552 - u. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (-2*sqrt(85) - sqrt(85))*-4)\/((sqrt(15)*2 - sqrt(15))\/sqrt(3)).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8347945 is divided by 390.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9180 and 2215620?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + -2. Let x be 12\/7 + (-4)\/l. Solve g = -0*d - 5*d + 2, 0 = 3*d + g - x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157745876 by 158062.\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -4. What is the lowest common multiple of 6 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/7 and 195\/3*(-8 - (-52692)\/6588).\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + (sqrt(448) + -2*sqrt(448) - sqrt(448)) - sqrt(448))\/(sqrt(4)*-2*6))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - 106*u**2 + 136*u - 85. Determine o(34).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.32 + -0.18. Which is the closest to -1? (a) x (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -471, -469, -467, -465?\n\"Answer: 2*w - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - ((-2)\/3)\/((-2)\/(-39042021)). Let d be x\/18 - (-14)\/(-126). Round d to the nearest ten thousand.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(396) + sqrt(396)*2) - -2*(sqrt(396) - (sqrt(396) + (-1 + sqrt(396) - sqrt(396))))) + 2)**2.\nAnswer: 432*sqrt(11) + 32092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 8*o - 9. Is 1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, z: 13}. Give prob of picking 2 y and 1 z.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5 (c) 2\/5 (d) 4122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13837*u - 11076*u**2 - 13837*u.\nAnswer: -11076*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**8\/p)\/p))\/((p*p\/p**(-2\/3))\/p))\/((p*p**12)\/(p\/p**6)) assuming p is positive.\nAnswer: p**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (-5)\/(-20) - (2 - 1927\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3215854 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4031\/5 + 32351\/40. Calculate the common denominator of i and (49\/(-70) + 4)*(-50)\/36.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 13*r**2 + 16*r + 1. What is the remainder when k(12) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s + 119*s + 8 = u + 55*s, 9*s - 36 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*c = -245*c + 104. Suppose 4*i = -18 + c. Solve 2*z = 4 + i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8) - (-17)\/2. Suppose -6 = 3*b + m. Is (-72)\/(-10) + 1\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102348526 - -3.431?\nAnswer: 102348529.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3689\/4335 - 2\/17. Do w and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1639, 3231, 4823?\nAnswer: 6415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**3 - 323. Suppose -4*a - 4*r + 5 + 3 = 0, 4*r + 16 = 4*a. Let v(j) = -3 + 3 - a*j**2. What is v(y(c))?\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**6\/120 - 3*a**4\/8 - 3*a**3\/2 - a. Let p(j) be the second derivative of n(j). What is the derivative of p(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -38\/5, 2\/2029, -4.\nAnswer: -38\/5, -4, 2\/2029, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 204381303 divided by 68127101\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32205497 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)*a)\/a**(6\/5))\/(a**(-1\/2)\/a)**(1\/20) assuming a is positive.\nAnswer: a**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*f = 511*f - 144 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -5. Let h be ((-1)\/(-2))\/((-2)\/y). What is the second derivative of -i**5 + 2*i + 0*i - h*i**5 - i**5 wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8138, -1, -15316 in increasing order.\nAnswer: -15316, -1, 8138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y**3 + 21*y - 12. Let f(l) = -2*l**3 + 5*l - 3. What is 21*f(c) - 5*o(c)?\nAnswer: 3*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c + 32 = 0. Suppose r - 5*l + 10 = 0, 0*r + 3*l = 5*r - 16. Suppose s = 4*q - 70 + 3, -r*s = 2*q - 17. Is c smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0.8. Let j = 1.8 - v. Which is bigger: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/11 in -3, 14\/263, -56?\nAnswer: 14\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 25. Suppose 21*z = 13*z - 312. Let y = 6 - z. What is the remainder when y is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h - 4. Let b(s) = s**2 + 9*s + 12. Let u be b(-6). Let m be u*(-4 - 92\/(-24)). Let o(j) = -j + 1. What is m*c(a) + 6*o(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5635248 and 22044.\nAnswer: 61987728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x)\/(x*x\/x**(9\/4)*x) assuming x is positive.\nAnswer: x**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n**(-2\/19)*n*(n**(-1\/2))**(-22))**(-2\/65))**(-1\/13) assuming n is positive.\nAnswer: n**(2\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41411207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -30254*i - 932. Let q be j(42). What is q rounded to the nearest ten thousand?\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u**2 - 86*u - 81. Give y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o**2 + 8*o**2 + 17*o + 24*o - 42*o - 2 to s + g*o + p*o**2 and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265294072 to the power of 1\/3, to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -1.757?\nAnswer: -0.14056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h + 31*h - 6 = -2*o, -3 = -3*h + o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 3, 1, 0.26, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 31, 1, 2964, 13 in decreasing order.\nAnswer: 2964, 31, 13, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p\/(p\/p**(-5)*p))\/(p**0)**20 assuming p is positive.\nAnswer: p**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(52))**2 + -4 + (1*sqrt(832) - (sqrt(26)\/sqrt(2) + 4)).\nAnswer: 7*sqrt(13) + 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.93, -0.00931?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 11. Let l be v(-5). Is (139 + -9)*l\/2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - 1 - -35)*39\/2. Suppose -2*y - w = -a, -10*w = -6*w. List the prime factors of y.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 + 16345*r**4 + 38116*r**3 - 32688*r**2 - 65344*r + 43568 = 0. Calculate r.\nAnswer: -5446, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254 times 0.281?\nAnswer: 1757.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 11*l + 3*g + 10 = 0, 3*l - 5*g = 18. Let t = 0.73 + -0.52. Which is the biggest value? (a) t (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2911, 5125, 6679, 7573, 7807, 7381, 6295?\n\"Answer: -330*o**2 + 3204*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31928 + 31928. Let m = -2 + 5. Is m smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7523167*t**6 - 1987375*t**2 wrt t?\nAnswer: 902780040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-4)\/(-4)))\/((-2)\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938232051?\nAnswer: 7, 276890293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 174 = -6*q - 18*u, 34 = q - 3*u. Let f = -33 + 103. What is the greatest common divisor of q and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let h(g) = 1. Let y(i) = -6*h(i) - 2*k(i). Let c be y(6). Suppose -c*q + 30 = q. Solve 5*p = -q + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 540, 805, 1066, 1323, 1576, 1825?\nAnswer: 2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/12 - 7*c**3\/6 + 5*c**2\/2 - c. Let o(y) = -y**2 - 9*y - 25. Let i be o(-3). Calculate g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 3*q**2 - 10*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 0*j**2 + 2 - 1)*(-4 + 3 + 3)*(-11 + 12*j - 8*j + 2*j).\nAnswer: -36*j**3 + 66*j**2 + 12*j - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78418, -78417, -78416, -78415?\nAnswer: -78414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1021669 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1700) - (sqrt(1700)*-3 + 1 + sqrt(1700) - sqrt(1700))) + sqrt(1700)) - (-3 + sqrt(1377) + -4)*2)**2.\nAnswer: 2904*sqrt(17) + 296329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028416775 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255058149 and 4206.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 6:02 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13179 - -12?\nAnswer: 13191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*b + 74*b - 169*b - 20792 - 1978 = 0 for b.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 40, 16, -16, -56?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 4}. What is prob of sequence nn?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 7:03 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -39 (c) -1.71 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15975853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/5 of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 4*x + 57. Let r = -543 - -548. Let m be z(r). Which is smaller: 60 or m?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*w - 17, 16*c = 2*w + 14*c + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34007.292924 and 241.\nAnswer: 34248.292924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5242 is divided by 340.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 120 = 80. Let w = 103 + m. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 + 144. Which is the fourth biggest value? (a) t (b) 0.3 (c) -4 (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/42*-1*(-64)\/(13568\/477)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 67 + 1351*d - 452*d.\nAnswer: 899*d - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24 and 41.3.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42.2, 784, -2?\nAnswer: 42.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12212209*v**5 - 3*v - 326005 wrt v.\nAnswer: 244244180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + a + 2 - 2*a**2 - 5 - 3*a**4 to g*a**3 + r*a**2 + w*a**4 + n + o*a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1581*t**5 + 1647*t**4 - t**2 - 200920682*t wrt t.\nAnswer: 31620*t**3 + 19764*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5264 and 218268.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1579566031 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 0 (c) -9 (d) -3 (e) -143 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from apnnnrdnda.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:16 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 19, b: 1}. What is prob of picking 1 b and 2 v?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.32 and -69?\nAnswer: -22.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37817.12ml?\nAnswer: 37.81712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 154 = -66*o - 340 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 34*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 559\/345 + -33\/115. Sort 0, -3, 15, z.\nAnswer: -3, 0, z, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -c - 5 - 7, 0 = f + 2*c - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/2)\/(((-210)\/504)\/((-20)\/36)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 102. Suppose 13*f - v*f - 100 = 0. Let r(y) = y**2 + 20*y + 5. Let a be r(f). Solve -3*k - 8 = -2*k - g, -a*g = -k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 0*a + 22 = g, 3*a - 5*g - 3319 + 6634 - 3291 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13103, 0, -4, -3, 9 in ascending order.\nAnswer: -4, -3, 0, 9, 13103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1046640 = -5*b, -3*b = -5*l - 0*b + 5233200. Let q be (-12)\/(-72) + 9879821\/6 + 3. Let k = l - q. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from {m: 5, w: 13}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*k = -0*k - 71, -3*k = -4*h + 97. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -16*b - 7*b + 9 + 54*b + 30*b. Let k be y(4). Suppose 9*x - 233 = k. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 338237930 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 260.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 318 times -179367\nAnswer: -57038706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*p)*(3*p - 3*p + 2*p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018661 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:40 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqeeqteee. Give prob of picking 1 q, 1 t, and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245\/6 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12165211 to the nearest integer?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 z when three letters picked without replacement from {g: 1, z: 2, k: 4, p: 9}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 18.\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 10*a + 2. Suppose -8*y = -y + 35. Let z be (-66)\/4 - ((-5)\/(-2))\/y. What is the tens digit of n(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:07 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -200765, -200750, -200735, -200720, -200705?\n\"Answer: 15*b - 200780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 4*x**2 + x. Let w be j(4). Suppose -2*l + w = -2. Suppose 0*s = l*s + 3. Put 4, -3, s in increasing order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**4\/12 - 2*s**3\/3 - s**2. Suppose -2*i + 12 = 3*r + 2*r, -24 = -4*r + 2*i. What is a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.9 and 112.968.\nAnswer: -440.5752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3202 (base 5) to base 13\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1026*u. Let a(z) = -2*z**2. What is a(j(q))?\nAnswer: -2105352*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(4) - sqrt(32)\/sqrt(200)))\/(sqrt(972) + -4*3*sqrt(972)).\nAnswer: -5*sqrt(2)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + r)*(226*r**2 - 226*r**2 + 4*r**3) + 3*r**4 - 4*r**4 - 4*r**4.\nAnswer: -17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -15*b + 52 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*u + 4*j - 0, 0 = -4*u - j - 12. What is the common denominator of 79\/6 and 2*(-109)\/32 - u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 2. Let w be n(-4). Let y be (2 - 4)*w\/4. Suppose 61*d - 22*d = 0. Solve 0 = -y*m - d*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*(s**(-1\/7)\/s)\/s)\/(s*s*s*s\/s**(2\/35)*s*s**2) assuming s is positive.\nAnswer: s**(-493\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/345*-23*10. Solve 5*x - 6 + j = -2*c, 2*x - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862747985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/104)\/(3\/156)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 329 + 3*m**2 - 253.\nAnswer: 3*m**2 - 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 5. Let p = -12 - -10. Let k be h(p). Let y(v) = -2*v + 2. What is the remainder when 30 is divided by y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 q when three letters picked without replacement from dbqmbffqlmqqq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 9*j**2 + 6*j - 10. Let v be l(-10). Let g = 31 - v. Sort g, 2, 12 in descending order.\nAnswer: 12, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:36 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:29 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = 3, -4*d - 5*b + 77 = 0. Let n be 77 + 3 + (-6 - -1). Let t = n - 39. Calculate the greatest common factor of t and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*o - 14251, 0 = -11*o + 7*o - 3*x + 14237. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 * 1\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 3*t**3 + 37 - 31)*(-1 - 3 + 6).\nAnswer: 6*t**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-219)\/146*13100\/(-6). Which is bigger: c or 3274?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9bc7 (base 13) to base 2.\nAnswer: 101010100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -111 - 73. Suppose -16 = -5*p + 4*p. What is the remainder when u is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Suppose -40 = -z*p + p. Let h = p + 15. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 21*l + 3*l as p*l + q and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -4 in descending order.\nAnswer: 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1190867 divided by -4.\nAnswer: -1190867\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**3 + 6*j**3)*(-j + 3*j - 3*j + 1).\nAnswer: -9*j**4 + 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*v + 808*v = -2037 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005992 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*z = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 380*w**2 + 6435*w - 427. Give h(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 79 + -18 + 23 + -22 + 4 + 5 + -2\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-245)*5)\/(6\/(-28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 8. Let j be l(-4). Let h be ((-6)\/j)\/(12\/32). Let d(g) = -5500001*g - 4. Let y be d(h). Round y to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 1.3. Let h be 3*1 + 23\/(-8). Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**3 - 2*f**2 - 3*f - 4. Let x(d) be the first derivative of -9*d**4\/4 + 5*d**3\/3 + 3*d**2 + 9*d - 585. Give -5*q(j) - 2*x(j).\nAnswer: -2*j**3 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 20, 1448 = 2*q - 3*s - s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -262, -303, -346, -391, -438?\n\"Answer: -c**2 - 38*c - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2193 divided by -4762.\nAnswer: -2193\/4762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 3 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 2 j when four letters picked without replacement from {r: 1, v: 1, e: 9, j: 2}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + 111. Suppose 0 = 3*i + 6*i + h. What is the units digit of 2950\/70 + 2\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -29 (b) -1 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.257 - 24.743. Let s = -116.45 + 142. Let k = s + g. Round k to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 31 = u + 63 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20*b**2 - 2. Let d(g) = 1199*g**2 - 121. Suppose 24*u + 5082 = -18*u. Calculate u*j(v) + 2*d(v).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737 = -5*x + 2*k - 0*k, -4*k = -4*x + 592. Let i = x - -1. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*22\/(-4)*2. Let j = v - 18. Sort j, -0.1, 1 in ascending order.\nAnswer: -0.1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/5 (b) 0 (c) -2 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53081.48 micrometers to millimeters.\nAnswer: 53.08148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*s = -670*s - 310*s + 50490 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56790880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 957 divide 12642531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 10199 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 10*k + 32 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 9*i**7\/280 - 3*i**6\/20 + 3*i**5\/10 - i**4\/3 + 2*i**3\/3 - 1. Let s(d) be the third derivative of q(d). Factor s(z).\nAnswer: (3*z - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 - 5760c?\nAnswer: -57668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzzx when four letters picked without replacement from xxlxlzxzzlzzllz.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14\/19, 136, 43\/13 in ascending order.\nAnswer: -14\/19, 43\/13, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -120969\nAnswer: 24193.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9 + (-36)\/(-81).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -473 - -199. Let r = -273.999999556 - y. What is r rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21866419?\nAnswer: 97, 225427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-33)\/g**20*g**(-2\/47)\/(g*g*(g*g*((g\/(g*g**(2\/91)*g))\/g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-231046\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 - 3*s**2 + 6*s - 6. Let v(g) = -g**3 + 4*g**2 - g + 1. Let f(c) = 2*c**3 - 7*c**2 + 2*c - 2. Let d(x) = 3*f(x) + 5*v(x). Give 6*d(k) - w(k).\nAnswer: -k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 39*p**2 + p - 2. Let k be w(1). Suppose 6*r + 0*r - 114 = 0. Let m be (-6 - -2)*r\/(-2). Calculate the greatest common divisor of m and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*z - 8, p - z - 5 = 0. Solve -p = 5*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 627919, 7, 0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 - m**5\/12 + 7*m**4\/24 - m**3\/2 - 7*m**2. Factor a(q).\nAnswer: (q - 3)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 3\/4 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((15 - 9 - -20) + (-3 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 219094.41us?\nAnswer: 0.0036515735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16483958 + 15316042. Round o to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12*g**2 + 6*g + 6. Let j(a) = -7*a + 204. Let f be j(30). Let b(m) = 11*m**2 + 5*m + 5. Determine f*b(u) + 5*r(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 230 (b) 2 (c) 5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*p**2 - 31688*p + 278895?\nAnswer: -10*p - 31688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 12}. What is prob of sequence zzbz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24990106 is divided by 55.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31980 and 4100?\nAnswer: 159900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -37. Suppose r = i + i. Suppose 0 = -95*g + 98*g - i. Solve -3*c + 20 = g*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.117, -35, 5, -7, 1 in descending order.\nAnswer: 5, 1, 0.117, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 - -239. Suppose -3*j + 5*f + 13 = -19, -5*f - 5 = 0. Calculate the remainder when u is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 22 = z + 17, 0 = 5*n + 4*z + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37209632 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 79. Suppose -27*k - 1 = -o*k. Let c(b) = 15 - b - 15 - 1 - b**2. Let z(q) = -5*q**2 - 3*q - 6. Give k*z(y) - 3*c(y).\nAnswer: -2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 2. Let n be y(-5). Let x be 0\/1 + -550*n. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 16005\/(-459). Let p be 1 - (-5 - 520\/18). Let o = p - y. Are -1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - l**3 - 3)*(2*l - 2*l + l) - 4*l + 4*l + 2*l**4 - l**4 - 2*l**4 + l**4 + 2*l**4 - 24*l**3 + 3*l**2 + 24*l**3.\nAnswer: l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 + 175030*s + 1531775045 = 0.\nAnswer: -17503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 3:33 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**17\/g)*g)\/(g*(g\/(g\/(g*g**(1\/2)*g*g)))\/g) assuming g is positive.\nAnswer: g**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -6\/11, 3\/29, -15 in decreasing order.\nAnswer: 3\/29, 0.09, -6\/11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -152739636373 and 0.18.\nAnswer: -152739636372.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76)\/(sqrt(4) + sqrt(24)\/(sqrt(6) + 2*sqrt(6) - sqrt(6))) - (-4 + 0 + sqrt(19))*3).\nAnswer: -36 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 497*d + 236. Calculate p(4).\nAnswer: 2224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**5*n)*n**(-2\/5)*n**6)**(-50))**(7\/4) assuming n is positive.\nAnswer: n**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 2. Let h(c) = 5*c - 10. Suppose -4*m + 17 = -3*m. Let x = -28 + m. Give x*i(n) + 2*h(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238*h**2 + 294*h.\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335841647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 459.6056*0.65\nAnswer: 298.74364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 125*l + 81. Let r be x(22). Suppose -4*h + r + 589 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58.04 times -0.02\nAnswer: -1.1608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-55)\/(-90)*-3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*4\/(-56)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - -25. Let i(g) = g**3 - 4*g**2 - 7*g. Let d be i(6). Calculate the highest common divisor of b and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1723022 and 6.\nAnswer: 5169066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/12 + 2\/(-3). Suppose 5*r = 25 - y. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 99999570?\nAnswer: 99999570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ususjucsscccjk. What is prob of picking 2 c, 1 k, and 1 s?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10 = -c. Let z(f) = 2*f**2 - 47. Let d be z(-5). Suppose -d*v - 32 + 47 = 5*b, v = 0. Solve 22 = -c*i - 4*l, 3*i + l = -b - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94929 + 94931.10746. Let u = -0.0268 + 2.1368. Let z = u - h. Round z to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/(((-1216)\/240)\/38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -73*m + 0 + 2*m**2 - 1\/3*m**3. What is p(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3820*u**5 + 7655*u**4 + 30*u**3 - 7640*u**2 - 3850*u - 15 = 0.\nAnswer: -1, -3\/764, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1440, -2878, -4316, -5754?\n\"Answer: -1438*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 + 494\/117. Suppose -c*n = -4, 2*n = -4*l - 181155 - 38843. What is l rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**3\/6 + n**2\/2 + 831*n. Let g(y) = 3*y**2 - 6*y**2 + 2*y**2. Give v(g(j)).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4108 and 22594.\nAnswer: 45188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-173 + -1)*(-2)\/3. Let h = -61 + a. Suppose 2*w + h = 7*w. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*b + 29*b + 31*b - 35*b + 32*b + 37*b + 2*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - g**2 - 8*g + 6. Let k be a(3). Put -42, 4, k in descending order.\nAnswer: 4, k, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {b: 10, p: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 v when three letters picked without replacement from {q: 1, r: 5, s: 1, v: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 392*f**2 - 2214*f - 7379. Calculate a(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2736043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*n = 840, -2*o + 65 - 377 = 4*n. Which is greater: o or -165?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 p when three letters picked without replacement from ttptkttttkp.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11638655, -23277297, -34915927, -46554545, -58193151, -69831745?\n\"Answer: 6*a**2 - 11638660*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (-15 - (-10 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:45 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15366 and 215124?\nAnswer: 215124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108632373 is divided by 4085?\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -40. Factor 4*r**2 - l - r**3 - 11 - 3*r + 17.\nAnswer: -r*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51446, 5, 4, -19, -7.\nAnswer: -51446, -19, -7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 - 6*n**3 - 3 in the form w*n + z + h*n**3 + i*n**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*v = 10*v. Let j(f) be the third derivative of -1\/100*f**6 + 0*f**3 + 0*f + 11\/150*f**5 - 1\/10*f**4 + v - 6*f**2. Factor j(n).\nAnswer: -2*n*(n - 3)*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4 = 2*z, 5*q - 34 = -2*z. List the prime factors of (128\/q + 4)\/(4\/12).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 8046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846013792 to the power of 1\/2, to the nearest integer?\nAnswer: 53348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5*d**2 + d - 2. Calculate h(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/17 + 3964*r**2\/17 + 404998*r\/17 + 401036\/17 = 0.\nAnswer: -1874, -107, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -297*j**5 - 162*j**4\/7 + 792*j**3 + 5360*j**2\/7 + 1616*j\/7 + 96\/7 = 0.\nAnswer: -2\/3, -6\/77, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgf when three letters picked without replacement from nzgkffgz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 29*r + 11. Suppose -4*x - 11*x = -60. Let c(q) = 10*q + 4. Determine x*u(l) - 11*c(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3\/5 - 154*z**2\/5 - 1582*z\/5 - 752\/5 = 0. What is z?\nAnswer: -8, -1\/2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 2*y - 1. Let n be q(-2). Let r = -10 + n. Solve -5 = 2*k + 1, 2*o - r = k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 60*y + 755. What is the remainder when j(67) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86868)\/2584 - -30) + 2\/17?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 42*k**2. Let y(p) = -4*p. Give o(y(v)).\nAnswer: 672*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 13) + -5 + (-2 - -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -21.035. What is o rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t - 1. Let b(x) = 15*x - 2. What is 6*b(w) - 5*s(w)?\nAnswer: 15*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625, -626, -627, -628, -629?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6550493ns in seconds?\nAnswer: 0.0000000006550493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/7 - 1590*t**3\/7 + 38*t**2\/7 + 30270*t\/7 + 47700\/7 = 0.\nAnswer: -795, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r. Let y(k) = -k**3 + 18*k**2 - 8*k - 142. Let s be y(17). Solve -5*p - 5 = 0, 4*l + s = -r*l + 5*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 2*r**3 + 5*r**3)*(-472*r + 970*r - 483*r + 7).\nAnswer: 15*r**4 + 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-150)\/625 - (-1)\/5. What is the second biggest value in 143, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-8))\/(-3 - -1))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566?\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - ((sqrt(117) + sqrt(117) + sqrt(117) + (sqrt(117) - 2*sqrt(117)) + sqrt(117) - sqrt(117)) + sqrt(117)))*3)\/((sqrt(81)\/sqrt(3))\/sqrt(3)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 64 + c**3 - 2*c - c**2 - 5*c**2 + 65 - 96 - 4*c**2. Let y be j(10). Solve l - y = 3*f + 2*l, -f = -5*l - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226759 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -325 (b) 3\/16 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79166019*k - 2*a = 79166020*k + 3 - 7, 4*k - 2*a + 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**2 - a**2 + 3*a**2)*(-4 + 1 + 2) - 1242*a**2 + 1967*a - 1967*a in the form x*a**2 + d + y*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -127, 10, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5737 is divided by 5201?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*s + 29 = 0, 15953*s + 45 = 20*k + 15956*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28339*u**2 + 28339*u**2 - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 102319 - 107947. Let d = -5109 - 15129. Let i = d - q. Round i to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014046094 to five dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8184719g?\nAnswer: 818471.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 374.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14735068 to the nearest integer?\nAnswer: 3839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2282.243 weeks to days.\nAnswer: 15975.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k - 1. Suppose 10 + 8 = 6*a. Suppose 4*f = 2*h - 3*h + 21, -5*f + a*h + 5 = 0. Suppose 4*c - 16 = f*i, -5*i - c = -0*c - 10. Determine r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*l + 37, -4*l - 3*p - p + 56 = 0. Solve 3*n = 5*a - l, 4*a + 0 = -5*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 1378631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -11 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g\/(g*g**0)*(g\/((g**(2\/3)\/g)\/g*g))**(2\/7) assuming g is positive.\nAnswer: g**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2 + 3*f + 3. Let y(x) = 14*x**2 + 7*x + 5. Let w(b) = 7*g(b) - 3*y(b). Let a(m) = -6*m**2 - 5. Determine 6*a(d) + 5*w(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -8)\/((-2)\/63). Let t = p - -268. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 + -171. Let l = 512 + -573.8. Let r = l - x. Which is greater: 0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 12, 25, 38?\n\"Answer: 13*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = 12*p - 525. Put 5, p, 1221, 1 in descending order.\nAnswer: 1221, 5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271639, 271637, 271635?\nAnswer: 271633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1 - -2) + -2. Let y be ((-3 - h) + 5)\/(-1). What is the units digit of 1\/y + 21\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c + 35. Let y(l) = -4*l + 29. Let v(t) = -5*q(t) + 6*y(t). Let x(b) = -3*b - 5. Give 4*v(p) + x(p).\nAnswer: p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3371 in -6, -41\/4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 - 84*f**2 + 160*f - 2 wrt f.\nAnswer: 40*f**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 6*m + 2. Let z be r(6). What is the closest to z in -2, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -998515, -1997029, -2995543, -3994057, -4992571, -5991085?\nAnswer: -6989599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 2*s - 4. Let x = 6 - 4. Let n(j) = 1 - 3 - j**x + 1. Let q(v) = f(v) - 4*n(v). What is the second derivative of q(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 122. Which is the second smallest value? (a) 1\/2 (b) q (c) 2\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -86. Let y = j - 35. Suppose -15420 = -y*u - 4*u. Round u to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - i - 1. Suppose 12 = -2*t - 2*m, -t + 16 = -3*m + 2. Let u be p(t). Find the third derivative of 2*h**u + 0*h + h**2 + 0*h wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:59 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1104 and 76544?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 512*l*m**2 - l*m + 105*l with respect to m.\nAnswer: 1024*l*m - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 11*r**2 - 14*r - 27. Let g be d(-12). Sort 3, g, -14 in decreasing order.\nAnswer: 3, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/114 - (-13)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2. Let y(w) be the third derivative of 0*w + 1\/12*w**4 + 0*w**3 + 3*w**2 + 0. Determine y(h(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 14*x**2 + 94*x + 20. Let n be p(19). Which is bigger: 22 or n?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 - 17*r**2 + 19*r - 16. Let j be t(-14). Suppose -546 = 8*f - j. What are the prime factors of f?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*j - 6*j**4 + 25*j + 67 + 31*j wrt j.\nAnswer: -24*j**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 10. Let v be m(-14). Put -2, 3, v in increasing order.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34016344 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/318 - 62\/228.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23000033 - -443?\nAnswer: -22555150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*s - 9 - 9 = 0, 5*s = 10. Let w(u) be the third derivative of -u**4\/8 + 2*u**3 - 7*u**2. Let f be w(l). Solve p + 0*p - 5 = f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) 2 (c) 432 (d) -1\/3 (e) -1\/11 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1623020 (base 8) to base 14\nAnswer: -c2a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 840 = -128*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -485 (base 12) in base 7?\nAnswer: -1655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -5819, 351, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8316)\/15246*(-66)\/(-135).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:32 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 2*q**2 - 2*q**2 + q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 + 120 = 44*c + 42*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.140651193 take away 80?\nAnswer: -79.859348807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-5)\/(-2))\/(12*(-182)\/336).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 + (-49)\/7)*(-2)\/(-6). Is 3\/2 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-7)\/(-3*4\/(-6)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*2\/1)\/(-1). Let l = z + 5. What is the third derivative of j**2 + 4*j**l - 4*j**3 - j**3 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u + 2. Let k be w(-1). Suppose 3*b + k*b - 10 = 0. Suppose 0 = -b*o - 2*o + 7*o. Which is smaller: o or 1\/54?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15670306?\nAnswer: 2, 7835153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-7)\/((-7)\/(-18)). Let n = -15 + v. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00224 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -8633.\nAnswer: 2589.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = -591 + 2211. Calculate the greatest common divisor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-75))\/((84\/(-40))\/(-7)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 821*h + 4 + 46 + 6*h - 42 in the form q + j*h and give j.\nAnswer: 827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 6*w - 15. Suppose 3*g - 32 = -3*k + 4*g, -20 = -3*k - 5*g. Solve 2*i + k = i - 3*m, -w = 2*i + 4*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + o - 3 - 6, -16*i + o - 2019 + 1992 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1715 - 819 - 7937*p + 6489 wrt p?\nAnswer: -7937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7}. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1122725 and -1.861104?\nAnswer: 1122726.861104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 9*x + 4. Let h be v(9). Suppose h = -3*d + 4*d. Suppose r - 2*r - 3*i - d = 0, -3*r + i - 2 = 0. Let a(w) = 5*w**2 + w + 1. Calculate a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -2, 0.7, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-15)*(-6)\/4. What is the remainder when 18 is divided by (1 + -8*i)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -199424.122?\nAnswer: -199424.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 + -228. Which is the smallest value? (a) 4 (b) j (c) 1\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -356, -357, -358, -359, -360?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9474799 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.66 and 22?\nAnswer: -36.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.09886 - 0.09886. Which is the biggest value? (a) 0 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 5*v**2 + 3*v + 1. Let g = 89 - 92. What is l(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 8 = -4*q. Solve 2*b = 3*b - q*t - 6, 4*b - 3*t = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 232. Let n(v) = -16*v - 695. Let j(a) = 17*i(a) + 6*n(a). Let f be j(-21). Solve 0*q = k - f*q + 29, 5*k = -4*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 + 150352*v**3\/5 + 753544176*v**2 + 31475539830592*v\/5 + 62936009980448\/5.\nAnswer: 2*(v + 2)*(v + 25058)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -2*m**2 - 18. Determine q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*d - 547 = 0, -7*r = -12*r - d + 660. What are the prime factors of r?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 2640.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*12004.\nAnswer: -7202.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*g**2 - 12\/7 - 2\/7*g = 0 for g.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283265475?\nAnswer: 3, 5, 17, 29, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -39*o**3 - 792*o**2 + 1569*o - 780. Let t(r) = -110*r**3 - 2375*r**2 + 4706*r - 2340. Let z(q) = 6*t(q) - 17*x(q). Factor z(m).\nAnswer: 3*(m - 260)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = 1576 + 1306. Let j = -237 - y. Calculate the common denominator of j and -26\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + (-3)\/((-60)\/(-175)). Let m be (-35)\/f + 0\/35. Is m greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/13, 0.4, 4, -2?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 14. Suppose 0*f - 5*f + 145 = 2*s, i = f - 5*s. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3) + (-4)\/(-6). Let k(o) = o**3 - 1. Let w(n) = 3*n**3. Let b(s) = -s**3 + s - 1. Let m(g) = 2*b(g) + 2*w(g). Give i*k(j) - m(j).\nAnswer: -2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010111101 + -100001110010?\nAnswer: 11001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -13602*u**2 + 12*u - 10. Let a be l(5). Round a to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000064852 to seven decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2227 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:10 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175878302 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 9:01 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3924*i**2 + 3924*i**2 - 2*i - 73*i**3 to the form d*i**3 + l*i + f*i**2 + z and give d.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174359 by 5.\nAnswer: 174359\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8247176 divided by 121282?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 + 2*h - 5. Let a be o(5). Suppose 2*w = a*c, 5*w - 3*c - 17 = c. Solve w*f + 2*v = 18, -5*f = 3*v - 0*v - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 1:23 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 8*z + 1. Let h be t(9). Let m = h + 7. Let u(s) = s**3 - s**2 - s - 2. Let j be u(0). Which is bigger: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087 times 586.815?\nAnswer: 51.052905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzpkelzbblbk. Give prob of sequence bblp.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 16\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*d**3*q**2*z + 23*d**3*z + 2*d*q*z - q**2 + 2*z wrt q?\nAnswer: 30*d**3*q*z + 2*d*z - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 13\/3 (c) 8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 130946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1619.002728 microseconds?\nAnswer: 0.0000000026769225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -804*i**4*y - i**4 - 303*i**3*y**3 + 63*i**2*y**2 + 29*i*y**3 - 41*i wrt i?\nAnswer: -19296*i*y - 24*i - 1818*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4 - 66855*b**3 - 13548190*b**2 - 698376660*b - 684895320 = 0.\nAnswer: -13166, -102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*((-3 + 7 - 2)*(2 - 5 + 6) + 1 - 1 + 2)*(a - 6*a + 0*a).\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58184 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/49 and (-147)\/(-40) + (-27)\/(-135)?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/4 + 131*t**4\/4 - 128*t**3 + 127*t**2.\nAnswer: -t**2*(t - 127)*(t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.073 and -390.\nAnswer: 28.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3813 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -98\/3. Which is the second smallest value? (a) -0.4 (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18630 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913004?\nAnswer: 2, 228251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010010011101101111110000 + 11?\nAnswer: 100010010011101101111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*s**4 + 912376*s**3 - 119*s**2 - 69*s - 16 wrt s.\nAnswer: -624*s + 5474256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 12:19 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 115.6964 centuries?\nAnswer: 11.56964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 2*d**5 - 4*d**5 + (3 + 2 - 3)*(-4 + 4 + 3*d**5) + (d**4 - 3*d**4 + 0*d**4)*(-d + 2 - 2).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1353876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2))**(2\/71)\/(m**0)**(-3\/2) assuming m is positive.\nAnswer: m**(-1\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -1001, -1341, -1619?\nAnswer: -1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-l + 0*l + 0*l**2 + 3 + l**2).\nAnswer: -2*l**2 + 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14165 - -99367\/7. Let w = 117 - 86. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 31\/122 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -35. Put 4, l, -30 in increasing order.\nAnswer: -30, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*l**6 - 8*l**5 - 18995*l**3 - 459869*l**2 + 137.\nAnswer: 7560*l**3 - 480*l**2 - 113970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32085 + j + 32085 - 3*j - j + 8*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75990 - -2?\nAnswer: 75992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1287 and 0.19.\nAnswer: -1286.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 92065688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/t**3*t*t)\/t*t*t)\/t*t**(3\/5)\/t*t)**(-8)\/((t\/(t**(-7)\/t))\/t**(2\/5))**38 assuming t is positive.\nAnswer: t**(-1738\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.515 + -8.895. Let r = j + 1.38. What is the third smallest value in 0.9, 2, -0.2, r?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3163.6 * 0.3\nAnswer: 949.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, b: 1, n: 9}. What is prob of picking 1 b and 1 n?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -44*a**3 - 273*a**2 + 2307*a - 653. Let y(f) = -23*f**3 - 136*f**2 + 1154*f - 326. Let q(d) = -6*k(d) + 13*y(d). Factor q(o).\nAnswer: -5*(o - 4)*(o + 8)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (342\/10)\/3 + -6)\/((-22)\/110).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1400.9 + 830.2. Let n = h + 661. Let m = n + -86. What is m rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 times 89\nAnswer: -6853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61259 (base 11) in base 9?\nAnswer: 145665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 j when three letters picked without replacement from jaduaduaa.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62*-123*(-1)\/6. Suppose -s = i + i - 637, n = 4*i + s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2515*x**3 - 3*x**2 - 6*x - 2520*x**3 - 2524*x**3 + 7562*x**3 + 6*x.\nAnswer: 3*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 237864 divided by 12\nAnswer: 19822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + o**2. Let a(d) = 4*d**2 + d - 1. Let u be a(-2). Let p = -9 + u. Let c = 55 + -58. Let i(v) = -v**3 + v**2. Give c*x(h) + p*i(h).\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 923 = 1663. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/6 + -2 - 4\/12. Suppose -3*k + 9 = -q. Suppose 0 = x + u - k*u - 51, -5*x + 5*u = -260. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 13*l**2 - l - 13. Let b be s(-13). Solve 3*i - 12 + 3 = b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g + 25663 = 38*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - 1. Let q = -1.969 + -0.031. Let r be (51\/85)\/(7\/(-5)). Which is the nearest to 0.2? (a) r (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 130?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 581369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120828 > 120828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 13*r - 12. Let w(i) be the first derivative of 7*i - 6 + 1\/2*i**2. Determine w(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358608, 1434413, 3227420, 5737629?\nAnswer: 8965040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -5.1 (b) 4 (c) 0.22 (d) -6 (e) 0.3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:22 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1413119305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87.4 - 81.4. Put 3, c, -2\/19 in decreasing order.\nAnswer: c, 3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -j + 3*h, 5*h = -2*j + 4*h - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((-1)\/(-6)). Let v(c) = 4*c**3 + 4 + 0 - 3*c**u - 6*c**2. Let d be v(4). What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 4*u**2 + 43*u - 5. Determine l(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14684423231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1648761.7500074 - -1648761. Let h = -0.4 + -0.35. Let i = k - h. Round i to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.862 - 0.118. Let y = f + 3. Let j = y + 0.06. What is j rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 142*f - 5 + 6)*(5 - 5 + f) to the form y*f**2 + q*f + d and give y.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 87282246.\nAnswer: 349128984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (68\/(-3))\/1*3\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/10675 and 71\/12200.\nAnswer: 85400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1990858?\nAnswer: 1\/1990858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:38 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -1b850?\nAnswer: -1b820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsmmpxpsmmmp. What is prob of picking 2 p and 1 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 + 2*k**2 + 2*k - 1. Let m(x) = 5*x**3 + 3*x**2 + 3*x - 2. Let i(c) = -8*f(c) + 5*m(c). Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k - 0*c + 3*c, 0 = -k - 4*c - 8. Let y(o) = o - 3*o - 3*o + 6 + k*o. Suppose -3*t + 0 + 12 = 0. Determine y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and 5719996.\nAnswer: -234519836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:41 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**4\/3 - 2*k**3\/3 - 2*k - 3. Let l(x) be the first derivative of h(x). What is the second derivative of l(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*d - 722*d = 943 + 3557 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2226 + 2228. What is the closest to -1\/4 in r, 3, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28049 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let q(t) = t. Suppose 2*r = 1 + 7. Let k(z) = 7*z. Let h(w) = r*k(w) - 36*q(w). Calculate v(h(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3)*(-5 + 6) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a3481 (base 11) in base 7?\nAnswer: -6521211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 5*u + 2. Let f(q) = 2*q**2 + 9*q + 3. Let d(l) = -5*a(l) + 2*f(l). Let m be (-7)\/2*(-1010)\/35. Suppose 20*p + m + 39 = 0. Determine d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 104*x\/3 + 616\/9.\nAnswer: 2*(x + 2)*(x + 154)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 125.\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2953, -5918, -8883?\nAnswer: -11848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 56*y**2 - 743*y + 549. Give u(67).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 4*n + 5*n)*(4 - 2 + 0) + 3*n - 3*n + 4*n + 0*n + 8*n + 9*n to the form p + a*n and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501126?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5*j**2 - 7 + 18.\nAnswer: -5*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88410 and 980.\nAnswer: 1237740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -217, -506, -911, -1432?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 71*a - 714\/5.\nAnswer: (a - 2)*(a + 357)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -269 and -278 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 2*i**3 + 34*i**2 - 30*i.\nAnswer: -2*i*(i - 3)*(i - 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275167 is divided by 14482?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -93*v + 613. Let x(q) = -16*q + 105. Let n(t) = 6*l(t) - 35*x(t). Let p(u) = -4*u**2 - 22*u. Give n(p(z)).\nAnswer: -8*z**2 - 44*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15625\/39 or -402?\nAnswer: -15625\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 464*o - 456*o + x, -5*x = -3*o - 64 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27675144 - -48?\nAnswer: 27675203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -194870?\nAnswer: 194871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 5. Let i(z) = 1. Let k(m) = i(m) + r(m). Let f be k(-9). Suppose f*q - 23 = 17. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 0.9?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101673 and 17127.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3289627920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1.6 (b) -0.06 (c) -1\/5 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/76 bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f + 15*f + f + 16*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00319171 to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156 + -1. Let o = y + 157.00131. Round o to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/70 (c) 11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -442423 - 30?\nAnswer: -442453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0 + 11\/2*m**2 + 5*m + 11\/6*m**3. Differentiate o(r) with respect to r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3174891 is divided by 3174862.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1022.017mm?\nAnswer: 1022017000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 1 + -6 + 26\/6. Is 5 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15 + 13 + 2\/4*42. What is the highest common factor of p and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6)*2*3. Let k = -6 - y. Let z = 11 - 10. Solve k*d + 5 = -z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111110001010001 + -100?\nAnswer: 1101111110001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((1\/2)\/(95\/10)). Calculate the greatest common divisor of 152 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*k = -6, -5*b - 2 = -b + 5*k. Let i(o) = -6*o**3 + 2*o**2 - o - 1. Let s be i(b). Let g = s - -72. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288076 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0378 + -37.7378. Let c = p + 39. Let f = c + -1.29. What is f rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*o - 6*o**2 + 3*o + 16*o - 22*o**2 + 11*o as d*o + m + v*o**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 16*x - 2445. Is 163 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 1. Let b(q) = -2*q + 1. Let g(f) = f + 5. Let m(a) = -2*b(a) + g(a). Let d(z) = -10*z - 3. Let v(i) = 2*d(i) + 3*m(i). Give 3*r(w) + v(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 - 70. Let y = -4 - -3. Let w = 7 + y. What is the remainder when c is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jox when three letters picked without replacement from xoxjxxxxxo.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Let s be (1*9)\/((-88)\/77). Let b = s - -69\/8. What is the second smallest value in -4, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3593 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 0. Suppose a = -0*v + 4*v - 8. Let o = -44 - -46. What is the remainder when o is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**2 - 2*o - 2. Let h(x) = 6*x**2 + x + 2. Let c(s) = 6*h(s) + 5*v(s). Determine c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240342447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/89872 and 51\/393190?\nAnswer: 3145520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 52*r + 420. Calculate y(23).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3 - 5233*b**2 + 221893*b + 1809325 = 0.\nAnswer: -5275, -7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 - -3) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 85 = 5*r. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + -0.7. Let m = -0.46 - -45.46. Let g = -45.4 + m. What is the closest to 1 in n, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 62 + 18 = 0. What is the remainder when 47 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139958 or -139960?\nAnswer: -139960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -588621, -588618, -588617, -588618, -588621, -588626, -588633?\n\"Answer: -k**2 + 6*k - 588626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 1. Let g be m(-4). Suppose s + 18 = 6. Let p = 14 + s. Solve 3*a + 5 = -2*h, g*h + a + 17 = -p*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 52, 675, 0 in decreasing order.\nAnswer: 675, 52, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/2 + 51*p**4\/2 - 55*p**3 - 102*p**2 + 212*p = 0.\nAnswer: -53, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131301 (base 4) to base 2.\nAnswer: -11101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 != 415153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-4 + (-1 + sqrt(2))*6.\nAnswer: -6*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*k - 9, -7*a + 5*k - 35 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, h: 3, t: 5}. What is prob of sequence hh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/45, 1, 163612, -4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8395406 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2382.1 + 2695. Round w to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 97*w**3 + 2*w**2 - 3*w - 18. List the prime factors of r(2).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114.9 - -115. Which is the closest to 1\/4? (a) h (b) 0 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*v**2 - 515*b**2 - 142*v**3 wrt v.\nAnswer: -2*b**2*v - 426*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 5*i + 5. Let o(g) = g**3 - 9*g**2 - 9*g - 7. Let c be o(10). Let t be 8\/(-10)*60\/(1 - 13). Suppose c*r = 11 + t. Give y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/429 (b) 5 (c) 2\/11 (d) 241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-27)*1*(-6)\/10. Which is the closest to z? (a) -0.1 (b) 2\/19 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -639*k. Let g(w) = 1357*w**2. What is x(g(d))?\nAnswer: -867123*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11569816*l*q**2*t + 8*l*q**2 - l*q*t + 20*l*q - 2*l*t - l - q**2*t - 3*q**2 + 5*q*t + 1137*t wrt q.\nAnswer: 23139632*l*t + 16*l - 2*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 49*z**3 + 16*z**2 + 7*z - 7. Let y(j) = 16*j**3 + 5*j**2 + 2*j - 2. What is 2*m(t) - 7*y(t)?\nAnswer: -14*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + r + 10 = 0, -38 = -4*m + 4*r - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 412156 and 44923.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n + 57392 = 5*f, 22944 = 2*f - 4*n. Suppose -130*o + 132*o - f = 0. Let t = o - 172073\/30. Find the common denominator of t and 31\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23080543 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5377872 rounded to two decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5 - j - 1 + 5*j**2 - j**2 - j**3. Suppose 4*a - 4 - 8 = 0. Is s(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422449 is divided by 350.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 109. Put 1, r, 3 in decreasing order.\nAnswer: 3, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 3*m + m)*(2*m**2 - 5*m**2 + 2*m**2 + (3 - 2 - 3)*(4 + 13*m**2 - 4)) in the form h*m**3 + f*m**2 + d*m + k and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -66. Let c = o - 58. Let i(v) = v**3 - 6*v**2 - 3*v - 6. Calculate i(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.772 * -48209.\nAnswer: 37217.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 5. Suppose -2*u + 3*c - 16 = 0, -5*u - c = 4 + 2. Let t = u - g. What is the remainder when 14 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u - 7 - 2*u + 3*u + 2. Let p be a(-9). What is the second derivative of -p*n - 3*n**3 + 4*n**4 + 45*n + 3*n**3 wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s. Let d = 1 - 4. Let a be -15*(4\/4)\/d. Let h(g) = -a*g - 2*g + 6*g. What is c(h(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*d = 88, -l = -d - 271 + 252 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(405))**2*-3 + 5 - ((sqrt(40) + sqrt(320)\/(2*sqrt(8)))\/sqrt(8))**2*-6.\nAnswer: -2285\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427045 is divided by 438?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kck. What is prob of sequence kc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Let z(l) = -39*l + 4. Let s(g) = 3977*g - 410. Let y(m) = 2*s(m) + 205*z(m). What is y(j(h))?\nAnswer: -41*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d**2. Let q(u) = -10*u**2 + 7*u**2 - 2*u**2 + 7*u**2. Calculate b(q(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-28)\/(s*s**(-26))*s**(2\/19)\/(s*s\/s**30*s) assuming s is positive.\nAnswer: s**(458\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*l + 36 = 0, 4*f + f + 3*l - 104 = 0. Suppose f = -2*n + 8. What is the remainder when (-7)\/n - (-1 - 21) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-6) - (3 + 167)\/(-1). What is the greatest common divisor of 14418 and x?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-120)\/9)\/((-3)\/279*1). Suppose 4*p - u = -3*r, 2*p + 367 - 997 = -4*r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:16 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68) - sqrt(17))**2 + (((sqrt(17) + -2)*-4)**2 - sqrt(17)) - (-1*(2*sqrt(1377) + 1))**2.\nAnswer: -5152 - 97*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8 - (-2 - 902\/4). Suppose -5*f = 3*j - w, 3*f + j - 181 = -f. What is the highest common factor of 60 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**3 - 310454*z**2 + 7*z - 10346117 wrt z?\nAnswer: 6*z**2 - 620908*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*w - 22071 = -481*w + 470*w + 34544 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46805309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by 44.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -134*x - 5. Let q(d) = -d + 2. Calculate -2*j(l) - 4*q(l).\nAnswer: 272*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0095381865 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 1\/5, -34.25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/25*42\/(-9) - (-2)\/(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.2286 millilitres in litres?\nAnswer: 0.2802286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120476 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351 - 637 + 286 - 2*j + 4*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 44 - 40*x in the form r + h*x and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and -0.005538.\nAnswer: -0.00099684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/7 + 4146*j\/7 + 1258120\/7 = 0.\nAnswer: -284, 4430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h - 3. Let c(g) = 6*g**2 + 4*g - 14. Let x = -580 - -566. Determine x*l(a) + 3*c(a).\nAnswer: 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*n + 4387 + 6525. Calculate the remainder when 1498 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u**2 + 2*u + 7. Let n(h) = 14*h**2 + h + 6. Let c(w) = 6*n(w) - 5*q(w). What is the second derivative of c(i) wrt i?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -453329, -906609, -1359889, -1813169, -2266449, -2719729?\n\"Answer: -453280*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0. Let v = 390889 - 390890. Sort -48, v, j.\nAnswer: -48, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**4 - 7*h**3 + 6*h**2 + 19*h. Let a(n) = -2*n**4 - n**3 + 3*n**2 - n. Let p(f) = -3*a(f) - 3*x(f). Determine i, given that p(i) = 0.\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + d + 0*d - 62 = 0, 44 = 3*j + 4*d. Suppose -r = 4, 2*z - j - 4 = 2*r. Suppose 3*h - 2*v = 222, -z*h - 20 = 2*v - 302. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.87, -0.1, 1\/3, 2\/11, 8 in increasing order.\nAnswer: -0.1, 2\/11, 1\/3, 3.87, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 48*t**2 + 17*t - 17. Let v(m) = -17*m**2 - 6*m + 6. Suppose -25*o - 18 = -28*o. Let n(x) = o*a(x) + 17*v(x). Let u(c) = -220*c. Give n(u(f)).\nAnswer: -48400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1121001?\nAnswer: -1120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16676, -26115, -35554, -44993, -54432, -63871?\n\"Answer: -9439*f - 7237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(2736) - (sqrt(2736) + 1)) + 1 - (sqrt(2736) + 1)*-5))**2.\nAnswer: 15000*sqrt(19) + 1710625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from iibbbbbbbbbibbb?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 10 = 2*i. Let t(z) = -z**3 + 2*z - 1. Calculate the lowest common multiple of 7 and t(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1146505.658 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 40 + 11 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f + 9*f + f**2 + 2 - 8*f - 2*f**3 + 3*f**4 + f as u + v*f + y*f**2 + j*f**3 + s*f**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.947413 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 123280 at least 123277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + -6)*1\/(-2). Let q = 10 + n. Let g(j) = -j**3 + 6*j**2 - 11*j + 7. Let z(p) = -p**2 - p. Let u(i) = g(i) - 3*z(i). What is u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -152, -335, -602, -959, -1412, -1967?\nAnswer: -2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 15. Let i be t(12). Suppose 4*m - 36 - 6 = 2*w, 0 = -3*m + 2*w + 30. Let j be 96\/30 - 1\/5. Solve -i*l = -m - j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 3775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/131)*o*o)**49 assuming o is positive.\nAnswer: o**(25774\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 b when four letters picked without replacement from {n: 7, b: 12}?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 154668040*s - 1196110129872080.\nAnswer: -5*(s - 15466804)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21257, 21282, 21329, 21404, 21513, 21662, 21857?\nAnswer: 22104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and -0.19?\nAnswer: -0.0627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 633 = 2*z - v, -2*v = -4*z + 510. Let m = z + -125. Solve -3 = 4*q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 3*l + l)*(5 + 5 + 3)*(9*l - 5*l - 6*l - 14) as s + d*l**2 + w*l and give w.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379 divided by -6.\nAnswer: 379\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.85 and -0.9160918.\nAnswer: -0.0660918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 21 + 21 = 0. Let f(c) be the third derivative of 1\/10*c**5 + 6*c**2 + 0*c + o - 1\/12*c**4 + 0*c**3. Find the second derivative of f(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 306*y. Let v(g) = 164*g. Calculate v(q(x)).\nAnswer: -328*x**2 - 50184*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977905 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -228, -334, -426, -498?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110111 (base 2) to base 3.\nAnswer: 121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -22*m**2 + 19*m - 59. Let y be k(3). Let s = 202 + y. Solve 1 - 5 = s*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -17610 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-92)\/115)\/(16\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {x: 1, d: 4, i: 1, m: 1, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/15)\/17*((-22)\/(-4) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 10:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233902 is divided by 116900.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 235*m - 13088. Calculate h(-90).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 64*i + 2*o = -4, -5*o = -5*i - 5. Let l(c) = c - 1. Let j(p) = p + 4. What is i*l(m) - j(m)?\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 + 11392 + 6348 = -295*q - 3516 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 5*a + 13 = 0, -4*a - 8 = -2*z. Suppose 3*g - 22 = z*g. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 5*q + 5. Let l(g) = 3*g**3 - 22*g**2 - 3*g + 23. Let s be l(9). Let y = -404 + s. Determine x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/700 and -1 - (-125)\/36 - 34\/153?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6870960.\nAnswer: 2, 3, 5, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.89 + -51.87. What is the third smallest value in z, 1\/6, -14, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*h**3*j*m - h**3*j - h**3*m - 29*h**3 + h**2*j*m + 2*h**2*j wrt m?\nAnswer: -18*h**3*j - h**3 + h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 42. What is the smallest common multiple of s and 39?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -280, -757, -1458, -2383?\n\"Answer: -112*u**2 + 83*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-9))\/(2\/21). Let w = -12 + h. Find the second derivative of p - 2*p**w + p - 5*p**2 + 2*p wrt p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 294 = 3*r. Let i = r - -139. Let k = i + -15. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 20*o - 22. Let m be i(-19). Let z = m + 48. Let q(n) = -4*n**2 + 10*n - 6. Let b(f) = 3*f**2 - 7*f + 4. Give z*b(y) + 5*q(y).\nAnswer: y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -414330 not equal to -414338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*n - 0*g - 31, 2*n - 8 = g. Suppose 4*z + 7 = n*a, 7*a + 4*z - 23 = 2*a. Let l be a - (-2)\/(0 + 1). Solve l = -0*v + 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 4*y + 32. Suppose -4*d + y = 4*o, 14 = 3*d - 2*o - 7. Let n(p) = p**3 - 4*p**2 - 3*p - 2. What is n(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*a**2*q*y + 33866115*a**2*q - 127641*a*y wrt y?\nAnswer: -62*a**2*q - 127641*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 2 + 2)*(-2*x + 2*x + 2*x) + 175 - 12*x**2 - 175 to i*x + j*x**2 + k and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105 - (2 + 5 + (-43 - (-3 + 9 + -34)))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001128 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -9*d - 37 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -17*z + 22*z. Suppose -3*w + w + 342 = z*o, -3*w + 511 = 5*o. What are the prime factors of w?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (420084\/(-189))\/(8\/(-18)). Suppose -x = -15*r + 4539. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211102 (base 9) to base 7.\nAnswer: -5404124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29343360 by 14671680.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417681, -835362, -1253035, -1670694, -2088333, -2505946, -2923527?\nAnswer: -3341070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4541 (base 8) to base 13\nAnswer: -1129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311744395?\nAnswer: 5, 62348879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7857 - 3197801\/407. Let j be ((-3600)\/6336)\/(259\/(-128)). Let q = f - j. Which is the second smallest value? (a) 2 (b) 2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 8:51 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 59 = -7*h + 5*d, 2*h + 11*d + 15 = 4*h - 7*h + 8*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 146\/(-4)*(-10 + 8). Let d = a - 70. Suppose -2 = -d*c - o + 3, -20 = 5*o. Solve -4 = 2*f - 5*f - 2*h, 0 = 3*f - c*h - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjbmjbmmvvvvnvjvv. What is prob of picking 2 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**4\/12 - 7*o + 4. Let v(i) = -2*i**2. Calculate 4*q(t) - 3*v(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*j + 8, -4*k - 3*j = 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11092 and 28?\nAnswer: 77644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11859 divided by -67?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 9*j + 274. Calculate u(23).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j - 283*j = 4797 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.18 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/21 and -1\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgb when three letters picked without replacement from {b: 1, j: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/10983 + -10987\/21966. Sort 3, h, 560 in increasing order.\nAnswer: h, 3, 560","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - (-23 - -19)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, g: 3, y: 2, w: 4, b: 8}. What is prob of sequence uguu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, -102, -147, -192, -237, -282?\n\"Answer: -45*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + (-8 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -35*q - 383. Calculate p(-22).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 2 + (49 + -6 - 32)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from nbbrbdfnnbnbxbr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 23 = -2*c, 309*c + 38 = 310*c - 3*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20328 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 202?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*m - 17, -4*j - 3*m = -2*m - 7. Suppose -2*l - 2 + 0 = 0. Let u = j + l. Solve -n = -4*p, u*n + 2*p = -3 + 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 2 + 5*f**2 + 0*f**2 - f**3 + 0*f**3 - 2*f. Let d be k(2). What is the third derivative of 0*o**2 - o**2 + 0*o**d - o**4 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 24*v**2 + 50*v + 48. Does 12 divide y(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(15\/8)\/(((p\/p**19)\/p)\/p) assuming p is positive.\nAnswer: p**(175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8506 rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0 - 4. Suppose -6 = 2*m - 3*f, 4*m = 3*m + t*f - 5. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 4.\nAnswer: 4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 221, 4, 0.0189?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18746*y. Let t(m) = -2*m. Give t(f(x)).\nAnswer: -37492*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 7*t - 1. Let i be c(-5). Let h = 11 + i. Suppose o - 4*o = -3*r + 3, -3*r + 2*o + 5 = h. Solve 0 = r*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2653915880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0.66. Let s = g - 0.16. Let w = 27.5 + -28. Which is the second biggest value? (a) 0.3 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 13) to base 5\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*y + 42, 4*d - 3*y + y = 94. Differentiate -5*u**2 - 37*u**2 - 11 + 9*u**2 - u**4 - d*u**2 with respect to u.\nAnswer: -4*u**3 - 118*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 1 - 7. Let a = 13 + u. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 10*g. Determine x(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/5974 and -9\/2430664.\nAnswer: 250358392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -28 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) -1 (b) 0.2 (c) 335 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -382557 divided by -127519\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15938015621 minus 0.137?\nAnswer: 15938015620.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -4. Let h = 1.67 - 2.596. Let s = -0.074 + h. Which is the nearest to d? (a) -4\/3 (b) -2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 7*c**5\/10 + c**4\/3 + 53*c**3\/3 - 12*c - 5. What is the second derivative of l(o) wrt o?\nAnswer: 84*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 72. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-33))\/((-126)\/(1047816\/(-630)))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103.5 - -160. Round l to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(9\/4))\/(r\/(r\/((r*r**(-3))\/r))))\/(r**(-3\/13)\/r**(-2\/5)) assuming r is positive.\nAnswer: r**(1581\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**2 + 0*f**4 + 10*f**4 + 2*f**2 - 2*f**3 + 29*f**4 + 19 wrt f?\nAnswer: 936*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48460 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 47*a**2 + 3*a + 4. Let y be u(4). What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-126)\/(-5) + (-6)\/30. Suppose 2*g - 4*x - 1 - f = 0, -2*g + 16 = -2*x. Suppose -5*b = j - 643, -5*j = g*b + 72 - 449. List the prime factors of b.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -875.8 + 877.8. Sort 1\/2, h, -5, 4, -0.055.\nAnswer: -5, -0.055, 1\/2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 831\/33 + -5 + 4\/(-22). Let -112*o - 87*o**4 - 250*o**3 - 9*o**5 - 77*o**2 - 211*o**2 + 16*o - z*o**3 = 0. What is o?\nAnswer: -4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13500235 is divided by 2570.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f**2)*(-f - 5*f - 10*f) + (-f - 2*f + 2*f)*(-f + f + 6*f**2).\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.919 to one dp.\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 16. What is q(-7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighty-five quarters of a milligram?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27332770 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12033.236 + 1.786\nAnswer: 12035.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011653 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-51)\/(-6)*(-6)\/(-3). Let o = -93 - -146. Let j = o - c. Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -25035505 and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + x - 12 + 50*x**2 - 51*x**2.\nAnswer: -x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) + (322624\/8800 - 36) - 14\/77.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 24 = 12*i. Sort i, -5, 1\/3.\nAnswer: i, -5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 7653*v\/2 - 3827.\nAnswer: (v - 7654)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 7*l**2 + 6*l + 6. Let c(g) = g**3 + 8*g**2 - 7*g - 7. Let x(r) = -6*c(r) - 7*j(r). Let n be x(0). Suppose 60 = d - n*d. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 157 = -13*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3927883 and 67\/6?\nAnswer: 23567298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -232.61 - -135.1. Round g to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1741340302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 16564*t.\nAnswer: t*(t - 16564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 6:24 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/2 - 33905*f**4\/2 + 67815*f**3\/2 + 33905*f**2\/2 - 33907*f = 0 for f.\nAnswer: -33907, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20952 (base 11) in base 5?\nAnswer: 1433203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658 + 658 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 19. Let t = -4 - -7. Suppose -t*z + 13 = -o - 1, -2*o = 3*z - 26. Calculate the highest common divisor of b and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1063179\/17 + -62539. Solve -6\/17 + 6\/17*v**2 + j*v = 0 for v.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1200 + 1208. Sort 5, 10, 0, k in descending order.\nAnswer: 10, k, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 550?\nAnswer: 1\/550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29613, 29696, 29779, 29862?\n\"Answer: 83*g + 29530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6502.78626 rounded to the nearest ten?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, g: 5, c: 13}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/13 + (-5372)\/(-2054). Solve -40*n + b = 42 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 7. Let f(z) = z**2 + 3. Let d(j) = 7*f(j) + 3*v(j). Let k(c) be the third derivative of c**4\/24 - c**2. Calculate d(k(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -68. Solve o*a = 2*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -89060?\nAnswer: 356240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 219, -2.992?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c*c)**(1\/18)*c*(c**(-3)*c)\/c*c*c*c\/(c\/(c*c**(1\/2))*c))**(-5\/7) assuming c is positive.\nAnswer: c**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29725 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/63 and 88\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4400 and 6600.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:51 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 1, 4, 1\/183 in decreasing order.\nAnswer: 68, 4, 1, 1\/183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -384)*(-1)\/9. Let l = c + 128\/3. Let q be 1\/2 + (-9)\/18. What is the nearest to -0.2 in l, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2214993886?\nAnswer: 2, 7, 17, 23, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 474766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3 - 1) + 2 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/12)\/((-48)\/(-192)). Let r be (-4)\/10*(-5)\/(-7). Sort p, 0, 2, r.\nAnswer: p, r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25.62667 years?\nAnswer: 307.52004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(612))*-1.\nAnswer: -6*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 + 2) - (-353 + 356)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.49 (b) -10 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -2.0352\nAnswer: -69.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -4*l**6\/3 - 3*l**2 + 5. Find the second derivative of s(y) wrt y.\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*m + 2 wrt m.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -5 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2\/3, -9.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2*r**3\/3 - 168*r**2 - 664*r - 544. Factor v(n).\nAnswer: -2*(n + 2)*(n + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2900\/5 - (3 + -3). Suppose 6*k - 4*k + y = 0. What is the tens digit of 1 + k\/(-5) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 35*x**2 + 99*x - 884. What is g(-31)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 16. Let z be h(6). Solve 5*l - z = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2487.433?\nAnswer: -2483.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 6\/4 - 342\/228. Suppose d*c + 6 = c. Solve -7*v - c = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 33. Calculate the smallest common multiple of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3786503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 49*l - 24. Is p(8) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 80, 2, 5, 557 in decreasing order.\nAnswer: 557, 80, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 79278847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (9 - (7 - 6) - (0 - -12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -3, 5 in decreasing order.\nAnswer: 5, -3, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 - -189.5. Put 2, q, 36, -4 in increasing order.\nAnswer: -4, q, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.323887547 and 22.\nAnswer: 19.676112453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from xxqqjxjxq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9377 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -11 + -11 - (-3 - 0 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-4))\/((-20)\/16 - -1). Let c(t) be the first derivative of -9\/8*t**4 + 3\/2*t**q + 0*t - 1 - 3\/4*t**2 + 3\/10*t**5. Factor c(r).\nAnswer: 3*r*(r - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 26*d + 32 + 30*d**2 + 21*d**2 - 8*d**2 to the form k*d + w + o*d**2 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318082 or -318038?\nAnswer: -318082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1300230?\nAnswer: 1300220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2036 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235*b**3 - 1029*b**2 + 8688874?\nAnswer: -705*b**2 - 2058*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/(l**(-1\/4)\/l))\/l*l)\/l)\/l)**(-11)\/(l**(2\/17)\/l*l*l**2*l))**21 assuming l is positive.\nAnswer: l**(-8379\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.552*-17.4\nAnswer: 9.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 13 = -5*f. Let w = -73\/3 + f. Find q, given that 0 - 2\/3*q**2 - w*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27429 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: What is prob of sequence wrrr when four letters picked without replacement from wwwwiwwwrirwwwwrww?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/67? (a) -5 (b) 0.69 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/8)*i*i**7*i*i**(2\/5)*i*(i**(-24)\/i)\/i assuming i is positive.\nAnswer: i**(-639\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3\/5 - 2488*z**2\/5 + 7471*z\/5 - 4982\/5 = 0.\nAnswer: -2491, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3021 + b?\nAnswer: 302c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83484.75l to millilitres.\nAnswer: 83484750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 4:00 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 5*h**2 - h - 7. Suppose -f = k + 3, 7 + 20 = -5*k - f. What is the units digit of n(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.06 - 0.06. Let k = 1728 + -60474\/35. Sort 0, x, k in ascending order.\nAnswer: 0, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/291696 and -1\/2349616.\nAnswer: 726031344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 1 i when three letters picked without replacement from whaif?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 4 - (1 - 3). Which is the closest to -0.4? (a) 1 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 99. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -45*79\/((-485850)\/328)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398216, 398224, 398246, 398282, 398332?\nAnswer: 398396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -1120 - 1206 + 195*q + 2392 - 9*q**2 = 0.\nAnswer: -1\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**34)**(-17\/6)*(d**(-4\/7)\/d**(-2\/3))**(-32) assuming d is positive.\nAnswer: d**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = -5*g - 0, -4 = -g + 3*q. Let b = 0 + 2. Let x = b + -1. Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 - -0.03. Suppose 4*n = -n - 120. Let f be 0 - 1 - n\/42. Which is the nearest to -1\/3? (a) 1 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29038959 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 - 7040 = 296*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -19, 520, 3 in increasing order.\nAnswer: -19, -3, 0, 3, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 590968.9t in micrograms?\nAnswer: 590968900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*c + 12 = 0, -c = 3*k - 4*c + 9. Suppose 3*v = 4*a - 1, -v + 21 = -k*a + 4*a. Solve -y + 8 = -0*y + 3*j, 2*j + 8 = -a*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5088\/(-1056) - (0 + 2 + -7). What is the nearest to -0.17 in n, -0.4, 1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnb when three letters picked without replacement from hdthhnhb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 4*v - 17 + 11, 5*v + 13 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = q - 4*q. Suppose 3*c - q = 8. Solve -s + 5 = c*a, -5*a + a - 4*s + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1265, 2532, 3799, 5066, 6333, 7600?\n\"Answer: 1267*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/17 + 250*s**3\/17 - 138*s**2 + 5318*s\/17 - 3220\/17 = 0. What is s?\nAnswer: 1, 2, 7, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5546621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/9 and (1\/(180\/(-6)))\/(12\/(-1425)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3 - 0. Let v be 8 + (-3 + 4)*h. Solve 7*j - v*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w. Let l(a) = -a. Let z(k) = 2*k**2 + k - 2. Let v be z(3). Let m = -20 + v. Let r(y) = m*j(y) - 5*l(y). What is r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (0 + 0 + sqrt(704)) - -2*((sqrt(704) + 4 - sqrt(704)) + sqrt(704))) + 0 + 2.\nAnswer: 10 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/4 - -6. What is the closest to -1\/3 in -0.4, 0, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 12.863.\nAnswer: 64.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11482 + 1575137?\nAnswer: 1586619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-31810 + 1225*c + 31810)*(-1 - 2 + 0).\nAnswer: -7350*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-423)\/21 + -21*38\/931.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/(6\/(-45))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0) + 24\/(-8). Let w(c) = 3*c + 5. Let x(z) = -z**2 + 2*z + 4. Let o(n) = v*w(n) + 5*x(n). Find the second derivative of o(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.1. Let x = f - -0.3. Let h be -1 + -3 - (-145)\/40. Which is the closest to x? (a) -1\/4 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) 0 (c) 10 (d) 2 (e) 1 (f) -4\/545 (g) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/2184*440\/(-550)*21.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3098900 and 121\/9500?\nAnswer: 15494500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 11. Let h(i) = 2*i. Let p(o) = -762 + 2289 - 766 - 761 - 5*o. Give b*h(x) + 3*p(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/(w*w\/(w*w*(w\/(w**(-1\/8)\/w))\/w)))**(-12)*(((w\/(w\/w**(2\/9)))\/w*w)\/(w**(-4\/7)\/w))\/(((w\/w**9*w)\/w)\/(w\/w**(-1\/4))) assuming w is positive.\nAnswer: w**(2405\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 + 0*r**2 - 4 + r**2 + 1. Let n(s) = -1. Suppose -6*b + 2*b = -48. Suppose -4*d + 0*d = b. Calculate d*n(j) + k(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p - 1. Let c be y(2). Let h be 10\/c*3405\/1. Round h to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2924.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*v, 11 = -4*i + 2*v + v. What are the prime factors of i\/6*(-27 - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1428 + -1429. Which is the smallest value? (a) q (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023424 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2401 (base 8) in base 10?\nAnswer: -1281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 375660?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 407360560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.05 - -44. Let y = -0.04 - m. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/26625 and -68\/88821.\nAnswer: 11102625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15112, 60347, 135770, 241381, 377180, 543167, 739342?\nAnswer: 965705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15435870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21123 or -477?\nAnswer: 21123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12719 + 279919\/22. What is the common denominator of g and 59\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -375 - -373. Is 20\/(-80) + 65690\/8 - p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.2 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*k = -10, -2*a + 2*k + 2 = -2. Let q be (a\/(-3))\/(-1 - -2). Factor 2\/7*r**3 + 0 - 2\/7*r + q*r**2.\nAnswer: 2*r*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1028*s**3 - s**2 - 4*s**4 + 9960*s + 1039*s**3 - 1817*s**3 wrt s.\nAnswer: -48*s**2 + 1500*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 57*x = 12*z - 7 - 5, 7*x + 28 = -6*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2310207 (base 8) to base 14\nAnswer: -124611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10442047 and -46\/7.\nAnswer: 10442047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -252\/139? (a) -5 (b) 7 (c) 2 (d) 1\/17 (e) -1\/7 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-1 - 101) + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -41*k**3 + 7*k**2. Let t(f) = 40*f**3 - 6*f**2. Determine -4*h(y) - 5*t(y).\nAnswer: -36*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*g + 500 = 0, -5*u + g + 3*g = -626. Suppose -a + u = -2*a - 2*i, -3*i = 4*a + 484. Let r = a + 213. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l - 2100 = -66*l - 184*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23028 - -23045. Calculate the greatest common factor of 153 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168*j**4 - 5*j**2 + 168*j**4 - 11*j**6 wrt j.\nAnswer: -1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618071620 by 94.\nAnswer: -6575230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**6\/360 - g**5\/24 + 4*g**3 + 20*g. Let u(c) be the second derivative of s(c). Factor u(f).\nAnswer: f*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 4*u - u. Suppose 2 = c + 4. Determine z(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20568*-1.\nAnswer: 20568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(-33) - (4 + -3). Let k = 1.9 - -0.1. Which is the nearest to 11? (a) 0.2 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12942*f**5 - 108 + 6486*f**5 - 12*f**4 - 2*f**2 + 6516*f**5 wrt f?\nAnswer: 3600*f**2 - 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94464000 rounded to the nearest one million?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*s + 315 - 1283 = 0, 5*x - 1618 = -2*s. Suppose -322*f - 48 = -x*f. Calculate the remainder when f is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 27. Suppose s = -n + 385, -c*s - 839 = -5*n + 1102. Suppose n = 3*i + 3*d, 2*i - i - 5*d - 141 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1907, -3816, -5725, -7634, -9543, -11452?\nAnswer: -13361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k - 129*k = 24*k - 6318 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 70\/17, 74, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*a = 5, -4*a + 0*a = 2*k + 6. Let m be -39 + 2 + (1 - k - -1). Let r be (m\/8)\/((-111)\/24*6). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27237925, 27237920, 27237905, 27237874, 27237821?\nAnswer: 27237740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1300) + -3*sqrt(1300))*2)**2 + -2.\nAnswer: 103998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)*(2 + 0). Suppose -x*l + 24 = -14. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(-2 - 7 + 4)*(4*c - 1 - 8*c + 3) to p + h*c and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(66)\/(5*sqrt(216)) - (sqrt(66)\/(sqrt(6)*-3)*-3)**2) + 3.\nAnswer: -41 + 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 222 = -6. Let l = -32 + b. Let x = 10 + l. What is the remainder when 52 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:48 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -711\/2 or -356?\nAnswer: -711\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyuubuoyuyyoouu. What is prob of sequence ouy?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/13 - 422*r**2\/13 - 2604*r\/13 = 0 for r.\nAnswer: -6, 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 42*n**2 - 46*n - 33. What is j(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*-2 - ((-103779)\/1053 - -77).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.76, -1\/4, 5, 2\/23, -5 in descending order.\nAnswer: 5, 2\/23, -1\/4, -0.76, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1*(10 + -5 + -4). Solve 0 = 3*h + 2*d + 23, d = 3*h + k*d + 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 4, 1, -2?\n\"Answer: -3*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 + 14*q**3 + 7*q + 34*q**3 - 8*q + 20*q**3 to the form m*q**3 + r*q + i*q**2 + j and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.4867 * -4.\nAnswer: 33.9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(1\/19)\/a)*a\/(a**(-31)\/a*a)*(a\/a**(-1\/3)*a*a)**(1\/6) assuming a is positive.\nAnswer: a**(5900\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -93673 divided by 2?\nAnswer: -93673\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let s = 3.1 - f. Let r = 28 - 25. Put -0.4, r, s in descending order.\nAnswer: r, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3518, 3516, 3514?\nAnswer: 3512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5657.681 to the nearest integer.\nAnswer: -5658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133607 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 521981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 8*g**2 + 7*g - 1. Let l be f(-5). Let n = 51 - l. Solve -3*y + y - 13 = 3*i, 3*y + n = -2*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t*t*t**(-2\/11))**(-22) assuming t is positive.\nAnswer: t**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 9. Suppose p*v - 956 = -5*a, a - 180 = 3*v + 2*v. Suppose 0 = 13*k - 8*k - a. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - j**2 + 5*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23702, 23595, 23416, 23165, 22842, 22447, 21980?\nAnswer: 21441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 4*r)*(-3*r**4 + r**4 + 0*r**4) - 4*r**5 + 0*r**5 - r**5 + (-4*r**4 + r**4 + r**4)*(2*r - r + r) + 9*r - 9*r + r**5.\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 + 4*u + 3. Let p be v(-4). Solve -10 = -5*f, 4*h + p*f - 9 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0 + 0*t**3 + 5\/6*t**4 - 6*t + 0*t**2. Let v(j) = 2*j - j + 2*j - 4*j. What is v(d(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3039936 divided by 446?\nAnswer: 6816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3933808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17659*b + 361*b**2 + 17659*b.\nAnswer: 361*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*b + b - 1, 0 = -4*x - 4*b + 16. Let u(r) = 4*r. Let v be u(x). Sort -2, 3, v.\nAnswer: -2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*j = -85092 + 5496. Calculate the greatest common factor of 5 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = 3*h, -4*a - 8 = -5*h + 3*h. Let f = 61 + -58. Suppose -13 = 3*w + 4*c, -w + h = -f*w + 4*c. Sort w, 2, -1.\nAnswer: w, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007280232395 to six dps.\nAnswer: 0.000728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26 - 0.06. Let v = -3 + 2.7. Let r = 12\/53 - 74\/795. What is the third smallest value in v, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8938*j - 8952*j + 84 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k*k*(k**(2\/9)\/k)\/k*k)**(8\/9) assuming k is positive.\nAnswer: k**(-200\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**3*z**3 + 20*w**3 + 186*w**2*z**3 + 75*w*z**3 - 7*w*z**2 + 13*z**2 wrt z?\nAnswer: -12*w**3 + 1116*w**2 + 450*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 871, 1723?\n\"Answer: 852*f - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 + -99 + -23 - (-11 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 13*c + 4. Let s be f(4). Suppose -2 = 2*j - s. Let b be (-184)\/(-10) - (1 - 6\/10). Calculate the greatest common divisor of b and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2442*h + 3170. Let w(o) = 67*o - 1. Let s(f) = u(f) + 5*w(f). What is the derivative of s(k) wrt k?\nAnswer: -2107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20746 divided by 82\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*b**2*s**2 + 133*b**2*s wrt s?\nAnswer: 208*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/(3050\/(-2280))*(1\/(-8))\/((-2)\/40)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -81\/2. Let v = -8 + 13. Let i = -3 - -5. What is the closest to i in v, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72931.6 rounded to the nearest one thousand?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -16. Let k = l + 10. Suppose -k*h = h. Which is bigger: h or -2\/31?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-111)\/(-9) + (-1)\/3. Let o(n) = n**3 - 12*n**2 + 14*n - 16. List the prime factors of o(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*s**2*w**2 + 34*o*w**2 - 55*s**2*w**3 - s**2 + 4*s*w**3 + 2*s*w + w wrt s.\nAnswer: 4*o*w**2 - 110*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - a**2)*(-3 + 3 - 2*a**3) - 2*a**4 + 2*a**4 - a**5 + 10*a**5 - 233*a**2 - 16*a**5 + 240*a**2 + 5.\nAnswer: -5*a**5 + 7*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1238080 and 24893.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44483 + 14*x**2 + 45936 - x - 90419.\nAnswer: 14*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 608304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/120*(-32)\/(-176))\/(141\/9).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6362218, -12724431, -19086644?\nAnswer: -25448857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzezzzdzdzzydldl. What is prob of sequence zd?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(6\/2)*47504\/(-8). Suppose -1553 = 5*v - o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 9:53 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**2 - 515*f - 7310 = 0.\nAnswer: -86, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7*x + 10 = 0. Let f be -5*(-3)\/15 + (x - -2). Which is the fourth smallest value? (a) f (b) 1\/7 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1184574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b6c5 (base 14) to base 8.\nAnswer: -210475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*v + 5*v + 107, 4*v = 3*b - 71. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2140*o + 2140*o - 101*o**2)*(0*o - o + 0*o + 3 - 3 - o + (-3*o + o + 0*o)*(0 + 2 + 0) + 2*o - 4*o - o).\nAnswer: 909*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -12. Suppose -5*g = -3*g - 40. Let d = b + g. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) -0.8 (d) -1\/5 (e) 5952 (f) 4 (g) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*d + 2*y + y, y + 196 = 3*d. Let q(z) = 7*z**2 + 3*z - 1. Let p be q(5). Suppose -p = -5*u - d. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659165211 to the nearest integer?\nAnswer: 25674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 10 - 2. Let j be (r\/(-12) - 0)\/(-11)*6. Let i = 282 + -284. What is the biggest value in 3, i, j, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 23*x**2. Let z(j) = 42141*j. Give z(c(d)).\nAnswer: 969243*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 19. Solve -7*a + 3*y = -3*a - 3, j*y + 3 = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 852\/144 - (1\/1)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3283\/17 + 193. Which is the smallest value? (a) -0.3 (b) w (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(320) - (sqrt(5) - sqrt(30)\/sqrt(6))*6 - (sqrt(20)\/(sqrt(4) - (sqrt(8)\/sqrt(2) + sqrt(4))) + sqrt(20)\/(sqrt(4)*1))**2.\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -54*m - 535. Let g be u(-10). Let a(r) = -r**2 - 2*r. What is a(g)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55893 + 32\nAnswer: 55925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v - 5. Let i(l) = 2*l - 1. Let d(x) = 4*i(x) - o(x). Let s(h) = -2*h**2 + 9*h + 3. Calculate 6*d(f) - s(f).\nAnswer: 2*f**2 - 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*a - 21, 4*n = -13*a + 14*a + 33. Solve 5*q = -n*q + 65 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 10 + -8 + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(147\/18))\/(3\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/6 + d. Let w be ((-12)\/(-42))\/(2\/14). Let y(i) = -5*i**2 - 5*i**2 - 2*i**w + 15*i**2. Give y(l(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -0.1, -2\/9, 0, 1802, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (30 - -2) - (-90)\/(-26)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -978 - 2334 = 10*v - 33*v. Calculate the highest common divisor of 54 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2, -5, -8.\nAnswer: -8, -5, -2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-5\/4)*o)**(-5\/16)\/(o**5*o*o)**(-1\/5) assuming o is positive.\nAnswer: o**(273\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1786 divide 3549950044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + ((-3812)\/(-318) - (-2608)\/207336).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 3. What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817922 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.95 + 464.65. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11264 = 16*q + 6*q. Let f = q - -515. Is f >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.925 - -3.075. Which is the second smallest value? (a) -15 (b) 2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-31 - -10 - -9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**3*z + 563*u**3 - 4*u**2*z - 58*u**2 + 2*u*z wrt u?\nAnswer: -6*z + 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 2070518?\nAnswer: 2070518.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 (base 11) in base 12?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-3) + 37 - 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(-6))\/q)\/((q\/(q**(-2\/7)\/q)*q)\/q))\/(q*q*q**(3\/4)\/q)**(-1\/19) assuming q is positive.\nAnswer: q**(2557\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 104?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (10 + 6) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from kkkkkxkkkkkkkkkkkpkk?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 7*o**2 + 7*o + 7. Let x be w(-6). Let i(r) be the first derivative of -r**4\/2 + r**3\/3 - r**2 + r + 1484. Determine i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 1. Let p(r) be the first derivative of -5 - r - 5\/2*r**2. Determine -4*n(x) - 3*p(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264\/395*(50\/(-125))\/(6\/75)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 896774760 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 4, b: 10, o: 3}. What is prob of sequence ok?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnq when three letters picked without replacement from nyyynynqqyyqnymh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*y**3 - 776117*y - 776120*y + 1552237*y.\nAnswer: 88*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353*a**3*p**2*x**2 + 57*a**3*p + a**2*p**2 + 38*a**2*p*x - a**2*x**2 + 3*a wrt a?\nAnswer: 2118*p**2*x**2 + 342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 157099 and -0.02?\nAnswer: 157099.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p + 64. Calculate the remainder when p is divided by (414\/(-8))\/(-3) + (-15)\/60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 23*s - 113. What is i(19)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 25*v - 224.\nAnswer: (v - 32)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -3. Put 0.02, w, -2 in decreasing order.\nAnswer: 0.02, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2813\/(-265) - 3\/6. Let v = m - -4\/265. Calculate the common denominator of v and -1 + (1 - 122\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, e: 4}. Give prob of picking 1 e and 2 x.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*q - 19, -q - 4*y = -3*q + 18. Suppose q*u - 2*u = 13806. Suppose -5*c + u = -3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-5))\/6*(-10)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 307*f**2 - 26*f + 37. Let j be a(15). Let v be 34\/(-10) - -3 - j\/(-5). Suppose 5*u = -3*l + v, 0 = 3*u + 5*l - 10837 + 2581. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 28*m. Suppose 1 = -10*c + 21. Let i(y) = y - 1. Let o(k) = 4*k - 2. Let s(n) = c*i(n) - o(n). What is s(l(d))?\nAnswer: -56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*k - 4)*(-k**2 + 3*k**2 - 3*k**2) + 167*k - 10*k**3 - 167*k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:00 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18286229?\nAnswer: 13, 1406633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68301 is divided by 31270?\nAnswer: 5761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 53179\/214*(-8)\/(-7). Suppose -c = h + 106. What is h rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/6 - -1)*-8. Let f = c + -6. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**3 - 5*p**2 - 5*p + 2. Let s be k(-2). Suppose 0 = -2*b + 7*b - s. Find y, given that 160 + b*y**3 + 4*y + 12*y**2 - 160 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7131 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*c + 163*c - 490*c - 3241 + 163*c as i*c + a and give a.\nAnswer: -3241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 + 2164148*y**2 - 311606208*y + 11217450240 = 0. Calculate y.\nAnswer: 72, 1081930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 16*m**2 + 17*m - 30. Let b be h(15). Suppose b = -6*i + 4 - 10. What is the tens digit of (-17)\/34*(i + (-57)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -38808, 0.3 in increasing order.\nAnswer: -38808, -1, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1178022.\nAnswer: -1\/392674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35947*i**3 + 48590*i**2 - 48590*i**2.\nAnswer: 35947*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1923*k**2 - 149*k - 177*k + 326*k.\nAnswer: 1923*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/17))**43\/(y\/(y*y\/(y**43*y))*y\/(y\/(((y*((y*y\/((y\/(y*y**23))\/y))\/y)\/y*y)\/y*y)\/y))) assuming y is positive.\nAnswer: y**(-1070\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose -c - s = 4*s - 38, u*c = -3*s + 146. Suppose -5*v - 5*y = 3 - 43, -v = 5*y - c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 63 + 99 = 0. Suppose 5*k - 26 = n. Suppose 822 = k*f - 354. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 863 + -394. Let p = -318 + y. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.9 - 12. Let l = z + -0.1. Let p = 0.5 - 0.1. Which is the second biggest value? (a) p (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20*4)\/(2\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0 + sqrt(13))*-1)**2 - (1 + sqrt(13) + 0)**2.\nAnswer: -2*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198275556 divided by 49568889.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b - 353*b - 2585 - 126 = 4718 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -20. Let u(k) = -k**3 + 4*k**2 - k + 4. Let h be u(3). What is the greatest common factor of v and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeevevneveen. What is prob of picking 3 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 546\/65 - (-2)\/(-5). Suppose -r*h - 27 = -4*g - 3*h, -5*g - 3*h = -6. Solve -2*d = -2*s + 12, -2*d + 7*d + 24 = g*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f + f)*(f - 2*f**2 - f + (-f + 0*f + 2*f)*(0*f - 3*f + 2*f) + 2 - f**2 - 2) as k*f**3 + z*f**2 + l*f + c and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31\/7 + 617\/133. Is i != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1005*j**2. Let x(f) = -15*f**2. Let h(v) = -2*n(v) - 135*x(v). Let d(s) = -3*s. Give d(h(t)).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2691\/(-130))\/23)\/(114\/(-76))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 2*p. Let d = p + 7. Solve -5 = 5*q + d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 - 1)*(2 - 5 + 1) + 42*s + 279*s - 2 + 61*s + (-1 + 1 + 2*s)*(-4 + 0 + 2) - 2*s - 1 + 1.\nAnswer: 374*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -0.5, 1937, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - s = -7*y - 20, -2*y + 19 = 5*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6668 to 2 dps.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*r = -198*r - 1966 - 6344 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 3 - (107 - 109) - -16 - -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 232, 460, 686, 910?\n\"Answer: -r**2 + 231*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443500201 (base 6) to base 13.\nAnswer: 1879183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66226*z - 66204*z + 0 + 1 to the form a*z + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90892 and 0.1.\nAnswer: -9089.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -323 + -406. Let k = -560 - z. What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 39, -5 in descending order.\nAnswer: 39, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47198?\nAnswer: 2, 23599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327270 by 54545.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1968, 1853, 1540, 927, -88?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13489117057626 - -0.5.\nAnswer: 13489117057626.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/6)\/((-10)\/(-1185)). Let n = m - -20. Which is the smallest value? (a) -2 (b) -2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -638, -937, -1218, -1475, -1702?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123829 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/2 + -5\/4. Let w be (-5 - -3)*2\/6. Let i = 2.7722 + -2.3722. Which is the closest to k? (a) -0.2 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672253634 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33c7 + -234?\nAnswer: 3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 0 (c) -91 (d) -45\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.95938628 to zero decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 12. Suppose -3*p = -2*j - 17, -4*p + 45 = p + 5*j. Suppose s - q = -3*a + p, 2*s + 4 = 3*a. Solve -z = 2*z + s*d + 10, 5*d = -20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*f - 19, 0 = 2*g - 6*f + 5*f - 8. Solve 6*d = d + 15, g*v + 27 = 4*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**4\/4 - i**3\/2 + i**2\/2 + 6*i. Let x be j(1). Which is the nearest to -2\/5? (a) x (b) 1\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 226*d - 4 = 224*d. Suppose -2*o - 7*c + d*c = -25, 4*o - 2*c + 10 = 0. Solve -j*z = 6 - o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92\/17, -1, -16\/7, 0.1 in descending order.\nAnswer: 0.1, -1, -16\/7, -92\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -686668 divided by 2?\nAnswer: -343334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.048 - -0.252. Which is the third smallest value? (a) -0.1 (b) 4 (c) 0.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 2083 + 0*i**3 + 5*i**2 - 2*i**3.\nAnswer: -2*i**3 + 7*i**2 - 2083","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5)\/(5\/1)*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 548.2519l?\nAnswer: 548251.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 176315, 176331, 176355, 176387?\n\"Answer: 4*j**2 + 4*j + 176307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 47225530 to the nearest ten thousand.\nAnswer: 47230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 53748 = 15*u. Suppose r + 4*x = 1377, 5*x = 5*r - 5292 - u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 + i - 1. Let h(w) = 2*w**3 - 10*w**2 + 19*w - 3. Let s(a) = h(a) - j(a). Let n be s(9). What is the nearest to -1\/3 in 2\/9, n, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*w + 5*v, 2*w - 3 = 2*v + 13. Suppose m = 4*a - 5*a + 28, -4*a = w*m - 143. Let i = m + -18. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 6. Let f = -12 + 16. Let v be q(f). Factor 4*d**v - 4*d - d**2 + 2*d - d**2.\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78062836 to the power of 1\/2, to the nearest integer?\nAnswer: 8835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/146161 + 9264707698\/3361703. Let z = y - -13239\/322. Let j = z - 2801. Calculate the common denominator of j and 79\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n - q = 252, -n = 3*q - 44. Let d be (-1)\/4 - (-28)\/(-16). Let x be (d\/(-2))\/(n\/15). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 3*s - 88*s**3 + 1 + 3*s**2 + 94*s**3. Let g(h) = -h**3 + 3*h - 3*h - 1 + h. Let b(o) = -a(o) - 5*g(o). Give b(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 20*x**2 - 2*x - 131. Let n be u(-41). Suppose 31*a - n = 3*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 2:44 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -40*u**4 + 1429*u**3\/6 - u**2 + 1371*u. Find the second derivative of m(z) wrt z.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujujujjujuuuu. What is prob of sequence juuj?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/165 and -37\/6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1716 = -2*d + 3*s, -821 = -d - 4*s + 37. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-37 + (5 - -16))\/((-2)\/2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - 4. Let i be 42\/8 - 1\/4. Solve 3*v + 10 = v + j*p, -v + 9 = i*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142.01 - -141. Let g = -1 - r. Let j be (-2)\/2 + 0 + 8\/12. What is the nearest to 1 in j, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000484 to 6 decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5397*s**3 - 57497*s**2 + 678*s**3 + 57497*s**2.\nAnswer: 6075*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.8135 months in years?\nAnswer: 59.151125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5701086 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*h + 2, -9*r - 2*h = -5*r - 20. Suppose -6*g = -4*g + r*x - 66, -g - 4*x + 39 = 0. Calculate the smallest common multiple of g and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1264358189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 13*k - 16. Let p be j(12). Let t = p - -30. Suppose -5*g + 4*w = -255, 5*w = t*g + w - 114. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1177 + 0?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5. Let v = l - -2. What is the closest to 1\/3 in v, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -4, -162, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 1622*u - 1622*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1606*x + 11. Let d(l) = 3213*l + 20. What is 4*d(r) - 7*s(r)?\nAnswer: 1610*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 10 = 5*w, 4*w + 4 = 2*w. Let g(u) = -u**2 - 23. Give g(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -0.1 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*r + 138, 0*r + 3*r = 3. Let l = o + 241. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59974800337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 + k**3 - 9*k**3 + 3*k**3 + k + 6*k**3. What is n(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0 + s + 1\/12*s**4 - s**2 + 1\/3*s**3. Let f be x(-4). Solve -5*k - 4*l - 6 = -f*l, 4*k + 2*l = 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 784 = 121. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1637, 6628, 15035, 26930, 42385?\nAnswer: 61472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 + 68*u**2 + 215*u + 127. Give a(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 9, 6.9, 2, -21, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/30*3)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 98, 191, 374, 677?\n\"Answer: 5*i**3 - 2*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, 3, 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 - 37*o + 177. Calculate s(6).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 188*l**2 + l. Let v(y) = y + 1. Let j(q) = -8*q - 10. Let o(n) = j(n) + 10*v(n). Give o(d(r)).\nAnswer: 376*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-1))\/((-1)\/(-1)). Let b = p - -12. Find the third derivative of -2*g**2 + 0*g**2 - 2*g**2 + 5*g**b wrt g.\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 73*v**6\/120 + v**5\/60 + v**4\/12 - v**3\/3 - 15*v**2. What is the tens digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.052 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -215?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 59556, 59523, 59488, 59451, 59412, 59371?\n\"Answer: -u**2 - 30*u + 59587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 + k**4)*(-1088 - 588 - 94 - 1030).\nAnswer: -2800*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 3. Let u be m(3). Solve 9 = -u*c + 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7259.97m?\nAnswer: 7.25997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmmjqjjjjjjjjq. Give prob of sequence mq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 556*c - 551*c = -37, -4*c = 4*q + 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -29. Let z = b - 68\/3. Does z = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**18\/(o**(3\/2))**(-47))**(24\/13) assuming o is positive.\nAnswer: o**(12708\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/178047 and 127\/2190.\nAnswer: 1780470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 0. Let r be (h\/4)\/((-2)\/4). Suppose -2*i + 1 = -r. Solve 12 = i*j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1233505 and 88\/39585.\nAnswer: 107314935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 + 3656*a - 106080 = 0. What is a?\nAnswer: 30, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.4 (c) -2 (d) -4 (e) -927\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*h - 260 = 4*h, h + 103 = 2*u. Is u greater than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2 (c) 464 (d) -0.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/10*(-65)\/(-52). What is the closest to 1\/2 in 8, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308.88 - 319. Let h = -0.12 - v. Which is bigger: h or -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 - b**2 - 5*b**2)*(-10*b**2 + 2*b**2 + 3*b**2) to v*b + z*b**2 + n + c*b**4 + w*b**3 and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 - -720.4822.\nAnswer: 709.4822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - l. Let x be a(-1). Let w be (-2 + 1)*(-2)\/x. Let r = 179 - 182. Sort -1\/5, w, r.\nAnswer: r, w, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/856 and -21\/304.\nAnswer: 32528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 4*f + 3*f**2)*(-2*f**2 - 7*f + 7*f) to u + m*f**4 + k*f**2 + q*f + w*f**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 13. Let t be y(4). Suppose 0 = 2*z - t*q - 10, 12 = 2*z + q + 10. Solve 5 = 3*m + 5*b, -z*b - 2*b = -2*m - 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -10*i - 20. Suppose 3*x = 12, 0 = 2*k + i*k + 2*x - 16. Factor b - 1\/3*b**k + 0.\nAnswer: -b*(b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -76. Suppose -14 = u - j*l, 3*u = -3*l + 7*l - 10. What is the greatest common divisor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g*(((((g*g\/(g\/g**(-1\/2)))\/g)\/g)\/g)\/g*g*g)\/g))\/g*g)**(-2))**50)**(-45) assuming g is positive.\nAnswer: g**15750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264184161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-53)\/(7155\/30) + (-148)\/(-18). Solve -2*b = 4*l - 18, -2*l + 7 = -9*b + u*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from {d: 4, x: 3, y: 2, o: 3, u: 7}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - 51. Let b = -34 - d. Let y = b - 49.000021. Round y to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131431443 (base 5) to base 2\nAnswer: -10011111111110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 r when three letters picked without replacement from {r: 7, a: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4145, 3757, 3117, 2225, 1081, -315, -1963?\nAnswer: -3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 10. Let p be m(0). Find the common denominator of (p\/21)\/(64\/(-264)) and 149\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4) + 65\/20. Suppose -p + 2*u - 4*u - 8 = 0, 16 = 3*p - s*u. Solve -20 = -4*q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1876171227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -122280508*u. Let v(n) = -3*n**2. What is z(v(r))?\nAnswer: 366841524*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 465760854 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = -5*q - 24, -4*q - 12 = -246*y + 128*y + 121*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v - 13. Let w be g(-1). Let k(m) = -14*m - 8. Let s(r) = -r. Let h(j) = 2*k(j) - 20*s(j). What is the units digit of h(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 u when four letters picked without replacement from uffffufufuuf.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 6*h)*(3*h - 8*h + 6*h - 5).\nAnswer: h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 3*o - 5, -58*x + 5*o - 13 = -60*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 0 + sqrt(1088) + (sqrt(1088) - (3 + sqrt(1088) + 0)) + 5 + 3)**2.\nAnswer: 80*sqrt(17) + 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**3 + 525584*y**2 + 17265959936*y + 69055430656 = 0.\nAnswer: -65696, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzrxr. What is prob of sequence xr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17598141, 35196278, 52794417, 70392558, 87990701?\nAnswer: 105588846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3418520 and 1025556.\nAnswer: 10255560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 10:18 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*l + 19806 + 18309 = -169*l + 1760*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3160*p - 964 + 964 - 261*p - 4928*p to k + m*p and give m.\nAnswer: -8349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4951562\/143385 - (-1)\/(-5)?\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59684 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 59, 100, 179, 308, 499?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - ((-476475 - 18) + -13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s**2 - s + 52. Let j be h(0). Suppose -5*o + j = -0*t + t, 3*t - o - 188 = 0. Calculate the remainder when t is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 12\/19?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -7954.14.\nAnswer: -7958.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14\/115 + -9287\/230. Find the common denominator of o and ((-3)\/2)\/(5\/(-165)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-2)\/42 + 91\/((-15288)\/48). What is the biggest value in x, 219, 0.2?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12087.47 kilometers?\nAnswer: 12087470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 - u. Let i be h(-1). Is (1 - (-2)\/1)*i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (2 + 71 - (56 - 63 - (8 - 23))).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 10. Let l(k) = -k**2 + 8*k + 13. Let s be l(r). Solve 2*w - v = -w - 10, -s*w - 13 = -v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3)\/6 + -2. Let a be 6 - 6\/(-3)*u. Solve a*l = 8*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(300)*-2 + sqrt(300))\/(sqrt(96)*3))\/(((-1*sqrt(90) - sqrt(90))*-5)\/(sqrt(9) + sqrt(576))))**2.\nAnswer: 9\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 3*x**2 + x + 3. Does 18 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 57*d**3 - 5*d + 53*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.79 - 1.79. Let v(t) = -t + 2. Let x be v(6). Let r = -6 - x. Sort s, r, 4 in decreasing order.\nAnswer: 4, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 4*u**2 + 15*u + 22. List the prime factors of n(8).\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 2*c + 2. Let g be r(2). Let k be 2 + g + -4 + -53. What are the prime factors of 4\/(-16)*k*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10075633409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:38 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**2 + 11*z + 9. Let u be q(-1). Let s = -3 + -8. Let n = s + -5. Which is greater: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 23. Let o(r) = 6*r**3 + 45*r**2 + 91*r - 3. Let w(g) = g**3 + 9*g**2 + 18*g - 1. Let i(d) = 2*o(d) - 11*w(d). Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -68273*q - 7*q**2 + 9 - 9 + 68273*q. Let n(r) = 9*r**2. Give n(o(g)).\nAnswer: 441*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15920?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/976293 and -44\/205785.\nAnswer: 1313114085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.4 (b) -1 (c) -5\/24 (d) 3855 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 13 = -19*u, 3*u + 3 + 3 = 3 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452 divided by -226.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 18. Let p(l) = -l**2 - 14*l + 36. Let a be p(-17). What is the remainder when d(a) is divided by 3\/1*34\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h - 10. Let v be 2\/5 + (-17)\/5. Let f = v - h. Solve -3*t - 2*t = f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-10)*n))\/(n**(7\/2)\/n) assuming n is positive.\nAnswer: n**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8777164 and 18.\nAnswer: 78994476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (sqrt(425) - (sqrt(425)*3 - sqrt(425))))*-5)**2.\nAnswer: -25000*sqrt(17) + 275625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24719\/6 + -4138. Suppose 5*k = -5*c + 180, -k - k = -2*c - 56. Find the common denominator of (-4)\/8 - (-182)\/k and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107227 divided by 5.\nAnswer: -107227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*a = 2*g + 30, 3*a - 114 = -5*g. Calculate the lowest common multiple of -3 + 1 + 11 - 1 and ((-6)\/(-8))\/(1\/g).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84.8 and -0.4.\nAnswer: 33.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*j)*(-4*j**2 - 9 + j + 16 - 8)*(-2*j + 3*j - 2*j)*(-4 - 2 + 4).\nAnswer: 24*j**4 - 6*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 8) in base 4?\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from {g: 4, n: 5, v: 5}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(2\/23)*h*h)\/h)\/(h\/h**(-7))*(h\/((h\/(h\/(h*h\/h**(-9))*h))\/h))\/(h*h**(-1\/11)) assuming h is positive.\nAnswer: h**(-3497\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urr when three letters picked without replacement from cururrocirrorroiiru.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*5*(-2*sqrt(187)*3 + sqrt(187)))\/((sqrt(539) + (sqrt(539) - 1*sqrt(539)) + sqrt(539))*-5 - (sqrt(539) + 5*sqrt(539)*2 + sqrt(539))).\nAnswer: 75*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -177*k**2. Let b(d) = 25*d. Calculate g(b(h)).\nAnswer: -110625*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 45 = 5*b, 0 = 5*b + 3*q - 35. Let p(g) = 37*g**2 - g. Let j be p(1). Let c be ((-6)\/9)\/((-1)\/j). Solve c = 4*y + b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134649100 to the nearest 10000.\nAnswer: -134650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c. Let k(d) = -8*d**3 + 9*d**2 + 9*d. Give -2*k(t) - 18*s(t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -193096, -386122, -579148, -772174, -965200?\n\"Answer: -193026*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 3*v**2 + 3*v**2 + (0*v - v - 2*v)*(-3 + v + 3))*(12 + 43 - 7).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 473498041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 105702*h**2 + 13 + 256*h - 262*h - 105686*h**2. Let c(s) = -8*s**3 + s. Let d be c(1). Let x(r) = 11*r**2 - 4*r + 9. Calculate d*x(n) + 5*y(n).\nAnswer: 3*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320*v**2 + 1634*v**2 - 4969*v**2 + 1783*v**2 + 930*v**2 + 1676*v**2.\nAnswer: 2374*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825521014.\nAnswer: 2, 61, 14963287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4\/11 - 332*h**3\/11 - 17054*h**2\/11 + 219920*h\/11 - 369000\/11 = 0.\nAnswer: -50, 2, 9, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*j - 38 = 0, 2*n + j - 160 + 51 = 0. Suppose n*c - 60*c = -3073. Calculate the remainder when c is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*g + 4*y + y, g + 5*y + 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:20 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 59\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jjjwjjjjjwwj.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1064 + 733. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 + 306844 - 306844 + 5*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2590 divide 70410967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31966.\nAnswer: 2, 11, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 7*d**6\/24 - 17*d**4\/12 + 11*d**2 + 11. Let i(b) be the second derivative of g(b). Find the second derivative of i(q) wrt q.\nAnswer: 210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h. Let c(s) be the second derivative of s**4\/6 - 5*s**3\/6 - 10*s. Give 4*c(t) - 10*i(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153846, -153590, -153348, -153126, -152930, -152766, -152640?\nAnswer: -152558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4678 - 2657. Suppose -a + 2*w = -4*a + c, -w - 3364 = -5*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27513745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 4151488\/836 - 6\/76*(-20)\/15 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*h = -5, -h + 5 = 2. Sort q, -2, -1, -4 in descending order.\nAnswer: q, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101535 or 913813\/9?\nAnswer: 913813\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -119*m**6\/30 + 65*m**2 + 65*m. Differentiate s(o) wrt o.\nAnswer: -476*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p - 20. Let s be p + 154044\/56 + 2. Let x = -2754 + s. Calculate the common denominator of 85\/18 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/22 - 582\/(-4) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 4*c + 1 - 4 - c - 3*c**2. Let n(a) = -6*a**2 - 13*a - 5. Let p(y) = 3*n(y) - 5*s(y). Find k, given that p(k) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9111335 nanograms in milligrams?\nAnswer: 0.0000009111335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165996 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168206231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*l**3 + 26*l**2 + 21*l**2 - 47*l**2.\nAnswer: -88*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05229 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + 8. Let i(l) = -l**3 + 6*l + 1. Let z be i(-3). Let o = z + 5. Calculate the remainder when f is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/20 + 7*f**5\/30 + 11*f**4\/24 + 10*f**3\/3 - 68*f**2. Let y(z) = -2*z**3 + 5*z**2 + 4*z + 7. Give 4*c(g) - 11*y(g).\nAnswer: -2*g**3 + g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:50 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -320 - -318. Which is smaller: 2.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*o = -89*o - 74*o + 358*o + 11780 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.7 and -0.128923.\nAnswer: 3.3133211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807825 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 6. Let x = -3.9 - p. Let s = -0.9 - x. What is the nearest to -2\/3 in 2\/15, 4\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 - 0.1. Let j = 0.136 - x. What is j rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8444.\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20571283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 358627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3834179 hours in milliseconds?\nAnswer: 1380304.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -12*n - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31965*x - 14825*x - 12802*x.\nAnswer: 4338*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(448)*2 + sqrt(7))*3 - ((-4*sqrt(7)*2)**2 + 2)).\nAnswer: -445 + 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122*b*j**3 - b*j**2*w + 41*b + 2*w - 1 wrt j?\nAnswer: -366*b*j**2 - 2*b*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80468761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*g - 4*p + 1, -g - 12 = -5*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000556703455 rounded to six decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: d9534 (base 16) to base 13\nAnswer: 252232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = u. Let o be 2\/u - 18\/(-8). Let z(k) = 2*k + 2. Let j be z(o). Solve -2*c - j = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*j**3 + 10 - 8 - 7*j**3)*(3*j + 2*j - 7*j).\nAnswer: -58*j**4 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 244*a + 261. Is w(32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose x = -3*b + 1 + 17. Let a be (-1)\/((2\/(-35)*-5)\/(-2)). Are b and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022154537 to 5 dps.\nAnswer: 0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/210*7*0. Let h(u) = u + 36. Let c be h(s). Suppose -4*q + 200 = 4*i, q - 9 - 61 = 4*i. What is the greatest common factor of c and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.7, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -3*s - 3696. Calculate the greatest common divisor of s and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:07 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = -2*n, -3*n - 2*s + 5 = -0*n. Suppose -2*y - 6 = -5*a + 4, n*y = 25. Suppose 0*g + 4*g + 4 = 4*c, -4*g + 12 = a*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 2*p + 5. Let j be x(0). Suppose 0 = -y + 5*d + 5, y + j*d - 19 - 6 = 0. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8752 + 5?\nAnswer: 8757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -764 and -2?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 4808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**6\/8 + y**5\/120 + y**4\/24 + 7*y**3\/6 + 6*y. Let x(l) be the second derivative of j(l). Is x(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/2 (c) 2\/25 (d) 266802\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1487258*k**6 - 28600*k**2 - 2*k - 2 wrt k?\nAnswer: -178470960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 4\/5*x**5 + 21 + 0*x**3 + 0*x**4 - 23*x + 0*x**2. What is the derivative of l(n) wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*4\/(-4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {u: 3, r: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:19 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -1\/8, -23\/35, 278?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 7*b + 2*b)*(2 - 2 + 2) - 8*b - 2 - 10*b + 8*b + 0 + b + 0 - b - b + b + 0*b - b + 2*b + (1 + 3 - 3)*(4*b - 2*b - b).\nAnswer: -12*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 87*u + 5470. Give h(-63).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1278.5 - -1278.3. Put 0.5, 19\/3, -2\/9, -1\/3, p in ascending order.\nAnswer: -1\/3, -2\/9, p, 0.5, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33438 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:44 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 101*w - 988. Let k be i(9). Solve -k*g + 492 = 488 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32772616*k**3 + 39103136*k?\nAnswer: 196635696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 - -5) - -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/15))\/(t*t**(-13)))\/(t\/(t\/(t*t\/(t**(-1)\/t))))**(-21) assuming t is positive.\nAnswer: t**(1457\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -504021449771 and 0.2.\nAnswer: -504021449770.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15 + 12 - 6*b + b**2 - 6*b**2 - b**3. Give a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119521421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(4704\/12348*(-3)\/(-8))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthhzzzzz. What is prob of sequence hz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*s + 6 = 1, 0 = -3*s - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -2. Let i = 14 + -9. Solve 3*k - i*k + q = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.8319 and 2.0405.\nAnswer: 1.2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/616)\/((-3)\/2 - -2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.372 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 35798050 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 114. Let f(n) = -620*n + 9. Give f(a(j)).\nAnswer: 1860*j - 70671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:46 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, 18 in decreasing order.\nAnswer: 18, 6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:35 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:51 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 21. Let s(f) = 3*f**2 + 4*f - 5. What are the prime factors of s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1414703*45.\nAnswer: -63661635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-36))\/(10\/(-39)). Is w >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -3*f**6\/2 - 19*f**3\/3 + 2. Find the third derivative of v(d) wrt d.\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1053) + -1*sqrt(1053))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1702 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -521.\nAnswer: 1\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(3\/61). Let g be (50\/(-4))\/5*125\/(6625\/(-636)). Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0427, -0.07, -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rorohohorrorhrroohho. Give prob of picking 2 o and 2 h.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 - -1) + 230)*1. Suppose u - 70 = 7*j. Calculate the remainder when j is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1\/2*l**2 - 16 + 6*l. Calculate the remainder when 29 is divided by w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)*l)**(-16\/7))**37\/((l**(-1\/2))**(-36)\/(l*l**4\/l*l**2)) assuming l is positive.\nAnswer: l**(-380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2 - 467*i - 133. Let t be j(47). Let d = 1 - -2. Suppose d*m - 9 = -0*m. Solve 5*k - m = -t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1573) - (sqrt(1573) + 3)**2) - sqrt(117)\/(sqrt(1296) - (sqrt(1296) - sqrt(1296)*2)).\nAnswer: -1579 - 1321*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(133) - sqrt(133))*-5)\/(sqrt(28) + sqrt(1792)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 10, 2*h = -2*u - 2 + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 101, 237, 383, 545, 729, 941, 1187?\n\"Answer: q**3 - q**2 + 132*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 41*y - 1. Determine b(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {u: 1, p: 1, h: 1, b: 4, w: 8}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 289448 (base 16) to base 7\nAnswer: 31414232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n - 0, -5*s = 3*n - 1399. Let d = s - 62. Suppose -3*k + 21 = -d. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 15*v - 27. Let r be m(-17). Suppose -8*l + r*l + 13 = 4*a, 2*l + 2*a - 14 = 0. Put -6, l, 15 in descending order.\nAnswer: 15, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, r: 4}. What is prob of sequence fr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7060.844 days in seconds?\nAnswer: 610056921.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618, 2472, 5562, 9888, 15450?\nAnswer: 22248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 2, p: 1, o: 1, s: 2, j: 1}. What is prob of sequence spoh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 5*l + 8. Let g be n(7). Let y(v) = 637*v - 21. Let a be y(g). Let z = -1902 - a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 112*z**3\/3 + z - 3. Is s(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.4, 0.19, 729.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -36*n - 23. Let k(b) = -18*b - 12. Let f(z) = -11*k(z) + 6*r(z). Suppose -5*p + 13 = -4*h - 10*p, 2*h - 4*p = 0. Does 6 divide f(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 2 - (-1)\/(-1). Let b = -25370 - -25363. Put 4, 2, b, h in increasing order.\nAnswer: b, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 62*l**2 + l - 50. Let z(k) = k**3 + 31*k**2 + 25. Let g(x) = -4*j(x) - 7*z(x). Is g(-31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*n = -4*f + 13, 0 = 5*n + 25. Let v = -2 - f. Let r = v - 1. Which is smaller: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from yvyqqvvyyqvyqqpyyp.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -6 - -5) + 22 - 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kywvkrr. Give prob of picking 1 r and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 21*j + 7. Let o be m(11). Let z = o - 73. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2384*h**2*n**2 - h*n**2 - 5*h - 4*n**2 + 33*n wrt h?\nAnswer: 4768*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 - 21 + 21.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:16 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**3\/3 - 4*x**2 - 109*x - 26. Differentiate s(q) wrt q.\nAnswer: 4*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*c + 17375, -3*c + 2*c + 4337 = y. Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.65 times 53.4942\nAnswer: -34.77123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.78167 to 1 dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = 2*u - 0, 3*i - 5*u = 38. Suppose 147 = i*a - 231. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -113. Let p = 79.8 + w. Let m = p + -7. What is the second biggest value in -3\/4, 1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424722 to the power of 1\/2, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-219)\/2*(-10)\/15. Suppose -8*d + 9*d = z. Find the second derivative of -53*k - 6*k**3 + 2*k**3 + d*k wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkukfppfkpuv. What is prob of sequence fpuf?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/2 - 3*t**5 + 27*t**4\/4 - 7*t**3 + 3*t**2 + 5. Factor m(y).\nAnswer: 3*y*(y - 2)*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10576*c - 444316. Give k(42).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 9044314.\nAnswer: 9044313.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-20)\/(-16)) + 124251\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 4*h**2 - 1 - h**3 + 5*h**2 + 14. Let f be x(4). Let j = 106 - f. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 6 + 2*s**3 - 88*s + 86*s - 6*s**2 + 0 + 20*s**2.\nAnswer: 2*(s - 1)*(s + 1)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/6 + (-1)\/9*6. Solve f = n - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -3*u, 0 = 3*g + 2*g + 2*u - 17. Let f = 54 - 48. Suppose -5*b + d + 8 = 0, b + b = -d + f. Which is bigger: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 4. Let i(x) = -9*x + 7. Suppose 11 = q - 2*t, -61 = -5*q - 3*t - 58. Give q*i(j) + 5*f(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 5. Let n be a(0). Find the second derivative of -2*d + 4*d**n + 3*d - 5*d**5 wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -742?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13895\/6737 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 13) to base 11\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 16. Let g(d) = -2*d + 13. Calculate the remainder when g(-5) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -235, -323?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5648, 5653, 5670, 5705, 5764?\n\"Answer: c**3 - 2*c + 5649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/10271 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 688907 + -27149135965\/39409. Is l less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -46. Let h = u - -37. What is the smallest value in 1, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-14) + 507\/338. Sort -14.3, -5, -0.4, 2, q in ascending order.\nAnswer: -14.3, -5, -0.4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 8*h**2 - 8*h + 46. Give c(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.056999.\nAnswer: 0.0284995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1474.81 times -318\nAnswer: -468989.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8 - 6\/20. Let v = 0.356 + -0.056. Sort 12, v, o.\nAnswer: o, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (100\/24 - 4)\/((-2)\/(-8)). What is the closest to 1\/4 in b, -0.3, -1\/7, 5\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5408, 10863, 16332, 21821, 27336, 32883?\n\"Answer: l**3 + l**2 + 5445*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430)*2)\/(3*1*sqrt(5)))\/((-4*sqrt(200)*-1 + sqrt(200))*-6).\nAnswer: -sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*n*z - j*n + 4*j*z - n*z - 442 wrt z?\nAnswer: j*n + 4*j - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-264)\/(-4 + (-46)\/(-12)) + (-70)\/(-14).\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-45)*-10)\/((-8)\/(-12)). Solve -4*t - h - 9 = 0, -t + p*h = -3 + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2062182 is divided by 1316.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 5, u: 4}. Give prob of picking 2 o and 1 u.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -513, -505, -497, -489?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4, -1950, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 306\/13 (b) 0.5 (c) -80\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egft when four letters picked without replacement from twewwfg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3262953156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-8))\/d**(-2\/11))\/(d\/(d\/(d**(-5)*d)*d)*d**(-6)*d)*(d**(-2\/7))**(-46)\/(d**(2\/13)*d\/d**(-5)) assuming d is positive.\nAnswer: d**(10181\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 8:06 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3087045 and 43\/2808.\nAnswer: 24696360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -302, -109, 276, 853?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 13*i**6\/720 - i**5\/20 + i**4\/2 - 4*i. Let z(n) be the third derivative of b(n). What is the units digit of z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16a (base 11) to base 3\nAnswer: -21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/39)*o))\/(o\/(o\/(o\/(o*o*o**(2\/9))*o))) assuming o is positive.\nAnswer: o**(32\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19722751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*g + 36 = 0, 3*g + 36 = -9*k + 11*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237.837 - -238. Let x = f - 2.163. Which is the nearest to x? (a) 0 (b) -0.2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (7 - 16)) + (-21)\/(7 + -10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 277*r**2 + 3501*r + 19964639.\nAnswer: 554*r + 3501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m**(-2))\/((((m\/(m*m**7*m))\/m)\/m)\/(m**2\/m*m))*((m**0*m)\/m)**6*(m*(m**(-7)*m)\/m)\/m*m**(-2\/11) assuming m is positive.\nAnswer: m**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**5 - d**4 + 1. Let a(t) = -5*t**6 - 6*t**5 + 6*t**4 + 18*t**2 - 6. Let n(z) = -a(z) - 6*x(z). What is the third derivative of n(p) wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 63. Let n(q) = q**2 + 3. Let y be n(5). Does y = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 18191*l + 6791855. Give s(366).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35950748 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**5 + 70*n**4 + 453*n**2. Let o(s) = -s**5 - 36*s**4 - 227*s**2. Let h(x) = -2*g(x) - 5*o(x). Find the third derivative of h(k) wrt k.\nAnswer: 60*k**2 + 960*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 9*c**2 + 4*c - 28. Let b be n(-8). Factor 1\/5*w**3 + 0*w**2 + 0*w + 1\/5*w**b + 0.\nAnswer: w**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36941, -36959, -36977?\n\"Answer: -18*f - 36923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112097591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2 + 2 - 8*y - y**2 + 1 + 7*y. Let g(h) = -h**2 + 2*h. Let x be g(2). Let k be (x\/(-2))\/(4\/(-2)). What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usus when four letters picked without replacement from {s: 3, u: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p = 31*p + 162. Which is smaller: -53 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from ffnjdnob?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (12 - 19520\/416)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 483144, 966249, 1449354?\n\"Answer: 483105*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1020 by 5.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 0*r - 3\/2*r**4 - 1\/6*r**6 - 1\/2*r**2 - 1 + 4\/3*r**3 + 4\/5*r**5. Factor s(i).\nAnswer: -i*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -22. Let h = -2\/25 - 13\/25. Which is bigger: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 4*c + 93067 = 0. Suppose -4*k - g = -c - 572, 4*k - 7716 = -4*g. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*j**2 - j + 261*j**2 + j + 5*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1566 (base 13) to base 4.\nAnswer: -300312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54062090 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -450*r**4\/7 - 19860*r**3\/7 - 295472*r**2\/7 - 1679360*r\/7 - 3145728\/7 = 0. What is r?\nAnswer: -256\/15, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36980 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 a when three letters picked without replacement from {u: 2, t: 2, w: 1, a: 1, f: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 e when four letters picked without replacement from {e: 3, n: 12, q: 3}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7541657076.\nAnswer: 2, 3, 628471423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -18 + 67*i + 24*i - 18 + 16*i. Is y(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 6*y + 147. Let i be (6\/y)\/(4\/56). Let q be (5 - 1) + (0 - i). Solve q = -5*n + 4*u - u - 17, 5*n = -2*u - 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1629*o**2 - 6*o**3 - 450*o + 7*o**3 + 2078*o**2 = 0?\nAnswer: -450, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/120 - b**3\/2 + 10*b. Let n(f) be the second derivative of g(f). What is n(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 277.4634mm?\nAnswer: 277463400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -193\nAnswer: 3\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 153 = 4*t - o, -4*t = -3*o - 135. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -18*v. Suppose 4*w = 2*m - 5*m + 855, -4*m + 20 = v. Suppose -c = 5*c - w. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 13) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85915*m**2 + 4017?\nAnswer: -171830*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*4*29\/(1044\/54).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2\/4 - 281841*g\/4 - 281839\/2 = 0?\nAnswer: -281839, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 33*k + 6. What is the units digit of t(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.6336l in millilitres?\nAnswer: 535633.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.2 - 8.2. Let f = -2.97 + -0.03. Which is bigger: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - 55\/(-33). Let y(p) be the first derivative of 0*p + c + 0*p**2 - 1\/3*p**3 + 1\/5*p**5 + 0*p**4. Factor y(t).\nAnswer: t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -127630, -510225, -1147890, -2040631, -3188454?\n\"Answer: -y**3 - 127529*y**2 - y - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(20\/45)\/(-2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201102110 (base 3) to base 9.\nAnswer: 51373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-528)\/(-9) - 6\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207612 is divided by 8299.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10.438?\nAnswer: 8.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166 + 0*f**2 + 3*f**2 - f**4 - 3*f**2 + 0*f**2 + 3*f wrt f?\nAnswer: -4*f**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 25 - (0 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/((-14535)\/2774) + 0 + 11 and 2\/(-4)*222\/(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -13*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12297 divided by 1?\nAnswer: -12297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80753.69l in millilitres?\nAnswer: 80753690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 973 + 129807 = 260*u. What is the third smallest value in u, 3, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(2 + -6*3*(1 + sqrt(288))))**2 + -1.\nAnswer: 746496*sqrt(2) + 10105343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {z: 5, p: 4, c: 1, t: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.3, 5.45, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/(-18) - 18\/(-2106)*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6855 + 2945 = -200*k for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 241.70176 and 99533.\nAnswer: 99774.70176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*y + 2, -3*f - y + 4 = -5*y. Suppose f*u + 86 = u. List the prime factors of u.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/4)*f**6*(f*f**(-6))\/(f\/f**(-1))*((f\/(f\/f**0))**(-22))**(-1\/24) assuming f is positive.\nAnswer: f**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*((367*g - 179*g - 167*g - 1)*(0 + 4 - 2) + (-4 - 2 + 4)*(g + g - 3*g) - g - g + 4*g) in the form q*g + b and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 31*k - 28. Calculate i(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-23)\/r*r)*r)\/(r\/(r**6*r))*(r**2)**(-23))**1 assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48 + -3 + -19 + 3 + -3\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9650 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389946.2 less than 1.08?\nAnswer: -3389945.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892924\/21224 + 0 + (-1)\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*25\/45*-2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48800\/9? (a) 11\/15 (b) -6\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1869*q + 30599 = -22*q - 6341 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73380087 - 2?\nAnswer: 73380085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3) + (-3530)\/(-30)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 308, 312, 320, 332, 348, 368, 392?\n\"Answer: 2*j**2 - 2*j + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r + 11565 = -r. Suppose -46*z + r = 27. Solve 6*m - 20 = m + 4*k, -k = z*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c + 20 = 0. Let y be c\/(-20) + (-2)\/10. Factor y*n + 2\/5*n**2 - 2\/5.\nAnswer: 2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 - (15 - 25)) - (10 + -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -1\/135*d**5 - 1\/27*d**3 - 1\/1512*d**8 + 1\/315*d**7 - 2*d**2 + 0 - 1\/270*d**6 + 0*d + 1\/36*d**4. Factor f(x).\nAnswer: -2*(x - 1)**4*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1085195 - 1749655. What is z rounded to the nearest ten thousand?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (14 + (18 - -2) + -33 + 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22179 + 22461. What is the remainder when g is divided by ((-1)\/2)\/((-2)\/284)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-393)\/12 - (-2)\/(-8) - (425 - 430). Suppose 5*u + 16 = 6. What is the units digit of (u\/1)\/(8\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 29*h**2 - 2*h - 1. Calculate g(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 15) to base 16.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*w - 51*w = -7869440. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {j: 1, c: 2, v: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 88 = -213 + 105 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-50)*9\/((-405)\/(-60)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 886625017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2933370 is divided by 494?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000100 (base 2) to base 10.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minus -0.02?\nAnswer: 107.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 12:03 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-30)*(-10044)\/4464)\/((-6)\/320)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and (-21756)\/(-39) + (-18)\/78*(-2)\/3.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148.04 + -38.79. Round l to 0 decimal places.\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.43232 milliseconds to hours.\nAnswer: 0.0000812312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2249 + 2248.6. Which is the nearest to -0.1? (a) 3\/139 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.7, 0.11, -2, -49?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*b**2 + (-2*b - 3*b + 6*b)*(-2*b + 0*b + 0*b) - 2*b**2 + 2*b**2 + 2*b**2 - 2 - 328*b + 328*b - 6*b**2.\nAnswer: -8*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5)\/20 - (-123985)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34634, -138683, -312106, -554909, -867098?\n\"Answer: -a**3 - 34681*a**2 + a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*w**2 - 8*w**3 + 30*w - 91*w + 34*w - 1 + 27*w as p*w**2 + h + m*w**3 + f*w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*l**3 - 21*l**3 + 70*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/995*-6*3\/9. Let s = x - 293\/9353. Is s <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d = 109*d - 364. Let c = 92 - d. Sort 7, c, 4, 2 in increasing order.\nAnswer: c, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 + 4*h**2 - 79*h - 4. Let k(x) = -2*x**3 - 3*x**2 + 78*x + 3. Determine -4*k(j) - 3*m(j).\nAnswer: -j**3 - 75*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 - (17 + (2 - 1 - -4))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/2 + r**3\/3 + r**2\/2 + 1. Is a(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 1174\/7. Which is the biggest value? (a) x (b) -1\/3 (c) 2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85404435 + 95823768851\/1122. Let c = i - -159\/34. Calculate the common denominator of c and (-1 - -1) + (-232)\/60.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/2)\/(-13)*0. Suppose g = 20*w + 17*w - 1809559. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 319 (b) -0.1 (c) 1\/10 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -955102 - -955111.000008. Let d = -13.5 - -4.5. Let t = z + d. Round t to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = -4*f. Let x = 4 - 1. Suppose 0*n - x*n + 42 = f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107902370 by -21580474.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = j + 36. Let q be -4*((-3)\/j + -1). Let b(d) = d - 4. Let u be b(q). Is -9\/8 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 41 = -n, 2*n - n + 5*f - 2 - 2 = 45 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/138 and 77\/288.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {y: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3398\/7 or 484?\nAnswer: 3398\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(10)\/sqrt(2).\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3.266 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3726\/(-110))\/23 - 174\/(-145)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-270)\/(-84)))\/((-2)\/(-3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*v + 1594 = 8609, -v = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10458.06 - 10422. What is x rounded to one dp?\nAnswer: 36.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6307 and 28567.\nAnswer: 485639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4010 + 4011.6165. Let n = f - 1.6. Round n to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6565 + 6568. Which is the third biggest value? (a) -23 (b) 0.5 (c) z (d) -0.4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 73, 112, 189, 316?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/8, -35, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let q = -0.5 - -0.3. Let l = 0.8 - q. Put l, j, 2\/11 in descending order.\nAnswer: j, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-155)\/163680)\/((-16)\/(-264)).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, -307, -2, 0.5 in descending order.\nAnswer: 3, 0.5, 1\/4, -2, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2\/4 + 1043541*o\/4 + 626103.\nAnswer: 3*(o + 69567)*(5*o + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*x**2 + 4 + 5 - 9 in the form y*x + k*x**2 + t and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14247 and 29727.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -6. Let f = -8 - -27. Let a = b + f. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**3 + 13*v**2 + 25*v + 9. Let l be x(4). Which is the smallest value? (a) 0.06 (b) l (c) 2\/35 (d) 4\/3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22755701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 4)*(3*d**2 + 4*d - 4*d) + (-4 + 2*d**2 + 2 + 4)*(-1 - 2 - 1) to the form m*d**2 + y*d + b and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.293914?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6793*b**4 + 127*b**2 + 8?\nAnswer: -163032*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11360859*w = 11361270*w - 42744 for w.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 7*c = 8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245580 is divided by 12236.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1107, -2332, -3567, -4812?\nAnswer: -6067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17) + (sqrt(612) - -2*sqrt(612) - sqrt(17)) + 1 + -4*sqrt(51)\/sqrt(3) - -4*(3*(sqrt(612) + -1) + sqrt(612))*4)**2.\nAnswer: -39004*sqrt(17) + 2695269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1927 - -2017. What is the smallest common multiple of c and 42?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628444561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2781191 is divided by 1566?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 386, 4 in descending order.\nAnswer: 386, 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g + 130*g - 755. Let p(y) be the second derivative of -2 - 1\/20*y**g + 1\/6*y**3 + y + 0*y**4 + 1\/2*y**2. What is p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 671, 999, 1343, 1709, 2103, 2531, 2999?\nAnswer: 3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 777881 and 225992?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5306122 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29055*b - 5466*b + 63709*b + 59410*b.\nAnswer: 88598*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -82. Let k = y + -32. Solve -n - k*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 484628140 to the power of 1\/2, to the nearest integer?\nAnswer: 22014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(1216) - (sqrt(1216) + -1))*-6*6)**2.\nAnswer: 291600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(8\/((-144)\/(-2)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -1 + (17 - 26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.168 - 0.249. Let s = 0.0686 + v. Round s to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (0 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(208) + sqrt(208) + 2)**2.\nAnswer: -80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l - 5. Suppose l*n = 3*n - 4693240. Suppose -3*x + 16760 = -n. Round x to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + -36028.4.\nAnswer: -36028.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 45 (c) -26300 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-6)\/10 + 1). Solve 5*a = 3*c - 40, 3*c - x*a - 25 = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 5. Let b = -23 + 16. Let t(u) = -3*u**2 + 4. What is b*t(f) - 6*i(f)?\nAnswer: -3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r - 4*r. Let b(f) = 1 - 5*f - 4*f - r*f. What is the units digit of b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoa when three letters picked without replacement from {o: 13, a: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l - 2*l)*(203*l**2 + 139*l**2 - 412*l**2)*(-2 + 2 + 2*l).\nAnswer: 280*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -4026101?\nAnswer: -4026102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**4 + 1521*t + 1529.\nAnswer: -4*t**3 + 1521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9714935 divided by 41695?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11225 by -5.\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2083*h + 773 - 7768 = 15918 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6)*(-8)\/6. Let t = 3 - p. Suppose 927*m - 322*m = 3025. Solve -m*i + 19 = -t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14 - -2 - 1*-1. Let b = -10 - y. Which is greater: b or 1\/19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 57509*h + 229813. Determine b(-4).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 9*i - 14. Let v be g(6). Let w be (0 - (-6)\/4)*2. What is the first derivative of w - v*m**2 + 4*m**2 - 1 - m**2 wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1611*u**2*w**2 - 93*u**2 + 14720*u*w + 11*w**2 wrt w.\nAnswer: 3222*u**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18355 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2785 + -2778. Is h less than or equal to -254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 38*i + 49. Let f(t) = -20*t - 28. Let k(j) = 7*f(j) + 4*r(j). Let x(m) = -28*m. Calculate x(k(b)).\nAnswer: -336*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 47 = a, a = 3*d + 2*a + 37. What is the tens digit of 28*-5*d\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/176 in 0.3, 3, -8.7, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35 - 63 + 57*g - g**2 - 362*g**5 + 97 + 83*g**5 wrt g?\nAnswer: -5580*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176747 and 3291.\nAnswer: 581674377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = -j - 4*j, 2*j - 11 = 5*f. Let i be 1682\/232 + j\/4. Solve -9*m + 3 = -i*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 12 = 4*f. Suppose -3*g - 5*q = -29, -q + f + 4 = g. Suppose 0 = -g*x + 5*x - 32. What is the lowest common multiple of x and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*c*o**2 + 2*c*o + 92*c - 6*o**2 - 1 wrt o.\nAnswer: 18*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 14 + 74*i - 804*i + 18 - 9 in the form d + n*i and give n.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3947\/15 + 263. Which is the third biggest value? (a) z (b) 1 (c) -2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -f + 2*p, -7*f = -2*f - 2*p - 85. Let l be (-21)\/f - 2\/(-5). Is (-7189)\/(-28) + l\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4070536 - -13?\nAnswer: 4070550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (5 + sqrt(432)*1))**2 + 0 + (sqrt(9)*-1)\/sqrt(3).\nAnswer: -sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.02 - -0.02. Let p = -23 - o. Let w = p - -10.0048. What is w rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201237368 by 25154671.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 59*x - 5. Let u(f) = -171*f + 14. Give -11*g(a) - 4*u(a).\nAnswer: 35*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.065? (a) -4\/7 (b) -157 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2102 and 659486735?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7 + 14. Which is greater: h or 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.118995 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -61 - -1.8\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 o when three letters picked without replacement from llxoool?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(1\/28))**45 assuming u is positive.\nAnswer: u**(45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 1\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhf. What is prob of sequence fh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 1, h: 4, f: 7}. What is prob of sequence gfgy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10549 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.05095 - -5.47374.\nAnswer: 8.52469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (34 - 12)) + 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, -200\/7, 19, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a factor of 12167200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 35470853?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrrrsrrrsrsrsrrrr. What is prob of picking 3 r?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 22102?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let h be w(4). Suppose -3*y + 134 = y - h*p, 4*y = 4*p + 136. What is the highest common divisor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - k**2 - 2*k**2)*(-3*k**2 - 9 + 9) - 95*k**4 - 10758*k + 10758*k.\nAnswer: -98*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 5 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 + 6 = 0. Let o(g) be the third derivative of -g**5\/12 + g**4\/3 + g**3\/3 + 3*g**2. Let z(v) = 2*v**2 - 3*v - 1. Calculate w*o(c) - 8*z(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0.1, -180?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 7. Let b be y(4). Let h = 21 - b. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7539 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4146\/713 or -7?\nAnswer: -4146\/713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - 117. Let r be 12\/(-8) + 58\/44. What is the closest to 0 in 0, v, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c - 11*c + 10*c)*(-16 + 2 + 90).\nAnswer: 1444*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -302884 (base 10) to base 11\nAnswer: -19761a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6499 - 6719. Which is smaller: -215 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3 + 8 + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/70)\/(5\/25). Let q = -323\/45 - -37\/5. What is the third biggest value in q, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 87*f**2 + 1403*f - 11. Determine q(-14).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 456 and 2736.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3531*h - 990. What are the prime factors of m(-8)?\nAnswer: 2, 3, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 23*b**2 + 37*b + 110. Let l be u(-22). Suppose -q - 3*q - 884 = 0. Is q at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5414, 11165, 17612, 25115, 34034?\n\"Answer: 60*w**3 - 12*w**2 + 5367*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 - -b?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + c = -19, -45 = r + 4*c - 34 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 4 + 4 + -1. Suppose 59 - 279 = -44*p. Solve g*y = -p*o + 7, -2 = -5*o - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-432)\/(-32))\/(((-19)\/(-2))\/(-19)*-1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 + 4 + -5. Let y be ((-4 - 4)\/(-4))\/((-1)\/z). Solve -v + y*u = 3*u, 5*v - 3*u = 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 81. Suppose s = 2*v + 2*v. Let y(o) = -o. Calculate the lowest common multiple of y(-6) and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121948794.\nAnswer: 2, 3, 11, 239, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2952*u**3 - 8 + 19 - 2*u**2 - 10 - 1 to the form q + f*u + t*u**3 + l*u**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1023 (base 4) to base 10\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(168)*-2*2)\/(-1*sqrt(800)))\/((-4*(sqrt(14) - sqrt(42)\/sqrt(3) - sqrt(14) - sqrt(14)))\/(3*sqrt(32))).\nAnswer: 3*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 27*v + 24 = -26*v, 1133*z - 2*v - 17 = 1130*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by -134445.\nAnswer: 21\/44815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*z**2 - 6799 + 13599 - 6800.\nAnswer: -272*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 + c**2 + 4*c**2 + (c - c + 8*c)*(0*c - 2*c + 4*c) - c**2 + c**2 + 2*c**2 to the form u*c + o*c**2 + f and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (119\/28 - 5)\/((-2)\/88). Let v = 0.6 + 0.4. Is v < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/5 + 28*n**2 - 576*n\/5 - 144.\nAnswer: -4*(n - 30)*(n - 6)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 255, 2, 2\/67?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(4 + (-260)\/75)*(-33)\/(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/300 + 3*z**4\/8 + 23*z**3\/15 + 11*z**2 + 8*z. Factor p(l).\nAnswer: -(l - 46)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -2)*6\/(522\/(-841)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 4*r + 1. Calculate the remainder when 195\/((-26)\/2) - -19 is divided by b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7993, -16055, -24131, -32227, -40349, -48503, -56695, -64931?\n\"Answer: -a**3 - a**2 - 8052*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34569 and -6?\nAnswer: 34563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66128 divided by -2\nAnswer: 33064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -43*t**2 + t**3 - 8*t + 18 - 4 + 38*t**2. Calculate m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*l - 30*l = -54*l - 23810 + 2826 for l.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/349310 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 1:46 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**4)*u**3\/u*((u**(2\/3)*u)\/u)\/u**(-4))\/((u**(4\/9)\/u*u)\/(u\/u**(-2\/15))*(u**(-3\/7)*u)\/(u*u**(-4)*u*u)) assuming u is positive.\nAnswer: u**(3082\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72482 and -5?\nAnswer: -362410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + (4 - 17\/4). Suppose v = -5*q - o + 3*o + 917, -2*q + 378 = 2*o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.6 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 15*o + 38. Give d(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 5. Let r be g(0). Suppose 44 = -3*l + r*l. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Suppose -19 = -3*b + 2. Suppose 2*h - 11 + b = u. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**3 - 2*o**2 - 2*o + 18. Let c(q) = q**3 + q - 1. Let z(p) = -3*c(p) + y(p). Does 39 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((4 - 6) + 1). Let v be 20\/(g\/(-1)) + 1. Round v to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*k + 299*k = -8038 + 73983 for k.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 5715434 = 735755 - 1661134. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 324113 - -243?\nAnswer: 324411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c = 35*c - 21*c + 198 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2. Let k(r) be the first derivative of -82*r**2 + 131. Give x(k(s)).\nAnswer: 26896*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-16)\/6*3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/87? (a) 177\/7 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4*(-9)\/(-24))\/(6\/(-16)). Let l be (-12)\/8 + 129\/6. Suppose -2*i + 7*i + b = 4, 5*b = -3*i + l. Sort g, i, 3 in descending order.\nAnswer: 3, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-266)\/285)\/((-7)\/18)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 767416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 43.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 285*r - 278*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 3}. What is prob of sequence ooo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -429, -861, -1293, -1725?\n\"Answer: -432*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1038 or -1158369\/1117?\nAnswer: -1158369\/1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -591 + 593. Let o(n) be the first derivative of 9\/8*n**v - 3\/4*n + n**3 - 10. Factor o(d).\nAnswer: 3*(d + 1)*(4*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a**3 + 5*a**2 + 1\/24*a**4 + 0 + 0*a. Let k(t) = 33*t**2. Calculate v(k(j)).\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*b - t, -b + 6*b - 35 = 5*t. Suppose 8*y = 13 + 11. Let z(f) = -3*f**b + 2*f**2 - 3 + f + 2 + f**y. What is z(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -18 + 12 - 8) + (-2 - 5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 3*b - 2 + 2.\nAnswer: 3*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756 and 2737412?\nAnswer: 517370868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 25712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(400)*3*6)\/(sqrt(1980)\/sqrt(11) + (sqrt(150)\/sqrt(5))\/sqrt(6)).\nAnswer: 432*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 414 + 12*x - 101 - 104 - 112 - 108. Let k(f) = f**3 - f**2 - 2*f - 1. Let h be k(3). List the prime factors of z(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -25. Let d = 23 - f. Let r be (-2)\/3 - 770\/(-21). What is the highest common factor of d and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -20 + 18 + -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 182\/(-1312) - (306219\/1648 + -186)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 1664 + 808 = -778 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*n + 12 = 383*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 45?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffq when four letters picked without replacement from cqqcqcqqqqffqcffcf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.272 and -31432111150.\nAnswer: -31432111149.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/24 + 5 + 10 - 9\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 25. Let d be k(-5). Suppose 4*j + 4226 = j + n, 3*n + 12 = d. What is j rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t**3 - 13*t**2 - 6*t + 15. Let p(n) = 7*n**3 - 6*n**2 - 3*n + 7. Give -13*p(m) + 6*z(m).\nAnswer: -m**3 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -20. Let v = 13 - t. Which is the biggest value? (a) 1\/5 (b) -2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -1475. Suppose -3*x - 2038 = z, -x + 4*z + s = -3*x. What is the tens digit of ((-3)\/(-6))\/((-2045)\/x + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, 214 in decreasing order.\nAnswer: 214, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:09 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 - 29*y - 11. Let p be m(-5). Calculate the greatest common factor of p and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uiuiirriiiiiriio?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 72?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) -5 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64730 and 14710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, 55, 177, 349?\n\"Answer: 25*o**2 - 3*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3948.4332 milliseconds in hours?\nAnswer: 0.001096787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x**2. Let r(z) = 4*z. Let h(f) = -f. Let k(j) = 6*h(j) + r(j). Determine m(k(i)).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*m - 60. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.085*-0.2.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from kssskksgksgsgzsszkg?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 151734268997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b = 23*b + 490 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12975 is divided by 3239.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -517832*d + 258913*d + 258919*d + 2*d**2. Let m(r) = 1412*r. What is g(m(x))?\nAnswer: 3987488*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(6)\/(sqrt(3) + sqrt(12))*-2 - ((sqrt(2) - (5*sqrt(200))**2) + ((sqrt(242) - sqrt(2)) + 4 - sqrt(2))).\nAnswer: -32*sqrt(2)\/3 + 4991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215508530?\nAnswer: 2, 5, 21550853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22813?\nAnswer: 7, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = y - 13, 3*u = 2*y + 6 + 7. Let q(v) = -v**2 - v + 27. Let o be q(-6). Let m(x) = -7*x - 20. Let b be m(o). Solve u*t = 2*t + b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 4. Let b be t(-5). Let s = 2556 + -2370. List the prime factors of (1*(s - 5))\/b.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*g**3*k*o - 18*g**3*o**2 + 2*g*k*o**2 + 2*g*k + 4*g*o**2 - 3*o wrt k.\nAnswer: -41*g**3*o + 2*g*o**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 26 = 4*a - 3*z, 3*a - 36 = 4*z. Suppose 5*l - a = -l. Suppose -3 = -c - b, -6 = -l*c - 3*b + 5*b. Solve t + c*r + 1 = -0, 4*t = -4*r - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1169 + 1175. Put p, 3, -3, 5 in decreasing order.\nAnswer: p, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 125993886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*p - 5, -3*s - p = 3*p - 17. Suppose 81 = 3*q - 4*x, 24*q - 20*q - 108 = -x. What is the greatest common factor of s and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530393?\nAnswer: 530393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5481 = 16*y - 3159. Is 30 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0*p + 4*p - 4 + 3. Let q be l(1). Suppose q*y = -2 + 26. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 104\/(-2)*(-9 - -8). Suppose 5*a + 42 = q. Solve -4*b + 23 = v, -2 = a*b - 0*v - 4*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1774543 centuries in years?\nAnswer: 17.74543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 0*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = 0, 5*i = -4*z + 4592. What are the prime factors of z?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 167. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 - 32*l**3 + 16*l**3 + 13*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*q**3 - 37*q**3 + q**3)*(-5*q + 2*q + 0*q).\nAnswer: 219*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46670 or 0.3?\nAnswer: -46670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7470 (base 9) in base 4?\nAnswer: 1111302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 2, -4.48, 42?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-58)\/56 + 24\/32)\/(5\/(-101395)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.13, 5, 6\/13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -1. Let t be (0\/(-3) - 0)\/1. Let n(k) = -3 + 7*k - 4 + t*k. Let s(h) = -10*h + 10. Calculate p*n(d) - 5*s(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -b + 2, 2*b + 0*b + 3*a - 4 = 0. Let s be 12\/(-1)*b\/4. Let n(k) = k**3 + 9*k**2 + 6*k - 5. Is 14 a factor of n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5083 - -5080. Which is the second smallest value? (a) g (b) -9\/2 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686360 divided by -4.\nAnswer: -421590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 - 134. Let c = 1 - -35. Factor -39*j**3 + 0*j - c*j**v + 0*j**5 - 3*j**5 - 12*j - 18*j**4.\nAnswer: -3*j*(j + 1)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20067647 is divided by 4130.\nAnswer: 4107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -302300 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(448) - sqrt(448)) + 1 - sqrt(448))**2.\nAnswer: -16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from llilbfblww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:39 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (32 - 86) + -41.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - h)*(-1 - 1 + 1) - 573*h - 1575*h - 83*h - 393*h.\nAnswer: -2623*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g**3 - 2 - 46*g**2 + 22*g**2 + 22*g**2 + 2*g**3 - 3*g. Calculate t(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.161 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -467, -931, -1395, -1859?\n\"Answer: -464*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o - 20. Let v be i(-6). Let j be (18\/(-5))\/((-21)\/v). Suppose -j*t - t = -130. Which is greater: t or 45\/4?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 + 909*c**3 - 10476*c**2 = 0 for c.\nAnswer: 0, 12, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -570.0208 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**3 + 20*s**3 + 40*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (-121 - -113 - (1 + -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 12*o - 672 = -r, -r - o = -702. Calculate the greatest common factor of 164 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152640 and 12720?\nAnswer: 152640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2842456 + -3?\nAnswer: -2842460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31395.42 minus -18.7?\nAnswer: -31376.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -1 - (-9)\/3. Let b be (-4)\/(-6)*-6 - -2. Is 55\/(1\/(n - b)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -558, -4, 0.02, -1\/4, 5\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 4194*t - 638127.\nAnswer: (t - 147)*(t + 4341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170907.\nAnswer: 3, 11, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2, -320, -5, 2\/13, -16 in ascending order.\nAnswer: -320, -16, -5, -2, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 3*b**3 + 4*b**3 - 4*b**3 + 0*b**3 + 2*b**3 + (b - 2*b + 0*b)*(-3 - b**2 + 3) - 2*b**3 + 4 - 4 + 198*b**3 - 395*b**3 + 204*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1601 - 2340.4.\nAnswer: -3941.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -296*p + 303*p - 34895. Is p 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 fkfyddsfkf. What is prob of picking 1 d and 1 k?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 109, 0, -3, -1 in descending order.\nAnswer: 109, 0, -1, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 828 and 44643.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w + 2*w)*((3*w**2 + 5*w**2 - 2*w**2)*(2*w**2 - 3*w**2 + 2*w**2) + 5*w**4 + 5*w**4 - w**4).\nAnswer: 30*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54.8 + 55. Put x, -4\/5, 0, -4 in decreasing order.\nAnswer: x, 0, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28430 (base 14) to base 13.\nAnswer: 36454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - m + 6*m + 22 = 0, -31 = 3*r - 4*m. Let l be (1 - 4) + r\/(-3). Solve -4*k - 14 - 6 = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*j - 36, 5*j - 4*z - 63 = -18. Solve 19 = 3*l + j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51948521 to 3 decimal places.\nAnswer: -0.519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3697614*z + 3697614*z + 9376*z**2.\nAnswer: 9376*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -402 - -415. What is the remainder when 116 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368181 is divided by 184063.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3832 = -2*v - 6*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19601 divided by 17?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 + 8*w - 16. Let n(y) = y**2 - 1. Let o(k) = -h(k) - 2*n(k). Let d be o(9). What is the highest common divisor of d and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*l + 9. Suppose 2*t = t + l. What is the remainder when 60 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (7 + -27) - (-1 + 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, z: 2, q: 5, i: 1, l: 2}. What is prob of sequence il?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 788500 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**9\/3024 + q**8\/840 - q**7\/840 - q**3\/3 + 2. Let w(m) be the third derivative of j(m). Factor w(g).\nAnswer: -g**3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-70))\/(2\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cooh when four letters picked without replacement from choqccocgofqhogcoqhc.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12964 divided by -6482\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 14387541?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d + 41. Let f be n(-7). Let x(o) = -o**3 + 1. Let v(u) = -2*u**3 + 9*u**2 + 10*u + 26. Let a(l) = v(l) - 3*x(l). Is 3 a factor of a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -62*q - 100. Let c be ((-1)\/((-1)\/12))\/(6\/(-9)). What is the thousands digit of g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 167 - 165755?\nAnswer: -165577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4549*v**2 + v + 1. Let w(q) = -4543*q**2 + 1. Calculate 2*j(l) - 3*w(l).\nAnswer: 4531*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - -56) + (-2 + 2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7840 is divided by 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.622 and -591.\nAnswer: -588.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:42 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4, 2*i - 96 = -3*p - p. Suppose u + 3 = -3. Let x be u\/(-3)*p*4. What is the highest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let z be 1 + 5 + (-6)\/l. Suppose 4069 = -3*s - 3*d + 166, -d = -z*s - 5199. What is s rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4207499, 8415001, 12622503, 16830005?\n\"Answer: 4207502*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, l: 4}. Give prob of picking 3 l.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 41. Let v = -10 + 14. Suppose -4*w + 180 = v*f, 6*f - f - 225 = -4*w. Calculate the highest common divisor of f and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k**2 + 394*k + 537. Give l(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/12 - 7*h**3\/6 - 3*h**2. What is the first derivative of q(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 353, 602, 853, 1106?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 7 = 4*r - 15, 4*i + 12 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 249fa?\nAnswer: 249f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6766 rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 306, 516, 886, 1434, 2178, 3136, 4326?\n\"Answer: 3*f**3 + 62*f**2 + 3*f + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 20*n = 20*n + 480 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-344)\/64*(-8)\/(-6). Let w = 9205\/1284 + m. Let q = w - 7067\/2140. Find the common denominator of q and 63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -1679, -3291, -4903?\nAnswer: -6515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*k + 85*k + 81*k + 87*k - 334*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j + 10. Let u be b(6). Let d be u + (-5)\/(5\/1). Let q = 46 - d. Let y(i) = -9*i**3 + i**2 - i. What is y(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 + -14 + 12)*8\/42 and 11\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465528 and 978.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -673847534\/5 or -134769507?\nAnswer: -134769507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 366208, 732414, 1098620?\n\"Answer: 366206*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i + 10 = -r, 4 = 3*i + 4*r. Calculate the smallest common multiple of 63 and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15603 - -5?\nAnswer: -15598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 15 - -2 - (-1 - (2 - 3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512341351.\nAnswer: 139, 997, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2124 and 375358?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1971531\/174470 + -2\/17447. Let d be (-345)\/6*(-1)\/(-5). Let s = u + d. Which is the nearest to s? (a) -4 (b) -0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765.1144 millennia to decades.\nAnswer: 76511.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131034 + 228335. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 16*v + 0 + 0*v**4 + 0*v**3 - 1\/3*v**6 + 0*v**5 - 19\/2*v**2. What is the first derivative of q(t) wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6717804 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.3 + 359.3. Let f = 300.877 - m. What is f rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12184?\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**2 - 2*b**2 + 0*b**2 as f*b**2 + i + v*b and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -88, -132, -178, -226, -276?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let a(d) = -209*d**2 - 76*d + 76. Let j(n) = 0*n - 5 + 11*n + 14*n**2 - 6*n. Let v(f) = -5*a(f) - 76*j(f). What is v(i(o))?\nAnswer: -76*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 22 + -14 + 121 + -40.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c**3 + 37*c**3 + 55*c**3 + 30*c**3 + 5*c - 22*c**3.\nAnswer: 68*c**3 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((20\/(-8))\/(-5)). Suppose 0 = 4*f + 2*c - 324, -5*f = g*c - 9*c - 405. Let k = -33 - -60. What is the greatest common divisor of k and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/5 and 62\/405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32a + 15ab4?\nAnswer: 1578a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.001197 and -0.1.\nAnswer: -12.101197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s**(7\/5)*s)\/s)*s*(s\/(((s\/s**(-2))\/s)\/s))\/s*s**(-7\/3)\/(s\/s**(-8))*(s\/s**(1\/4))**(-45)*s**1\/(s*s**6*s) assuming s is positive.\nAnswer: s**(-3149\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:28 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40423 + -5?\nAnswer: 40414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2\/9 + 14536*k\/9 - 2391340\/3 = 0.\nAnswer: 589, 3045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200223 + 3032433?\nAnswer: 2332210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111455940 is divided by 4537?\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-2)\/4)*(-32)\/48\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.07 + 0.07. Let n = -7 - h. Let m = -741 + 738. What is the second biggest value in 1, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -100221?\nAnswer: -101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 756862976 a multiple of 856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 6)*(-4*w - w + 3*w) - 4 - 2*w + 4.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 11*r**3\/4 + r**2 - 5*r\/4.\nAnswer: r*(r + 1)*(r + 5)*(2*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -450 and 0.2221?\nAnswer: -99.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*h + 4*h**2 - 111*h - 1.\nAnswer: 4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 + 1 - 27*g**3 + 26*g**3 to k + l*g**3 + w*g**2 + v*g and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 5*h. Suppose -3*v + u - 7 = 3, 15 = -4*v + u. Let n be (-1)\/v + 42\/(-10). Give r(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 290, 162, -292, -1180?\nAnswer: -2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x - 1621. Let k(t) = 6*t + 805. What is -5*a(v) - 9*k(v)?\nAnswer: v + 860","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42508.\nAnswer: 2, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1119 = 55*o - 52*o. What is the remainder when o is divided by 118?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2495136 and 2016?\nAnswer: 7485408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 4*m + 873 = 3*o, 5*o = -2*m + 433. Find the third derivative of m*i**3 + 221*i**3 - 32*i**4 - 440*i**3 + 3*i**2 wrt i.\nAnswer: -768*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(931) + sqrt(931) - sqrt(931)) + 0 + 0)**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 2613*j\/4.\nAnswer: -j*(j - 2613)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-32)*-2)\/1)\/((-4928)\/1792).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1840.88\nAnswer: -5522.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(48)) - (4*sqrt(12)*2 - (sqrt(768) + sqrt(768)*1)**2))*-1.\nAnswer: -3069 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (195\/(-6) - -1)*20\/(-15). Suppose -14*f = -l - 112. Calculate the remainder when 43 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 q when three letters picked without replacement from qrqzzrqgqqzlrlq?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 12, t: 3}. What is prob of sequence ttv?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2793 and -47\/627.\nAnswer: 30723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3267690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 2*o**2 - 2*o**4 + 11*o**2 + (-2 + 0 + 1)*(-o**4 - o**4 + 3*o**4) as y + g*o**2 + i*o**4 + r*o + t*o**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 26*o**2 - 26*o + 46. Let c be f(-27). Suppose c = -2*n + 21. Let s(h) = h - 1. Let x(p) = 4*p - 2. Give n*x(w) - 3*s(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -27. Let g(b) = 10*b - 5*b**2 + 1 + b + b**3 - 2*b**2. What is the remainder when g(6) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -22*y**2 + 6*y + 5. Calculate c(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8689.\nAnswer: 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/5)\/q**(8\/3) assuming q is positive.\nAnswer: q**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 9*d - 15. Let y be o(-5). Let p be (8\/20)\/(2\/y) + 2. Solve -3*u = 3 + p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30072433?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35515*l - 35572*l = -1254 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/84*12\/16?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1 - f - 4 + 5. Let h(z) be the second derivative of -2*z**4\/3 - 2*z. Calculate o(h(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) - (-37 + 103770\/2835)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*v - 2*v - 55, -4*v = 3*d + 97. Let a = v - -40. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 6. Let g(q) = -4*q - 6. Let o(y) = -3*b(y) + 4*g(y). List the prime factors of o(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -630381 and -149729219.\nAnswer: -150359600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5235, -5241, -5247, -5253, -5259?\nAnswer: -5265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 5\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/12 - 2*i**3\/3 + 39*i**2 - 4*i. Let u(b) = -5*b - 8. Give 14*f(l) - 6*u(l).\nAnswer: 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-73)\/((-5256)\/108))\/((-5)\/(385\/(-6)))?\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/1423 (b) 0 (c) -1122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7965676 litres?\nAnswer: 796.5676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13811*d**2 - 6568*d + 240027582 with respect to d.\nAnswer: -27622*d - 6568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173436217 + 294604076. Let j = s - 121167899.0000006. Let n = 40 + j. What is n rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 2*b**3 + 2*b + 3*b**3 + b**3 - 5*b**3 + (-2*b**2 + 2*b - 2*b)*(0*b + b + b) + (b**3 - 5*b**3 - 5*b**2 + 6*b**2)*(-1 - 1 + 19)*(4 - 5 + 5).\nAnswer: -279*b**3 + 68*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 18*a + 50 - 5*a to the form s*a + y and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 2909?\nAnswer: -2909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-65) - 3\/26*-16. Let i be 4\/(-8)*4\/(-6). Which is the nearest to -1? (a) r (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -55*w**2 - 243*w - 15. What is x(-4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 5*t - 4. Let z be c(-4). Solve 0 = -3*n - z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 greater than -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 87 (b) -5 (c) 0.2 (d) 206 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-235)\/60 + -24) - 26?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 6\/(-2) + 0. Let p(o) = -o**3 + 5*o**2 - 3*o + 3. Let g be p(4). Factor 4*k**2 - 6*k**2 - g*k**5 - 2*k**v + 16*k**4 - 3*k**5 - 2*k**3.\nAnswer: -2*k**2*(k - 1)**2*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 18 = 4*v, 0*v + 15 = 3*r + 2*v. Suppose m + u - 14 = 0, -1 + r = m - 5*u. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 3*v - 10. Let b = 5833463\/3855390 + -2\/25035. Let k = 1\/77 - b. What is the third smallest value in k, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1228 - 936 + 383)*(6*y - 2*y + 13*y)*(-y - 3*y + 2*y) to the form l + w*y**2 + z*y and give w.\nAnswer: -22950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*x + 37 = 18 - 90 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*x - p, -5*x + 4*p = -0*p - 85. Let l(n) = -n**2 + 17*n - 13. Calculate the remainder when l(13) is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1632 + -1629. Put n, 4, -3, -43 in decreasing order.\nAnswer: 4, n, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3\/4, 5.\nAnswer: -1\/6, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((26622\/(-119))\/87)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -64, -148, -266, -418, -604?\n\"Answer: -17*r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.056 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/22 - (-8 + 369\/45)*-10?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(1300))**2 + -2)*-3.\nAnswer: -3918 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -q + 0 - 3\/2*q**2 - 1\/2*q**3 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -15.9. Which is smaller: k or 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 16.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*1 + 3.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 - 20*n - 5*n**2 + 2*n + 4*n**2 + 27 = 0. Calculate n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z + 4*u + 8 = -36*z, 13*z + 4*u = -8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5339 - 5309. Let i be 60\/(-9)*(-3)\/2. Calculate the greatest common factor of i and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 61. Calculate n(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*t**3 - 2169*t**2 - 63151.\nAnswer: -72*t**2 - 4338*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + 5*j**2 - 12*j - 1104. Let a(k) = -2*k**3 - 3*k**2 + 7*k + 552. Determine 5*a(y) + 3*w(y).\nAnswer: -y**3 - y - 552","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4*4)\/4)\/(-15 - (-22 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w + 15. Let x(q) = -q + 1. Determine s(p) + 3*x(p).\nAnswer: 5*p + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 9*w**2 - 2*w - 65. What is i(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23191.\nAnswer: 7, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-14))\/(15\/(-105)). Let q = 8 + -3. Suppose y*n + 46 = q*n. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 20. Suppose 0 = 3*g - g + 10. Let p be 1\/(g\/12)*-5. Solve 0 = z*s - t + p, 0 = -4*t + 17 - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 41*c - 83. Let g(d) = 5*d - 10. Let y(n) = -33*g(n) + 4*o(n). Let m(k) = 1. Let f be 4*(-2)\/(-4)*1. Calculate f*m(x) - y(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -46.7?\nAnswer: 9.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 144198, 144197, 144194, 144189, 144182, 144173?\n\"Answer: -m**2 + 2*m + 144197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/2251124?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 3 - -2) + -3. Let v be 3 - ((-54)\/(-21) + h). Which is the nearest to -1\/9? (a) 5 (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - -7 - ((-10 - 4) + 31).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**10)\/(f\/(f**(-3\/7)*f)))**(2\/95)\/((f**(-7)*f*f*f**(-2\/11))\/((f\/(f*f**1*f))\/f)**(14\/9)) assuming f is positive.\nAnswer: f**(7411\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895.756 micrometers to kilometers.\nAnswer: 0.000000895756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g + g - 2*g - 6*g. Suppose 16*c + i + 2 = 11*c, -4*i - 8 = -2*c. Suppose c = -2*v + 7 - 3. Give j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**9\/63 - s**6\/30 - 2*s**5\/15 + s**3\/2 - 18*s**2 + 1. What is the third derivative of a(u) wrt u?\nAnswer: -960*u**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58406451.\nAnswer: 3, 109, 178613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112\/260*5 + (-4)\/26. Suppose 4*l + 33 = -k, -5*l + s - 12 = -5*k. Let h(j) = -j**3 - 7*j**2 + 4. What is h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.246.\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 - 162\/(-12))*(-3)\/(-6). What is the fifth biggest value in -5, 0.3, 3\/2, -12\/11, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 2*m + 4. Let q be o(-3). Let j be 0*-4*(-4)\/q. Solve j = -5*f + 5*x + 10, 2*x + 3*x - 4 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1584565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1489648*l**3 - 3831*l**2 - 495*l.\nAnswer: 8937888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9127 + -88\nAnswer: -9215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 43. Suppose a*h = 2*h + 52. Calculate the greatest common factor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-92)\/5*(-3 + (-32)\/(-4)). Let s = 161 + h. List the prime factors of ((-6)\/(-4))\/(s\/1426).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/4920 and 81\/8?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(54)\/sqrt(2))\/sqrt(9))**2 - sqrt(9)\/(-1*sqrt(3)))*2.\nAnswer: 10*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 8)*(2*s + 0*s + 0*s) - 2*s - 2*s + 3*s to b + m*s and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 66330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d + 5*v - 22, -3*d - 4*v = -26. Let l(q) = 5*q**2 - 2. Let z(m) = -31*m**2 + 13. Let f(n) = d*z(n) + 39*l(n). Let i(u) = -2*u**2. What is f(i(a))?\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**2 + 5*w - 2. What is the units digit of j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -135.5. Let q = k + -47. Let v = 143\/2 - 69. Which is the smallest value? (a) 2 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 1274.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 16 - 22*f**2)*(2*f**2 + 0*f**2 + 4*f**2) as b*f**2 + i*f**4 + d + w*f + o*f**3 and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 4\/9, -21, -0.3, 2\/3, -5 in descending order.\nAnswer: 2\/3, 4\/9, -0.05, -0.3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(189))\/sqrt(3).\nAnswer: -12*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -49, -52, -21, 56, 191?\n\"Answer: 2*i**3 - i**2 - 36*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 112*k**2 - 1572*k + 64. Calculate t(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Suppose 0*a = -4*a - 0*a. Let w(x) be the first derivative of 6 + 19\/2*x**2 + a*x. Calculate w(o(p)).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.789131 * -4.\nAnswer: -3.156524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5103400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 2*z**2 - 3*z - 3. Let w(b) = b + 1. Let u(j) = -2*w(j) + x(j). Let a be u(-3). What is the units digit of 1*16 - (a + 2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = -3*l + 3, -5*l + 25 = 5*z. Suppose -4*f = -0*w - 5*w + 8, -f - 2 = 2*w. Solve w = 5*g - z - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + -5*(4 + sqrt(1300) + 1))**2.\nAnswer: 2900*sqrt(13) + 33345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 12167.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174144845 a multiple of 1046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*t**3 - 6*t**3 + 16*t**3 - 1 - 3*t**3 + 1 + (6*t - 2*t - 3*t)*(-3*t**2 + 2*t**2 - t**2) + 0 + 0 - t**3 as s + r*t + b*t**3 + a*t**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/2*3. Suppose -k*l - 3*l + 25 = 0. Solve z + 4*x = -15, z + l*x = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 2*j**2 - j + 1. Suppose 2*p + 164 = 4*z - 494, 0 = 5*z + 3*p - 828. What is the remainder when 2\/(4\/(-22))*z\/(-55) is divided by f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13627350161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from tllaatlllzllaallall.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*s + 7 = 4, t - 5*s + 16 = 0. Let z be (-1)\/t*(2 - 4). Let q = 2 - 2. Which is the second smallest value? (a) z (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/5350 and -59\/172270.\nAnswer: 861350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1449802 + 2105031. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 532 = 22*i - 788. Suppose -14 = -0*z - z. What is the third derivative of 6*c**5 + 30*c**2 - i*c**2 + z*c**2 wrt c?\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4 = -4*r - 595, 3*r - 2*l + 456 = 0. Let t = 270 + r. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 20 + 56. Suppose -3*w = -23 - 10. Calculate the remainder when u is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 44\/(-7) - (-12)\/42.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(-9)*-3*60\/90.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 - z**2 - 10*z + 2. Let h(q) = -3*q**3 - 3*q**2 - 8*q + 2. Determine 5*h(b) - 4*k(b).\nAnswer: b**3 - 11*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 472970\/79 >= 5988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -5\/3*m**3 + 6*m - 1\/4*m**4 - 2*m**2 - 8. Let k be u(-4). Let i(x) = x + 4. Give i(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2467*z - 2476*z - 52 - z**5 + 4945*z + 104*z**4 - 228 wrt z?\nAnswer: -20*z**3 + 1248*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2541))\/(sqrt(1008) + (2*sqrt(1008) - sqrt(1008) - sqrt(1008)) + sqrt(1008) + sqrt(1008)).\nAnswer: -11*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-14)\/567*-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13794 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18444 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + 16. Let s(u) = -u**2 - 341*u - 2018. Let i be s(-6). Calculate p(i).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5917 + 5921. Let w(j) be the third derivative of 0*j**s + 10*j**2 + 0 + 0*j + 7\/10*j**5 - 9\/2*j**3. What is the first derivative of w(h) wrt h?\nAnswer: 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 10 = -241*u + 246*u, 0 = -2*u - 2*q + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 5) in base 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esshtqt. What is prob of sequence hq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91365337*j**4 + 68733552 wrt j?\nAnswer: 365461348*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*u + 12, -3*g - 44 = 2*g + u. Let v = 14 + g. Solve -5 = -0*k - v*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 5*j**2 - j. Suppose z + 178 = 183. Determine a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8004 and 621.\nAnswer: 72036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:42 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 192461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 194122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, h: 2, d: 7, k: 1, t: 5}. Give prob of picking 1 n and 3 t.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1170240861 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 103, 118?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + 3*r)*(2*r**2 + 3*r - 3*r).\nAnswer: 6*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791.754mm in nanometers?\nAnswer: 2791754000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:34 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 - 9*v + 12. Let u be p(5). Suppose 8*a + u = 11*a. Calculate the greatest common factor of 429 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 2*g + 23 - 2, -3694*k = -3694*k - 3*g - 27 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 2, g: 2}. What is prob of sequence ntg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7407008?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 + -5) - (-11 - -31 - 4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -42545472 to the nearest 100000.\nAnswer: -42500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 51*s**2 + 8518*s + 6040691. Let o(d) = -141*d**2 - 25553*d - 18122071. Let w(a) = -11*g(a) - 4*o(a). Factor w(j).\nAnswer: 3*(j + 1419)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 112860.\nAnswer: 112860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 6. Let k be g(4). Let s be -2 - 3\/(k + -1). Let x = s - -3. Calculate the lowest common multiple of x and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-557 + 555)*(2\/5)\/(4\/5). Which is bigger: -6\/1783 or n?\nAnswer: -6\/1783","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40929 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v = 0. Suppose j + 1090 + 2610 = v. What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1398 + -18159\/13. Let r = q - -29\/65. Factor 2\/5*j**4 + r*j**3 + 0 + 2*j**2 + 4\/5*j.\nAnswer: 2*j*(j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 + -6b44?\nAnswer: -6b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 26, -14.01?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(1\/10))**(1\/2))**40)**(31\/3))**(-25) assuming w is positive.\nAnswer: w**(-4650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (422 + 42*b**2 - 422)*(3*b + 2*b - 3*b)*(b**2 + 2*b**2 - 4*b**2) + 4*b**5 + 3*b**5 - 6*b**5.\nAnswer: -83*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.81 (c) 1 (d) -14\/15 (e) -1.9 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdnnd. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 - 1. Suppose 0 = 5*b + 15 + 30. Let t = 7 + b. What is i(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69751, 69730, 69707, 69682?\nAnswer: 69655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l**2 - 402274*l + 402274*l.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0405 - -4.58103\nAnswer: 4.54053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190 + 197. Suppose -l*i = -23*i + 832. Let h be -3*((-64)\/6 - -2). What is the greatest common factor of h and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238596, 238593, 238600, 238623, 238668?\nAnswer: 238741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:04 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4816.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 4. Let l be v(-2). Let r = -9 - l. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123.117 + 0.117. Let r = -123.14810992926 - -0.14810894926. Let c = r - f. Round c to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 2.19. Let b = 4.9 - 4.51. Let g = i + b. Put -3, g, 0.1 in decreasing order.\nAnswer: g, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -4268?\nAnswer: 8536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*a - 1502 = 15*a - 45 + 4889 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 - 64. Let i(g) = -g + k - 52. Let q be 12\/(-2) + (3 - 2). Give i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 92*k - 7. Let l(y) = 18 - 8 - 1 - 62*y - 29*y. Let f(n) = 2*l(n) + 3*t(n). Let v(j) = -j**2. Give f(v(q)).\nAnswer: -94*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246617?\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t + 87*t - 195*t - 153*t - 235*t.\nAnswer: -473*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 1683b?\nAnswer: 16842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.515 - 0.6565. Let s = w + 0.1414119. Round s to six dps.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3069379 is divided by 79.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u + u - 12*u + 2*u to i + d*u and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5576631, -11153254, -16729875, -22306494, -27883111?\n\"Answer: c**2 - 5576626*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 80*x - 1032. What is y(13)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p - 21. Let c be (12\/(-10))\/((-14)\/35). Let h(a) = -3712 + 3714 - 4*a + c*a. Calculate 42*h(w) + 4*t(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**2 + 4*r - 3. Suppose 33*d - 7 = -106. Let z(i) = -13*i**2 + 9*i - 7. Give d*z(k) + 7*n(k).\nAnswer: -10*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 17*i + 3. Sort 4, 1, i, -2.\nAnswer: -2, 1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(176) - sqrt(176) - sqrt(176))*6 - ((sqrt(176) - (1*-1*sqrt(176) - sqrt(176))) + (sqrt(176) - (6*(sqrt(176) + 1) - sqrt(176)))))**2.\nAnswer: 10800*sqrt(11) + 112916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-18285079.\nAnswer: 36570158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 + 3. Let a = -0.206 + v. What is a rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 92043936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**3 - 2*t**2 - 5*t + 18. Let n(p) = p**3 - 2*p**2 - p + 3. What is 6*n(j) - u(j)?\nAnswer: j**3 - 10*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/50359056 and 81\/2.\nAnswer: 50359056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + o = 48, 9*k - 12*k + 3*o = 54. Which is smaller: 14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose 3*n + 200 = -2*z + 7*z, w*n = -10. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - k)*(6*k + 23*k + 13*k)*(k**2 + 4*k**2 + 2*k**2) + 0*k**4 + 0*k**4 - 2*k**4.\nAnswer: 292*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 x when four letters picked without replacement from {o: 1, q: 1, d: 1, l: 2, s: 2, x: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-11)\/r*r))\/r**(18\/13))**(-8) assuming r is positive.\nAnswer: r**(-1104\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - 6*l - 9*l**2 + 6 + 15*l**2 to the form u*l**2 + k*l + a and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10 and ((-458)\/232 + 2)*-34.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/90 and -73\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11002 + 11005. Suppose b - 5\/2*b**2 + 0 + 2*b**a - 1\/2*b**4 = 0. Calculate b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = -2*s + 1139. Sort -1, s, -2, 154, 4.\nAnswer: -2, -1, s, 4, 154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11 - 1 = 0. Let q be ((-2)\/l)\/((-2)\/(-30)). Suppose -2*j = -q*h, -5*j = -2*h + h. Solve h*v = -v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 7. Let y(j) = 2*j + 14. Let s(h) = -11*k(h) - 6*y(h). Let p = -7 + -1. What is the remainder when 3 is divided by s(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 2*v**3 - 16815*v**4 - 16819*v**4 + 33695*v**4 + v**2 to x*v**4 + h*v + c*v**3 + b + z*v**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 9*w**2 + 7*w - 7. Let u be x(-8). Solve -11 - u = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + -111?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14222172 + -24360973. Let h = m + 10138785.0000025. Let a = h - -16. Round a to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 41\/4, -14\/97?\nAnswer: -14\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = 4*h. Let k be 2 - 0\/h - 1. Suppose -k - 1 = -2*m. Solve -m = 2*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/43731 and 55\/38872?\nAnswer: 349848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 3. Let l(d) = d**2 + 1. Let v(r) = -2*r**2 - 225*r - 3703. Let q be v(-20). Determine q*l(i) + g(i).\nAnswer: -3*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 - 2*a**2 + 4*a - 2. Let m be q(1). Solve 0 = -3*s, -n = -m*n + 3*s - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-36 - 5) - 20) + (-2 - 0 - -13).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2. Let f(u) = 10*u**2. Give -2*f(j) + 2*z(j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millisecond in microseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*2*-3)**2 + (((sqrt(1539) - (-1 + sqrt(1539))) + sqrt(1539))*-4)**2 - (1 + (-1*sqrt(1539))**2 + 3).\nAnswer: 288*sqrt(19) + 78501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 2*l)*((-3*l**2 + l**2 + 4*l**2)*(0*l**2 + 5*l**2 + 2*l**2) + (2*l**3 - 4*l + 4*l)*(-2*l - 3 + 3) - 3*l**4 - l**4 + 2*l**4).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 855 and 19?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -212. Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/7 - 3414*y**3\/7 + 20418*y**2\/7 - 10186*y\/7 - 4860 = 0. Calculate y.\nAnswer: -1, 2, 5, 1701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let y(f) = 0*f + 0*f - n*f + f. Let b(r) = -3*r - 3. Let p(a) = -3*a - 2. Let s(z) = -2*b(z) + 3*p(z). Determine y(s(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.418 >= 2.134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147a + 3b?\nAnswer: -143c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -537119, 35\/6 in decreasing order.\nAnswer: 35\/6, -1\/2, -537119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**2 + 0*j**3 + 0 - 1\/12*j**4 + 0*j. Determine m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 156750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 53147354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 5. Let g be p(4). Suppose -8*u - 803 = 397. Let z be (-104)\/(-570) - 5*(-6)\/u. Which is greater: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7985, 7988, 7989, 7988, 7985, 7980?\n\"Answer: -f**2 + 6*f + 7980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((9\/(-30))\/1)\/((-18)\/165)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 14 - 64. Let f = -299 - a. Which is smaller: f or -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.072 + -0.072. Let g = k - 0.6. What is the second biggest value in g, 5, -5, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2756, -5304, -7626, -9722?\n\"Answer: 113*v**2 - 2887*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -14*h**2. Let r(t) be the second derivative of t**5\/40 - 10*t**3 - t - 7. Let d(c) be the second derivative of r(c). What is y(d(v))?\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2 - 11*q - 26. Determine d(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 - 99\/(-36). Suppose x*b = -k + 2*k - 7, 3*k - b = 13. Suppose -k*n + 4*v = 2*v - 374, -379 = -4*n - 3*v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411667469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, 743, 3920, 10073, 20186, 35243?\nAnswer: 56228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, g: 1, u: 11}. Give prob of sequence guw.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 777760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -903362511, -903362510, -903362509, -903362508, -903362507?\n\"Answer: z - 903362512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*((-1 - 3 + 5)*(-o - 1 + 1) - 2*o - 2*o + 3*o - 50*o + 36*o + 11 + 35*o) in the form d*o + h and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o = -54*o + 4*d - 12298, -o + 12250 = -4*d. What are the prime factors of o?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5782711824.\nAnswer: 2, 3, 29, 51287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79\/2 - -41. Let y(n) = -26*n**2 - 124*n + 31. Let h be y(-5). Which is the nearest to h? (a) p (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, n: 1, l: 2, w: 4, z: 1, s: 1}. What is prob of sequence szn?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1994.86062 + 0.06062. Round f to the nearest 10.\nAnswer: -1990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 73.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -0.4 (c) 152 (d) 4 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -1\/6*x**4 + 1\/3*x**2 + 2*x**5 + 4\/3*x + 1 - 34\/9*x**3. Solve m(c) = 0.\nAnswer: -1, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -11. What is the smallest common multiple of b and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 8:23 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 3, x: 5, k: 4}. Give prob of sequence uxyk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*-11\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -308*w**2 + 152*w**2 + 154*w**2 - 47 as v + a*w + o*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -1, 82, -4 in descending order.\nAnswer: 82, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*b - 85, 0*b = 19*a - 3*b + 8 - 81 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(4)*4 - (-2 + sqrt(18)\/sqrt(6) + sqrt(3)))*1)**2 - (5 + (2 + sqrt(300) - sqrt(300)) + 5)**2.\nAnswer: -128 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*o + 77 - 200 = 0, -z + o + 29 = 0. Let n be 1100\/15*18\/4. What is the highest common divisor of n and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520.8088146432 - -0.2.\nAnswer: -520.6088146432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 1975 = -5*z + 2078, 102*j - z + 123 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*s, s = 5*v + 49 - 69. Suppose -4*d + 154 + 530 = 0. Calculate the highest common factor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 4*l + 5. Let g be b(4). Sort 2, -2, g in descending order.\nAnswer: g, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -637294 divided by 637294?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 968, 1066, 1168, 1274, 1384, 1498, 1616?\n\"Answer: 2*s**2 + 92*s + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (1 + (-15 - -1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - 0.93. Let o = -0.06 - -0.06. Let u = -3 - -2.5. Which is the closest to z? (a) -0.4 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = -4*c - 13*p + 46, 5*c - 47 = p for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2290 + -2289.696. Which is the smallest value? (a) 5\/4 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 0.1, -24.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*c + 2*u - 0, 0 = -5*c - 3*u - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*t + 810 = -0*t + 1052, -11*n = 5*t + 218 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 24 = -10*q. Suppose -11*j - 28 = -13*j. Solve -q*c + j = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o - 4*a, 2*a - 20 = 2*o. Put 0, o, 5 in decreasing order.\nAnswer: 5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0 - 15. Suppose -c = -j*v + 49, -3*v + 2*c = -0*c - 28. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3630 and 43\/30.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -18. Suppose -4*n - 6 = -x, -v*n - 8 = -3*x - 5*n. Solve -r - r = -2*g, -8 = x*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*y - 5 + 6 - 1 to n*y + w and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -58*g - 373. Is 11 a factor of l(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 32*q + 12053 = 0. List the prime factors of q.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 5*v**2 - v - 4. Determine i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**3 - 4 - 5*n + 4*n**3 + 4*n**3 - 4*n**2. Let q(z) = z**2 - 3. Let a(v) = -v + 7. Let h be a(7). Let i be q(h). Determine y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -140, 2, 1, -3, 4, -1 in increasing order.\nAnswer: -140, -7, -3, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95 or 15099?\nAnswer: 15099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3159\/11, 1\/1322, 2 in increasing order.\nAnswer: -3, 1\/1322, 2, 4, 3159\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3 = -59*a + 53*a, -2*a = l + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from ggv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.6 + -0.6. Let c = g + -19.18. Let b = c - -0.173. Round b to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/(6*(sqrt(2) - (sqrt(2) + sqrt(18)))))\/(sqrt(200) + -3*(sqrt(200) + (sqrt(200)*-2 - sqrt(200)))))**2 + 3.\nAnswer: 4762817\/1587600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 22456?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(3 - 14\/4). Let w = -6 + 6.1. What is the second biggest value in -2\/15, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54764, -54381, -53946, -53459, -52920, -52329?\nAnswer: -51686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*r - 20487 = 195 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 288883187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, f: 3, x: 3, s: 1, u: 5}. What is prob of picking 1 f, 1 s, 1 x, and 1 v?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0584 - 27.9016. Let d = n + 29. What is d rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 199 = -2*w + q, -5*w + 2*q - 198 = 0. Let z = w - -40. Suppose o - 2 = 4*u, u = 2*o - 2 + 5. Put o, 2, z in increasing order.\nAnswer: o, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 m when four letters picked without replacement from {f: 2, r: 1, m: 3, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22345686579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/18)*q*(q\/(q*q*q**(-2\/3))*q)\/q)\/(q*(q*q**(-1\/2)*q)\/q)**8 assuming q is positive.\nAnswer: q**(-205\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**3\/3 + 2*q**2 + 2*q. Let o be c(3). Let d be -2*(-6 + (o - -2)). What is the highest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h + 108. Let j be b(18). Suppose 7*c + 0 - 21 = j. Sort c, 1, -3, 0 in decreasing order.\nAnswer: c, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1505 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2 + 59*g + 2652. Let v(y) = 4*y**2 - 42*y - 1767. Calculate -5*l(f) - 7*v(f).\nAnswer: 2*f**2 - f - 891","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(0 - 2\/4). Let n = 12.687 + 0.113. Let b = n - 12.3. What is the closest to -2 in t, 4, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 86 = 67 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 489 and 33.\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 4*q - 16, -t - 4*q = -12*q + 4*q - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -29, 3\/5, 2961?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 plus 3.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.387623808 plus -11?\nAnswer: -189.387623808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -48*w + 338. Calculate f(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65852 - 73812 = -199*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 126, 512, 1146, 2022, 3134?\n\"Answer: -u**3 + 130*u**2 + 3*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 5*j + (3 - 2 - 3)*(0 + 0 + 2*j))*(-11 + 11 + 7*j).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 124\/20*(-5)\/(-2). Let l = 70413 - 70414. Sort a, 2, l, -1\/6.\nAnswer: l, -1\/6, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - 2. Let v(k) = k**2 + 15*k - 13. Let w be v(x). Solve 0 = 5*f - 10, f = -5*c + 5*f - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-93))\/(11478\/296515)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131781 - 52133.\nAnswer: 79648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 61. Suppose 0 = -2*d + 2*w + 56, 4*d - 2*w = -l*w + 98. What is the remainder when 127 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -66. What is the highest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, -2, 6974?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -4*u + 2*d, 0*u = -3*u - 505*d + 521*d - 119 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b9a (base 14) to base 12.\nAnswer: -31a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14 - (-418)\/(-1197))\/((-229)\/(-687))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 426*n - 5 - 2*n**2 + 292*n - 954*n to the form t*n**2 + a*n + p and give a.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 35 = -3*g - 2*w, -5*w = -2*g - 12*w + 2*w - 2 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15480700 to the nearest one hundred thousand.\nAnswer: -15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-7))\/4)\/(9\/(-24))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39823.5 times -70?\nAnswer: -2787645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.126? (a) -3\/5 (b) -2\/13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*i**3 - 395*i - 304*i - i**4 + 1140*i**3 + 11*i**3 wrt i?\nAnswer: -12*i**2 + 6540*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:45 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)\/u)\/(u**(-7)*u)*u*u*u*(u\/((u**(-3\/5)*u)\/u*u))\/u*(u*(u*u**0*u)\/u)\/u assuming u is positive.\nAnswer: u**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*u**2 - 41 + 84 - 43.\nAnswer: 363*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/60 + b**4\/2 - 2*b**3 + b**2. What is the remainder when l(8) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 - 13*t + 12. Let k(f) = -f**2 + f - 1. Let g(z) = -c(z) - 4*k(z). Let m be g(8). Is m bigger than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 45 (c) -0.04 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12648844 + 12648843.89499898. Let u = -4.795 - -4.9. Let i = u + o. Round i to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 39*w - 6 + 5.\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.402 - -4.382. Let g = p + 0.02. Suppose 127 - 1767 = 328*t. What is the nearest to -20 in t, 0.4, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188165.\nAnswer: 5, 61, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**18*f**(-12\/11)*f assuming f is positive.\nAnswer: f**(197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 18.15. Sort -3, c, 4 in descending order.\nAnswer: 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -28. Suppose 3 + c = -2*b. Is 6 a factor of b\/10 - 31\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4310530 + -3?\nAnswer: -4310533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 268. Let f = 59 + g. Solve 0*y - y + 2*z = 6, f*z = -y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 68031, -3\/22?\nAnswer: 68031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2240*w + 20109. Calculate r(-9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 8 - 2)*(-4 + 4 - 3*i)*(11*i + 1 + 8*i - 10*i) in the form m + y*i + c*i**2 and give c.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*u - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.4926ng in milligrams?\nAnswer: 0.0002854926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21581701 divided by 5.\nAnswer: -21581701\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 3)*(38*l + 111*l - 84*l + 3 + (0*l + 2*l - 5*l)*(4 - 6 + 3)).\nAnswer: -248*l - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4530 + -2363. Does 71 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204075 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101349374 divided by 29?\nAnswer: 3494806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/60 - 11*j**4\/24 - 17*j**3\/6 + 10*j**2. Let g be h(-8). Solve 0 = -5*l + 3*b - 3, -2*b + 7 = -g*l + 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-5)\/60).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 29 (b) 730 (c) 5\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 + 4*q + 32. Give z(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9662 - -6803. List the prime factors of c.\nAnswer: 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j + 4*h - 546, 0 = 5*j + 2*h - 548. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 510*a - 505*a + 5*u - 32*u, u = 4*a - 4*u - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:50 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177470538 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 - -110. Solve 5*h + 1 = -d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80428436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 229*m**3 + 10*m + 2*m.\nAnswer: 229*m**3 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-7)\/42*(1\/(-2))\/((-70)\/420).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461099 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12470168\/213 - -58545. Let o = 4\/71 + i. Let z(j) = -j**3 + 7*j**2 - 7*j + 5. Let q be z(6). What is the second biggest value in q, -2, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4986.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 2*n**4 + 3*n**4 + (-3*n**3 + 0*n**2 + 0*n**2)*(n - 5*n + 2*n) + n**4 + 253*n - 103*n - 151*n - 640.\nAnswer: 9*n**4 - n - 640","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u + 5. Let p be v(8). Let h = 39 + -22. Let d = h - -3. Solve p*o + d = x, -5*x + 0*x + o - 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b + 49. Let k be f(4). Differentiate -7*x**2 + 17*x - k*x**2 - 14*x**2 + 30*x**2 - 76 wrt x.\nAnswer: -8*x + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m**2 + 33*m - 13. Let w be b(5). Solve 5*k - w*n - 24 = -6*n, 0 = -3*k - 4*n + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -61*h - 98. Let m be l(-8). Suppose 4*p = p - u + m, -p + 130 = 3*u. What is the highest common factor of p and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -578 - -1973. Let s = c - 960. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6827 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 6008027.\nAnswer: 6008027.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 925 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 7*b - 49 + 2*b)*(0*b**3 + 0*b**3 + 5*b**3).\nAnswer: -5*b**4 - 245*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 - -6 - 4) - (-152 - -131)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**2 - 2*b**2)*(-4 + 7 - 2) + (-2 + 1 + 3)*(-b**3 - b**3 - 8*b**3) + b**2 - 2*b**3 - b**2 + (3*b**3 + 0*b + 0*b)*(-2 + 0 + 3).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019 plus 8753?\nAnswer: 7734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 3 - 4\/(-3). Let m = 2\/3 - f. Let d be (6\/(-4) + 2)\/(-2). Which is the nearest to 2\/7? (a) d (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o = -28*o + 1756. Let q = o + 475. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -3*t**2\/2 - 8*t. Let r(b) = b + 4. Calculate 4*d(z) + 3*r(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -77.6. Let u = -150 + 155. What is the third smallest value in g, u, -4\/9, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14882.00006888 - 14882. Round j to 6 decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:38 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 12 + -15 + 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(10) + 5 - ((sqrt(88) - 2*sqrt(88))\/sqrt(8))**2.\nAnswer: -6 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14371 is divided by 1384?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*g + 2*m, -g - 34 = -0*g + 3*m. Let u be g\/143 + (-10402)\/(-13). Round u to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 1) - (1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.87 + 2.87. Let j = -1 + 2. Which is the closest to -3? (a) j (b) z (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -49.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1084*j - 1045*j - 27693 - 54764 = 4832 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 457, 434, 369, 244, 41, -258, -671?\n\"Answer: -3*c**3 - 3*c**2 + 7*c + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awmyopwa. What is prob of picking 1 m and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2032027?\nAnswer: 17, 23, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*y**3 + 145*y**2 - 275*y - 10.\nAnswer: 5*(y - 1)*(y + 2)*(28*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -3 (c) 18\/41 (d) 1\/2 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpvv when four letters picked without replacement from {j: 3, v: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l - 6. Let x(b) = -b**2 - 2*b**2 + l*b**2 + 2*b**2. Let k(m) = -m. Determine k(x(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6747470 and 1190730.\nAnswer: 20242410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m**3 + 10*m + 4*m**2 + 16 + 4*m**2 - m**2. Is 2 a factor of l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 - i**4)*(13 + 10 - 8).\nAnswer: -15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 10, -5 in decreasing order.\nAnswer: 10, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*g, 0*g = 5*y + 3*g. Let u be (2\/(-10))\/(2 + (-30)\/25). Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -43. What is the closest to 4\/9 in -1, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -128, -661, -1566, -2855, -4540, -6633, -9146?\n\"Answer: -2*r**3 - 174*r**2 + 3*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.1. Let d = 2699 + -13402\/5. Let h = d - 19. What is the closest to h in 0.5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 28. Solve 4 = 2*s - l*s + 3*t, 0 = -s - t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1. Let p(s) = s - 16. Suppose 0 + 10 = 5*l. Let o(k) = l*b(k) - p(k). Calculate the smallest common multiple of o(6) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:36 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -42*q**2 - 16*q - 22. Let o(t) = 10*t. What is o(f(r))?\nAnswer: -420*r**2 - 160*r - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3356 - 6526 = 31*l - 3542 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -0.1, 21, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3198497?\nAnswer: 29, 53, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/42)\/(((-13)\/(-1326))\/((-5)\/10))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 - 267.98. Let y = -2.05 + 2. Let d = m + y. What is the second smallest value in d, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -3 - (-2 - (-20)\/5). Let a(p) = p**2 - p - 2. Let d be a(u). Solve d = -0*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/464 and -25\/899?\nAnswer: 14384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 149 - 242 = -138 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283877.4l in millilitres?\nAnswer: 283877400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -419.05641714 + 374.0564152. Let g = 45 + s. What is g rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 35*b**3 - 55*b**2 - 15*b + 15. Let r(p) = 5*p**3 + 8*p**3 + 4*p + 21*p**2 - 7*p**2 - 22*p**3 - 4. Let l(i) = 4*h(i) + 15*r(i). Factor l(y).\nAnswer: 5*y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (682*a**2 + 342*a**2 + 70*a**2)*(-3*a + 2*a + 2*a) + (2*a**3 - a**3 + 0*a**3)*(2 - 4 + 4) + a**3 + 3*a**3 - a**3.\nAnswer: 1099*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 16*b**2 + 77*b - 437. Give p(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182447702 to the power of 1\/3, to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-6))*h)\/h**(-6\/7)*(h**(-1\/2)\/h*h*h)\/h**(1\/12)*(h**(-2)*h)**(10\/7)*((h*h*h**(3\/11))\/h*h)\/(h\/h**(-3\/8)) assuming h is positive.\nAnswer: h**(14309\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k + 3*i - 11, -5*i + 25 = 4*k. Solve 2 = -4*h - k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 4, n: 2, t: 5}. What is prob of picking 2 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27))\/((-10)\/60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -1, -7.489 in increasing order.\nAnswer: -7.489, -1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.13 (b) -5 (c) -4 (d) -2031\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.22, -1, -5 in increasing order.\nAnswer: -5, -4, -1, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 8*k**2 + 8*k - 5. Let c be h(-9). Suppose -c*f = -3*f. Suppose 6*w - 2*w - 353 = -3*b, 3*b - w - 358 = f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/720 - j**5\/360 - j**4\/72 - 5*j**2 - 4*j. Let p(q) = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-2 - 6 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98\/5 - 716\/35. Put n, 0.04, -3\/5, -0.5 in descending order.\nAnswer: 0.04, -0.5, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*10570.12\nAnswer: -317.1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/(-16) - 9\/(-72). What is the nearest to -2\/3 in 0.4, 2, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/5)\/((-3)\/771). Suppose -3*g + k = 198. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 658387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-5 + -2 + -1). Let f = k + -8. Solve 2*i + f + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/6, 5\/9, 3\/4.\nAnswer: 1\/6, 5\/9, 3\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 + 7*k + 10. Give f(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252721415 and 3035.\nAnswer: 3035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(3520))\/((sqrt(11) - sqrt(704)\/sqrt(4))*-2) + -2)**2.\nAnswer: -32*sqrt(5)\/3 + 356\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 3*a + 5. Let k(y) = 4*y**2 - 3*y + 6. Let m(p) = 3*h(p) - 2*k(p). Let f(s) = -s**2 - 9*s - 6. Let u be f(-8). Calculate m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.04. Let k = h - 3. Let b(g) = g**3 - 29*g**2 - 64*g + 62. Let x be b(31). What is the smallest value in 2\/5, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 14*k = -9. Suppose -5 + 13 = b. Let g = b + k. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 47\/420*a**5 + 23\/280*a**6 - 56*a**2 + 0*a**3 + 1\/588*a**8 + 16\/735*a**7 + 5\/84*a**4 + 0 + 0*a. Let m(n) = 0. Calculate n.\nAnswer: -5, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 4\/(12\/(-13)))*123. Suppose p*s - 37*s = 56. What is the least common multiple of 15 and s?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51192 and 23068.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100 (base 2) to base 3.\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 40.3, 4\/3 in decreasing order.\nAnswer: 40.3, 4\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 55\/35 + 4\/(-7). Let v be 3\/k - 6\/2. Solve 2*z + v*z = 2*n + 8, -16 = -4*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 30 = -9*a. Let j be 44\/a - 6\/15. Solve -3*n + j = -7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (278 - 14)\/22*-3*(-7)\/18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w**2 - w)*(4*w - 5*w + 3*w) - 3196 + 3196 + 31*w**3 + 27*w**3 + 195 - 195 + 0*w**3 + 0*w**3 + w**3.\nAnswer: 61*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y**3 - 3*y)*(-3 + 3 - 3*y) - 802*y**2 + 709*y**2 - 10*y**4 + 11*y**4 - 3.\nAnswer: -2*y**4 - 93*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -429.3866471 to the nearest integer.\nAnswer: -429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/25))\/(n\/((n*n*n**(-1\/36)*n)\/n)) assuming n is positive.\nAnswer: n**(1703\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**5 - 4916*v**4 - 169113*v**2 wrt v?\nAnswer: 420*v**2 - 117984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78560\/144 - (-8)\/18?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77, 74, 79, 98, 137, 202, 299?\n\"Answer: o**3 - 2*o**2 - 4*o + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -30947, 2\/5, 1, 1\/4, 2, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 5*g - 4*g - 3*g.\nAnswer: -2*g + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5.8. Let v = 5.6 + -0.6. Let y = -1 - -2. What is the second smallest value in w, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + 1007. Suppose -2*j = -337 + m. What is j rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283150322 to the power of 1\/4, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-30)\/(-4) - (-60)\/(-40)) + 46 and 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11 = -4*y, -98*x = 2*y - 96*x + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2 - 2 + 4 + 5*h**2. Let c(n) = 99*n**2 - 40*n - 160. Let z(b) = 33*b**2 - 15*b - 60. Let f(j) = -3*c(j) + 8*z(j). Give m(f(w)).\nAnswer: 5445*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-1 - 5 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19799211?\nAnswer: 3, 523, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409498?\nAnswer: 2, 204749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(762 - 360 - 374)*(2*a + 3 - 3)*(3 + 1 - 2).\nAnswer: -224*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -3\/2 (b) 1.8 (c) 21 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -f - 12, 4*f + 8 - 25 = -5*s. What is the nearest to -6 in f, 2, 0.07, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpnncnnpcccc. Give prob of picking 1 n and 1 c.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n - 36 - 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v - 4*o + 670, -4*v = o - 902. Let m = v + -219. Solve 2 = 3*j - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -267 - -272. Let r be (9\/6 - 4)*(-4)\/o. Solve 0 = -4*z - 5*p + 26 - 5, 12 = -2*z + r*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14394 + 6252. List the prime factors of s.\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 42*b**2 - 27*b - 9. Let m be k(-9). Suppose 11*f + f - m = 0. List the prime factors of f.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -520*i**2*v**3 - 8*i*v**2*x + 47*v**3*x + 16*v*x wrt i.\nAnswer: -1040*i*v**3 - 8*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 121086410.5 to the nearest ten thousand.\nAnswer: 121090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 9, 0.1 in increasing order.\nAnswer: 0.05, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4 - 3\/3. Which is the closest to y? (a) 4 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -761, -0.4, 0.4, 6?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-1)*7*2016\/2120. Let j(d) = 2*d**3 - 6*d**2 + 3*d - 1. Let m be j(6). Let b = f + m. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500\/(-4950) + (-2)\/66.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 38*k - 3. Let r be x(38). Let g be -7 + (-153)\/(-24) + r\/8. Sort -4, g, -320 in ascending order.\nAnswer: -320, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61019)\/(-28804) - (-60)\/95.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**7\/168 - 7*a**6\/120 - 17*a**5\/80 - 3*a**4\/16 - 550*a. Suppose c(s) = 0. What is s?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 13*g**2 - 14*g + 12. Determine p(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + d + 4 + 1, -d - 5 = 0. Suppose 14 = -4*v - 0*y + y, 5*v - 5*y + 25 = h. Calculate the common denominator of v and (15\/(-4) + -2)*3\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**2 + 6*t + 4*t**3 - 2*t**3 - t**4 + 8*t**2 to the form q*t**4 + p*t**2 + x*t**3 + o + h*t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710108?\nAnswer: 2, 7, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let o(h) be the first derivative of -5*h**2\/2 + h + 3. Let g be o(r). Sort -3, g, 3 in decreasing order.\nAnswer: 3, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*l + 370*l + 3 + 2.\nAnswer: 7*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/3051 - -6091\/33561. Which is the third biggest value? (a) 0.03 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -262*t**3 - t**2 + 2*t + 3. Calculate the remainder when u(-1) is divided by 87.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3567*o + 3041*o = 21040 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(18) + (-1*sqrt(162))\/sqrt(9))\/(-3*sqrt(81)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 - 8*m - 2. Let g(t) = -4*t**2 - 5*t**2 + 8*t**2 - t + 2*t. Calculate -6*g(u) - y(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojzkuuo. Give prob of picking 1 k and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/31934 and -37\/358117.\nAnswer: 5013638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 24. What is r(-8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -33) + 279 + -294 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10)*-5)\/(7690\/24608)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*((-105)\/(-20) + (-3)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 q when three letters picked without replacement from jjjjjjjqjjqjjqqjjjqj.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/3 + 56406486*p + 2386268747151147 = 0. Calculate p.\nAnswer: -84609729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 233 = 5*w, -574 = 2*w - b - 532 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 113510 + 21a?\nAnswer: 11372a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*w + 10, 2*l - 13 + 5 = -4*w. Suppose 0 = -w*j - 2*f + 44, -6 = -2*f - 0. Factor j*n + 11*n + 8*n - 100 + 22*n - 9*n**2.\nAnswer: -(3*n - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566255.\nAnswer: 5, 109, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/4 + -2 + 3. Let j = 1 - 4. Let g be j*(-6)\/(-9) - 2. Put -1, i, g in descending order.\nAnswer: -1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 - 138. Suppose d*q = -5*q + 650. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*h - 0*h. Let o = h + -13. Let n be (-4 + -1)*(-2)\/5. Solve -n*m = -3 - o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -1\/11 (c) 5\/9 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - 25 = 0. Let p = 11 - u. Suppose 5 = h - p. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-15)*3*(-7 + 4). Does 2 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2427*m - 7358*m + 2324*m + 2250*m.\nAnswer: -357*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f + 5*f**2 + 2*f**2 - 6 - 2*f**2 + 25. What is the tens digit of i(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -5, 0 in increasing order.\nAnswer: -5, 0, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.26 and 7049.3?\nAnswer: -121670.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.18 and -136.\nAnswer: 160.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/120 + 7*s**5\/30 - 19*s**4\/24 + 17*s**3\/6 - 2*s**2. Is g(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80846082?\nAnswer: 2, 3, 359, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*b + 16*b**2 + 8*b**2 + b**2 - 297*b.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-528)\/3960)\/(33\/((-5049)\/(-34)))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 461*h - 462.\nAnswer: (h - 462)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 9*a - 2*a + (2 - 2 - 2)*(1 - a - 1) + 2*a - a - 2*a + (-1 + 4 - 1)*(-1 + 2*a + 1) - 2*a + 4*a + 4 - 3.\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3, 7*g + 7 = 3*g - 5*v. Suppose 0*b + b + 5*p = -19, g*b + 14 = 2*p. Let l = 11 - b. What is the remainder when 99 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -21*v + 2. Let s(m) = 3*m - 2. Let q be s(5). Let u(x) = -10*x + 1. Determine q*u(o) - 6*b(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y = 10*y - 96 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 28. Let i = 52 - k. Let f = 19 + -5. Calculate the greatest common factor of f and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0033900019 and -0.56.\nAnswer: -0.5566099981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -402 + 406. Solve -2*h + 6 = w*s + 14, -2 = s - 2*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2\/3 + 172*n\/3 - 496 = 0 for n.\nAnswer: 12, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let w(p) = -1779814*p**2. Calculate v(w(g)).\nAnswer: 3559628*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*w + 5*g, 4*g + 30 = -5*w + 88. Let v = 9 - 5. Calculate the least common multiple of w and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*l - 4*l + 15*l)*(3*l**3 + 2*l**3 - 4*l**3) - 7*l**4 - 11*l**4 - l**4 in the form s*l + a*l**3 + i + g*l**2 + h*l**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (-43 - 1 - -47 - 54).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12519885 divided by -5.\nAnswer: 2503977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8385860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-372*g**2 - 635*g**2 - 21*g**2)*(-6 + 3 - 4)*(-g**2 - g + 2*g - 2*g) + 2*g**2 + 4*g**4 - 2*g**2 to b*g**4 + z*g + a + f*g**2 + p*g**3 and give p.\nAnswer: -7196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 7*q**2 - 2*q - 2. Let d = 16006 + -16013. Calculate o(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/40 + 2\/19 + (-10230)\/(-5700)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258112486 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 + -15. Suppose 4*i - w + 21 = -a, -515 = -5*a - 5*i. What is the least common multiple of 4 and a?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 9. Let u be g(5). Let n be ((-6)\/(-27))\/(8\/6). Let x = 47823 - 47825. What is the biggest value in u, x, 2\/3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -21, -38, -71, -126, -209, -326?\n\"Answer: -g**3 + g**2 - 3*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7599428 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Suppose 5*p - y = 4*p. Suppose -p*f + 618 = -12. Calculate the greatest common factor of 84 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4598*a + 9186*a = 6*s + 4592*a + 14, -s = -3*a - 38 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3367763, 0.\nAnswer: 0, 5, 3367763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 184563223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -2\/9 (c) 4 (d) -89853\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:16 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, g: 4, k: 8, x: 4}. Give prob of picking 1 o, 1 g, and 1 k.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -36*w + 173. Is w <= 68\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 56*u**2 - 1345*u + 953. What is a(74)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 534*b**2 + 16*b + 57. Is n(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(0 + -3 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from qakqmqavpqaqkamqvqq.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -12643.4 to the nearest 100.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10125 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3083141.68 to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 3\/(6\/5 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = 53*h - 417123. Let s = h + -5494. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 5*h + 4*h + (4 + 0 - 2)*(0 + 0 - 2*h) + 47*h - 14*h + 115*h + (-1 + 1 - 2*h)*(-3 - 1 - 7).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 6*t**2 + 6*t + 5. Let q be (4\/6)\/((-10)\/(-120)). Let o = 3 - q. Let g be w(o). Solve 0 = -f - 3*f - 4*l + 16, g = 2*l - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24.61783 centuries?\nAnswer: 246.1783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225a72 (base 16) to base 2.\nAnswer: 1000100101101001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*b - 188, -138 = -3*b - 5*o - 20. Calculate the highest common divisor of b and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + -1 - ((-2 - (-50 - -28)) + 8).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50541 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - 0.1. Let y = -3.5 - s. Let k = 16.2 + -16.2. Sort y, 1\/4, k, 0.4 in ascending order.\nAnswer: y, k, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 6 + 2. Let s(o) = -46*o + 1610. Let h be s(35). Sort -5, 3, x, h.\nAnswer: -5, h, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/36)\/(2\/(-40)). Let x(v) = -2 + i - 10*v + 12*v. What is x(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytrrpttrrrcrptyry. What is prob of picking 2 t and 1 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.2, 1, -0.1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*a - 6139, 9*p = -2*a + 13*p + 4066. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -179. Suppose -f + 150 = g. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2. Let l(z) = -z**2. Let o(m) = -5*l(m) + p(m). Let n(v) = -2*v. Determine n(o(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*b - 249*b - 56 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u + 2. Let z be (2\/(-9))\/((-1)\/u). Does 1\/4 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300867?\nAnswer: 3, 7, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 3666128?\nAnswer: -329951.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t + 12. Suppose 5*k + 55 = t*g, 4*k - 5*g + 54 - 6 = 0. Let r = 9 + k. What is the second smallest value in r, 3, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 108*d**2 - 105*d**2 + 2*d to c + k*d + n*d**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/36 of a hour?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/5535 and 73\/5535.\nAnswer: 5535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = -100. Let n = -1 - a. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831777 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 3:01 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -7, -15?\n\"Answer: -8*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 w when three letters picked without replacement from {w: 1, m: 1, x: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20688799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/9)\/((-2)\/6). Which is greater: 4\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 57*n\/5 - 994\/5.\nAnswer: (n - 71)*(n + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o + 3. Suppose 3*f - 3*n = o, -1 = -3*f - 4*n - 13. Let g(k) = -k**2 + k - 2. Give g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 628 + -632. Let l(g) = 305*g**3 - 4*g**2 - 159*g. Let i(k) = k**2 - 2*k. Let m(t) = p*i(t) - l(t). Find the second derivative of m(o) wrt o.\nAnswer: -1830*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581*s**2 + 744*s**3 - 3*s - 2245*s**3 + 3*s + 742*s**3 + 758*s**3.\nAnswer: -s**3 - 581*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u + 4. Let v be q(4). Suppose 5*n - 47 = 5*c - 7, 3*n - 27 = v*c. Let m be 8\/c*(-6)\/4. Solve -f = -1 + m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3249 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: What are the prime factors of 1133631?\nAnswer: 3, 125959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 66*o**3 + 8*o**2 - 155*o - 14. What are the prime factors of b(10)?\nAnswer: 2, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 100 = -16. Let g be 8\/z*-6 - 41. Let b = g + 93\/2. Put -1\/6, 0.02, b, -3 in increasing order.\nAnswer: -3, -1\/6, 0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001285788403 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 7:50 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let k be (6\/5)\/(2\/(-40)). Let d = -15 - k. Let b(n) = 9 - d + 0 - 9*n**2. Give b(y(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 244805822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 - 34*d**2 + 8*d + 33. Let u be x(-12). Let w be ((-100)\/u)\/(-4 - -2). Sort w, 0.5, -90 in decreasing order.\nAnswer: 0.5, w, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-59)\/5 - -4) + -2 and -55\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2103 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 171*x**2 - 1155*x + 2. Give v(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797808800 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -103819*b - 2491632. Calculate p(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-5)\/180). Suppose 2*j = 4*m + y, 2*j + 3*m = m. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/5)\/(36\/355230)?\nAnswer: 2, 3, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 231*p**4 - 6*p**2 - 210*p. Let m(a) = -233*a**4 + 5*a**2 + 210*a. Let y(s) = -6*m(s) - 5*q(s). What is the second derivative of y(n) wrt n?\nAnswer: 2916*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(0 + 0 - 2*b**2) + 413*b**2 + 178*b**2 - 28*b**2.\nAnswer: 565*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1021 + -45.\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 1\/3*d**3 + 1\/60*d**5 - 2*d**2 + 0*d + 0 + 1\/24*d**4. Let p be c(0). Solve p*y + y - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-572)\/33)\/13*(-6)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2503, 123, 3, 5, -5, -1, -2 in decreasing order.\nAnswer: 123, 5, 3, -1, -2, -5, -2503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13500448?\nAnswer: 2, 13, 17, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1637 + -0.3637. Which is the fourth biggest value? (a) 0.2 (b) r (c) 1\/6 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.042 + 0.042. Let g = v - -22.99999911. Round g to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(25 + -18 - (0 + 6)). Solve -3*o + m + 11 = w*m, 5*m - 28 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -253748.\nAnswer: -253692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 5 - 43 - 9*p. Calculate the least common multiple of w(-6) and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 15, 0, -31, -84, -165, -280, -435?\n\"Answer: -d**3 + d**2 - d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-10 + 1 + 3 - -3). Let q = -41 + 61. Suppose q = -w*v, 2*l - 3*v - 21 = -0*v. Solve 0*p = p - l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*u + 16, 2*u + 19*c = 21*c + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - y**2 + 1 + (-6*y**2 + 4*y**2 + y**2)*(-2 - 4 + 5) + 44 - 44 - 6*y**2 + (0 + 0 - y)*(4*y - 3*y + 0*y) - y**2 - 4*y + 4*y.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a + 448 = -s + 379, 2*s - 2*a + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 divided by -3?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - 3) - (0 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 3*z + 22. Let p be 21\/(-147) + (-12)\/14 + z. Let a be ((-27)\/6 + 0)\/(p\/(-4)). Let b(t) = -2*t - 9. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*o - 4*x, 4*o + 7*x + 3*x = -3*x - 23 - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16257729 is divided by 190?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cctmvccmcbmb. Give prob of picking 2 m and 1 v.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -289, -645, -1141, -1777, -2553, -3469?\nAnswer: -4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*r + 72302 + 11447 = 0. What are the prime factors of r?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 13, 36, 65, 100?\n\"Answer: 3*f**2 + 8*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3\/227, -3, 32, 1\/9, 3?\nAnswer: -3\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 - 135*o**4 - 279*o**3 + 67*o**2 - 669*o - 2?\nAnswer: 120*o**2 - 3240*o - 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*(-9)\/(-2). Suppose -4*d - 49 = -5*c, b*c = -4*d + 12 + 11. Suppose -4*j - 180 = -c*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0191 - 47.7809. Let l = 48.2 + q. Sort l, -2\/15, 0.04, 2 in increasing order.\nAnswer: -2\/15, 0.04, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 5, -1111, -2, -3 in increasing order.\nAnswer: -1111, -3, -2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j = -30*j, -3*o = -4*j - 12. Solve 0 = -o*p - 3*q - 21, 3*p + 3*q = -2*q - 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 470912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 8*n**2 - 2*n - 23. What is t(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, g: 3, r: 1, c: 4}. Give prob of picking 2 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j**4 - 117 + j - 1\/5*j**5 - 13\/2*j**2 + 58\/3*j**3. Find the second derivative of f(i) wrt i.\nAnswer: -12*i**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 362 + -348. Let f(v) = x*v + 5*v - 31*v + 13*v. Let s(j) = 275*j**2. Determine s(f(y)).\nAnswer: 275*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0687 times -0.235?\nAnswer: -0.4861445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, e: 10}. Give prob of sequence ke.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3095211 is divided by 558?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -74*z**3 + 3*z**2 + 3*z + 8. Let b(p) = -74*p**3 + 4*p**2 + 4*p + 10. Let r(t) = 4*b(t) - 5*n(t). What is the tens digit of r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 75 = -64*k - 21*k. Solve 24 - 44 = -k*g + 4*v, 14 = 2*g - 3*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 228 = -3*p. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4587135 and 3318.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67662 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.05, 0.3, -1045?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 + 3524*l**2 + 1552322*l = 0. Calculate l.\nAnswer: -881, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026995800.\nAnswer: 2, 5, 10134979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39751986187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 41*o + 112 + 118 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40742722153.69994906 - 40742722637. Let v = -483.3 - d. What is v rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywywdiyidwwdwy. Give prob of sequence ii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -7, -5, 0.09, -2528?\nAnswer: -2528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31944 is divided by 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 60430.64 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.29 - 0.19. Let t = -3.9 - s. What is the second smallest value in 0.5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3 + 7*v - 9*v**2 + 2 + 2. Let t(m) be the third derivative of 0 - 1\/2*m**3 - 1\/8*m**4 - 3*m**2 + 0*m + 1\/15*m**5. Calculate 3*a(g) + 7*t(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261.4 + -33.4. Let g = d - 227.8. Suppose 42 + 32 = t + 3*o, 0 = 3*t + 2*o - 229. Which is the third smallest value? (a) g (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/20 + s**4\/2 + s**3\/2 - 9*s**2\/2 + 2*s. What is the units digit of z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 273\/(-966)*(2 - (-450)\/(-195)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/27, 0.3, -2\/3, 3 in descending order.\nAnswer: 3, 0.3, -2\/3, -20\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 + 56*k**2 + 35*k + 88. Suppose -3*c - 42 = -6*c. What is the smallest common multiple of c and f(-18)?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, -17, -223, -627, -1295, -2293?\nAnswer: -3687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27959, 29492, 32047, 35624, 40223?\nAnswer: 45844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.542942495 - -5.\nAnswer: 4.457057505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68) + -1*sqrt(68) + sqrt(68)) + (2*sqrt(68) - sqrt(68))*2)\/((sqrt(400) - -3*sqrt(400)) + sqrt(484)*2).\nAnswer: 7*sqrt(17)\/62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68159, 68151, 68139, 68117, 68079, 68019, 67931?\nAnswer: 67809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 0, 8*f = 11*f + 4*i + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6618 and -77\/16545.\nAnswer: 33090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2485*-1254.\nAnswer: 311.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 14b87?\nAnswer: -14b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*u - 493 = 0, -507 = -d - 2*d + 3*u. Let f be -4 - d - (-3 + 1). Let t = f - -273. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -324 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/(-9) - 4)\/(95\/38).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 3. Let b be x(2). Let w be b*4*(-16 + 15). Let h = -0.4 - -0.2. Put -4, h, w in descending order.\nAnswer: w, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/3357 and -1.\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4447 + 4453. Suppose -6 = -2*t - 2*r, 5*t - r = -3*r. Let s(d) = -d**3 - 3*d**2 - 2*d + 2. Let u be s(t). Is p at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/598 and 9\/65370370?\nAnswer: 65370370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*q = -123, -q + 26 + 15 = k. Calculate the remainder when k is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6237 + -3568. List the prime factors of p.\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212200 - -2?\nAnswer: -1212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - 166\/(-340). Let h = -0.7 + 0.8. Let g = 199\/4 + -605\/12. Sort n, h, -0.5, g in decreasing order.\nAnswer: h, n, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -579*s - 409*s + 243*s + 1490 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141906 is divided by 1613.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/194110 and -71\/9870.\nAnswer: 582330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/5 + 4768*d**4 - 14251468*d**3 + 255140800*d**2 - 467546266*d + 1133260832\/5 = 0.\nAnswer: 1, 16, 5951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3 = -4*h - 4, -3*h + 1 = 4*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 14*n = -9*n - 10, -3*n + 6 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 6 - 4. Let o = -9 - b. Let h = 0 + -1. Sort 4, o, h in increasing order.\nAnswer: h, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2742162 divided by -2911?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v - 5. Let u be l(-7). Let r be (-4)\/(-12) + 1941\/u. Suppose -r = -7*h + 3*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11728 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6031\/30 - 201. Let j(c) be the third derivative of -1\/12*c**4 + 0*c**3 + 0*c - l*c**5 + 0 - c**2. What is the second derivative of j(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2 - 2*u + u**2 - 7 + 0. Let g be j(4). Let d(v) = 2*v + 3*v - 2*v - g. What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -7. Let j(b) = -b**2 - 7*b - 7. Let z be j(-6). Let m be (-2 - z)*1 + 5. Sort 3, i, m in decreasing order.\nAnswer: m, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -68. Suppose a + 5 = 5*i + 2*a, -2*i + 2*a = -b. Let k = -0.02 - -3.02. What is the third smallest value in 1, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by -3520037\nAnswer: -127\/3520037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - 1 - 1 + 3.\nAnswer: -10*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77971737.59936 - -78007705. Let g = a + -35905.4. Let c = g - 62. Round c to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -818630, -3274524, -7367680, -13098098, -20465778?\n\"Answer: -818631*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -3198*p**7\/7 + 889*p**3\/3 + p**2 + 3145. What is the third derivative of u(d) wrt d?\nAnswer: -383760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49205659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 18) + 14 - 5 - (0 - -24)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let g be 5 - (-2 + (3 - x)). Solve g - 13 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 9*b - 524. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 262, 0.4 in increasing order.\nAnswer: 0.4, 1, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0 + 1 - -1. Suppose 3*j = w*j + 37. Calculate the remainder when j is divided by (3 - 1)\/(10\/65).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((4\/(-376))\/(2\/4)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - 1)) + -7 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 3. Let q be (-18 - -6)*(-2)\/6. Let f be b(q). Factor -4*s**3 - 2*s**f + 3*s**2 + 3*s + 3*s**3 - 3.\nAnswer: -3*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6103 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 957.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t - 23 - 504 - 664 + 147 = 0 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735817*h + 10*h**3 - 735817*h.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b80a + 0?\nAnswer: 8b80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 6*v + 4*v**3 + 4 + 11*v - 3*v**3. Let g(c) = -c**3 + c**2 - 4*c - 3. Give -5*g(m) - 4*j(m).\nAnswer: m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**5\/60 + x**4\/24 + x**3\/6 + 10*x**2. Let t(r) = -4*r**2 + 6*r + 6. Suppose 5*i + 3 = 2*i. Calculate i*t(j) + 5*y(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -16. Suppose -2*w - o + 6*o = 35, -4*o = 2*w + u. Let d be 22\/w + 2\/10. Which is the closest to 1? (a) -0.5 (b) d (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158527 is divided by 14386.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)*o**3)\/(o**(2\/9)\/o**5))\/(o**(1\/5)\/o**(1\/2)*(o\/(o\/o**(-1)))**(-2\/35)) assuming o is positive.\nAnswer: o**(4843\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/180 - (-446)\/(-8). Let c(g) = 77*g**3 + 56*g. Let l(y) = 7*y**3 + 5*y. Calculate z*l(k) + 5*c(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a2a - -2eca?\nAnswer: -4a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-415)\/(-4482))\/(((-1)\/39)\/1)).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34591*o = 34442*o + 3576 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 990 and 9810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 18297374*h\/3 + 6099124\/3 = 0. What is h?\nAnswer: -3049562, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -225491 divided by 225491?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*f + 174 - 52 - 90 - 42, -f + 2 = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -200?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -427471367*p - 52222313 with respect to p.\nAnswer: -427471367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2670674378?\nAnswer: 2, 313, 4266253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4557711?\nAnswer: 3, 1519237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 174*q**2 + 10092*q - 195112.\nAnswer: (q - 58)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 2:35 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*3\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**2 + 26*d**2 + 654*d**3.\nAnswer: 654*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 + 3. Let d(z) = -14*z**2 - 8. Let u(t) = 3*d(t) + 8*y(t). Let k(w) = -11*w. Give k(u(m)).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(88))\/(sqrt(288)*-1) - ((sqrt(275) + 3)**2 - (sqrt(44) + -4))).\nAnswer: 425*sqrt(11)\/3 + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -26*j - 3*j**3 + j**3 - j**3 + 0*j**3 + 2*j**3 - 149 - 18*j**2. Let o be a(-17). Solve 0 = -o*k - k + 2*x + 16, -3*k - x = -14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 2 (c) -3 (d) 0.1 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6766 or 9076?\nAnswer: 9076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*l**3 - 1442*l**2 - 329974*l.\nAnswer: 120*l - 2884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -13.91. Let m = 42.59 + -42. Let g = q - m. Which is the third biggest value? (a) g (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s + 5. Let z(f) = -8*f - 17. Let d(i) = 26*i + 62. Let w(y) = 2*d(y) + 7*z(y). What is -3*v(c) + 4*w(c)?\nAnswer: -c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Find the common denominator of (-543)\/90 - d\/3 and (76\/1026)\/(2\/(-192)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3599 = -3*p - 4*k, 35*k - 32*k + 3585 = 3*p. Calculate the greatest common factor of p and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 192*d**3 - 3*d**2 - 8*d - 6. Calculate z(-1).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*i = -i + 11, -2*z = i - 4. What is the remainder when 95 is divided by ((-25)\/4)\/(z\/(0 + -4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121113213 (base 4) to base 8\nAnswer: 6312747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5452*x = -5463*x + 77 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b + 2*b. Suppose b*d = 5*d + 3*c - 92, -2*c - 21 = -d. Differentiate 3*f**4 - 1884*f**2 - d + 6 + 1884*f**2 with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 381*o**2 + 34. Let r(c) = 127*c**2 + 12. What is -6*g(b) + 17*r(b)?\nAnswer: -127*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-11 + 24 + 4)*(8*q**4 + 2*q**3 - 17*q**3 + 14*q**3).\nAnswer: -136*q**4 + 17*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0*t**2 - 1\/160*t**5 - 57*t - 1\/96*t**4 + 0 + 1\/24*t**3. Factor n(p).\nAnswer: -p*(p - 1)*(p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**3 - z**2 + z - 1. Let m be g(1). Suppose 0 = -v + 4*v - m. Suppose -v*h = -3*h + 27. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2210? (a) -7 (b) -0.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 10*f**2 - 23*f**2 - 2*f**2.\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - -20.88. Let l = z + -21.29. What is l rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -139. What is the second derivative of -g**2 - a + 0*g + 12*g**2 - 5*g - 10*g**2 + 5*g**4 wrt g?\nAnswer: 60*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24830 at most -158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**19\/(j\/(j**(-1\/8)\/j)*j*j**(-5)\/j))**34 assuming j is positive.\nAnswer: j**(391\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/37, 2\/7, 2\/5 in descending order.\nAnswer: 2\/5, 2\/7, 5\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 10642 - 28163. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.72 - 3.02. Are 5 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v)*(10*v - 28*v + 11*v).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -39. Let m = -4 - u. Let a(o) = o**3 + 7*o**2 - 17*o - 5. Let p be a(m). Round p to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135*i**3 + 223.\nAnswer: -405*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aearereuaeueve. What is prob of sequence re?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/5 + 862242*p**2\/5 + 3448936*p\/5 = 0 for p.\nAnswer: -431117, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*b - 5*s - 37 = 1098*b, b + 2*s + 13 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + s**2 + 0*s**2 + (-s + 3*s + 2*s + 2*s - s + s + (3*s - 3*s - 2*s)*(-1 + 1 - 2))*(-12 - 12 - 5)*(2*s + 0 + 0).\nAnswer: -582*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44969023*g**2 + 8439918*g.\nAnswer: -89938046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 + 10295461*x\/7.\nAnswer: -x*(x - 10295461)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - -3223) + 7 + (8 - 16) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 17. Suppose -4*j = -3*j - 3*a - z, -a = 5. What is the remainder when 28 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 12 + 9)*(-3*l**2 - 3*l**2 + 3*l**2).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((6 - -2) + (6 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*(-14)\/(-315))\/((-16)\/110)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 2 j when four letters picked without replacement from vnaejnbanjan?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**2 + 16\/3*d**3 + 0 + d. Let z be h(1). What is the greatest common factor of 48 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 2140*k - 2289800.\nAnswer: -(k - 2140)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228566 is divided by 66?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/720 + 7*j**5\/60 + 19*j**4\/24 + 12*j**2. Let q(v) be the second derivative of c(v). Does 5 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-756)\/24 + 29)*(99\/(-75) + 1). Factor 2\/5*a**3 - s*a**2 + 0 + 2\/5*a**4 + 0*a.\nAnswer: 2*a**2*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11857 + -8346. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-7)\/((-14)\/(-4)). Suppose d = -2*n - 4*l + 12, 4*n - 4*l + l = 35. Solve 0 = -4*s + n, 0 = 2*r + 4*s - 0*s - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208092850 to the power of 1\/2, to the nearest integer?\nAnswer: 46990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-12*(-1)\/8)\/45?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*g*t**3 - 3991*g*t**2 + 2*g*t - 367*g - 2*t**2 + 3*t + 3 wrt t?\nAnswer: -96*g*t - 7982*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1)*q*q**(-2\/11)*q**(-2\/13)\/(q\/(q\/(q**2*q))) assuming q is positive.\nAnswer: q**(-477\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3452941?\nAnswer: 113, 30557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 311*w - 5498*w.\nAnswer: -5809*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 7*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22628308*d**5 - 2*d**3 + 28*d**2 - 25352*d - 2 wrt d?\nAnswer: 1357698480*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124423243 - -5?\nAnswer: 124423252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.6, -60, -3 in ascending order.\nAnswer: -60, -3, -2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*f - 51 = -271*f. Is (361004\/70)\/(-3 + f\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2061 - 2071 + 3*n**2 + 3*n + 3*n**2 + 327201*n**3. Let m be v(-5). What is m rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwlw when four letters picked without replacement from {w: 7, l: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(175) - -4*(1 + sqrt(7)).\nAnswer: 7 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15455537 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmyh when four letters picked without replacement from {h: 2, m: 10, y: 6}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + 7*l - 15. Suppose 2*h + h = -9. Let j be (h - -3)\/(2*2). Let a = -6 - j. Let g(c) = 4*c**2 + 4*c - 8. What is a*x(f) + 11*g(f)?\nAnswer: 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 7*h - 12. What is a(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -10*a - 16. Suppose 0 = a*m - m - 6. Suppose m*s + 126 = 3*s - u, 505 = 4*s - 5*u. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 67*j - 4. Let l be c(4). Let q(f) = 21*f**2 + 5*f - 2. Let k be q(1). Calculate the greatest common factor of k and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 6*c**2 + 7*c - 8. Give x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-15) - 106\/(-10). Calculate the highest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -10202?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9530917.\nAnswer: 11, 181, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 31696.73 to the nearest 100.\nAnswer: 31700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117160266849 less than -4?\nAnswer: -4.117160266849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*-1*sqrt(114) - sqrt(114))\/(-1*sqrt(864)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*d - 55*d - 993737. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4435089\/1147894 - -2\/52177. Suppose -4 = -2*j + 2. What is the common denominator of x and (53\/3)\/(2\/j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1262761372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) 21099 (d) 1\/3 (e) 8 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*b**5 - 11*b**4 - 2*b + 264 wrt b.\nAnswer: 460*b**3 - 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6231.05 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**5 + 2*c**3\/3 + 9. Let o be (-4)\/14 - (-138)\/42. Let w(q) = 40*q**4 - 15*q**2. Let p(l) = o*w(l) + 25*n(l). Factor p(h).\nAnswer: -5*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 40062*a**2 - 143977995*a - 66951208800.\nAnswer: -3*(a + 544)*(a + 6405)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19789*v - 157835*v - 846*v + 5265*v.\nAnswer: -173205*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304)\/(-16) - 32\/16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*a - 35*a - 55*a + 19*a + 6*a)*(12*a**3 - 10*a**3 + 27*a**3) as y*a**4 + b*a**2 + f*a + r*a**3 + v and give y.\nAnswer: -3248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o - 9. Let z(j) = -11*j + 20. Let w(k) = -9*t(k) - 4*z(k). What is w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(((-3)\/4)\/1*4\/(-531))?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -18. Suppose 15*o + 57 + 93 = 0. Let c be ((-3)\/((-60)\/(-28)))\/((-2)\/o). Is t > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m**5 - 312*m**4 + 314*m**3 - 80*m**2 + 6*m = 0. Calculate m.\nAnswer: 0, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*p**5 - 13*p - 5*p - 36*p**5 wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.04853 in -0.1, 0, 7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 65335.01cm?\nAnswer: 653350.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnnp when four letters picked without replacement from npppppppnpnnpppppnn.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/(-40) - 1\/(-4)*-2. Suppose -h*j + 20 = -0*j + 2*x, j - 2*x - 20 = 0. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, 3*n - 2*n + 5 = -p. Let i = -2210 + 2205. Is p equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -2, 0.01, 6.\nAnswer: -2, -0.5, 0.01, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -y - 2*p, 22*p = y + 19*p + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 + 0*q**2 + q**3)*(31 - 26 + 13 + 192*q - 29) to r + p*q + c*q**3 + g*q**4 + n*q**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 9, g: 4}. What is prob of picking 2 x?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u - 360759 = -8*u + 11*u. Calculate the greatest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4222 - 4216. Let c = -4 + 6. Suppose 3*s + 3*q + 4 = -2, c*s = 2*q + 12. Sort 3, s, w in ascending order.\nAnswer: s, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356622505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 246?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-six sevenths of a week in days?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-4)))\/j*j*j\/j**(2\/9)*(j**(-2\/3))**48*(((j**(-2\/9)*j)\/j)**(-13))**(-5) assuming j is positive.\nAnswer: j**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 150*m + 155.\nAnswer: -5*(m - 31)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*o - 54, 0 = -o - 1 + 4. Suppose 20*j = 24*j - g. Suppose -j*x + 3*m = -182, 5*m - 245 = 2*x - 7*x. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 3*m + 13. Suppose g - 4*p = 20, 5*g - 3*p - 42 = -10. Suppose 0 = 8*y - g*y - 52. Calculate the greatest common factor of m and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1166 smaller than 336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:28 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232.0026us to minutes.\nAnswer: 0.00000386671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {t: 1, p: 1, r: 1, o: 4, z: 1, s: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27 - 4)\/(-1)*(-1 + 0). Let d = f + 1. Is 25 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2897 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 6:35 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1620864 and -1.133.\nAnswer: 1620862.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/189*2163\/(-1030).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38355 (base 11) to base 10\nAnswer: 54994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 2. Let p(d) = 454*d**2. What is v(p(k))?\nAnswer: -454*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(76))**2*6.\nAnswer: -960 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 2\/5, 0.066, -2\/35 in increasing order.\nAnswer: -0.5, -2\/35, 0.066, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, w: 4}. Give prob of sequence rw.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5403160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/5, -15\/2, 4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -12114.\nAnswer: -605.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 13. Let u = -14 - -17. Let j(l) = 0 + 2*l + 6 + u. Give -7*j(b) + 5*w(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 23 = -7. Suppose -5*o - 4*i = -i - 73, r*o + 2*i = 58. Calculate the greatest common factor of 112 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000120112202 (base 3) in base 13?\nAnswer: -2b7c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-153))\/((-2)\/5*(-525)\/420)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4 - 0. Suppose k*p - 2 + 22 = -5*q, -2*p + 5*q = 10. Let c be (4\/(-8))\/1*-2. What is the biggest value in c, p, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41584 divided by -23.\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2)\/g**(-7))**(2\/11) assuming g is positive.\nAnswer: g**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 429051285 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/120 - 2*n**5\/15 - n**4\/6 - 11*n**3\/6 + 2*n**2. Calculate the remainder when h(9) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 9, s: 2, g: 1}. Give prob of sequence gl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92716 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/10))\/((f*f**(-7))\/f)*(f**(-1\/3))**(-14) assuming f is positive.\nAnswer: f**(389\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 948 and 28704.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-6)*(-4)\/(-3). Suppose 7*j = -v + k*j + 16, -4*j = -2*v - 24. Which is the closest to 0? (a) -2\/5 (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -60*k**2 + 237*k - 234 = 0.\nAnswer: 39\/20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7786853560 + -1123\nAnswer: 7786852437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1201, -1074, -721, -28, 1119, 2834?\n\"Answer: 19*q**3 - q**2 - 3*q - 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87888911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 224*i + 2895. Give o(12).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-21))\/(5\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19857222 is divided by 9928545?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l - 6. Let y be -7 - (1 + (-6 - -2)). Does 13 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - 0.37. Let q = 0.131 + -0.631. What is the smallest value in q, -5, a, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 10216606*b - 10216606*b. Let t(c) = 2*c**2 - 3*c**2 - 10*c**2. Give t(g(r)).\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 169.7, 1\/6, -153, 2, 0.07?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38607, -38603, -38599, -38595, -38591, -38587?\n\"Answer: 4*q - 38611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94072 divided by 2?\nAnswer: -47036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 12*g - 16. What is the smallest common multiple of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwfw.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70107*d**3 + 2945*d?\nAnswer: 420642*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.39 - -1.39. Let m = f + 68. Sort -3, 1\/3, m in increasing order.\nAnswer: -3, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221 - 146. Suppose v - 5*v + 142 = 2*s, 2*v = -5*s + n. Let r = v + -20. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15 - 60 + 44. Let g(i) = 2*i + 5. Calculate -g(v) + 3*w(v).\nAnswer: -2*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/4)))\/s*s*s\/s**(-3\/16)*s\/s**(-4\/7)*(s\/(s*s*s**25*s))\/s assuming s is positive.\nAnswer: s**(-2799\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) - 273\/(-35). Suppose 0 = 4*l - x - 0. Let z(i) = -6*i + 6*i - i**l. Let m(d) = -d**2. Give m(z(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2990*x**3 + 391*x**2. Let c(m) = -23*m**3 - 3*m**2. Determine 6*b(i) + 782*c(i).\nAnswer: -46*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Let b = -6 + v. Sort 0, b, 2.\nAnswer: b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = 3*o, 4*o = -r - 3*r - 40. Let l = o + 19. Solve -d + 4*q - l = -5*d, -d = 2*q - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3, 0.325961?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 12 - 29)*(-1 + 1 + t).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - 0.17. What is the nearest to -1\/10 in -2\/7, u, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -371338, -371339, -371340?\n\"Answer: -f - 371337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35, 29, 23?\n\"Answer: -6*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1.491, 4.376?\nAnswer: -1.491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(14\/(-28))*(-20)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -344. Does 50 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**3 - 23*d**3 + 6*d**3)*(2 + 3 + 1)*(0 + d + 0)*(-2 - 3 + 1).\nAnswer: 576*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 - 2*m - 3. Let g(d) = -d + 30. Let o be g(27). Suppose o*x - 8 = 2*a - x, 5*a + 2*x = 28. Suppose 17 - 9 = -a*f. Determine y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2308.\nAnswer: -230.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6214*g + 52779. Give v(-9).\nAnswer: -3147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m + 220*m - 11151 + 7134 = 13133 for m.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/800 and -31\/56.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 250 = 11. What is the greatest common factor of n and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -2*u**6\/5 + u**5\/5 - 64*u**4 + u**3\/3 - u + 264. Find the third derivative of f(k) wrt k.\nAnswer: -288*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 309158696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19135283774508 + 0.\nAnswer: -19135283774508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*v**3 + 0 - 3\/2*v**2 + 15\/8*v.\nAnswer: -3*v*(v - 1)*(v + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 894 + -1503. Let d = k + 609.6. Which is the nearest to d? (a) 3\/14 (b) 3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 o when four letters picked without replacement from oodcdccocoddoc?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4\/3 - 819*o**3\/2 - 4471*o**2\/3 + 484*o = 0.\nAnswer: -242, -4, 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) 3\/4 (c) -217 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 2. Let i be 66\/14 - (-38)\/133. Let h(p) = 9*p - 5. Give i*f(z) - 2*h(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 8. Let b be ((-120)\/(-42))\/((-2)\/(-14)). What is the tens digit of b\/2*(q + -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43501991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8148399 and -4.526.\nAnswer: -8148403.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 253*i*j**3*m - 141*i*j**3 + 3*i*j**2 + 6*i + 23987*j**3*m + 2*j**3 - 479 with respect to m.\nAnswer: 253*i*j**3 + 23987*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19.36 times 0.4\nAnswer: -7.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from jmmjfymyyyjjjyf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*(2 - -2). Let k = 3 + t. What is the first derivative of k + 0*y + 0*y + y wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - i**2 + 2 - 3*i**2 + 3*i**2 + 3*i**2 + (4*i - 5*i + 3*i)*(0 + 0 - i) + 4750*i - 4750*i + 161*i**2 to the form h*i**2 + o*i + c and give h.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3885872370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 31 = -11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10438 + -229527\/22. Let j = 103 + -613\/6. Find the common denominator of d and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25208*a*p**2 + 34*a*p - 89244*p**2 - 146*p with respect to a.\nAnswer: 25208*p**2 + 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 45 = 3*o - 26, 3*s = -4*o - 34 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3174797+2\nAnswer: 3174799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 298.346 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z + h - 3, 0 = -5*z - 2*h + 17. Suppose 2*v - 856 = n, z*n + 1575 = -5*v - 949. Let w = n + 7642\/9. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225 + -225.0000436. What is i rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374*h*s**3*u*y**2 - 2*h*s**2*u - h*s + 2*h*y + 5*s**3 - 17*s**2*u*y - 1482*s**2*u - 3164*s*u*y**2 + s*u + 2*u*y**2 wrt y?\nAnswer: 748*h*s**3*u - 6328*s*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 1657816*c - 9946885. Give i(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*4\/18 + 40\/(-96). Let f = 21\/10 - 8\/5. Factor 1\/4 + u*x**2 - f*x.\nAnswer: (x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/((-6)\/3)*7*(-52)\/182.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1394*j**2 + 1391*j**2 + j - 2784*j**2 + (1 + j - 1)*(5 + 4*j - 5))*(0*j - 5*j - 2*j).\nAnswer: -35*j**3 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - f + 2. Let z be s(1). Let c(v) = -v**3 + 8*v**2 + v + 3. Is 4 a factor of c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (-1 + sqrt(972) - (sqrt(2700)*-3)**2))*-6.\nAnswer: -583176 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/7715 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208*s**2 - s - 17.\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1094 - 2810\nAnswer: -3904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222242496 divided by 7.\nAnswer: 31748928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41257043 - -41257043.30400219. Let z = s + -0.304. What is z rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 9*v - 40. Let r = -10 - v. What is the units digit of r\/(-3 - 33\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 4. Let r be t(3). Let p be (-8)\/(-20) + r\/5. Solve 16 = p*o + 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + 3 - -730 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -10, 4 in decreasing order.\nAnswer: 4, 0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 4*b**2 - 6*b**2)*(4*b**2 - 18*b**2 + 8*b**2) + 3*b**4 + b**4 - 2*b**4.\nAnswer: 44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 153*r - 5641. What is y(37)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*u - 30, -2*u - 2*w = -w - 5. Suppose -4*r - u*k - 22 = -63, -5*k = -3*r + 22. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 9486787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 39*i**3 - 285*i**2 - 6*i - 8. Let p(c) = -26*c**3 + 178*c**2 + 4*c + 5. Determine 5*j(k) + 8*p(k).\nAnswer: -13*k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - g + 20 + 35 = 0, -g + 142 = 5*u. Calculate the remainder when u is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 4. Let o be l(0). Let w be (-1)\/o - 110\/(-40). Solve s - w*g = -0*s + 12, -12 = -5*s + 3*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/300 + 4*k**5\/75 + 11*k**4\/20 + 184*k**2. Factor b(x).\nAnswer: -2*x*(x - 11)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 5, 4 in descending order.\nAnswer: 144, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 1695*u + 5112.\nAnswer: -3*(u - 3)*(u + 568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -41*s + 638. What is the remainder when p(-25) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 47 - 304. Suppose 44*w - q*w = 0. Is 245 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q + 593. What is k(-59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -195, -231, -301, -417, -591?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 10:26 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 833*t**3 - 2593*t**3 + 1646*t**3.\nAnswer: -114*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t, 2*n - 10 = -35*t + 41*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**7\/240 + 11*h**6\/120 - h**5 + 25*h**2. Let r(y) be the third derivative of g(y). Differentiate r(o) wrt o.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-12) + (-43035)\/(-4095). Let i = s + -68\/7. Is i at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o\/(o*o*o\/o**2*o*o) assuming o is positive.\nAnswer: o**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -3) + 2 + 360. Let c = w - 200. What is the highest common divisor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4 = 43*g - 43*g, -5*f - 12 = -g - 49 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 42 = 17*k. Suppose -2*g - 26 = -k*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*v**5 - 7*v**5 + 4*v**5 + v**4 - 27*v**2 + 67 - 69 wrt v?\nAnswer: -1740*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 233472.\nAnswer: 233472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 269*m + 309*m in the form k*m + x and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6749, 3452, 145, -3178, -6523?\nAnswer: -9896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.877557 take away 0.3?\nAnswer: 0.577557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1535762\/105 + -14627. What is the common denominator of y and 113\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.99. Let u = -0.11 - h. Let q = 75 + -374\/5. Which is the closest to u? (a) -5 (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -81. Suppose 0 = -l*c - 74 + 319. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331 - -380 - (2 + 3 + (-2 - 4)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -49\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415436.9 seconds in weeks?\nAnswer: 7.30065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*k**2 - 2*k**3 + 0*k**3 - 7 + 5 to the form f*k**3 + g*k + p*k**2 + j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/216*9*200\/750.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -19*y + 20. Let m be d(-9). Suppose 3*x + 0*x = 4*n + 121, -5*x + m = -4*n. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -1\/7, 54\/11, -1.\nAnswer: -1, -1\/7, -0.1, 0, 54\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k - 10. Let u be t(4). Suppose -u = -m - 3*m - 5*s, 5*s - 10 = 0. What is the least common multiple of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 + 192. Let q = v + 12. What is the remainder when q is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 666 + -107227\/161. Let p = a - 9817\/644. What is the common denominator of p and 95\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 54\/5, 4.\nAnswer: -117, 4, 54\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*(-3 - 498\/(-140)) and ((-8)\/(-42))\/(-1*(-24)\/846)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11) + -3 + -3.\nAnswer: -7 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51.7 + 1609.7. Let h = d + -1558.3188. What is h rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 8. Suppose 3*u + 5*n = -19 - 28, 4*n = -j. Is 4 a factor of 4\/u - (-58)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 5 + (-4 - -2). Solve -o = 4*u - 3*r, -u - 2*u - 2 = -2*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*m + 12705 = 1087 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 34. Let j be g(-10). What is the common denominator of 3 + 26\/(-9) - j and (4\/(-3))\/((-7)\/12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -25\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*c - 5*c. Suppose c*z - 2 = 8. Solve z*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -124*v - 703. What is w(-5)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1286 + 1281. Sort h, 60, 4 in decreasing order.\nAnswer: 60, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.44 (c) -1.7 (d) -1\/470 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 - 11. Let z(y) = 3*y**2 - 5. Let g(b) = 2*x(b) - 5*z(b). Let c(j) = 4*j**2 - 2. Give -3*c(i) - 2*g(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.71 * 1\nAnswer: 3.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*u**5 - 2*u**4 - 768*u**3 + 1161683*u.\nAnswer: -760*u**3 - 24*u**2 - 4608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:07 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2458*o + 243352. Give x(99).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/669236 and -61\/4?\nAnswer: 669236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/30 + 33*f**2. Suppose -8 = -0*j - 2*j. Let k(x) = j*x - 2*x + 24*x. Calculate k(i(z)).\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3325 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969*i - 4347 = 1158*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7819.\nAnswer: 4\/7819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h + 53*h - 606927 = 302448. Calculate the greatest common divisor of 75 and h.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*y + 15 = 0, 9099*l - 9101*l + 7*y = 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*o + 17 - 7, 27*o + 1209 - 1099 = -5*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-7 - -4) + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**7\/210 + 5*h**4\/12 - 11*h**2. Let n(a) be the second derivative of i(a). Let b(v) = 2*v**2. What is n(b(u))?\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 3*d**2 - 3*d - 2. Let k be o(-2). Let p be 1*(0 - 1) + 3. Find the third derivative of m**2 + k*m**p - 3*m**2 + m**3 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-4)\/(8\/3). Suppose -j - 3*x - 12 = 0, -7*j = -3*j + n*x + 3. Calculate the remainder when 3 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + f**2 + f + 1. Let h(j) = -j**3 - j. Let b(k) = -h(k) + y(k). Let q(l) = 8*l**3 + 6*l**2 + 16*l + 8. Let v(w) = 8*b(w) - q(w). Factor v(i).\nAnswer: 2*i**2*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/2 + 261*z**2\/2 - 1659*z\/2 + 1395\/2 = 0. What is z?\nAnswer: -93, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 342*t**4 + 57*t**2 - 59*t**2 + (2*t + 0*t - 4*t)*(t**3 + t**3 - t**3) + 2*t**2 - t**4 - 2*t**2.\nAnswer: -345*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 + 8*f - 3. Let l = -1 - -4. Calculate the remainder when i(6) is divided by (-3)\/2*(-10)\/l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6579003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 + 5*l - 17. Let f be w(-7). Let m be (f\/(-4))\/((-9)\/(-24)). Solve 5*a - 35 = 3*p, -4*a + p - m*p + 11 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -3*k - k. Let f be (-2 + 3)*5 + 21. Let i be (-24)\/k + f\/7. Solve 7 - 1 = -i*q - 2*u, q + 2*u = 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**3\/6 + 4*o**2 + 5*o. Let m be (-16)\/6*(-18)\/8. Let x be ((-8)\/6)\/(m*(-4)\/108). Calculate f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-18))\/(o*o*o\/(o*o*o**(-11)*o)*o*o*o) assuming o is positive.\nAnswer: o**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011026 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 6*j**2 + 5. Let c be d(4). Let s be (-18)\/30 - 131\/5*c. Round s to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {n: 2, h: 2, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 26*t + 72. Calculate s(35).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00888516 to five dps.\nAnswer: 0.00889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11666?\nAnswer: 2, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/495 + 14411660\/900?\nAnswer: 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 58*w**3\/3 - 157*w**2\/2 - w + 217. What is the second derivative of v(o) wrt o?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009708 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420.3 + -388. Let f = x + -32.30000531. Round f to 7 decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = 3*b, 4*b - 4 = -3*z + 1. Let u(w) = 3*w + b*w + 2 - 3*w. What is u(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)\/(g**4\/g)*(g*(g\/(g\/(g\/(g*g**(-1)))))\/g)**(45\/7) assuming g is positive.\nAnswer: g**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.235 minus 2?\nAnswer: -54.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/89562 and -23\/2658?\nAnswer: 39675966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, o: 2, c: 4, q: 2}. What is prob of picking 2 o and 2 q?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/7 - 193*z**4\/7 - 12090*z**3\/7 - 339250*z**2\/7 - 4403125*z\/7 - 3046875 = 0. Calculate z.\nAnswer: -105, -25, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(70\/(-15) + 3). Suppose m*p - p - 4 = 0. Which is smaller: 2\/21 or p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.5168319 milliseconds to days.\nAnswer: 0.00000024903740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(((-28)\/(-24) + -1)*(-16)\/(-11464)).\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 261. Calculate the highest common factor of v and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 - -299. Calculate the remainder when l is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 558 - 558 + 270*c - 468*c. Let r(k) = 3*k. What is r(x(j))?\nAnswer: -594*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -528 and 5.\nAnswer: -2640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 434754 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909 = h - 4*i + 343, 3*i + 1137 = 2*h. Is 36 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from kkkkvkkkkvkv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520185 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (4 + -5) - (-10 - 13) - 29.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmsmmsk. What is prob of sequence ss?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2566, -2559, -2550, -2539, -2526, -2511?\n\"Answer: m**2 + 4*m - 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/37229 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1 (c) 3 (d) 0.34 (e) -9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 5*i = -6*l + 1, 17 = 3*l - 5*i. Suppose 10*a - 9*a = -l*c - 427, -326 = 3*c - 5*a. Is -107 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.3871 micrometers to millimeters.\nAnswer: 0.6363871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/12 + 5*d**3\/2 - 9*d**2 - d. Let j be a(13). Suppose -3*k - k = -j. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 - 17610696\nAnswer: -17610639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 9*s**2 + 17*s + 11. Determine b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 2*r**4 - 3*r**4 + r**3 - 995 + 11*r**2 + 993 to the form l + u*r**2 + h*r**3 + n*r**4 + i*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119, -490, -1111, -1982, -3103, -4474, -6095?\n\"Answer: -125*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 24. Let w = 0.17 - 35.17. Let m = -33 - w. Which is the nearest to f? (a) -0.1 (b) 0.6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -247, -221, -173, -103, -11, 103?\n\"Answer: 11*n**2 - 7*n - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158381 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-3)\/7 - (-4160)\/2275)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11088.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48832?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 275 = 25. Suppose 3*o = s + 37, -5*o + 2*s = -o - z. Calculate the remainder when 142 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22748360 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 12*l - 7. Let b be y(9). What is the greatest common divisor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1320 and 10032.\nAnswer: 50160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/9 + (-2)\/(-6). Suppose 3*f - 3*p = 126, 3*f - 4*f = -2*p - 43. What is the remainder when f is divided by r\/(-3*6\/(-99))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20674 (base 14) in base 5?\nAnswer: 4444420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 21 = 7, -4*b + 5*z + 1755 = 1723 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221475 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089516256 to 3 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a - 1. Let t be ((-6)\/(-7))\/((-12)\/84). Let z(l) be the second derivative of -10*l**3\/3 + 3*l**2\/2 - l. Determine t*z(p) - 17*x(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*t + 2*l, -415*t - l + 10 = -412*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15556 divided by 193.\nAnswer: 15556\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*g**2*t - 2377*f**3*t**2 + 2*f**2*g**2*t**2 + 36*f**2*g**2*t + 7*f**2*g**2 + 30*f*g**2*t**2 wrt f?\nAnswer: 6*g**2*t - 14262*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**3 + t**4 + t**4 + 15*t + t**3 wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, s: 1, r: 2, y: 1, p: 2}. What is prob of picking 1 j, 1 y, and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49796?\nAnswer: 2, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 - -219. Solve u*j - 20*j + 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + g - 1)*(-203*g - 845*g + 71*g + 2) to p*g**2 + n + y*g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 - 5. Let n(o) = -7*o**2 + 2*o + 11. Let r(z) = z. Let d(l) = -n(l) + 2*r(l). Suppose 8 = -s + 3*s. Calculate s*d(a) - 9*c(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-679)\/(-98) - 4 - 3). What is the closest to 2\/9 in -112, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h + 3*h - 3*w, 2*h - 5*w = -17. Calculate the greatest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 370146.\nAnswer: 1850730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0987336246 rounded to 3 decimal places?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2465*c*g**4*o**3 - 19*c*g**3*o**3 - 35*c*g**2 + 4*c*g*o**2 - 2*c - 9*g**2*o**3 - 3*g**2*o wrt g?\nAnswer: 59160*c*g*o**3 - 114*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1 = -0*b - 20. Solve b*r = -562 + 555 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 - 68 + 511 = -39*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2978539, 5957070, 8935601, 11914132?\nAnswer: 14892663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32391 by -1.\nAnswer: -32391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*p + 97 + 107 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 624 and 30108.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -56. Suppose j*i - 6 = -6. Solve 5*f - 4*b - 19 = i, 5*b + 6 = f - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -5, 3 in decreasing order.\nAnswer: 15, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-21 + 71\/3)*(-75)\/(-4) + -6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i\/(i*i*i\/i**(-2))*(i*i**(-2\/15))\/(i\/(i\/(i*i**(2\/5)*i))))\/((i**(-1))**(-19))**(-1\/2) assuming i is positive.\nAnswer: i**(239\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18287881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4152 (base 8) to base 15\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let p(v) = 9*v**2 + 29*v - 120. Let x(n) = p(n) + 5*q(n). Solve x(o) = 0.\nAnswer: 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 1. Let k(b) = 2*b + 1. Let m(h) = -k(h) + 4*z(h). Let a be m(5). Suppose -a*u + 15 = -2*u. What is the highest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*r**2 - 2752*r - 848389?\nAnswer: -34*r - 2752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.47857 + 7487\nAnswer: 7487.47857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4459 = -311*x + 22808 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**8\/6720 + m**7\/2520 + 5*m**4\/24 - 3*m**3 + 150*m**2. Let l(t) be the second derivative of v(t). Factor l(s).\nAnswer: -s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (1 - 7) - 6) + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 34*s**2 + 31*s - 168. Is y(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61451943.\nAnswer: 3, 7, 2926283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5856, 5860, 5866, 5874, 5884, 5896?\nAnswer: 5910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.175 - -17.575. What is the third biggest value in -10, -2\/9, z, 2\/11, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 16*y**2 + 18*y - 276. Calculate j(11).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1053) - (-2 + 1*sqrt(1053)) - ((sqrt(1053) + 1*sqrt(1053) + -2 - sqrt(1053)) + sqrt(1053))) - (-5 + (3*sqrt(130)*-1)\/(sqrt(90)*-6)))**2.\nAnswer: -2261*sqrt(13)\/3 + 1358041\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -81158.9 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142216 and -0.259?\nAnswer: 36833.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/12 + 3*w**3\/2 + 5*w**2 + 69*w. Calculate g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (314 - -2)\/((64\/(-18))\/(-16)). Which is smaller: 1426 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 12*h**2 + h - 8. Let c be f(12). Solve -2*w = 2*i + 4, 0 = -c*w - 5*i + 3 - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 7032341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30082 is divided by 10020.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*m + 55170 - 46837 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 20*n + 1. Let q(y) = 4*y**2 + 60*y + 3. Calculate 2*q(h) - 7*u(h).\nAnswer: h**2 - 20*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*v - 148, -237 = -2*c - 5*v + 74. Let n = 235 - c. Let p be 1*(-7)\/((-14)\/n). Solve 3*g + 9 = -2*s - 13, -4*g - 4*s - p = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 20. Suppose 0 = -2*s + 4*s + 16. Let t be x(s). What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5803831259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/(-50))\/9)\/((-311)\/1555)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-12)\/4)*10\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 a when four letters picked without replacement from {a: 10, r: 4}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*12\/(-96))\/(2\/((-320)\/(-5))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/(-4))\/3)\/((-3789)\/(-8420))*15\/(-10)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3956)\/(-258) - (-1)\/(-3). Let n be w\/18 + 0 - (-2)\/(-6). Let -1\/2*r**4 + 0*r**2 + n + r**3 - r = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*7\/(-28))\/((-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1642018 and 2?\nAnswer: 1642018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 10*g**2 + 8*g - 1. Let u be w(9). Let n = -12 - u. Does 10 divide 15*(n - 30\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3226341 + 40?\nAnswer: -3226301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 25*l**4\/24 + l**3\/2 + 5*l**2. Let c(j) = j**2 + 1. Let g be c(1). What is the tens digit of t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(187))\/((2*sqrt(66) + sqrt(66))\/sqrt(6) - sqrt(11)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.4 and -0.452.\nAnswer: 2.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152895 is divided by 25478.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 766.6767 minutes?\nAnswer: 46000.602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezze when four letters picked without replacement from zezezzzeeezeezzzzzz?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + f)*(-9 + 8 + 0)*(-5*f + 3*f + f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 + 145. Find the first derivative of -5*o**4 + 38 + 7 - 10*o**r + 23*o**4 wrt o.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + 2. Let h = 3 - 3.1. Let w = 21\/22 + -5\/11. What is the closest to 1 in p, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, l: 2}. What is prob of sequence cc?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/120 + 3*v**5\/20 + 11*v**4\/24 + v**3 + 20*v**2. Is 19 a factor of l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -10 (b) -1\/6 (c) -3602\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 5*h - 239 + 169, -b = h - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v - 3*s + 53637 = -57*v, 4*v - 53657 = s. What are the prime factors of v?\nAnswer: 3, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1861429, -1860734, -1860037, -1859338, -1858637, -1857934, -1857229?\nAnswer: -1856522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -51, -77, -103?\n\"Answer: -26*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 1. Suppose -2*v - 3*v = -35. Let f be x(v). Let w(l) = -l**2 + 1. Let z(k) = -4*k**2 + 316*k - 318*k + 5 - 1. Determine f*w(d) - z(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28540 and 727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176544230 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(144\/32*(-1)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 4*v - 66, -k - 49 = -3*v. Let p = v + 19. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjejjjrrjmrjjrjmjrr. What is prob of picking 3 m?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = p - 4*u, -636*u = 3*p - 640*u + 175 - 157 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -57, -115, -197, -309, -457, -647?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g - 1. Calculate the remainder when 1\/51 + (-296881)\/(-2091) is divided by a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 46. Suppose -a = o - 3*o. Let z = o - -46. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 138*f + 8. Let d(c) = 46*c + 3. Give -11*d(j) + 4*m(j).\nAnswer: 46*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -28. Solve 0 = -4*o + o + b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*x + 323*x + 16400 = 579*x for x.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, z: 9}. What is prob of sequence lzlz?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 23*h**2 - 36*h + 35. Let x(j) = -2*j**2 - 1. Let a(g) = -v(g) + x(g). Let b be a(-19). Solve 7*z = 3*z + s + 24, z = b*s + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/53, 0.1, 0.5, -5?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 368.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 137, 0.02, 0.03, -2\/5, 0 in increasing order.\nAnswer: -2\/5, 0, 0.02, 0.03, 10, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 + -367. What is the remainder when 266 is divided by w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91892 - -1.\nAnswer: -91891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0413 - 4.9587. What is the nearest to 1\/2 in -2\/49, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -815 - -923. Calculate the least common multiple of y and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avaviavivia. Give prob of sequence via.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00228255 to six decimal places.\nAnswer: -0.002283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.852 * -18\nAnswer: -51.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a**3 + 8*a**2 + 6*a - 6. Let s(t) = -31*t**3 + 24*t**2 + 17*t - 17. Calculate -17*j(c) + 6*s(c).\nAnswer: c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2 + 4*h - 203. Let i(n) = 7*n**2 - 4*n + 204. Let w(o) = 5*i(o) + 6*s(o). Let y be w(0). Let a = y + 281. What are the prime factors of a?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3138.37057 to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/10700998 and -45\/7782544.\nAnswer: 85607984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1160337 and 694266?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 8:34 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 - 19*p - 29. Calculate w(-26).\nAnswer: -2239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17*w**2 + 2*w + 5. Let s(v) = 35*v**2 - 3*v - 12. Let t(a) = -9*i(a) - 4*s(a). Suppose -2*n + 20 = 3*n. Is t(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 6*h - h + 246*h**3 - 8*h - 14*h wrt h.\nAnswer: 1476*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 + 260*o + 3380 = 0 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-4)*48\/2. Suppose w - n = -2*w. Solve -w = -3*f + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 71 - (-4 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*b + 2 = -2*b, -5*s - 5*b = 35. Let v be s*(1\/2 + -3). Let g = v + -9. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/5)*a**(-6)\/a)\/(a\/(a\/(a\/a**(-4))))**(-1\/41) assuming a is positive.\nAnswer: a**(-1123\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -10*z**6 - 148*z**5\/5 - 22*z**4 + 8*z**3 + 10*z**2 - 4*z + 6. Determine j, given that s(j) = 0.\nAnswer: -1, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22861 take away 24111895.5?\nAnswer: -24089034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 4. Suppose 0 = p + 17 - 27. Let u be b(p). Suppose 8*z = u*z + 38. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -27*n**2 + 15*n + 73. Let u(x) = 13*x**2 - 2*x - 2. Give -2*u(p) - v(p).\nAnswer: p**2 - 11*p - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 4 = 4*o. Let d be 1*(-33)\/9 - 8\/(-12). Put 3, -8, d, o in decreasing order.\nAnswer: o, 3, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**2 + 7*s - 9. Suppose 0 = 3*o, -v - 2*v = 4*o + 15. Let h = -7 + 11. Let p(j) = -3*j + h*j**2 - 2 + 6*j - 2. Determine v*p(z) + 2*m(z).\nAnswer: -2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 37 - 28. Suppose 17 = 4*v + 5*z, z = p*v - 11 - 16. Which is bigger: v or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6667328*m**3 - 11117999*m**2.\nAnswer: 40003968","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102\/9 + 6\/9 and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**2 - u. Let s = 240 - 392. Let f = -30 - s. Let c = -123 + f. Give d(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2 - 802*x + 804 = 0?\nAnswer: -402, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-7 - -19) + (-11 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:36 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94630261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + l + 10 = 0, 0 = x + 5*l - 4*l + 2. Solve x = -3*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150815.\nAnswer: 5, 7, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 0, -11, -42, -99, -188, -315, -486?\n\"Answer: -i**3 - i**2 + 13*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 124415200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/44)\/((-1)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 9. Let k = p + 9. Is k\/((-33)\/(-15) - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300979849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/25)\/(((-99)\/231)\/((-40)\/14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000008 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fef when three letters picked without replacement from eeeeeffeeff.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 1 + 0*z**2 - 5*z + 31\/2*z**4 - 2\/3*z**3. Find the third derivative of s(u) wrt u.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*b - 371*b - 1 - 528*b + 189*b to the form c + g*b and give g.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = 60*f - 125424. Calculate the greatest common factor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 21. Let f be z(-4). Let p = f + 25. Let h be (-76)\/2*(-2)\/p*2. Calculate the highest common factor of h and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 2*g - 2*v - 12, -4*v = 4*g - 16. Let u be g\/(-4)*(-1 - -1). Let z(q) = -6512*q - 91165. Let m be z(-14). Solve m*s + 2*s - 15 = u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71458091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 1\/6*t**3 - 7\/480*t**6 + 0 - 1\/60*t**5 + 7\/96*t**4 - t**2 - 13*t. Solve s(l) = 0.\nAnswer: -1, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 315, 729, 1309?\nAnswer: 2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 363 + -348. Is 1029 + z\/(-3) - -7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**2*k**3*l + 2*g**2*k*l + 2*g*k**3*l + 4*g*k**2*l + 8*g*l + 15*k**3 wrt k?\nAnswer: 30*g**2*l + 12*g*l + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 + s**3 - s + 1\/2.\nAnswer: -(s - 1)**3*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9))**(-35)\/(p**(2\/3)\/(p*p**4*p)))\/((p**1)**(-34)\/(p*p**(-7)\/p*p*p*p**(-5))) assuming p is positive.\nAnswer: p**(334\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2. Let p(w) = -2*w**2. Let h(x) = 3*f(x) - 7*p(x). Let v(j) = 3*j. Give v(h(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*y**2 + 15*y**2 + 3931 - 3930 + (2*y - 2 + 2)*(-5*y + 2*y + y).\nAnswer: 85*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5297*z**5 - 212*z**2 - 16707474*z wrt z.\nAnswer: -105940*z**3 - 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -479 - -135. Let x be ((-628)\/a)\/(2 + (-34)\/3). Let h = x + 3\/3784. Calculate the common denominator of h and -10.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213 + 5?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let l(d) be the second derivative of 2*d**3\/3 + d**2\/2 - 23*d. Let g be l(z). Is g less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 88. Solve 5*v - 3*m = -2*m - 15, -5 = 5*v - q*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9052 + -5991. List the prime factors of j.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14050018?\nAnswer: 2, 73, 96233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 + -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uboubbbouodudbubbo. Give prob of sequence bdd.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3332 is divided by 3219?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*q = 2, 0 = 4*v - 11*q + 12*q - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -111151*q**2. Let i(j) = -947*j**2. Determine h(i(g)).\nAnswer: -99681217159*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3 + 3)*(-2*h**3 - 1 + 1) + (-4 + 1 + 1)*(-11*h**4 + 28*h**4 - 103*h**4) - 4*h**4 + 2*h**4 + h**4.\nAnswer: 175*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -1087, -3378, -7863, -15274, -26343?\nAnswer: -41802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15269*q**3 + 14393*q**3 + 73*q**2 + 64*q**2 + 70*q**2 - 207*q**2.\nAnswer: -876*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -361*h - 17966. Let z be n(-50). What is the highest common divisor of z and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14191 + 146*v - 14191)*(18 - 6 - 10)*(-2 + 2 + v)*(3*v**2 + 3*v**2 - v**2) to the form w + y*v**3 + z*v + s*v**2 + d*v**4 and give d.\nAnswer: 1460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304\/(-4104)*(-2)\/((-2)\/(-3))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + (-42 + -5 + 36 - (-2 - (-2 - -4))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-9))\/((16\/(-2))\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 4*q - 5*q + (9 - 3 + 1)*(51*q - 171*q - 198*q))*(1 + 0 - 2 + (-3 + 1 + 1)*(6 - 3 - 1) - 3 + 3 - 2).\nAnswer: 11120*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100455, 201029, 301603, 402177, 502751, 603325?\n\"Answer: 100574*u - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:03 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Suppose -c = -u*c. Suppose c = -l - 4*y + y - 5, l = 4*y + 23. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -5 - 9. Suppose -5*m - t*i + 2645 = -5*i, -m + 529 = -i. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ed26 (base 15) to base 3\nAnswer: 2112212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 16384\/3*v + 0 + 128\/3*v**4 + 512*v**3 + 8192\/3*v**2 + 4\/3*v**5 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-8)*(-32)\/(-80)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/18*8\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4621339833 minus 3?\nAnswer: -9.4621339833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(91) - (sqrt(91) - sqrt(91)*-1)*5)*2*6)\/(sqrt(343)*-2*-2 + sqrt(343) - (6*2*sqrt(343) - sqrt(343))))**2.\nAnswer: -8424\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-158)\/316)\/((-14)\/(-4) - 1). What is the closest to -4 in 0.2, f, 1\/4, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4237, 1 in decreasing order.\nAnswer: 1, -2, -4237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/3 - 127*n**4\/3 - 129*n**3 - 389*n**2\/3 - 130*n\/3.\nAnswer: n*(n - 130)*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4878610317.\nAnswer: 3, 7, 1117, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15*(2 - 8\/3). Let c(u) be the second derivative of -u**3\/6 + 2*u**2 + u. What are the prime factors of c(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)\/((-1)\/2). Suppose 10 = 4*s - 6. Suppose -l + s*b = w*b - 4, -5*l = -5*b - 10. Solve l = -3*k - 10 + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11690.5 times -0.117?\nAnswer: -1367.7885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*o**4 + 0 + 0*o + 0*o**2 + 4\/9*o**3.\nAnswer: -2*o**3*(o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682975651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let b(x) = -x**2 - 2*x + 2. Let a be -1 - ((-4 - -9) + -4). Let t(w) = a*o(w) - b(w). Let s(i) = 3*i**2 - 8*i. What is s(t(p))?\nAnswer: 3*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*p**2 + 7*p**3 + 0*p**3 - 48*p**2 - 7*p - 8*p to the form j*p + b*p**2 + m*p**3 + t and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -256. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341100 rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(77))\/sqrt(7) - sqrt(275)*-1)**2 + (1 + sqrt(396))*3 + 0.\nAnswer: -1581 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79027 divided by -11.\nAnswer: -79027\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -112321?\nAnswer: -112332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*i)*((-4 + 5 - 3)*(1 - 2 + 0) + 0 - 5 + 2)*(-37*i - 15*i - 69*i).\nAnswer: 242*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/11184 and 13\/29358.\nAnswer: 234864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + r**2 + 59 + 7 + 44*r**3 + 0.\nAnswer: 44*r**3 + r**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 j when four letters picked without replacement from {f: 2, j: 3, c: 4, t: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*k + 2*y + 10, 0 = -3*k - 5*y + 14. Let t = k - 5. Suppose -5*u = -29 + 29. Put -4, u, t in decreasing order.\nAnswer: u, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - k**2)*(-385*k**2 - 393*k**2 + 789*k**2 + 25*k) to the form x*k**2 + p + y*k**3 + w*k + g*k**4 and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/(c\/((c*c*c**(-13\/6)*c)\/c)))\/(c**(-41)*c**(-42)) assuming c is positive.\nAnswer: c**(437\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = 2*d - 1, 0 = -4*d. Let a(g) = 64*g + 65. Let t be a(-1). Sort r, t, -1, -37 in ascending order.\nAnswer: -37, -1, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5771057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(6*(-2)\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 3*b - b + (-5*b + 3*b + 0*b)*(0 + 1 - 2) + 1 - 1 + b + (15*b - 4*b + 0*b)*(-4 + 3 + 2).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 22*s + 12 = -17*s, 2*y + 4*s - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 233.2 + -235.2. What is the closest to -7 in 4, y, -5, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -116*x + 11406. Let a be n(100). Do -214 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -110 - 75. Let z = -41 - v. Let f be (-13250)\/((3\/(-96))\/(50\/z)). What is f rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -44. What is the remainder when 68 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 1. Suppose 0 = -4*v + 3*b + a, v + 3*b = -2*v + 3. Find the second derivative of 3*l - 4*l**3 - v*l + l**3 + l wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*f**2 - 149403*f - 117414.\nAnswer: 3*(f - 3558)*(14*f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1985532 divided by -29199.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Let r = -131 + 76. Let b = -55.06 - r. Put 4, t, b in ascending order.\nAnswer: b, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + 8*y)*((-1 + 4 - 4)*(-2 + 2 - y) + 3*y - y - 8*y).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g - 1 - 294*g - 354*g.\nAnswer: -735*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640) - (sqrt(8640) + -2*sqrt(8640))*-2)\/(-6*(3*sqrt(768) - sqrt(768)))*1.\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + v**2 + v + 1. Let s(l) = 2*l**2 - 7*l - 2. Let j be s(6). Let x = 30 - j. Suppose x*b + 1 = -1. Determine z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114\/355 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.087 - 8.013. Let j = a + 8. Let i = 0.11 + j. Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 13) to base 8\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026428 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-160)\/(-72) + 2\/(-9). Suppose 0*q - 32 = b*q. Is (-9)\/(-12)*(-4 - q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4\/189, -7.\nAnswer: -7, -0.1, 4\/189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2033766 - -4.2. What is f rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7893047 to the nearest integer?\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 + 32*s**2 + 12*s + 43. What is the hundreds digit of r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 30 = 12*p. Sort 1, 5, p, 7.\nAnswer: 1, p, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.07, -1\/4, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*d - 32. Let m be ((-8)\/6)\/(4\/d). What is the remainder when 31 is divided by -22*m\/(-8)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22061*j**2 + 4*j**4 + 3*j**3 + 22061*j**2 + 3*j in the form n*j**3 + a*j + c + d*j**4 + w*j**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o - 480 = 0. What is the units digit of (o - 4)\/(-2) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 4:39 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19601 is divided by 6533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - -112 - ((-39 - -24) + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -308268?\nAnswer: -308267.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 57 + 3*h + 39.\nAnswer: 3*h + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18959737 and 4.\nAnswer: -18959733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0.4 (c) 4 (d) 19863.92 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 5*u - 4531 = 0, 0*t = -5*t + 6*t + 2*u - 7*u - 91 for t.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -43. Let r(h) = 20*h**2 + 14*h + 11. Let b = -41 + 63. Let m(u) = 4 + 21*u + b*u - 38*u + 7*u**2. Calculate f*m(g) - 4*r(g).\nAnswer: -3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:08 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2. Let t(k) = -8*k**2. Let o(s) = -4*j(s) - 3*t(s). Let w(m) = -6*m - 8. Let f(r) = 2*r + 2. Let u(y) = -4*f(y) - w(y). What is o(u(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 33) + (-50 - -25) + -5 + -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 110037488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 23691840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47095 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43088.1 and 0.07.\nAnswer: 3016.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 494396858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0598 and -3453637.\nAnswer: -206527.4926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-2.1.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12015356 (base 7) in base 14?\nAnswer: 1d962d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1704 + -236530?\nAnswer: -238234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 128*p + 2370.\nAnswer: -2*(p - 79)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*l**2 - 77*l**2 + 32*l**2 + 2*l.\nAnswer: -10*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/4, -2, -4888 in decreasing order.\nAnswer: 6, -1\/4, -2, -4888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1355*k**2*m**2*o - 4*k**2*m**2 - 2*k**2 + k*m**2*r - k*m**2 - 2*k*m + 4077*m**2*r - m**2 - 14660*m*o*r with respect to o.\nAnswer: 1355*k**2*m**2 - 14660*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 23*s - 693. Calculate the remainder when s is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1910 times -0.1\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.038 - 0.562. Let g = 83.83 + -80.83. Which is the biggest value? (a) q (b) g (c) -4\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Suppose 0 = l*m + 5*d - 29, 0 = -m + 2*m - 5*d - 23. Let z = m - 7. 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: Let t = 2 + -2. Suppose -8 = 2*m - t*m. What is the units digit of 0 - (1 - m)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 45 (c) -0.25 (d) -295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153060160 and 121?\nAnswer: 153060160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3292 - -49378\/15. Which is the second biggest value? (a) 7 (b) n (c) 0.13 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k. Let c(b) = -3*b - 492 + 491 + 2*b. Let y(a) = -2*a - 1. Let o(f) = 5*c(f) - 5*y(f). Determine i(o(s)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13490 is divided by 6742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(-2*sqrt(9)*3))\/(1*sqrt(10)\/(sqrt(30)\/sqrt(6))).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(2\/5)*s*s\/((s*s**(-3\/2)\/s)\/s))**(-28)*((s*s**(-8)*s)\/(s**(1\/10)*s))**(-8\/5) assuming s is positive.\nAnswer: s**(-3986\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124\/8*(16 + 0). What is the tens digit of t\/12 + (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.755 - -0.075. Let r = f - 26. Is -0.1 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 126 = -0*x. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3939\nAnswer: -1\/3939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u + 20. Suppose 0 = -5*g - 4*f + 468, -u*g + 2*f = -2*f - 492. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 4*y - 3. Let x be g(-4). Let v(t) = -t**3 + 2*t**2 + 5*t - 2. Let o(w) = w**3 - w**2 - 5*w + 1. Let b(i) = 4*o(i) + 3*v(i). Determine b(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - -5. What is the smallest common multiple of (6 + (-225)\/a)\/((-9)\/24) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1222*a + 56. Let l be t(5). Let k = 2031 + l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*(-2)\/16 + 4\/16. Let w be 0 - -1 - 0\/(-10). Which is the closest to -9? (a) i (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/28 and (-714)\/245*(-15)\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6100000 to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110001110110000 (base 2) to base 11.\nAnswer: 3a87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**2. Let i(q) = 93*q. Calculate i(t(g)).\nAnswer: 744*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272894 is divided by 1074?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r**2 + 3 - r + 57*r**2 + 3*r + 0*r wrt r?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030142539 rounded to 5 dps?\nAnswer: -0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16192 + 3927 = -60*i - 589*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 7) to base 15.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = -4 + 124. Factor 2*v**2 - 13*v**3 + v**3 - 4*v**d + 2*v**2 + 141*v**4 - 156*v**4.\nAnswer: -v**2*(v + 2)**2*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 22*o + 20*o - 29 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 20 = 3*g, -5*g = -o - 24. Let n(y) = -3*y - 3. Determine n(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246855*h**3 - 4*h*v + 104*v + 557 wrt h?\nAnswer: 740565*h**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/r)\/(r**(-5)*r))\/(((r*r**(-1\/5))\/r)\/(r\/r**(-5\/3)))*(r*r**(-1\/2)\/r*r**(2\/7)\/r)\/(r\/r**(2\/3))**(3\/11) assuming r is positive.\nAnswer: r**(-3323\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 2703.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-650)\/(-7540))\/(95\/76)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 1028902.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5184 + 5184 + 3250*k as l*k + a and give l.\nAnswer: 3250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/19529 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ihiihyhnnrhihhhhnh.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 1\/3 (c) -897 (d) -0.1 (e) 2\/19 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -2437001996.76711.\nAnswer: -2437001996.36711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 1\/20*j**4 + 0*j**3 + 0*j + 4 + 0*j**2. Determine n so that g(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/8, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45071 is divided by 45068.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/390)\/((-2)\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(500) + 1)**2 - sqrt(500) - (-4*(sqrt(500)*2 - sqrt(500)))**2).\nAnswer: -3499 - 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.2. Let r be 4\/(-54) - (7 + -9 + (-10575)\/(-4860)). Let t = -1 - -1.2. What is the nearest to r in t, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -237\/19 (b) -2\/13 (c) 1\/2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdmnmql. Give prob of picking 1 d and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b - 1. Let i be k(3). Suppose i*j - 11 = 39. Suppose -d - d = -j. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038358439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 112. Suppose 22 = 2*o - m. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 104, -0.4, 0.1, 1, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 84?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18\/779, 17, 1, -27, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1256 by -4.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 1. Let b be o(-2). Let j be (-8 - -4)\/(5 - 6). Suppose 4*c + 39 - 23 = 2*f, 0 = -5*f + j*c + 34. What is the highest common factor of f and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by (-3 + 20\/8)*(-70 + 8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 3*r + 1. Let o be p(-2). Let i(f) = -3*f**2 + 11914*f - 11923*f + 4*f**2 - 2 - 2*f**2. What is i(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 2375\nAnswer: 12\/2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8244, 16417, 24524, 32565?\nAnswer: 40540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 11\/(11\/14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-55))\/((-243)\/(-891)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 1057 - 1094 = 4*a, 4 = -a for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 4*z**2 + z - 9. What is the first derivative of g(h) wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 + 243 - 243.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 3, 4\/19, 0.2, -0.1 in increasing order.\nAnswer: -0.1, 1\/6, 0.2, 4\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 + p**3 - p**3 + 0 + p**5 + 0 + (6 - 6 - 2*p)*(p**4 - 2*p**4 + 8*p**4) + (-p**3 - 4 + 4)*(3*p**2 + 2 - 2) + 2*p**5 - p**5 - 2*p**5.\nAnswer: -21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3 + 1 - j + (4 - 2 + 0)*(j - 5*j + 2*j) - 13*j + 12*j - 20*j.\nAnswer: -26*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(2448))**2*-2 - (6*(sqrt(119) - sqrt(119)*2))\/(1*sqrt(63) - sqrt(7)).\nAnswer: -4928 - 189*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d - 20. Suppose d*l - 39 = 13. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 93585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 20 - 25. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 16 - 7*u - 65*u + 40 + 2*u**4 - 8 + 2*u**2 to r + g*u**3 + p*u + z*u**2 + f*u**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-122)\/((-107)\/((-4708)\/(-88)))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1 - (-360)\/11). Let z = -11\/1702 - -2475071\/56166. Let j = z + u. What is the common denominator of j and 47\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-56 - (23 - 46))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.5. Let p = 0.1 - -1.1. Let h = f + p. Put -2, h, 2\/7 in decreasing order.\nAnswer: h, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762323242 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283302521*i**3*s**3 + 3*i**3*s + i**3 + 2*i**2*s**2 + 7*i**2 + 2*i*s - 103176*s wrt s?\nAnswer: 1699815126*i**3*s + 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awf when three letters picked without replacement from {a: 1, w: 9, f: 1, e: 7}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 4673215*n - 9346539*n + 4673324*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Let m(x) = x**3 - x**2 + x + 6. Let i(k) = k**3 - 2*k**2 + 6. Let w(o) = -3*i(o) + 2*m(o). What is the units digit of w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13986)\/(-148))\/(-189))\/(1\/86)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 84?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*29\/((-3857)\/(-570))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 - (20 - 22) - -34 - (1 - 16)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228 a factor of 31463316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -10) + -25 + 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*z, -q - 4*z = -z - 24. Let b be 4\/3*9\/q. Let w be ((-1)\/b)\/(-1 + 0). Which is bigger: -2\/43 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -1304, -0.3, 34?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/5 and 1 - 46\/(-28) - (-3)\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2162072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1101000011?\nAnswer: 1101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*938\/(-201)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l - v, 2*l - 4 = -0*v + 4*v. Suppose -l*d + 0 = -10. Suppose -13 = -6*i + d*i. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183271344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 10 - (0 + 4 + -26 + 23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 4*g + 13. Determine t(-12).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329*v**4 + 215*v**2 wrt v?\nAnswer: -7896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (5 - -1) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9769?\nAnswer: 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.069*-1038651\nAnswer: -71666.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 3. Let g be p(-5). Let c = g + -9. Sort -2\/3, -2\/5, c in decreasing order.\nAnswer: -2\/5, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -207*d**6 - 320*d**6 - 18*d**3 + 525*d**6 + 678*d**2 wrt d.\nAnswer: -240*d**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:22 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -826, -1859, -3314, -5197, -7514, -10271?\nAnswer: -13474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (5\/3 + -2) - (-31)\/(297414\/6630)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/((-665)\/(-399)*(-12)\/(-160)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25275\/7 or -3611?\nAnswer: -3611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1411271 divided by 15\nAnswer: 1411271\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**3*o**(-3\/8)*o*((o\/(o\/o**(1\/3))*o)\/o)\/(o**4*o)*((o*o**(-1\/6))\/o**(4\/7))**34 assuming o is positive.\nAnswer: o**(649\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1679*j**2 + 104*j + 7 wrt j.\nAnswer: -3358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -242\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j - 3*o = -390, -2*o - 9 = 7*j + 5*j - 5*j + 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/360 - p**3\/6 - 4*p**2. Let b(t) be the first derivative of l(t). Let q(v) = -4*v. Calculate q(b(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -14, -2, 3\/2 in increasing order.\nAnswer: -14, -6, -2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Let y = m + -4.4. What is the biggest value in 3\/7, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and 12506893.\nAnswer: 12506892.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gheyigxxhhghyxye. Give prob of sequence hyxh.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-12)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 23252276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87170722?\nAnswer: 2, 43585361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -136373, -280282, -424191, -568100, -712009, -855918?\n\"Answer: -143909*i + 7536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/9)\/((-8)\/(-792)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 695758.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (126 - 128) - (-15 + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 52 = -5*l, -3*l + 5*h + 38 = 0. Suppose 3*n - 2*t = 1 + 19, 2*n + t - l = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -89, -74, -59, -44?\n\"Answer: 15*f - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 244254.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-375)\/5)\/5 - -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21864\/(-22) + (4 - (-92)\/(-22)). Let d = 1275 - b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*5)\/(-2) - (-84)\/(-16). Let j = 0 + -5. What is the closest to b in 1, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iakaqaeeaekekq. Give prob of picking 1 i and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 24. Let b = 8 + k. Suppose -4*l + 5 = -5*y, 4*y + 5*l = 33 + 4. Put b, y, -3 in decreasing order.\nAnswer: y, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6181 is divided by 1231.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2523b5 (base 13) in base 9?\nAnswer: -1606407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 2. Let q(w) = -2*w - 3. Let k(c) = 5*o(c) - 2*q(c). Let i be 16\/(-12) - (-44)\/(-12). Give k(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0229 plus 0.3?\nAnswer: 0.2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1475 - 130 = 264*z + 5*z. Solve 0 = 7*b - z*b - 2, 0 = 3*a - b - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 11*c + 17. Let v be m(9). Let k(f) = -4*f**3 + f**2 - 10. Let r(b) = b**3 + b**2 + 1. Let x(q) = v*k(q) - 5*r(q). Give x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -l - 3*x + 10, 6*l + x + 6 = -0*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -140.5. Which is the biggest value? (a) t (b) -0.8 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + o**2 + o. Suppose -5*n + 17 = 4*y - 1, 3*y + 4*n - 14 = 0. Let g(r) = -2*r + 2*r + 3*r**y. What is g(l(k))?\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8))\/(55\/(-220)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -1251)*(-3840)\/(-4). Round s to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*(-20)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -31, 1\/6, 1 in decreasing order.\nAnswer: 1, 1\/6, -2\/13, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 13. Let t = x + -18.7. Let f = t + 2. Which is the second biggest value? (a) -2\/11 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + -5)**2 + (sqrt(24)\/sqrt(3))\/sqrt(4).\nAnswer: -9*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45909085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 116*x**3 + 2*x**2 - 1. Suppose 0*p = -4*p + 4. Suppose 4*c - p - 3 = 0. Let a be o(c). What is the greatest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 2. Suppose r - u = 0, 5*r - 5*u + 8*u - 40 = 0. Suppose r*q - 12*l = -14*l + 30, -23 = -q + 3*l. What is t(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 m when four letters picked without replacement from mmyfyymyyyyfyfyypm.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -65252 (base 12) to base 3\nAnswer: -20202222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 568 + 568 - 8*a. Let n be z(7). Round n to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5359 (b) 0.2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 90*c**2 + 91*c + 76. Give k(44).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 11*y + 42. Give u(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 79. What is c(-13)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958031 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 3*q + 1 in the form n*q + p and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 6)*(-31*v + 49*v + 54*v).\nAnswer: -288*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103.9 + 104. Let v = 379 - 6441\/17. Which is the third biggest value? (a) v (b) n (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 11*t - 13. Let o be a(-10). Let x = 2905 + -2884. Calculate the greatest common divisor of o and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 28*t**2 + 3*t - 42. Give u(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -577 or -515?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2619149816?\nAnswer: 2, 367, 691, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y**(4\/9)*y)*y*y*y**(3\/2)*(y*y\/(y*y**1))**(-8) assuming y is positive.\nAnswer: y**(73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-2))\/((-7)\/((-105)\/(-6))). What is the greatest common divisor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 2 = -9*y. Let o(m) = -6*m. Let z(k) = k. Suppose -u + 2 = -20. Let f(d) = 10*d. Let a(q) = u*z(q) - 2*f(q). Give y*o(b) + 7*a(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68)\/(sqrt(48)\/((sqrt(300) + sqrt(12) - sqrt(12)) + sqrt(12))) + 3)**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m**3 - m**2 + 2*m. Let j be h(1). Let k be 7 + 1*(-140)\/j. Sort 0, -0.1, 6\/11, k in decreasing order.\nAnswer: 6\/11, k, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -578605157*u**3 - 3*u**2 - 61566819*u wrt u?\nAnswer: -3471630942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 0. Let k be (3\/(-5))\/(h\/(-25)). Let t be -2*(-2 + 15\/k). Solve 0*p + t = 3*p - 5*g, -g = 4*p + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 30*k**2 + 100*k.\nAnswer: 2*k*(k + 5)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (40 + -28 - (5 - 7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110100011011111 (base 2) to base 14.\nAnswer: -69539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24744*u**5 - 2*u + 18145?\nAnswer: -494880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -735926 (base 13) in base 5?\nAnswer: -1142303042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ccccqqyyqccq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + j - 2*j = 109, -5*j + 5 = 0. Let p = l - 18. Find the third derivative of 5*y**4 - 3*y**2 - y**p + 11*y**2 - 2*y**4 wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41, 24, -9, -64, -147, -264, -421?\n\"Answer: -u**3 - 2*u**2 - 4*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 23*k = -3*m + 117, -5*m + 4*k = -159. Let j(l) = 2*l**2 + 4*l - 1. Let g be j(-3). What is the highest common factor of g and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 61.9804. Let m = f - 79.4196. Let j = m + 96. Round j to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.93 - -6. Let z = g + 0.43. Let r = z + -0.1. What is the second biggest value in r, 0, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 64 = -2*q, 3*p = -3*q + q - 152. Let w = -74453\/5655 - 3\/3770. Calculate the common denominator of (-453)\/2*(-6)\/p and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:58 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y + 15. Suppose 8 = -3*m - 1. Let d(p) = -p + 1. Suppose t = 28 + 17. Let k(w) = m*n(w) + t*d(w). Calculate k(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -0.2762\nAnswer: -4.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 + 2d9?\nAnswer: 2c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48120 divided by -6015?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1010\/(-28785)*152\/216\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 112 - 240 = 0. Calculate the greatest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -347*x**3 - 342*x**3 - 21*x - 14 + 5*x**2 + 690*x**3 + 12*x. Give s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 78\/11 (b) 27246 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57944 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqp when three letters picked without replacement from pppqpppppqpqppp?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 + 79 = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006706179 to five dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2501710706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192624.22999977 + 192623.88. Let u = 0.35 + a. What is u rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*d - 2 = -7, -4 = -3*f + 2*d. What is the closest to f in -3, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 9*t**2 + 1\/3*t**4 + 0*t**3 - 7\/30*t**5 + 0*t + 0. Let p(n) = 5*n**2 - 3*n. Let j = -12 + 15. Determine j*x(f) + 8*p(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/179 and -31\/41170.\nAnswer: 41170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61989, 62004, 62037, 62094, 62181?\n\"Answer: x**3 + 3*x**2 - x + 61986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 127. Let i = 110 + -1212\/11. Let q(k) = k**3 + k. Let o be q(0). Which is the closest to o? (a) y (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -47, 4, -1 in decreasing order.\nAnswer: 4, -1, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(-4*z - z + 3*z) + 4 - 4 + 2*z + (2 - 2 - 2)*(71 - z - 71) to r*z + b and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111000101 + -101?\nAnswer: -1011111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 4*j**5\/15 - 21*j**4\/4 - 91*j**3\/9 + 17*j**2 + 1320. Solve z(t) = 0 for t.\nAnswer: -2, 0, 3\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/105 - 418\/(-114)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 - 27*s**2 + 69*s - 45 = 0?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 7, -1\/5, -22\/155?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 104 = -y + k, 0 = y + 2*k - 94. Let m = y - 84. Sort 4, m, -34.\nAnswer: -34, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/3 (b) 5 (c) 0.01 (d) 2 (e) 2\/5 (f) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/2 in -2, -0.4, 2\/31, -5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -659.5 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 76118, -4, -2\/9, 1.4 in ascending order.\nAnswer: -4, -3, -2\/9, 1.4, 76118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 1127705*w - 4510900.\nAnswer: 5*(w - 4)*(w + 225545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**8\/210 + x**5\/6 + 3*x**3 + 4*x. Let i(k) be the second derivative of t(k). What is the second derivative of i(h) wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from qmmfbbcq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 40*h + 22 = z, -z + h + 6 = 0. Let f(n) = 5*n + 4. Let x be f(-2). Sort -26, x, z.\nAnswer: -26, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = s - 337, 4*x + 26*s - 340 = 22*s. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 576523300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (54\/4)\/(15\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*v - 17, 44*v + 2*y + 26 = 49*v. Sort -3, -5, -1, v in increasing order.\nAnswer: -5, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 - -179. What is the greatest common factor of 144 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 648*q - 642*q. What is the closest to 1\/3 in q, -0.4, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181376, 181374, 181372, 181370, 181368?\nAnswer: 181366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157*-18121.\nAnswer: 2844997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -672072*i. Let k(u) = -15*u**2. Calculate x(k(z)).\nAnswer: 10081080*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34229 and 6353429.\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/17 + 2056*u**3\/17 + 4122*u**2\/17 - 2056*u\/17 - 4120\/17 = 0 for u.\nAnswer: -2, -1, 1, 1030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 396293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/8*q**4 + 0*q + 0 + 0*q**3 - 6*q**2. Let o(v) = v. Calculate o(w(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8362740 + -5530242. Suppose 5*j - d = r, d + 566492 = j - 3*d. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 33*o**5\/5 + 181*o**2\/2 + 3*o. Differentiate r(a) with respect to a.\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 755367 + 3?\nAnswer: 755372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1681139 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmm when three letters picked without replacement from {l: 5, m: 6, y: 6, b: 1}.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f - 5*s + 25, -17 = -3*f - 5*s. Sort f, 3, -2, -4 in descending order.\nAnswer: f, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 47. Let r be (5 + -14)\/(1\/m). Let f = -103 - r. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 21. Let a(u) be the second derivative of u**3\/2 + 43*u**2\/2 - 1673*u - 3. What is -4*a(z) - 7*n(z)?\nAnswer: 2*z - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 6. Let g(w) = 2*w - 11. Let o(s) = 5*s - 46. Let h be o(8). Let q(r) = h*g(r) - 11*i(r). Give q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 71643.\nAnswer: 2077647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -2*f + 2*i, 41 - 61 = -5*i. What is the greatest common factor of f and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4628301 and 59\/11174.\nAnswer: 342494274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -2511, -8540, -20291, -39672, -68591, -108956?\nAnswer: -162675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6759 + -4023. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 0.02 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**3 - 4614*m**2 + 26*m - 19995. What is d(769)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (3 - 2) - -3) + (-26 + 74 - 45).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 18*z + 1.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 13. Calculate the remainder when 57 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/12 - 177215*d**4\/12 - 177213*d**3\/4 - 531637*d**2\/12 - 44303*d\/3.\nAnswer: -d*(d + 1)**3*(d + 177212)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 47. Let t(d) = 2*d - 31. Let i(s) = 5*j(s) - 8*t(s). Let a be i(15). Sort 0, a, 6 in descending order.\nAnswer: 6, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 + h**2)*(-2*h + 7*h - 2*h) + (-3*h**3 - h - h**3 + 6*h**3)*(-4 + 3 + 6).\nAnswer: 16*h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*y + 5 = 0, -5*y - 15 - 20 = -5*i. What is the lowest common multiple of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 5. Suppose 0 = o - r*l + 2, 4*l - 32 = -4*o - o. Suppose -o = k, 0*q + 32 = q - 2*k. 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: Which is greater: -62897269 or -62897264?\nAnswer: -62897264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = -0*y. Let a(q) = -q - 3. Let o be a(y). Solve 5*n - 14 = -o*w, 20 = 2*n - 5*w - 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/12 and 133\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcxscssfhhxfsxfxscfx. Give prob of sequence fhch.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/50252, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/84 - 2*n**5\/35 - 11*n**4\/84 + 2*n**3\/7 + 2*n**2 + n. Suppose j(d) = 0. Calculate d.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 79*l\/5 - 16.\nAnswer: (l - 80)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483697 is divided by 80603?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27782467, -27782468, -27782471, -27782476, -27782483, -27782492?\nAnswer: -27782503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 59.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) 20.6 (c) -0.3 (d) -1\/14 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 13*f + 22*f - 49 + 16*f + 58.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-115 - -121) + (-274)\/2*-1. Calculate the highest common divisor of 65 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566590 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535480875\/3625 - (-4)\/58 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000502869 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107 - 194 + 166)*(d**2 - d + d) to o*d**2 + k + a*d and give o.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 7:10 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = 3*b + 3*m, -3*b = m + 53 + 108. Let t = -31 - b. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 514 - 517. Sort 4, d, 0, -2 in decreasing order.\nAnswer: 4, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 11172865.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -100, -1.9, 0.2, 2163?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**4 - 6*k**2. Let d(h) = -717*h**4 + 806*h**2 - h. Let n(y) = d(y) + 5*s(y). Find the third derivative of n(j) wrt j.\nAnswer: -17328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, r: 10}. Give prob of picking 2 x and 1 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*l)*(300*l**4 + 8 + 16 - 302*l**4).\nAnswer: 4*l**5 - 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 23*p + 7*b - 18, -5*p + 6 = -3*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6529689.999849 - 6529671. Let t = -19 + y. What is t rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8804553.\nAnswer: 3, 683, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 816\/1940 + 362\/(-17557). Factor 36\/5*a**2 + 24*a + m*a**3 - 80.\nAnswer: 2*(a - 2)*(a + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-24)*24\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 0*b - 3\/4*b**4 + b**3 - 2 + 0*b**2. What is the third derivative of r(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 13 = 4*h, 5*h - 3*y - 5 - 2 = 0. Suppose 5*x + 0*u + 4*u - 27 = 0, -5*u = -3*x - 6. Solve x = g + h*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(18)\/(sqrt(36)\/sqrt(6)) + -5 - (sqrt(27) - (sqrt(2700)*-1 - sqrt(27)))\/((sqrt(63)*-2)\/sqrt(7)).\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.1 (b) 2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0 + 8, 3*a + 5*l - 4 = 0. Let s = -12 + 19. Let n = s - a. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1548 - 38*t + 1548 + 0*t - 2*t - 4*t + 3*t + 0*t - 2*t + (0 + 4 - 3)*(3*t - 3*t + 2*t))*(-2*t**3 - 4*t + 4*t).\nAnswer: 82*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -44. What is the smallest common multiple of r and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-8) - (-1)\/4. Let u(a) = 2*a + 3. Suppose 1 + 5 = 2*t. Calculate the lowest common multiple of u(n) and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 14*t**3 - 2*t**2 - t + 1207. Let z(o) = -o. Determine d(z(p)).\nAnswer: 42*p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/14 - 62016\/(-119). Let v = -428 + u. What is the remainder when 180 is divided by v?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 49. Suppose -162 = u*a - 31*a. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 20.675.\nAnswer: 16.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-91)\/((-20930)\/276))\/((-15)\/(-1))*-30)\/10?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17*169301\nAnswer: -2878117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6138482, -6138514, -6138546, -6138578?\n\"Answer: -32*s - 6138450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmsauuwusauumumwmsm. What is prob of picking 1 w and 1 m?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -548 - -823. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/6 - 343*l\/3 - 117649\/6 = 0 for l.\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 1\/34, 2, 0.1, 0.4?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9392 and 35761801?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 - 20*i**3 + 18*i**3 as q*i + n*i**2 + u + j*i**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(110) + (sqrt(110) - 6*(sqrt(110) - ((sqrt(110) - sqrt(110)*-1) + sqrt(110)))))\/sqrt(10).\nAnswer: -3 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3336, -13232, -29534, -52086, -80732, -115316?\n\"Answer: 26*x**3 - 3359*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165186 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 201*p**5\/10 + 247*p**4\/6 - 137*p + 1. What is the third derivative of y(o) wrt o?\nAnswer: 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 2*d + 11*d + d as y*d + t and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -9 - (2 + -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 308129*c*j**3*o - 2*c*j**3 + 2*c*j**2*o*p - 737*c*j**2*p - 9*c*o + 3*j**3*o*p + 2*o*p wrt j.\nAnswer: 1848774*c*o - 12*c + 18*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057579672 rounded to 5 decimal places?\nAnswer: 0.00576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4200710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 64, 69, 74, 79?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6, 4 in ascending order.\nAnswer: -9, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(1\/10))\/p)\/p**(-2\/19))\/(p**(-2\/5)*p**(2\/7)*p) assuming p is positive.\nAnswer: p**(-1171\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**2 + 5*d + 1. Suppose 3*w = -3*z + 24 + 6, -5*z + 40 = 3*w. Suppose z*c - c = 20. Determine s(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1669, 33505 in ascending order.\nAnswer: -1669, 7, 33505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-209) + (-6)\/(570\/(-275)). Let m be (-2 + 0)*(-68)\/(-8). Let y be m\/(-5) - 4\/10. Solve s*z - 2 = 3*l + 4, -2*l - 14 = y*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g**2 + 1846*g + 2170 = 0 for g.\nAnswer: -7\/6, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49262001.\nAnswer: 3, 71, 231277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -558 + 528 - ((0 - 1) + -3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjgnnkb. Give prob of sequence nk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628.06 nanograms in kilograms?\nAnswer: 0.00000000362806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4815 + 9*f - f**2 - 9603 + 4803. Give i(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-828))\/((-4)\/16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -20. Let p(l) = 3*l**2 - 8*l - 10. Calculate the remainder when p(5) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8*5)\/((-60)\/1110) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 - 7*u**3 + 7 - 6*u**3 - 7.\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-7) + 2025\/21. Solve -92 + b + 2*h - 3*h**3 - 4*h**2 + h**3 = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 50*(-3 - -52) - (0 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 154*r + 117. Let t be i(-3). Which is smaller: t or -346?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**4\/9 + 21893*f**3\/9 - 8343091*f**2\/9 + 6239527*f\/9 + 693889\/3 = 0.\nAnswer: -5831, -1\/4, 1, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 6*n - 160. Let y be h(-16). Solve y = 2*x + 5*g - 26, 1 = -g + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8)*(0 + -6). Let n(s) = -s**3 - 9*s**2 - 11. What is the remainder when n(-10) is divided by (-66)\/m + (-1)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - a = -17, -7*w + 2*w = 4*a - 47. Let s be (-1 - 2\/(-6))*-12. Which is greater: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2 - 14. Let k be ((-27)\/(-6))\/((-6)\/g). Let s be (10\/3)\/((-1)\/k). What is the highest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.8 (b) -2\/9 (c) 390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2274 = 3*f, 1521 = 2*g - f + 4*f. Is 21\/49 - g\/(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 56*a**2 - 42. Suppose 0 = -b - 3*h - 16, -24*b + 22*b = 3*h + 17. Let l(t) = -t**2 + 1. Give b*z(p) - 42*l(p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**8\/3360 - p**7\/1260 + p**6\/180 - 5*p**4\/3 + 19*p. Let g(s) be the third derivative of f(s). Suppose g(k) = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1688, 608, -462, -1516, -2548, -3552, -4522, -5452?\n\"Answer: u**3 - u**2 - 1084*u + 2772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001060171 rounded to 6 decimal places?\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 55\/3, 17, -17, -0.5 in ascending order.\nAnswer: -17, -0.5, 17, 55\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103456*n**2 - 38956*n + 60 = 0. What is n?\nAnswer: 5\/3233, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 3759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3. Let o be p(1). Let j(r) = r**2 - r - 1. Let l(z) = -4*z**2 + 3*z + 3. Let k(t) = o*l(t) + 3*j(t). Let y(i) = 42*i**2. What is y(k(n))?\nAnswer: 42*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - q - 57 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/39, -0.3, 46, -60.971?\nAnswer: -60.971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.44963 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85008 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23155 is divided by 61.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 185?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -22*r + 290. Let v(u) = 14*u - 193. Give 5*k(t) + 8*v(t).\nAnswer: 2*t - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 485617?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -242*-1\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 95 = -2*t, v - 24 - 73 = -2*t. Let g be 550\/14 - 14\/t. Let h = -3 + 16. What is the highest common factor of g and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53273.9494 rounded to the nearest ten?\nAnswer: 53270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437370*a**2 - 3*a + 15*a + 437373*a**2 - 5*a - 7*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 74\/(-14) + 2\/7. Calculate the lowest common multiple of 22 and 8 + r + (-34)\/(-2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22\/17 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g**3 + 80*g**2 + 10. Let c(n) = 4*n**3 - 40*n**2 - 6. What is -4*b(z) - 7*c(z)?\nAnswer: 4*z**3 - 40*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 9*d**2 - d + 8. Give f(-7).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/110 - (-26)\/22 - 2. Put -0.1, 4, w in ascending order.\nAnswer: w, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*r - 111*r + 80 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 21651 - 21642 = 3*i, 26 = -2*u + 4*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-785)\/(-10) - 24) + (-2)\/4. Solve -36*b - n = 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1148)\/246*9\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4171320 by -347610.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 25\/2281?\nAnswer: 25\/2281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 34*i - 722. Calculate b(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020527 to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35952 - 36849. Sort -5, 5, h in increasing order.\nAnswer: h, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32844.\nAnswer: 2, 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 7, l: 3}. What is prob of picking 1 m and 1 l?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97 - 38*f**4 - 97 + (-2*f + f - f)*(2*f**3 - 3*f**3 + 3*f**3) - f**4 + f**2 - f**2 + f**4 - f**4 + 2*f**4.\nAnswer: -41*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4 - -372308003.\nAnswer: 372308000.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y + 3. Let p(h) = -11*h + 5. Let j(o) = 5*f(o) - 2*p(o). Let b(v) = 3*v - 6. Let c(x) = 5*b(x) + 6*j(x). Let i(z) = -3*z**2. Give i(c(l)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 14) to base 7\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3519*r**2 + 9*r - 10. Calculate the remainder when j(1) is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1523, 1528, 1533, 1538, 1543?\n\"Answer: 5*v + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/2 + 176*j**4 - 4323*j**3\/2 + 8163*j**2 - 9828*j = 0. What is j?\nAnswer: -364, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 4*c - 26. Let w(f) = -2*f**3 + 24*f**2 - 2*f + 30. Let r be w(12). Determine h(r).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-6 + 594\/486 + 2\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1019.8 - -1020. Which is the closest to w? (a) -29\/4 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/11)*x*x*x*x\/x**(-28))\/(x**(3\/22)*x*x*x*x**(-46)) assuming x is positive.\nAnswer: x**(1653\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 516475 divided by 1?\nAnswer: 516475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -0.2. Let h = 0.3 - z. Suppose 5*r + 2*m - 10 = 21, 8 = r + m. What is the second smallest value in -5, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51639, -95754, -139869, -183984, -228099, -272214?\nAnswer: -316329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 5. Let w be (-1)\/7 - (-92)\/y. Suppose -3*d - 273 = -6*d. Calculate the greatest common factor of w and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5) - (-93)\/(-45)*27. What is l rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1088 divided by 172.\nAnswer: 272\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -54*o**3 + 9*o**2 + 5*o + 3. Is n(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 11. Let l(b) = b**2 + 7*b - 22. Suppose -271*v + 300*v - 145 = 0. Calculate v*o(i) - 2*l(i).\nAnswer: -2*i**2 + i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 38 = -5*n. Solve n = -5*p + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 5*h - 1. Suppose -1 = 3*t - 4*n, -12 = -7*n + 4*n. Let u(k) = -6*k**2 + 9*k + 1. Give t*c(b) + 3*u(b).\nAnswer: -3*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*t + 4*c, 5*c - 53 + 10 = 3*t. List the prime factors of 8\/t*(-56 + -1 + 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.7 in 63, 4, -0.328?\nAnswer: -0.328","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*3 - (-1*sqrt(102))\/sqrt(6))**2 + (sqrt(153) + -1*((sqrt(153) - sqrt(153)*3) + sqrt(153)))**2 + -3.\nAnswer: 3482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1767 - -1772. Solve t = 2*c - 5, -z*c = -0*t + 2*t - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89343191 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13444 divided by 2?\nAnswer: -6722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0*p - p + 5*p - 1 - 5*p. Let i = 4801 + -4804. Let x(z) = -z - 1. Calculate i*d(w) + 5*x(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008612 to seven dps.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3*z - 3*z)*(2 - 4 + 6)*(20*z + 7*z + 10*z).\nAnswer: -296*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 222\/235 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 28338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721414, -721430, -721442, -721444, -721430, -721394?\nAnswer: -721330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baooba. Give prob of sequence aabb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4469.868 times 8?\nAnswer: -35758.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*b = 178, -4*r - 3*b = -7*r + 237. Suppose -6*l - k = -l - 15, -l + 5*k + 3 = 0. Suppose l*c + 0*c = r. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434223791 less than or equal to 434223791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - s - 8*f = -65 - 7, -76*s = -74*s - 3*f + 34 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5 + 308*i**2 - i**3 + 17 - 308*i**2. Let p(c) = 15*c**2. Give g(p(o)).\nAnswer: -675*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-695)\/2)\/(26\/104). Let k = o + -677. What are the prime factors of k?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -14*s**2 - 57*s - 9. Let h be c(-4). Suppose -z + 22 = z + 5*b, -4 = 4*z - 2*b. Let m(l) = 2 - 4 - 2*l + 0 + z. Give m(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 + 1 - 1 + (2 - 1 - 2)*(4 - 2*c**4 - 4) - 6031*c**4 - 7457774*c + 7457774*c to s*c + m*c**4 + l + h*c**2 + x*c**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(77)\/(sqrt(11)*3)))\/(5*sqrt(36)\/(-2*sqrt(4)))*-3.\nAnswer: 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.591665nm in meters?\nAnswer: 0.000000007591665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.9 + -7. Let j = -6.1 - w. Let o = -4 - j. Which is the nearest to 2\/5? (a) -2\/9 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y**5 - 616*y**4 - 3719*y**3 - 7724*y**2 - 6100*y - 1488 = 0. Calculate y.\nAnswer: -62, -3, -2, -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. What are the prime factors of (28\/(-8))\/(z*3\/(-108))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00170465327 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 30 = 6. Let w = v - -4. Let m = -11 - w. Solve 0 = 5*u + 22 + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -127 + 198 - 122 + 38*n**2 wrt n?\nAnswer: 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 448, 444, 424, 382, 312, 208?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 1. Let g(x) be the second derivative of x**4\/12 - 7*x**2\/2 - x. Let u(w) = g(w) - 3*z(w). Differentiate u(l) with respect to l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41762282 - -1223.\nAnswer: 1223.41762282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34784, -34783, -34782?\nAnswer: -34781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Let x(l) be the second derivative of 0 - l + 3\/20*l**5 + 1\/4*l**w + 0*l**2 + 0*l**3. What is the third derivative of x(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, r: 1, h: 2, u: 3, l: 1, v: 5}. Give prob of picking 1 d and 2 u.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.34814841 + -11.34814875. Let m = l - -7. What is m rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o + 1\/5*o**2 - 16\/5.\nAnswer: (o - 16)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*f + 9*f - 32*f)*(-3 + 5 + 0)*(2 + 4 - 5) as z*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*-2*-4)\/(sqrt(343) + sqrt(343)*2*5 - sqrt(343))*5*3.\nAnswer: 60*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.2898 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let p(i) = 8*i**2 + 40*i. Suppose -5*w = 2*c - 95, c + 2*w + 74 = 3*c. Let u(g) = c*n(g) - p(g). Let d(l) = -10*l. Calculate d(u(r)).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.3 - -14.7. Let j = 1\/412 - 837\/5356. Let p be -1*(-4)\/(-2) + 121\/55. Put p, -5, j, n in increasing order.\nAnswer: -5, j, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 419790*i**3 - 8811182205*i**2.\nAnswer: -5*i**2*(i + 41979)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -87. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2399 and -2.9.\nAnswer: -6957.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5707 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e - -6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 386562 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41474549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14901396 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10832?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6.4. Let h = -0.1 + p. Let o = -5.1 - -0.1. Put 0.1, h, o in descending order.\nAnswer: 0.1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from gvm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*l**3 - 4*l**3 - 22*l**3 - 22*l**3 - 20*l**3 - 26*l**3 - 35*l**3.\nAnswer: 50*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4188*o*p**3 + 2*o*p + 11*o + p**5 + p - 1 wrt p.\nAnswer: 25128*o*p + 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 187, 0.3, -4, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-215)\/7 - 602\/2107) + -5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(3\/(-84))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 10 - (-3 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -11.057?\nAnswer: 55.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -240313875.\nAnswer: 240313872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3128*y - 3124*y + 7 = f, 2*y - 4 = -2*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w - 78*w + 2090 = -5*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:52 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 6) in base 4?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Let n be v\/(-9) - 94\/(-18). Factor 5\/4*h**4 - 13\/4*h**3 + n*h + 2 - 3\/2*h**2.\nAnswer: (h - 2)**2*(h + 1)*(5*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + sqrt(220) + (sqrt(220) - sqrt(220)*3) - (sqrt(495) - -3*sqrt(495) - sqrt(495)))\/(sqrt(30)\/(sqrt(486)*1)*-5).\nAnswer: 81*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g**3 - 4*g**2 - 3*g + 4. Let a(w) = 29*w**3 + 7*w**2 + 6*w - 7. Let v(y) = -4*a(y) - 7*f(y). What is the second derivative of v(h) wrt h?\nAnswer: -108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 8*y + 15. Let z be p(10). Round z to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679 is divided by 141?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-747)\/1494*(2 - -26).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 3) to base 14.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 9 = -170 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -773178 divided by 42\nAnswer: -18409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d + 1\/210*d**7 + 0 - 5*d**2 - 1\/6*d**4 + 0*d**5 + 0*d**6 + 0*d**3. What is the second derivative of g(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*((d\/d**(-1))\/d)\/d*d)*d)**(-1\/24)\/((d**(-2\/15)\/d)\/((d*d**(-10))\/d)))**(-1\/17))**(-43) assuming d is positive.\nAnswer: d**(-5719\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 46.995. Round t to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -22*v**3 + 6*v**2 + 9*v + 4. What is the units digit of q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6627*m**3 + 6317*m**3 - 10315*m**3.\nAnswer: 2629*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2529 + 34*u**3 + 5062 - 2533.\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042789826.\nAnswer: 2, 13, 17, 347, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3168 equal to -3168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:25 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 14) in base 7?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, n: 5, d: 4, r: 1, x: 3}. What is prob of picking 1 f and 1 d?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 20. Let n = -0.2 + s. Which is the closest to -0.3? (a) n (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*t - 5. Let k(q) = q + 1. Suppose -3*h + 20 = x + h, -5*h = -25. Calculate the remainder when t is divided by k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 2365.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -8*x + 104. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*q - 29 - 6, q = 2*m - 5. Suppose -3*d = -5*d + 8, -3*r - q*d + 32 = 0. Suppose 0 = -5*o - 2*g - 2*g + 31, r*g + 25 = 3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 20529357.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**7\/840 + c**6\/120 - c**4\/6 - 16*c**3\/3 - 5. Let t(j) be the third derivative of g(j). Let t(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/9)\/((212\/159)\/((180\/35)\/2))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:07 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -l + 10 + 7, -4*t = -4. Solve l - 32 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)\/x)**(-37)\/(x**(-3)*x**(-1)))\/(((x*(x\/x**(-3\/5))\/x)\/(x\/(x*(x*x**(2\/7)*x*x)\/x)))\/((x*x**(-2\/5)*x)\/x)**(1\/4)) assuming x is positive.\nAnswer: x**(7289\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from pwwwiiinpw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-2)\/132)\/((-6)\/11))\/(1\/(-3)). What is the nearest to -0.1 in n, 0.4, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256 - 106. Let m be (-16)\/6*t*-400. What is m rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19654022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1880 and -37\/59596.\nAnswer: 595960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -608*q**4 + 1313*q**3 + 25155998*q**2 wrt q.\nAnswer: -14592*q + 7878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:30 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 2*y**2 + 7. Let u be t(3). Let f = u + 56. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i - 140. Let w = -11 - -15. Let c be -69 + (w + -6)\/2. Do c and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**2 + 2*u + 5. Let t(c) = -c**2 - c - 1. What is -d(g) - 6*t(g)?\nAnswer: -g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 - 8*y - 6. Let w be u(-6). Suppose 0 = -2*j + w - 0. Let d = j + 1. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 - 5*i**2 - 12*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 17*l - 29. Let i be x(-15). Solve -m - v = 0, -2*m - i = -3*v + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53676 times -5\nAnswer: 268380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 - 111. Suppose x*p - 22*p + 28 = -4*k, -2*p - 2*k - 6 = 0. Calculate the least common multiple of p and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 + u + 37. Let r = 1 + -1. What are the prime factors of v(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 0 + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 3:27 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/487014 and -83\/506?\nAnswer: 11201322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:06 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 2*u + u)*(7*u + 8 - 8)*(6 + 8 + 3) to h + w*u + p*u**2 and give p.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let r(f) = -3*f + 3. Let m be r(t). Let x be (m\/2)\/(0 - 2). Which is the nearest to 0? (a) 2 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*q + 11 = 0, 5*c - 3*q - 148 = -136 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 451629.6t?\nAnswer: 451629600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -1232201?\nAnswer: -1232221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((11 + -13)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -0.108. Let x = -0.106 + j. Let z = x - -5.078. Which is the closest to 1? (a) z (b) 2\/11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-46)\/8 + (5 - 14).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 525081732 divided by -12\nAnswer: -43756811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6283 - -6373. Calculate the least common multiple of 1782 and a.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 26. Let r be d(9). Suppose 0 = 3*j - r*j - 392. Let h = -17 - j. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22 + 6*a**3 + 5*a**3 - 4 + 47 wrt a.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -897314 - 414542 = -119*y. Is 52 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**5 + 187348*b**4 - 12*b + 23257.\nAnswer: 140*b**3 + 2248176*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-65)\/25 + 6\/(-15) - -316. Let s = f - 171. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5416 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*v + 77*v + 436 = 234*v - 1181 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 x, and 2 o when four letters picked without replacement from aotxtaoaoat.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287.9 + -1.9. Let v = n - 282. Let u = -5 - -4.7. Sort u, 1\/8, v in descending order.\nAnswer: v, 1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-265))\/(10 - (-2548)\/(-245))\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 470, -2, 5, 2\/9, -0.11, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -49, 3?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*z + 11 = -4*u + 191*z - 452*z + 211, 3*u - 31 = -4*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1109671893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n - 5*n - 5*n - 29 - 7. Is p(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 11 - 22)*(-1 + 2 - 2)*(-3 + 0 + 2)*(-4 + 4 + 2)*(56 + 463*w**2 - 463*w**2 + w**5).\nAnswer: -78*w**5 - 4368","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-34)\/(-6) + (-4)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -992 + 993. Let v(i) = 2*i**3 - 2*i**2 + i + 1. Determine v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 57. Suppose a = -3*z + 7*z - 676. Suppose 129 = 2*c + 3*g, 2*c - z + 35 = -2*g. Calculate the highest common divisor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 8 = 12*r. Suppose 0 = r*f + 2*d - 6*d - 24, d = -4*f + 34. Suppose -4*a - 8 + f = 0. Which is smaller: -5\/18 or a?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {y: 6, k: 2, v: 2, e: 1, o: 1, s: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -60900 divided by 420\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1. Let c be j(5). Suppose p = c*p - 20, -2*w + 4*p + 222 = 0. Calculate the greatest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(22)\/sqrt(44) + -2)**2.\nAnswer: -6*sqrt(2) + 27\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.2052. Let k = 8.01 - m. Let r = -8 + k. Round r to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/20 (b) -2 (c) 5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*l**5 + 5*l**2 - 10*l wrt l?\nAnswer: -4800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112994, -226215, -339436, -452657, -565878, -679099?\n\"Answer: -113221*x + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, 56, 3, 1, 7, -0.2 in ascending order.\nAnswer: -0.2, 1, 3, 4, 7, 26, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104409 = 80*j - 89*j. Let v = j + -7048. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 5\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l + 267 = 101*l. Let w = -90 + l. Which is the fourth smallest value? (a) w (b) 4 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:22 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 288566020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - x + 1. Let z(n) = -2*n**3 - 3*n**2 + 6. Give -3*f(j) + z(j).\nAnswer: -2*j**3 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 10) + -12 - (1 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74912, 149836, 224760, 299684?\n\"Answer: 74924*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 + 378. Let u(p) = p**3 + 8*p**2 - p + 7. Let d be u(-7). Suppose -d = -7*l + w. What is the greatest common divisor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2255\/6 - -2253\/2. Let m = x - 750. What is the fourth smallest value in m, 2, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2*10\/(-4). Let s = 36 + -32. Suppose -a - m + 4 = 0, -a = s*m - 4 - 12. Solve -4*h - 3*f - 13 - 16 = a, -2*h = v*f + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8507 and 7262987.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6884, 27487, 61812, 109859?\n\"Answer: 6861*l**2 + 20*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {i: 3, d: 5, o: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -225 (b) 0.3 (c) -20 (d) 1\/5 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 329745330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 6*n**2 + 1352*n + 1344.\nAnswer: -2*(n - 28)*(n + 1)*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = -22*n - 7 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Let n be y(5). Is n\/4 + (-251)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q, -5*y + q + 8 = -0. Let s(h) = h - 18. Let c(t) = 2*t - 17. Let r(v) = 4*c(v) - 5*s(v). What is the remainder when y is divided by r(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56845 * 232.5.\nAnswer: -13216462.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*y**3 - 2606*y - 378*y**4 + 375*y**4 + 6781*y + y**2 wrt y?\nAnswer: -36*y**2 + 444*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19165 is divided by 9574.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002200 - -100?\nAnswer: 11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*a - 1, 3*a + 74 = 4*k. Suppose -3*j + 4*j = q + 2, 4*j = q + k. Solve -5*g - j = -25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9768 (b) -17 (c) 2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1304, 1307, 1310?\n\"Answer: 3*m + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4911*z = 4878*z - 99 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s - 2*f + 15 = 0, -f + 30 = 5*s. Which is the closest to -1\/4? (a) 3 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m - 2*o - 6547 = -55*m, -2*m = -4*o - 4378. What are the prime factors of m?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 8:39 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (162\/216)\/(1*1\/11)*1464\/(-1098)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508667?\nAnswer: 271, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42800000 = 4*z - 6*z. What is z rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1716 = -76*b - 7*b - 73*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112\/5 + 341\/15. Which is the biggest value? (a) -1 (b) 1\/4 (c) x (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505572?\nAnswer: 2, 376393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/167807 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2190 - -4235. List the prime factors of v.\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*k**3*r**3 - 3*k**3*r**2 + 595*k**3*r - 45354*k**2*r**2 + 2*r**3 wrt k.\nAnswer: -126*r**3 - 18*r**2 + 3570*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3309000 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 9:35 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318584983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6028157 from -9265294.\nAnswer: -3237137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -16*o**2. Let y be b(1). Let w be (-21)\/14*96\/(-18). Let c = w - y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from qptssstsq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4527707, 9055411, 13583117, 18110825?\nAnswer: 22638535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j - 24 + 24 - 300*j as l + b*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -0.4 (b) 39 (c) 2 (d) -2 (e) 12815\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/132400 and -58\/169141?\nAnswer: 67656400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2596 + 4?\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 260117153 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 = 169*p + 496*p + 1317 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1054, 1078, 1140, 1258, 1450, 1734, 2128?\n\"Answer: 3*b**3 + b**2 + 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4715 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5862 = 418*g - 2498 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, -13, -7, -4, 0.\nAnswer: -13, -12, -7, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:16 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 2. Let w(c) = -2*c - 1. Let u(x) = x**2 - 6*x + 3. Let q be u(4). Let t(k) = q*w(k) + 4*b(k). Find the first derivative of t(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11461 - 11460.9999972252. Round q to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1 = -11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14848 and 656896?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.3 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 47*h**2 - 12*h - 109. What is the units digit of f(46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/17)*o**(-17))\/((o**(1\/19)\/o)\/(o*(o*o**(-40)*o)\/o)) assuming o is positive.\nAnswer: o**(-17345\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20336293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*d**2 - 8 + 2*d**3 + 0 + 3*d**3 to the form s + w*d + q*d**3 + t*d**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10635 * 367.2\nAnswer: 3905172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 99, 89, 75?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 6, e: 4}. Give prob of sequence gneg.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 + 11)\/((-1)\/2). Suppose -n*c + 8 = -0. What is the second derivative of 5*h**4 + c*h**4 - 3*h**4 + 4*h - 3*h**4 wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31724 - 31720. Let 3\/2*c**u - 9\/2*c**2 + 3 + 3\/2*c**3 - 3\/2*c = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -34, -28?\n\"Answer: 6*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-33))\/((12\/(-144))\/((-1)\/4)). Put -3, 0.5, -169, 1, x in increasing order.\nAnswer: -169, -3, 0.5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 1136*f**2 - 12*f - f + 13*f**3 + 20*f.\nAnswer: 13*f**3 + 1136*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (24 - 25 - 11) - (10 - -4) - 102\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m. Let q(z) be the second derivative of -5*z**3\/6 + 2*z. Determine i(q(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 384895111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*v - 568842 + 551771 = 0 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxjxuccxpcp. Give prob of picking 1 u and 2 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 0.5. Let g = 7.5 + -8. Let h = v - g. Is -0.1 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 104*c - 10*c + 32*c - 63*c.\nAnswer: -143*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-2)\/4) + -4. Suppose -s + 4 = 3*l, 1 = -2*s - 5*l + 8. Let u = s + i. Put u, -0.1, 2 in ascending order.\nAnswer: u, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 768\/21 - 4\/7. Let l = 59 - v. Suppose -2*c + 0*j = -3*j - l, 3*c - 42 = -3*j. Calculate the remainder when 37 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22893985 >= 22893967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -23)*1\/(-2)*-2. Let r(n) = -10*n + 178. Calculate the remainder when 86 is divided by r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -11) + (-52)\/(1664\/96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 5*q = 3*n + 62098, -62102 = 3*n - 2*q. Round n to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5285b (base 13) to base 15.\nAnswer: 2e087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -17*i**3 - 4*i**2 - 38*i + 37. Determine w(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*(c\/(c\/c**(-2\/9))*c*c)\/c)\/c)))\/(c*c**(-6))*c**(2\/7)\/(c\/(c*c**(-9)*c)) assuming c is positive.\nAnswer: c**(-122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12582204 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39601311 divided by 3?\nAnswer: 13200437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-252)*132\/693?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -23, -43, -79, -137, -223, -343?\n\"Answer: -g**3 + g**2 - 6*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 divided by 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483 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: What is -2938 divided by 11523?\nAnswer: -2938\/11523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -13372*(-442)\/104 + 10*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -9. Let s be k\/((-14)\/12) + -1. Sort -3, s, 2\/3 in descending order.\nAnswer: 2\/3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -905*h - 4. Is y(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60858 and 87354?\nAnswer: 12841038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 smaller than 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717263652?\nAnswer: 2, 3, 7, 8538853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/20 + j**2. Let x(z) = 4*z**2 + 1 - 1 - 5*z**2. What is x(p(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -746, -1472, -2182, -2870, -3530?\n\"Answer: q**3 + 2*q**2 - 739*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -9, 2, -3\/8, 0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 290976 divided by -866\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-407)\/37 + (-132)\/(-4 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x + 2. Suppose x*y - 23 = 7. Let p(m) = -m**3 + 7*m**2 - 5*m + 4. Let a be p(6). Calculate the greatest common divisor of a and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-390)\/9*441\/(-105) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5640*f - 281988. Calculate v(-50).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25724759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3113 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3195054?\nAnswer: 2, 3, 139, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 81*k - 78*k - 42, -k = -3*t + k + 42 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15620742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 220.6731 milligrams?\nAnswer: 220673.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g - 2637 + 6762 = 0. Suppose -5*z = -10*z - 5*i + 885, z - 5*i - g = 0. Does 69 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.2 (c) 3\/2 (d) 1\/19 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from ajjaijissj?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222022012111122 + -2?\nAnswer: -222022012111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/2 - (-1)\/2*14. Solve -x*f - 6 = 2*d - 0, 2*f = -5*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 755 + -7641\/10. Find the common denominator of o and -2 + 106*(-4)\/24.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/148?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52428 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-444)\/(-42)) + 4. Suppose 173 = -17*a + 37. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 21 = -s + 6, -4*u + 12 = -s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 34*g - 20. Let b be k(1). Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 3550\/2013?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -7\/6*d**3 + 5\/8*d**4 + 0 + 9*d**2 + 0*d. What is the first derivative of q(i) wrt i?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-2)*10\/35. Suppose -k*s - 7 = -5*j, -5*j + 55 = 5*s - 10*s. Let z = s - -19. Solve z*b - x = -0*x - 3, -4*x = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92661, -92669, -92677, -92685, -92693?\nAnswer: -92701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.12 + 0.12. Let r = 96 + -93.02. Let l = r + 0.02. Sort 2, l, y in increasing order.\nAnswer: y, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:31 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.403 + -1.597. Which is the biggest value? (a) 4 (b) 5 (c) 1.1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7*f = 0. Let m(p) be the third derivative of f*p - 1\/60*p**5 - p**2 + 1\/3*p**3 + 0 + 0*p**4. Differentiate m(r) with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135201688*n**2 + 270403378*n**2 + n**3 - 135201690*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16958851*f**3 + 327*f**2 + 2*f - 315 wrt f.\nAnswer: -101753106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-192)\/(3 - (0 - -2)). Let v be (w\/20)\/(8\/(-3780)). Suppose f + v = 5*f + 4*a, 0 = 2*f + 4*a - 2276. Round f to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 1 n when three letters picked without replacement from {u: 2, a: 4, n: 2, x: 1, v: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/2 + f**3\/2 + 3*f**2\/2 - 3*f. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Suppose -2*o - 5*x = 0, 0 = -2*x - 2 - 2. Suppose 5*l + t*u - 126 - 76 = 0, 0 = o*l + 4*u - 194. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c + 8. Let k be s(2). Let z(i) = -7*i - 82. Let j be z(k). Solve 0 = -5*b - j*r - 12, -2*b - 5*r = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*v = 7, 2*v + 2*v = 4*x - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 12053.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z + 6. Let y be q(4). Let p be y\/(-4)*4\/3. Let x(i) = i**3 + 4*i**2 + i + 4. Let g be x(-4). Solve -4*j = 2*v + 8, -2*v + 3*j + p = -g*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 12541 + 12121 = 0. What is the remainder when 2271 is divided by l?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 - 79*p**3 - 11*p**2 + 1 + 18*p**2 in the form q*p + a + b*p**3 + u*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.277307*-12.5\nAnswer: -3.4663375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/16, -0.3, -1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3521, 2858, 2195?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8617, 17252, 25887, 34522, 43157, 51792?\nAnswer: 60427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrg when three letters picked without replacement from rygljzr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-2.8.\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h\/((h\/h**(4\/21))\/h))\/h)\/(h\/(h\/h**4)))\/(h*h*(h**(3\/4)*h)\/h*h)**(-29) assuming h is positive.\nAnswer: h**(8983\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + (sqrt(52) - (-2*1*sqrt(52) - sqrt(52))) - (sqrt(2548) + (0 + sqrt(2548))**2 + sqrt(2548)).\nAnswer: -2548 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exlmv. Give prob of picking 1 l, 1 e, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301\/56 <= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*364\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*c**3 + 103795*c**2 - 44510*c - 59320 = 0. What is c?\nAnswer: -2966, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + (-76)\/(-28). Suppose 4*o - 42 = -3*n, 5*o - n - i*n = 68. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 28. Let p(w) = 3*w**4 + 3*w**3 - w**2 - 3*w - 4. Let i(f) = -3*f**4 - 2*f**3 + f**2 + 2*f + 5. Let a(b) = l*i(b) - 3*p(b). Factor a(x).\nAnswer: -(x - 1)*(x + 1)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -204833.9687609?\nAnswer: 204833.5687609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + -6*(sqrt(13) + -4)**2 + -1 + -1 + sqrt(13).\nAnswer: -182 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -22.916 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 15*x + 6. Let s be 3 + (0 - 4) + 2. Let h = s + -7. Let c(o) = -5*o**2 + 29*o + 11. Let f(p) = h*c(p) + 11*a(p). Solve f(k) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192648 by 24.\nAnswer: 8027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 1088 - 2*r**3 - 6*r + 11*r**2 + 1081. Let d be s(4). Solve -2*v - d = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 11*w**2 - 25*w - 275. Let p be q(-11). Solve p = 3*d - 9*d - 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8\/7)\/y**(-3\/14)*y\/((y**(-1\/8)*y)\/y)*y**(-2) assuming y is positive.\nAnswer: y**(-101\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let p be w + 2*-1 - -1. Suppose p*l - 60 = -4*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, y: 5, j: 1, e: 1, q: 3}. What is prob of picking 1 f and 1 q?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-12)*14\/14\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 26 + 145*b + 14 - 62 to x + k*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 + 2 = 0. Let n be (-3 - (-8)\/2)*(-1 + -1). Is i less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 352.92 + -353. Sort -4\/5, -1\/5, -3, k.\nAnswer: -3, -4\/5, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpgpipgxxp. What is prob of sequence xi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1308, 2671, 4054, 5457?\n\"Answer: 10*m**2 + 1333*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645) + (sqrt(3645) - (sqrt(3645) - sqrt(3645)*-4)))\/(4*sqrt(729)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2*f**3 - 20*f + 23. Find the first derivative of d(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 1)\/(108\/9 + -10). Solve -2*i - 4*u - 26 = 0, 0 = -4*i + u - h - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2675? (a) -167 (b) 1 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 283 = -31*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 48.33492?\nAnswer: -4.833492","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - 0.26. Let a = 0.6 + -0.7. Let p = -431\/14 - -61\/2. What is the nearest to p in -4, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-5)\/(350\/(-30)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 41*j**2 + 2*j - 1. Let t be z(1). What is the greatest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28194, -225700, -761788, -1805748, -3526870, -6094444, -9677760, -14446108?\n\"Answer: -28215*q**3 - q**2 + 2*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 19. Solve 5*z**3 + z**4 + 12*z**2 - 3*z**3 + q*z**4 + 10*z**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 + -78. Let k be 4 + 2 + 2\/(-1). Sort k, v, 0 in ascending order.\nAnswer: v, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2. Let y be (13 + 9 + -6)*(17\/8 - 2). Let s(c) be the third derivative of 0*c**4 - 1\/20*c**5 - c**y + 0*c**3 + 0*c + 0. Give s(n(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1369 + 2740 - 1371 - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.96302693 - 5.963. Round c to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 60 = -0*a. Suppose 3*n - 12 = -0. Suppose -x - n*x = -a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 18. Let g = 14 + -4. Suppose 5*m = 10 + g. Solve 0 = -j + h*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203 - 1650?\nAnswer: -2153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29461.88415 - 29461. What is o rounded to 2 dps?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4068283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*d + 773*d - 1513*d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/3)))**(2\/17)\/(c*c**(-1\/2))**(5\/7))**(-50) assuming c is positive.\nAnswer: c**(5675\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 = -226*b + 2480 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 227\/4. Let w = 273 + -270. Put w, 5, l in increasing order.\nAnswer: l, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 35*z**2 - z + 43. What is g(-35)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose y = 2*v - 9 + 1. Suppose -b = v*b - 35. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + 297\/(-36))*4\/(-5). Let v = 2 - -3. Let u = v - 1. Which is the second smallest value? (a) y (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 2, l: 1, x: 1, b: 1}. Give prob of sequence xy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015163295 rounded to six decimal places?\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14711, 29406, 44077, 58724, 73347?\nAnswer: 87946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91\/58 + 1843\/232. Calculate the common denominator of 56\/5 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 + -156.8. Let h = o + -15. What is the third smallest value in h, -4, -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + sqrt(720) + 1 + -5.\nAnswer: -12 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -47, -515, 0, 4 in decreasing order.\nAnswer: 4, 0, -12, -47, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g - 35. Calculate f(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 1, -8, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 336007 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: What is 0.0001099 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3461 - 3447. Calculate the remainder when 2461 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-3)\/69) + 1\/1. Which is the biggest value? (a) -1\/5 (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9465 is divided by 3137.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - y - 1. Let f be b(0). Let s = -437 + 7865\/18. What is the closest to -1\/3 in f, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12242314 (base 5) to base 14.\nAnswer: -31255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -471d + -894?\nAnswer: -50b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(2 - 1 + 0 + (1 - 3 + 10)*(2 + 3 - 3)*(3 - 2 + 6))*(-1124 - 33*x + 1124) to the form w + s*x and give s.\nAnswer: -3729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42\/47 + 116\/235. Let c = -0.314 - -0.014. What is the smallest value in -1\/5, g, 12, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/(0\/(-5) + 1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = -0*h. What is o in 8*o**4 + 3*o - 6*o**4 - 6*o**2 + 5*o - 3 - o**h = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 2. Suppose 437*q - 1207 - 104 = 0. Sort -6, g, q in descending order.\nAnswer: q, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v + 5*u, 3*u = u. Suppose v*p - 7 = -3*p. Let m = -0.4 - -1. Is p at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13239676 to the nearest integer?\nAnswer: 3639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -50*x**2 + 58174*x + 30262. Determine h(1164).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*r + 283, -2*r = -5*j + r + 347. Suppose j = -0*k + 5*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15524, 62202, 140034, 249020?\n\"Answer: 15577*x**2 - 53*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*1*-1 + (3*sqrt(704)*-1)**2.\nAnswer: -8*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 44. Let n(g) = -1506*g - 7. Determine p(n(a)).\nAnswer: 3012*a + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10298304 divided by 1882\nAnswer: -5472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/2193 and 6\/144*(-16 - (-6984)\/516).\nAnswer: 8772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 124.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*302\/32767*-248.\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40702052 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -526*u + 6044. Give m(10).\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -419, -416, -413, -410, -407?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20843276 to the power of 1\/2, to the nearest integer?\nAnswer: 4565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 2*z**2 + 2*z**3 - z**4 - 2*z**2 + 2*z in the form m + l*z + n*z**4 + y*z**3 + q*z**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 5*d**2 - 8*d**2 - 5*d + 4*d**2 in the form p + n*d**2 + j*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16028784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5685 - -3859. Let c = -1117 - z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 33*n - 35*n. Calculate the least common multiple of 12 - n*4\/(-6) and 43.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + g = -9, g - 3 = -6. Suppose -2*y = -3*x - 11, x + 5 = -0*y + 2*y. Find the first derivative of 3*j**2 + y - 4*j**4 - 4*j**w + j**2 wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 2*b**2 - 8*b + 4. Let a be r(4). Let u(s) = s**2 - 3. Let i be u(a). Let l = i + -5. Solve -q + l = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 115952691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -21. What is the closest to -0.2 in 0.3, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2 + 5*v - 7*v**2 + 0 + v**3 + v + 0. Let c be t(6). Let f be ((-222)\/24)\/(c\/8). What is the highest common divisor of f and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 76, 107, 118, 97, 32, -89, -278?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 964.\nAnswer: -1\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -44. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*u**3 - 176*u**3 + 75*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161135318.\nAnswer: 2, 80567659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {z: 4, s: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12732 - -21952. Suppose -x = -17*c + 12047. What are the prime factors of c?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9117700 to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -4*f - 2*j, -5*f - 3*j + 19 = 0. Let d(r) = 11879*r**2 + 4*r + 5. Let h be d(f). Round h to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/18 + 4\/(-18). Suppose 30 = 5*i - l, -l + 30 = 5*i + l. Let c = i + -5. Sort g, c, -3 in decreasing order.\nAnswer: c, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -2, -0.5, 3\/5, -12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 1008063.498.\nAnswer: -1008057.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/21 + (-22)\/126. Put u, 1\/5, 2 in decreasing order.\nAnswer: 2, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**7\/630 + 13*x**4\/12 + 8*x. Let g(l) be the third derivative of f(l). Let t(k) = k. Determine t(g(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from luuuulvvuuuuuuluuu?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4289370 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 6*v**2 - 5*v - 2. Let k(u) = u**2 - 4*u - 4. Let z be k(4). Give o(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(1\/4)))**(-2\/43)*(k**8*k)\/(k**0*k*k) assuming k is positive.\nAnswer: k**(607\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121847?\nAnswer: 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 935 + -650. List the prime factors of p + 1 - (3 + (-32)\/8).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 11*s + 4. Let c be 1\/(-3)*-3 + -7. Let m(t) be the second derivative of -7*t**4\/6 + 16*t**3\/3 - 11*t**2\/2 - 6805*t. Give c*m(r) - 17*j(r).\nAnswer: -r**2 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166861167, -166861166, -166861165, -166861164?\nAnswer: -166861163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.105 - 13329.\nAnswer: -13329.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 2*b + 3. Let r be y(1). Let o be 255\/68*8\/r. Sort o, 4, 1.\nAnswer: 1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 66 = 19. Solve 0 = 7*h - 2*h - 4*f - r, -4*f = -2*h + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0.2. Let n be (0 + -1 + 3\/2)*10. What is the third biggest value in g, 1, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + b - 2. Let q be o(2). Let a(g) = -g**2 + 25*g + 22. What is the remainder when a(25) is divided by ((-9)\/12)\/1*q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 81 - (5 - -8 - 33)) + -2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25071 is divided by 24632.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y**2 - 717*y + 16 + 3*y**2 + 717*y to the form m + u*y**2 + i*y and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 10 = -7*d. Let n be (d\/51)\/(6\/(-18)). What is the third smallest value in -3, 11, n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.2 - -24.1. Let l = 0 - 1. Which is the closest to l? (a) y (b) -2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 435 - 3919\/9. Let s = -61\/9 + n. Find the common denominator of s and 621\/(-69)*2*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5174 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034618267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27643140 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 + 100?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:07 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22\/50)\/11)\/((-5)\/(-10))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-2*k**2 - 2*k**2 + 3*k**2)*((-1 + 2 + 1)*(-3 + 4 + 1) + 0 + 0 - 1 + 3 + 1 - 2 - 1 + 5 - 5).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 247570463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14823?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = 0, 2*q - 9 = -q + 3*g. Suppose -5*w - 5*s + 15 = 0, 0 = -0*w + 2*w + 5*s + 6. Suppose 9 = 2*f + w. Is f <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-2))\/(7\/7). Suppose 0 = 3*t - v*t - 117. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 1036533?\nAnswer: 1036526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 3*q**2 - 4*q + 2. Let k be p(4). Suppose -k*t = 3*t - 15. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926194615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.53 (b) 0.04 (c) -2 (d) 3 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/18)*q**(5\/2)\/q*q**(3\/14)*q*q**(-3\/17)\/q assuming q is positive.\nAnswer: q**(3175\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1052, -2098, -3140, -4178, -5212, -6242?\nAnswer: -7268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - -43) + 31 - 40?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -27. Suppose -j*l - x = -50, 3*x + 66 = 4*l - 2*l. What are the prime factors of 235\/(3 + -2)*l\/45?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 12*j - 9. Let k be h(-11). Let u = 205 - 202. Let s = -92.2 - -92. Sort k, u, 2\/5, s.\nAnswer: s, 2\/5, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - z - 12. Suppose p - a = 4*a - 16, -a - 31 = -z*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/96)\/(6\/(-8))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -150265\/1051806 + 1\/150258. Let t = -8 - -1. What is the closest to -5 in t, m, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 4488*c**2 + 22503*c - 18012.\nAnswer: -3*(c - 4)*(c - 1)*(c + 1501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1227108 (b) 1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88576*j**2 - j + 18412 wrt j.\nAnswer: -177152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200897127?\nAnswer: 3, 19, 71, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 19*o - 12. Determine g(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) -2 (b) 75 (c) -0.3 (d) -1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20 + (-2 - -3 - -1). Let n = y + 12. Let x be (n\/(-9))\/(2\/9). Solve 5*i + 2*c + 5 = 0, x*c = -2*i + 3*i - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 36 = -7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/13, -3\/14, 4, 0.5?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b - 0*b. Let k be 6 + b*(-2 - -1). Suppose k*t = 6*t. Solve t = -n - 5, -2*v - 2*v - n = 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o - 15. Calculate h(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*m = -6, 1941*c = 1942*c - 3*m - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let a(t) = 1556200*t**2. Calculate q(a(f)).\nAnswer: 3112400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -12. Let x = 108.4 + -109. What is the second biggest value in u, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 15 + -9 - (30 + -13).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.651126 and 2?\nAnswer: 1.302252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0296 + 5.3604. Let n = -0.482312 + -4.902428. Let t = q + n. Round t to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**6*q**3)\/(q**(-2\/3))**(-2\/105))**14)**(-5\/4) assuming q is positive.\nAnswer: q**(317\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 120213221 (base 5) to base 10\nAnswer: 554186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4 + 85*q**3 - 1371*q**2 - 19129*q - 17672 = 0.\nAnswer: -8, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 = -2*b + k, -3*b + 5*k + 32 = 0. Let v = 7 - 6. Suppose -14 = -b*g + 2*w - 4*w, -w = v. Is g greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5633 + -63?\nAnswer: 5540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 3*b**2 - 11*b - 11. Let y(g) be the third derivative of g**6\/120 - g**5\/60 + g**4\/6 + 2*g**3\/3 + 15*g**2. What is -4*s(w) - 11*y(w)?\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -114003?\nAnswer: -114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -465, -457, -449?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 800?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -50*x**2. Let n(g) = -70*g**2 + 141*g**2 - 65*g**2. Determine k(n(b)).\nAnswer: -1800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27674 (base 8) to base 9.\nAnswer: 17677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5 - 195*s**4 + 15*s**3 + 595*s**2 + 390*s = 0. Calculate s.\nAnswer: -39, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/1)\/(-12) - 782\/(-3). Suppose -5*a - 5*m - 120 = 525, y = -2*a - 5*m. Is -129 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + -8200?\nAnswer: -8268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -189. Suppose c - 256 = 3*v, -18 = 3*v - 6. Suppose -c = -s - p. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b76 - 2?\nAnswer: 10b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0.22, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-722)\/6*1 + 13\/(585\/(-30)). Is z at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 497, 969, 1619, 2441, 3429?\nAnswer: 4577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*z - 24 = 0, 5*z = 110*c - 108*c - 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1101011111 (base 3) to base 9\nAnswer: 41144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a + 11. Calculate m(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7736 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26957556.\nAnswer: 2, 3, 249607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxzzxzxzzxxxbb. Give prob of sequence zz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/10)\/(3\/(-15)). Suppose k = 4*s + 5*d, -2*s + s + 1 = d. What is the units digit of (8\/20)\/(s\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 228?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*a - 183 - 51 = 0. Calculate the least common multiple of 88 and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -139.8, -3, 2\/167, -9, -0.3 in descending order.\nAnswer: 2\/167, -0.3, -3, -9, -139.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1043403131020?\nAnswer: -1043403131023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + -4 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 20*a**2 - 18*a - 18. Calculate x(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -580300 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 44916 divided by 2364\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**5*s - 1433*i**4*s**2 - i*s**2 - i*s - 14*i + 419*s**2 wrt i.\nAnswer: 20*i**3*s - 17196*i**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -175\/12 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 1. Let z(p) = 4*p**2 - 8*p - 2. Suppose 4*s - 3*s = 3. Let y(x) = s*r(x) - z(x). Is y(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 6981\nAnswer: -6977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81480967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*v = -0*v + 24, 0 = -2*t + 2*v. Let k(z) = -t - 3*z + 0*z + 3. What is the units digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -463\/4350 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 3:58 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129869*h = -129867*h + 14*v + 34, 5*h + v = 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b**2 + 36*b - 8. Let h(z) = -5*z**2 + 18*z - 3. Let v(g) = 13*h(g) - 6*l(g). Let n be v(-11). Let o = 2587 + n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/704 - -14601\/704. Let q = -4\/6317 - 840113\/75804. Calculate the common denominator of q and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256442409 divided by -9?\nAnswer: 28493601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 364 + -318. Calculate the highest common divisor of 598 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/(-4))\/((-67)\/(-134)))\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 54002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moy when three letters picked without replacement from mwwpwyzmmommp.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.29 (b) 2\/9 (c) 5320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 1. Let t be b*1 + (-95)\/20. Sort t, -1, -2 in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Which is the second smallest value? (a) -5 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.9 - 6. Let g = j - 16.9. Let u = g + 17.26. What is u rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340340077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1 + 9*x - x**2 - 2*x**2 + 2*x**2. Let k = -903 - -912. Determine i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Suppose 0 = -4*s + 16, -k*s = -j + 1 + 7. Suppose -140 = 18*x - j*x. Calculate the remainder when x is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101121123 + -10?\nAnswer: 101121113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2*t**5\/15 + 7*t**4\/6 - 20*t**3\/9 + 113. Solve g(o) = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/(-252) + (-2)\/(-9). Let z be 15\/4*(288\/(-40) + 7). What is the third biggest value in z, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((-1 - -13) + 2). Which is the smallest value? (a) n (b) 7 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18440*n**2 - 3*n + 18439*n**2 + 3*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*k - 139411 = -155695 for k.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157264, 314376, 471488, 628600?\nAnswer: 785712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 6, 5*v - 35 = 5*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33\/13, -6\/8461, -1 in decreasing order.\nAnswer: 33\/13, -6\/8461, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/((-1*2)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.024 - 45.976. Let x = a + 32. Which is smaller: x or 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/3 in -4, -0.3, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 7 + (3 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4 + 326308*g**3 + 2936640*g**2 + 4894364*g + 2284030 = 0. What is g?\nAnswer: -163145, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376 and 24289036?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 6 - 10)*(-3*x**5 + 2*x**5 + 0*x**5) + (-x - 2*x + 2*x)*(-x**4 + 0*x**4 + 0*x**4) + 39*x**5 - 221*x**5 + 28*x**5 - 374*x**5.\nAnswer: -511*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/13 + 46*f**3\/13 + 186*f**2\/13 - 70*f + 52 = 0.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)*c*c\/c**(-2\/5)*c*c)\/(c*c**(2\/5))**(1\/5)*((c*c*c\/(c\/(c\/(c\/(c**(-1)\/c*c))*c)))**42)**(-31) assuming c is positive.\nAnswer: c**(-195041\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10533 (base 6) in base 4?\nAnswer: 113121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l**2)*(19*l**2 + 40*l**2 + 20*l**2).\nAnswer: -79*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65630398 is divided by 264?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 - 884?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = 5*d. Suppose p + 3 - 5 = d. Solve -w = -4*k + 15, 0 = -7*w + p*w - 4*k + 45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.100217 + 6.1. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - -182. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let v = -0.3 - 0.1. What is the biggest value in 0.3, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 760 and 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94907786 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/331267 + 44058823\/51677652. Let i = h + -4\/39. What is the closest to -2 in i, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.131, -0.07, 4, 115, 1\/7, 2\/5 in increasing order.\nAnswer: -0.07, 0.131, 1\/7, 2\/5, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 4. Let h be t(3). Suppose h = 2*w + 3. Is 7 a factor of (-4 - 3\/1)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwntwtwtww. Give prob of sequence nt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 630329.86 - 642603. Let o = a - -12387. Let t = 114 - o. Put -5, t, 0.2, -4 in ascending order.\nAnswer: -5, -4, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 9*t**2 - 8*t + 10. What is y(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 13*v + 770 = 11*v. Solve 20*b - v + 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1955.0559 - 0.0559. Let n = -1955.000001139 + k. What is n rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -16976, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 5)\/(-1*3). Let c = 73427\/20 - 14637\/4. Find the common denominator of w + (1 - 49\/2) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -4 + 2 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-7 + 2 + -6 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6767955 divided by 35\nAnswer: -1353591\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 7*d**2 + 8*d + 2. Let y be k(-8). Suppose 0 = y*h + 10 - 0. Let v = 4 + h. What is the closest to 3 in -2, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 1, k: 1, x: 1, c: 2, a: 1}. What is prob of picking 1 y and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*y - 0*y + 5*q, -q = 5*y - 98. What is the smallest common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3\/2 - o. Let p = 340 - 343. Let f(d) = 24*d - 48. Let s(k) = -5*k + 9. Let w(j) = p*f(j) - 16*s(j). What is w(t(l))?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20327.\nAnswer: 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 66*x**2 + 66*x - 57. Let q be p(-67). Solve -17*i = q*i - 54 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 959 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -658 - -639. Let z be (0\/y)\/(2 - -1) - -3. Solve x - z*k + 7 = -2, k + 1 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -451\/1836 - 2\/459. Let s = 0.4 + -0.1. What is the fourth biggest value in p, -0.8, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.2. Let o = -555988\/5 - -111198. Which is the biggest value? (a) o (b) 0.02 (c) -2\/9 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 37. Let v = 71 + n. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let c = 1 - z. Solve 4*j + j = -4*a + 21, -7 = -c*a + j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 + 5*t**2 + 5. Let n = 132 + -93. Let q be (-6)\/n + (-201)\/(-39). Let r(h) = -3*h**3 + 4*h**2 + 4. Calculate q*r(u) - 4*l(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 7*a - 1870. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00335 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = 0. Let c be (n + 2)\/((-8)\/(-24)). Suppose -2*g + c + 10 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2.1. Let q = 1.39 + -9.19. Let r = q - -10.8. What is the second biggest value in -0.11, z, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 2. Let p be b(0). Suppose p*y - 83 = 51. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -64. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 111 + 321 = x, -b = -x - 90. Suppose 32*d - 198 = 21*d. What is the remainder when b is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 30 = 50. Suppose -d = 2*q - 8. Let g(b) = -7*b**2 + 2*b + 3. Let s(v) = 6*v**2 - 2*v - 2. Let y(i) = -4*g(i) - 5*s(i). Calculate y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23834 is divided by 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -41*k - 13. Let o(v) = v**2 - 231*v - 1171. Let y be o(-5). Let d(z) = 10*z + 3. Determine y*d(n) + 2*c(n).\nAnswer: 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044536122 a multiple of 3358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - sqrt(396)*2*-2) + sqrt(396) - ((sqrt(396) - (sqrt(396)*2 + sqrt(396))) + 4).\nAnswer: -4 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 52. Calculate o(-17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.01 + -0.01. Let q = 4.5 + -0.5. Let c = q - i. What is the second smallest value in 4\/3, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2516 and 12954884?\nAnswer: 12954884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - b + 2*b - 38, d = -b + 6. Let x = -29 - -29. Let v be 6 + (15 - 15) + (1 - 5). Solve x = -2*z - v*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 14*v**2 - v + 18. Let y be f(14). Suppose p + 5 = 0, -17 = -u + y*p - 3. Let n be 2*(-9)\/u - -1. Is n smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71 - (47 - -8)) + 40?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**3 + 4*w**2 + 339*w - 342. What is x(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, r: 5, w: 1, k: 1}. Give prob of sequence rz.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-30)\/(g**(-12)*g))\/((g*(g*g\/(g\/g**(-15)))\/g)\/g**(-24)) assuming g is positive.\nAnswer: g**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 31*w + 35 - 44 + 29*w to b*w + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1663 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 3*i, -5*q = 4*i - 19 - 20. Let v be 2\/12 - 1\/i. Suppose 2*n = -4*y + 52, 2*n - 2*y - 76 = -v*n. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -1220?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = 2*k - 16*a - 1509 + 1568, -4*k - 97 = -a for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195205706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*j**3 - 33589218*j**2 - 3760789250208*j - 902587485312 = 0. Calculate j.\nAnswer: -223928, -6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 246293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61121, 122240, 183359, 244478, 305597, 366716?\n\"Answer: 61119*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*u**4 - 135*m*u**3 - 49*m*u + 2*u wrt u?\nAnswer: -12*m*u**2 - 810*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - o - 3*o = 16, 8 = 4*z - 4*o. Let h be z\/(-2) + 3\/6 - 4. Let v be ((-12300)\/(-7))\/(3\/63*h). Round v to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137 - 180 - (-123 - -25)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-176)\/55*5*(0 - -1). Let f be ((-440)\/x)\/(-5) + 6. Which is the nearest to 10? (a) f (b) -1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(-1 - 3 + 3) - 3*g + 1 - 1 + (-220 - 84 - 149)*(g + 2*g + 0*g) + (2 - 2 + g)*(-2 - 2 + 2).\nAnswer: -1363*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 2074 - 2074.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, e: 8}. Give prob of sequence edde.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 > -4214371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*y - 8 = 0, 0 = -5*l + 3*y + 32 - 12. Solve l*u = h + 12, 8 = -2*u + 7*h - 10*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.2 and 2568.8417.\nAnswer: -8220.29344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, -1\/453, 0.3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Suppose i*q - 34 = 116. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 3*g**2 - 5*g**2 + (-2*g**2 + 4*g**2 + 0*g**2)*(-2 + 4 - 1) + (-4*g**2 + 3*g**2 + 18*g**2)*(-2 - 2 + 2).\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16289807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/4 - 5 - 0 - -285*26\/(-260)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1709 and 1179.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3\/4, -568, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*u**2 - 12*u**2 + 17*u**2)*(1 - 2 - 1) - 23*u**2 + 10*u**2 + 21*u**2.\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 - 5*z + 8. Let s = 16658 - 16664. What is h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p + 1. Let v be m(-1). Suppose -3*n = v - 41. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/135 and 12 + 448937\/(-34776) + (-8)\/(-14)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 0*l**2 + 35\/12*l**4 + 17\/6*l**3 - 26*l + 0. Find the second derivative of a(r) wrt r.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 13*a + 128 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/3 + 3\/(-36)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42140461?\nAnswer: 11, 19, 201629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(405) + 2 + sqrt(405) - (0 + sqrt(405) + -2)**2) + -4.\nAnswer: -1228 + 162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 20 = 0. Suppose -s*l + 45 = -15. Calculate the remainder when 34 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-2) - 2\/4. Is 9 a factor of 4\/(4\/3) - x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let j(y) be the first derivative of -2 + 5\/2*y**2 + 0*y. Give t(j(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 6*d + 20. Calculate the lowest common multiple of 7 and m(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 222 + -65158?\nAnswer: -64a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 (-4 + 5 + 1)*(-1 + 1 + 2*h) + (-h + 7*h - 4*h)*(-3 + 6 + 6).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*q - 2*p - 12, 6*p - 7*p + 5 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1904 = 4*z, 3*z - 460 = -2*s + 320. Let n = s + -254. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 3. Let v be j(-8). Suppose v*f - 2*t - 22 = 0, 5*f + 5*t - 11 = f. Solve 8 = f*r - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 + 3*l**2 - 45. Let d(c) = -4*c**3 + 4*c**2 - 45. What is 3*d(r) - 4*p(r)?\nAnswer: 4*r**3 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22133\/27 - -819. Calculate the common denominator of r and -17\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -4)*(-1 + 2). Let o be -5 - -6 - (t - -1). Let m(z) = 3*z**2 + 2*z + 2. What is the remainder when 27 is divided by m(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 6*a - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 540747 at least as big as 540747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1329, -1, 21.\nAnswer: -1329, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yby when three letters picked without replacement from {b: 6, k: 1, y: 2, i: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.052, -2\/3, -0.1, 3, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1\/18 - 33*6\/2268?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*a = -936, -2*y - 2*y = 4*a + 960. Let z = 423 + y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r + 522. Calculate c(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -152b (base 13) in base 11?\nAnswer: -234a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2633327 + 5?\nAnswer: 2633331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16064 + (6\/8)\/(312\/3328)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -899\/4 - -225. Which is the second biggest value? (a) 7 (b) 4\/7 (c) 0.6 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010 (base 2) to base 6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060512701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:22 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1376 divide 2602756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3\/5 - 2*p**2\/5 - p + 4\/5 = 0?\nAnswer: -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 15*g + 13874 = -12*g, -3*s = 3*g - 10404. What is the highest common divisor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 24 + 496. Let x = -34 - u. Suppose 5*v = 5*j - x, j + 3 = 3*v + 4. Solve j*k - 4*k + 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -10. Suppose 0 = 4*u + 4, -y + 4*u + 4 + 2 = p. Let j = -4 + y. Put -4, 1, j in ascending order.\nAnswer: -4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/15 + 32\/6. Let m(q) = 3*q + 1 - 5 + g*q**2 - 2*q**2 - 4*q**2. Calculate m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12964, -13089, -13214, -13339?\nAnswer: -13464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/5, 3\/5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2\/5 - 394420044*t\/5 + 12963930925746828\/5 = 0.\nAnswer: 65736674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((-4)\/8 - (-2)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 320, -268, 84 in decreasing order.\nAnswer: 320, 84, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 1640.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169700 and 84850.\nAnswer: 169700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27803 - 27782 = -30*z - 3*h, -4*h - 28 = z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(10\/(1\/(38\/3325)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -10*z + 24. Calculate the greatest common factor of z and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27120\/50 - (-40)\/25. Calculate the greatest common factor of 32 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-2)\/4 + -1). Suppose -7*z = -22 + 1. Suppose -2*d - z*d - t = -4, -2*t = l*d. What is the second smallest value in d, -4, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864 by 36.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - a = -12, 22 = -3*i + 5*a - 4. What are the prime factors of 29 + i + (-1 - 3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, s: 1, u: 8}. What is prob of sequence oo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -149a451 - -1?\nAnswer: -149a450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l - 60 = 0. Suppose 9*w = l*w. Solve w = -h + 3*p + 5, 2 = -3*h + h + 2*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 4 - 1)*(-4 - 1 + 4) + (-4 + 0 + 3)*(1 + 0 + 0) - 2 + 6 - 2)*(-5*n**3 - 3*n + 3*n) to o*n + t*n**3 + y + s*n**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2770424 and -5483727?\nAnswer: 8254151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -36272?\nAnswer: 3264.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*m - 39 = 0, 5*d + 0*d - 100 = 5*m. Suppose s - 5*s = 0. Suppose -h - 4 + d = s. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) + 1608\/11. Suppose -2219 + w = -3*z. What are the prime factors of z?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 116. Suppose 4*u = -3*o + 38, 8 = o + 4*u + 6. What is the highest common divisor of o and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 + -10010000101101110001?\nAnswer: -10010000101110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)**(6\/17))**41*(t**(-1\/4))**(-18)\/(t**0\/((t*t**(1\/8)*t*t)\/t)) assuming t is positive.\nAnswer: t**(4837\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4280 divided by -5\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1227*g**3*l - 72*g**2*l + 19*g**2 wrt g?\nAnswer: -7362*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -267181 and -1\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/45 or 11229.99?\nAnswer: 11229.99","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v + 115. What is the remainder when 772 is divided by j(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*25\/(-1500))\/((75\/3)\/(-5))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -238\/5, -2\/11, -5\/4, -4\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 36*g**2 - 37*g + 5. Let n be x(37). Suppose -2*b = -n*w + 35, -2*w - 5 = 3*w. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/17 - 30*t**4\/17 + 54*t**3\/17 + 262*t**2\/17 - 576*t\/17 + 288\/17 = 0. What is t?\nAnswer: -3, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/7)\/s**10)\/(s**2)**5)**(-2\/13) assuming s is positive.\nAnswer: s**(288\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 27.\nAnswer: 3*(q - 3)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t**3)*(-88*t - 1 + 34*t - 27*t).\nAnswer: 162*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*18\/(-84))\/((-924)\/112).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdxq when four letters picked without replacement from giqigidgixiqigxq.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4)\/(-168)*2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6060.94023 rounded to 1 decimal place?\nAnswer: -6060.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -343 (base 7) to base 15\nAnswer: -bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + 4 - 4) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77094319 divided by 1.\nAnswer: 77094319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8072 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 929 + -935. What is the smallest value in -0.5, u, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 89, 158, 231?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*f**4 - 5*a**2*f**2 - 2*a**2*f - 2*a**2 - 2*a*f**3 - 195*f**4 wrt f?\nAnswer: 48*a**2*f - 12*a - 4680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k. Let f be b(3). Suppose 247 = 7*y + f*y. Suppose 0 = -z - 4*q + 3*q + 11, 0 = 4*z - q - y. Solve u + z = 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/(12\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166126 (base 9) to base 2.\nAnswer: -11001000111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10104 is divided by 1671.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -232, 91, 418, 749, 1084?\n\"Answer: 2*d**2 + 317*d - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 2 - -4)\/(-1) - -3. Let s be 9\/l*(-24)\/(-18). Solve 0 = 2*j - 2*w - w - 5, -j + s = -2*w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w + 7. Suppose 24 = 7*q - 11*q. Let k(y) = y**2 - 9*y - 6. Let a(h) = q*j(h) - 7*k(h). Find the second derivative of a(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-14) - 12\/21)\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471796 = k - 14*x + 471959, 0 = -4*k - 5*x + 80 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37625700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahahhaahxhaaha. What is prob of picking 1 x and 1 a?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11419255 is divided by 2148.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/7, -42, -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 205. Let j(n) = -i - 2*n**3 - n**2 + 76 + 81. Calculate the remainder when j(-3) is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 2*r**2 - 3*r**2 - 1631*r**3 + 820*r**3 - 11 + 815*r**3 in the form v*r + j*r**3 + s + x*r**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -19) + (4 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/17)*b*b*b)\/(b\/(b*(((b*b*b**(-21))\/b)\/b)\/b))*(b**(-4\/5))**(-11\/4) assuming b is positive.\nAnswer: b**(-1328\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((1 + 3)\/212). Let p = -51 + n. Suppose -64 = -p*y + 276. What is the lowest common multiple of y and 8?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -19*o. Let r(u) = -19*u**3 - u**2 + 5*u - 3. Let p be r(1). What is the units digit of j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*y + 292 = -374 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6136, 6130, 6118, 6094, 6052?\n\"Answer: -w**3 + 3*w**2 - 8*w + 6142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49247364 by 4.\nAnswer: -12311841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-2 + 2 - z**2) - 57*z**2 + 117*z**2 - 61*z**2 + 8.\nAnswer: z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -41700000 rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and -1384673.\nAnswer: -69233650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -0.3 (c) -110240 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 148 = -29*b - 25. Factor 1\/4*i**4 + 3\/4*i**b - 1\/8*i**5 - 13\/8*i - 3\/4 - 1\/2*i**2.\nAnswer: -(i - 3)*(i - 2)*(i + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1170?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**3 - 32*h**2 - 399. Let m(b) = 5*b**3 - 16*b**2 - 199. Let x(p) = 3*a(p) - 7*m(p). What is the derivative of x(y) wrt y?\nAnswer: -15*y**2 + 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -89*p**3 + 2*p**2 + 2*p - 1. List the prime factors of y(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-387*n - 793*n - 517*n)*(-n**2 - n**2 + 0*n**2).\nAnswer: 3394*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -228, -696, -1492, -2628, -4116, -5968, -8196, -10812?\n\"Answer: -2*p**3 - 152*p**2 + 2*p - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -3 - (3 - 3). What is the tens digit of 69 + (0 + 1 - m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29489 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 7125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5412, -9853, -14284, -18699, -23092, -27457, -31788, -36079?\nAnswer: -40324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let n = -776\/5 + 154. Let s = 13\/15 + n. Which is the nearest to o? (a) 3\/4 (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001392 rounded to 5 dps?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8573, 2, -2\/5, 4, 3\/7, 1.\nAnswer: -2\/5, 3\/7, 1, 2, 4, 8573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1573469 divided by 10\nAnswer: -1573469\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 164*d - 2109. Give m(176).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32144\/(-533))\/(-98)*6\/(-1)*312\/(-72).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -183 - (87 - 164) - -98.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1300) + 0)**2 - sqrt(13)) + sqrt(13) - (sqrt(637) + 1)).\nAnswer: -7*sqrt(13) + 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 5. Suppose 0 = -a - 2*b - 49, -5*a - 273 = -0*a - 4*b. Let d = s - a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*b**2 + 111*b**2 + 657463798 + 179*b**2 - b**3 - 657463798.\nAnswer: -b**3 + 616*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 190 = 49*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 + (-296)\/(-288). Let z = -3.08 + 0.08. Sort b, z, -2\/5 in descending order.\nAnswer: b, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 260*j**2 - 4012*j - 9804 = 0. What is j?\nAnswer: -43, -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4803966 by -1.\nAnswer: 4803966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555 times 5?\nAnswer: -7775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*x - 3*x + 208 = 205, -x - 2 = -2*w - 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 139, 270, 391, 496, 579, 634, 655, 636?\n\"Answer: -g**3 + g**2 + 135*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28846, -29074, -29304, -29536, -29770, -30006?\n\"Answer: -r**2 - 225*r - 28620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-4 + -3 + 10). Suppose -6*k + 4*k + 10 = g. Suppose 4*u + 5*v + 16 = 0, -5*v - 14 = 2*u - v. Sort k, u, -3 in decreasing order.\nAnswer: k, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/15 (b) -0.2 (c) -88\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254337842 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 7}. Give prob of picking 2 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 7*x - 5. Let g(u) = 2*u**2 - 4*u + 3. Let k(m) = -4*a(m) - 7*g(m). Let w be k(-1). Is 20 a factor of w*((-40)\/(-4) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -689\/4 + 172. What is the fourth smallest value in 5\/3, r, -0.1, 1\/10?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/19*-3*6\/(-18)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7464 and 2486445?\nAnswer: 19891560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9577*i - 603413. What is u(63)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2530912 and 4256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*x - 5. Let n = x + 7. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 27 = -4*f. Which is the closest to -1? (a) -1 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1700 + 1700 - 6*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-477)\/(-318)*((-2)\/(-11) - 410\/(-165)). Solve 0 = 5*c + 3*l - 9, -9*c + p*c = 4*l - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = 5*a + 140. Let l = -102 - a. Solve 2*o = -l - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6*6 - -3. Let j(b) = -2*b**2 + 13*b - 10. Let i be j(d). Solve -14 = i*w + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -326*v**5 + 161*v**5 - 322*v**5 - 8*v**5 + 2*v**5 - 12*v**5 + (2*v**2 - 2 + 2)*(2*v**3 + 0*v**3 + 0*v**3).\nAnswer: -501*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67028?\nAnswer: 2, 13, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {y: 9, o: 7}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 55*t + 349. Let w be g(-10). What is the nearest to 10 in -1\/5, w, 0.07, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1441 + 1446. Solve -2*x + 0*t + 3*t + 15 = 0, 5*t = -z*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q)\/(q\/q**(17\/3)) assuming q is positive.\nAnswer: q**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/(-10))\/(4\/(-20)). Let g = z - -21. Let x(d) = -4*d**2 + 173 + g*d**2 - 173. Let o(y) = 5*y. Determine o(x(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 11*z - 4*w + 13 = 0, 0 = -3*z - 2*w - 11 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - 3*n**5 + 2*n**5 + (-281 + 281 - 36*n)*(2*n**4 + 3 - 3).\nAnswer: -70*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71 and 7762.\nAnswer: 551102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2069.108 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:57 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/397 + 52031\/2382. Let l = 1353\/5 + -267. What is the common denominator of p and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgg when three letters picked without replacement from gggp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -145, -220, -297, -376, -457, -540?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43500897 less than 0.536494?\nAnswer: 43500897.536494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -86, -82, -78, -74?\n\"Answer: 4*w - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**3 + d**3 + d**3)*(1 - 5 - 2)*((4 - 1 - 5)*(2 + 1 - 4) - 30 - 32 + 137) as q + s*d**2 + n*d**3 + t*d and give n.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -96*y**3 - 91*y**2\/2 - 192. Find the second derivative of a(p) wrt p.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-294)\/(-252)*8\/14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrkrjkkrrrddkrr. Give prob of picking 1 r and 1 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-12)\/(-90) + 1209\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20871566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**4 - 6*g**3 + 6*g**3 + (0*g**2 + 0*g**2 + 3*g**3)*(g - g + g) + 88*g**4 + 65*g**4 - 85 - 157*g**4.\nAnswer: 4*g**4 - 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*f - 1 = 0, 0 = 6*l - 2*l + 4*f - 4. Suppose 5*h - 46 - 109 = 0. Suppose h - 95 = -l*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 464 + 1484 = -3*m, 3*f = -m + 3090. Let s(a) = 8*a**2 - a**3 - 4 + 1026*a - f*a - 3*a**2. Suppose d - 6 + 2 = 0. Calculate s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**3 - 95*p + p**2 + 49*p + 47*p. Let g be (9\/(-2))\/((-10)\/(-60)). Let l = -28 - g. Calculate z(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -145? (a) 0.02 (b) -2\/5 (c) 5 (d) 2 (e) -0.012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -b + 242, -9*u + 14*u + 2*b - 604 = 0. Let z be (751000\/u)\/((-2398)\/2400 + 1). Round z to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34234 (base 5) in base 6?\nAnswer: 15152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32383 and 159718?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 803.4 - 803. Let u = -4 - -4.6. Let y = u + -0.1. Is b smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, 3 in decreasing order.\nAnswer: 3, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 64 * -6\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4511 - -1?\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3003, -6667, -10331?\nAnswer: -13995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 45*l + 653. What is w(-16)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 13) in base 10?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*c = 6, -b = -0*c + 5*c - 12. Solve -b = l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59056 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/15 + 8538\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - d - 381*d**3 - 1627*d**3 + 28278*d**3.\nAnswer: 26270*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -7\/5, -0.3, 0.2, -0.4, -25, 4\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.861 + -17.861. What is the closest to -2\/7 in t, 2\/15, 0.3, -40?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/126 + (-349998)\/(-14) + 0. What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 832 = -490 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7862 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 14*m**2 + 7*m - 9. What is the units digit of i(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7 + -2.4. Let q(u) = 2*u**2 - 4*u - 4. Let l be q(5). Which is the closest to 0? (a) l (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44087421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 1, w: 1, x: 1, c: 1}. What is prob of picking 3 w and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 + 558. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/6)\/(-4))\/((1728\/(-16))\/2268)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6391*f**2 - 468*f**2 + 334*f**2 - f**2 + 2*f**2 - 2*f**2 + (4 - 4 - 2*f)*(f - f + 3*f).\nAnswer: -6532*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7288\/10923 + -2\/3641. Let j be ((-6)\/(-54))\/((-2)\/(-4)). Let -x*a - 4\/9 - j*a**2 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r + 5. Let i(t) = t + 1. Let h(o) = -o + 2. Let g be h(-3). Suppose -5 = 2*d - 3. Let f(n) = d*v(n) + g*i(n). Let k(z) = -5*z**2. What is f(k(a))?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -323*h**3\/6 - 599*h. Let u(z) = 3*z**2. What is u(d(v))?\nAnswer: 312987*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-6*(sqrt(133) + sqrt(133)*-1)*-5)\/(sqrt(35)\/((sqrt(80)\/sqrt(4))\/sqrt(4))))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938372620.\nAnswer: 2, 5, 701, 66931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 70a - -4?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 52 = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(216)*-1)\/sqrt(9))\/(5*sqrt(96)\/sqrt(8)))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**2 - 2*m + 35*m**2 - 18*m**2 + 0 - m**2 + 0 + (-3 + 6 + 2)*(-5*m**2 + 6*m**2 + m**2) - m + m + m**2 to the form x*m**2 + c*m + t and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, u: 11, f: 1}. Give prob of picking 1 u and 1 f.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6235 divided by -1.\nAnswer: 6235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - t + 0*t + 0*t - t - 3*t + (-1 + 3 - 5)*(2 - 2 + t) + 2*t - 4*t + 0*t + 3 - t - 4 - 1.\nAnswer: -12*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**8\/42 - 11*x**5\/60 - 4*x**2 - 7*x. Let i(o) be the first derivative of z(o). What is the third derivative of i(p) wrt p?\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v - 6541 = 2699. What is the highest common factor of 385 and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*p + 3*q + 27, 2*p = 5*q + 33. Let g be p - (-25)\/(8 - 3). Let s(k) = -2*k + 20. Let x be s(g). What is the highest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 5:51 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 1, l: 1, o: 2, e: 2}. Give prob of picking 1 w, 1 o, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7423 * 2320.\nAnswer: 13322.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-14) + 16\/(-16)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 986 and 2204?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 3, b: 1, v: 3, u: 9, n: 2}. What is prob of sequence nnj?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2256*v + 2429*v - 1996*v + 924*v.\nAnswer: 3613*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002706 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 20 = -r. Let x = 4 + r. Let j(z) = -12*z**2 + 1. Calculate j(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 959718, 1919443, 2879168, 3838893, 4798618, 5758343?\n\"Answer: 959725*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943084 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Solve -z = -p, 3*p - 14 = 2*k - 2*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51736 divided by -2279.\nAnswer: -51736\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -0.0404.\nAnswer: 0.1596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/6*((-48)\/(-20) + -3). What is the nearest to -4\/3 in r, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + y**3 + 3*y**3 - 8*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -552992?\nAnswer: -552995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2242, 7744, 16540, 28630, 44014, 62692?\nAnswer: 84664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -22. Let p = -1\/13 - -17\/52. Sort -3, b, p in ascending order.\nAnswer: -3, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*v**3 + 59866 - 59866 + v**2.\nAnswer: -55*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -357.61?\nAnswer: 353.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029943 to the power of 1\/2, to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -113 - 119 - 113 + 346 + 12*k. Let q(y) = 4*y. Determine m(q(b)).\nAnswer: 48*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**2 + 3*p - 63. Give d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -314, -631, -952, -1277?\n\"Answer: -2*l**2 - 311*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -22*h - 80. Let m be 3\/h + ((-705)\/140 - -5). Let a = -0.03 + -3.97. What is the third smallest value in 4, m, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 - 19\/12*n**4 - 5\/56*n**8 + 0*n**7 + 0*n**2 + 0*n**6 + 0*n**5 + 10*n + 0*n**3. Find the third derivative of s(z) wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 666495 and 0.041.\nAnswer: 27326.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743950 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -47269*u**3 + 9*u**2 - 35*u - 10. Let w = -481 - -487. Let h be f(w). What is h rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -222*v**2 - 7*v - 19*v + 74*v + 98*v. Let i(y) = -112*y**2 + 73*y. Let t(w) = -5*i(w) + 3*l(w). Find the second derivative of t(a) wrt a.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(70*j**2 - 22*j + 22*j)*(3 - 2 + 0).\nAnswer: 70*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11556870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 9*b**3 - 10*b**3 + 17*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 8. Suppose -b = 5*b - 18. Let y be d(b). Does 27 divide (-73)\/y - 20\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1517139098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86.379799 - -90.3798. Let j = v - 4. What is j rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -7*x**4\/8 + 107*x**2 + 5*x. Let b(m) = -21*m. What is d(b(l))?\nAnswer: 441*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 4*h, 0 = -h + 4*n - 3*n. Solve l + 12 = -h*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v - 4*u + 7, 5*u = v - 16. Let t(r) = -77*r. What is the units digit of t(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 277, 544, 799, 1036, 1249, 1432, 1579, 1684?\n\"Answer: -w**3 + 274*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, j: 7, m: 1, l: 5}. What is prob of picking 2 j and 1 m?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.26 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/5)\/(3\/20). Let c be l\/12*-3*1. Suppose 54*q = 46*q + 40. Sort q, -3, c in ascending order.\nAnswer: -3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 31*q**3 - 4*q**2 - 2*q - 5. Calculate y(-3).\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145916 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 135\/4?\nAnswer: 135\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 347016, 5 in decreasing order.\nAnswer: 347016, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672 take away 267?\nAnswer: -2939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 7*o - 2*o + 17*o + 31, -34 = -p + 5*o for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110089 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 5:41 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2107)\/1505*(-5)\/175*0. Let q = 20 + -79\/4. Factor 3\/2*m + q*m**2 - 3*m**3 + l + 5\/4*m**4.\nAnswer: m*(m - 2)*(m - 1)*(5*m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321059970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17412.30986895 and 0?\nAnswer: 17412.30986895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 885 + -1.\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(-5\/8)*(s*(s**(4\/9)\/s*s)\/s)**(-4\/7) assuming s is positive.\nAnswer: s**(-1\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 92\/6 + (-1)\/3. Suppose 2*b - 4*w - 58 = 0, -5*b + 2*w + x + 130 = 0. Let r = 198 + -113. Calculate the remainder when r is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2210467, 2210777, 2211087?\n\"Answer: 310*k + 2210157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426047669 rounded to the nearest 1000000?\nAnswer: 2426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/8751 and 49\/19?\nAnswer: 166269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -18. Let s(j) be the first derivative of -j - c + 4 - 3*j**3 + 0*j - 4. Determine s(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 2*o**2 - 11*o + 7. What is q(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Suppose c*y - 2 - 2 = 0. Suppose u + 4 = -4*v, 0 = 5*v + 11 - y. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1439*l + 4121*l = -1667*l - 533*l + 205044 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/8)\/(285\/(-152))*(1 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(70) - sqrt(70) - sqrt(70))*3)\/(4*-5*(sqrt(50)\/sqrt(5) + sqrt(10))).\nAnswer: 9*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3420 and 107\/1692.\nAnswer: 160740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*r - 2, 61*p + 4*r + 4 = 65*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 3*a**4\/4 - 2*a**3\/3 - 4*a**2 - 2*a + 4. Let v be g(4). What is the highest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 3*n**3 + 3*n**3 - 15*n - 11*n**3 + 10*n + 3*n + (4*n**2 + 0*n**2 - 3*n**2)*(-3*n + n + 3*n).\nAnswer: -12*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -61*s**2 + 67*s**2 - 4 - 27*s - s**2. Let i(y) = 2*y**2 - 10*y - 1. Let l(f) = 8*i(f) - 3*z(f). Give l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1373987\nAnswer: 686993.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(216)\/(sqrt(8) + (2*sqrt(8) - sqrt(8))))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 + 24009*g**4 - 530139*g**3 - 3924645*g**2 - 3370500*g = 0.\nAnswer: -8025, -5, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13178.17 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37651 and 20254601?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1190*k**2 - 2*k + 1. Let o be q(1). Let z = o + 2840. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111301 is divided by 4975?\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1735144452 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 198099, 396189, 594279?\n\"Answer: 198090*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + h**2 + 93*h**3 + h**2.\nAnswer: 93*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:28 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1201111120010?\nAnswer: 1201111120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1143 and 7.\nAnswer: 8001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4423*q*s**6*t - 3*q*s**4*t - 2*q*s**2*t + 152*q*t - s**2*t - 4*s**2 wrt s.\nAnswer: 530760*q*s**3*t - 72*q*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -48*l. Let c(g) = -4*g - 4*g + 3*g + g. Determine c(f(v)).\nAnswer: 192*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*h**2*l*u**3 + 3*h**2*l*u - 2*h**2*u**2 - 2*h**2*u - 874044*h*l*u**3 + h*l*u**2 + 7*h*u + 3*l + 23*u**2 wrt u?\nAnswer: 150*h**2*l - 5244264*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.62922552 rounded to two decimal places?\nAnswer: 113.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 14159*s - 14160.\nAnswer: (s - 14160)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*d**4 - 88198*d - 87362 - 45357\/2*d**2 - 211*d**3 = 0 for d.\nAnswer: -209, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 16893?\nAnswer: -168a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = d + 4*r - 22, 2*d + 18 = 4*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10150 at most as big as 17366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a**4 + 5*a**3 - 16*a**2 + 5*a - 5. Let d(z) = -z**4 + z**3 + z - 1. Let b(r) = -5*d(r) + m(r). What is the third derivative of b(o) wrt o?\nAnswer: 408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.16 (c) 257 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 3)\/(3\/1296). What is the lowest common multiple of 2\/(-7) + u\/42 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9339, -74002, -249519, -591318, -1154827, -1995474?\nAnswer: -3168687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/5 - 4*r**4\/5 + r**3 - 2*r**2\/5.\nAnswer: r**2*(r - 2)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3546636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/9 and -20\/7443.\nAnswer: 7443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31 and 19\/2889086.\nAnswer: 2889086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 20. Let d(a) = -a - 1. Let o be d(v). Suppose -2*x - 12 = 4*c - 4, -1 = 4*x + 3*c. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 176, 8, -5 in decreasing order.\nAnswer: 176, 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 250\/(((-15)\/(-500))\/(-12*1114)). Round f to the nearest 1000000.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1710 + 1714. What is the nearest to -25\/3 in g, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106891330 a multiple of 5945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -54*x**2 + 381*x - 11. Let l be w(7). What is the highest common divisor of l and 39030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13735511 and 144808.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from vvtvvttttvttvttv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -3710?\nAnswer: -3709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, e: 8, n: 2, k: 1}. What is prob of picking 2 y and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 10:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5878 - 5877) + (-1 - -2 - 30).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*(3 + 2 - 3) + 3*w + 5*w - 5*w + (1 - 1 + 1)*(2*w + 4 - 4) - 6*w - 20*w + 12*w - 3*w - 4*w + 2*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:22 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55.5*-21.688\nAnswer: -1203.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5204 times -2.18\nAnswer: 11344.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = -4*a - 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 305*m**2. Let a(j) = -j**2. Give a(y(k)).\nAnswer: -93025*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1696640 and 40.\nAnswer: 1696640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2067*t = -2060*t - 469. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187 + 250. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + -276530?\nAnswer: -276573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 + 150*a**3 - 2731482*a**2 - 60136406*a - 330820776 = 0?\nAnswer: -1196, -11, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189055 or -189064?\nAnswer: -189064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:22 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 5 - a + 9894*a**2 - 9871*a**2 in the form z*a**2 + n*a + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:05 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012328619 to seven dps.\nAnswer: 0.0012329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v + 12 - 5*v + 4*v - 4*v. Let m be o(-11). Let c = m - -51. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 8:27 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 31*i**2 - 35*i - 8. Let z = -125 + 121. Let c(v) = -31*v**2 + 36*v + 10. Let l(u) = z*c(u) - 5*o(u). What is the second derivative of l(d) wrt d?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57318 and 76137?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-6) + -3 + (-10)\/(-3). Suppose -2*i + 4*a + 7 = -i, -3*i = f*a - 69. What is the second derivative of -r**4 + r**4 - 14*r + i*r**5 + 4*r wrt r?\nAnswer: 380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -3. Let k(r) = r**3 - 3*r**2 - r - 9. Is k(j) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 3. Let z be o(1). Suppose -3*y = -z*y + 4. Let j(f) = f - y*f + 8*f + 1. Let t(q) = 15*q + 2. Determine 13*j(x) - 6*t(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 6*m + 9. Let a be (-5)\/(-15) - 13\/3. Let i = 5 + a. Let q(y) = -y**2. Let g(r) = i*k(r) - 3*q(r). Factor g(w).\nAnswer: (w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008302447322 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 178?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1964925 and 1435?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 68 = -3*n, c + 2*n - 17 = 5. What is the lowest common multiple of c and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**36*j\/(j**18*j))\/(j\/j**(-17))**(8\/19) assuming j is positive.\nAnswer: j**(217\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 138247613, 138247612, 138247611, 138247610, 138247609, 138247608?\n\"Answer: -d + 138247614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 28.7336km?\nAnswer: 2873360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14453775 and 6?\nAnswer: 5.85546225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Suppose -5*j + q*t = -16, 4*t = -t + 5. Let r(f) = -3*f**2 + 5*f**2 - j*f**2. Let i(d) = -3*d**2. Give r(i(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 80. Suppose -2*u - 11 = -n. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**10*k)\/k)**9 assuming k is positive.\nAnswer: k**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 417 = -x, 2*z = -2*z - 2*x + 336. Let l = -18 + z. Suppose 3*m + 9 = -f + l, -2*m + 43 = -5*f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = -0. Let u be (-4)\/2 - (v - 7). Suppose w = -u*d - 11, -16 = -w + 4*d + 5. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/3)*n**(15\/2))**(5\/6) assuming n is positive.\nAnswer: n**(245\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 1 - 1*2\/2. Which is smaller: g or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/8)\/(3\/24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/112)\/1*(-14)\/70.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 8 (b) -1\/4 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**3*l**2*z**3 + 38*f**3*l**2 - 16*f**3*z + 16*f**2*l + 14*f**2*z**3 + 6*f*z - 6*l**2 wrt l.\nAnswer: 30*f**3*z**3 + 76*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:38 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2605 + -12644?\nAnswer: -10036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q + 1. Suppose -z - 4*v + 23 + 285 = 0, -1561 = -5*z + v. Let o = z - 314. Calculate k(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021323 - 0?\nAnswer: 1021323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -27. Let q(x) = -177 + 177 - k*x. Let l(h) = 2*h. What is q(l(u))?\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12169*n + 3. Let l(a) = 14*a**2 + 22*a. Give u(l(r)).\nAnswer: 170366*r**2 + 267718*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 4*y + 34322. Give u(132).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u + 112 = 4*u. Solve 42*j + u = 34*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, p: 7, r: 4, u: 4, j: 2}. What is prob of sequence purp?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/2 + 33*k**3\/2 - 143*k**2 + 96*k + 256 = 0. Calculate k.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 234032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 516*h - 177*h - 879027. Does 65 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {f: 17, j: 2}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 299)*(-6 - (-8 + 1)). Let r = b - -672. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (2 + (-17)\/(-2)). Let s = i + 9. Let z = 0.4 - 0. What is the closest to 0.2 in z, -0.3, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/14*7\/((-392)\/(-16))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/(-2))\/(20\/(-120)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q. Let s be w(-2). Let c be 1200\/14 - (-2 - 24\/s). Suppose -c*o - 42 = -89*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2906 - 2905. Solve 0 = 4*w - 5*r - 9 + 7, 4*r + t = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, m: 7}. What is prob of sequence km?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5689\/7294 - -3\/521. What is the common denominator of 82\/(-123) - (-35)\/12 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = l + 8, 3*n + 5*l = 7*n + 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - 3*m - 5. What is d(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 117 + 56)*(-2*n**2 - 2*n**2 + 2 + 3*n**2) to c*n**2 + t + k*n and give c.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 9*m + 108. Let k be (-6)\/m*(-6)\/(-32). Suppose 15*v = 3*v. Do v and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - 3904\/176. Does 11 divide ((-57)\/(-38))\/((-3)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2176855, 4353707, 6530559, 8707411, 10884263?\nAnswer: 13061115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1231059 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.96, 0.1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:40 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -10, 0.3, 13.\nAnswer: -10, 1\/8, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 3*o + 6*o)*(151 + 17 + 30) as z + f*o and give f.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(3\/8)*g\/g**(-1)*(g\/(g**0*g))**(-17) assuming g is positive.\nAnswer: g**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((-59)\/5 - -12). What is the closest to -3 in -1395, y, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k + 206. Let r be q(-14). What is the tens digit of 36\/(r\/(-104 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*q + 2. Suppose 0 + 4\/5*g + 2\/5*g**q - 2\/5*g**3 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -83*t**3 - 3*t**2 + t + 2. What is m(-1)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 12399992 - (0\/1)\/(-1). Suppose 4*p = 4*d - i, -3*p = -4*d - 5*p + 12400006. Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -1\/5 (c) 9 (d) -363\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let k(y) = 228*y**3 - 3*y**2 - y + 1. Let q be k(v). Let w = q + -2567. What is w rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 52. What is the lowest common multiple of o(23) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2604)\/126 - -20)\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2200805 is divided by 4967.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**4\/2 + m**3\/6 + m**2\/2 - 2*m. Let g = 7110 - 7048. What is the lowest common multiple of g and b(-1)?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 - (-123 - -107).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Suppose -49 = 4*g + 3*g. What is the remainder when 17 + (6 - 2) + g is divided by z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 198278388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173330649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 12:16 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 6\/37, -3\/5?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h**2 - 1. Let o(l) = -8*l**2 + 84. Determine x(o(z)).\nAnswer: -640*z**4 + 13440*z**2 - 70561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16884 divided by 2814\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -3 + (-8 - -1)\/(-1) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -43, 1\/3, -2, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:05 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 8:47 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 688, 962, 1220, 1456, 1664?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - 9 + 9)*(a**3 - 2*a + 2*a) + 12*a**4 + 38*a + 7*a**4 - 23*a**4 to the form w*a**4 + y*a**3 + o*a + b + v*a**2 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**4\/4 - 5*q**3\/3 - 3*q**2 - 3*q + 13. Let p be h(-4). Suppose p*v - 238 = -28. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23 + 7 + -3 + -7. What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7844, 24252, 49222, 82754, 124848?\n\"Answer: 4281*f**2 + 3565*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009914521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7753 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + r + 5. Let b be (-43 + 28)*(-2)\/(-5). Let f = -1 - 0. Let y = b + f. Calculate u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 3643 (c) -262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*((0*l**2 + l**3 + 0*l**2)*(0 + 0 + 1) + 6*l - 6*l + 4*l**3).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*j + 25243 - 25027 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*b = 27, 5*b = 4*x + 2*b - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/9)\/(64\/(-48)). What is the closest to 2\/5 in q, -1, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeiqiwiwiqqwye. Give prob of picking 2 w and 2 i.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1972 and 3016.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40 - -10?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.9 - 17. Let i = 0.0925 + 0.1075. Put i, -2, b in descending order.\nAnswer: i, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6049 and 1.5911.\nAnswer: -6047.4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 52 = -5*t, -s - 5 = 3*t - 33 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2652 * -8.1.\nAnswer: 21481.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 48*a**2 - 148*a + 121. What is the tens digit of k(53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 6. Let b be q(11). Let t = b - 3. Suppose 5*k - t*o = -0*o + 16, -30 = -5*k - 5*o. Solve 3*h = k*p + 6, -2*h + 3 = 5*p - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677181?\nAnswer: 3, 53, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = 0, 2*v + 45 = -3*v - 3*s. Let z(g) = -9*g - 14. What is the tens digit of z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 710 + -703. Let i be d + -10 - (4 + -339). Calculate the highest common divisor of i and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3.1, -0.3 in descending order.\nAnswer: 3.1, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*-3)**2 + 0 - sqrt(343)) + sqrt(343)*2 + -2 + -5.\nAnswer: 7*sqrt(7) + 3080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*g**4 + 108*g**4 + 180*g**4 - 11*g + 71*g wrt g.\nAnswer: 1452*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2*v - 4. Let r be l(3). Let t = r - -6. Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 400*m**2 + 3685*m - 14520 = 0. Calculate m.\nAnswer: -11, 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(252)\/sqrt(4))**2) + -3.\nAnswer: -66 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i = -60. Let k be (-5)\/(-35) - i\/(-42). Let h = -0.04 - 0.36. Which is the nearest to -0.1? (a) 4 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1436? (a) -1\/13 (b) 3 (c) -478\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152 + 3522*y**3 + 38*y - 39*y + 7 + 4588*y**3 wrt y.\nAnswer: 48660*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + f**2)*(-6*f**3 + f**3 + 2*f**3) - f + 2*f**5 + f + (2*f**2 + 3*f**2 - 3*f**2)*(-3*f**3 - 2*f**3 + 4*f**3) - 4*f**5 + 4*f**5 - f**5.\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 68. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 10*g. Let l(y) = -11*y. Let d(q) = 6*h(q) + 5*l(q). Suppose 23*t - 7290 = -4*t. Let o(a) = 2*a + 270 - t. Give o(d(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-169)\/(-39) + (-2)\/6. Suppose -j + 5*j + 5*s = -365, -2*s = t*j + 362. List the prime factors of 6\/10*j\/(0 + -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -2, 8, 0 in increasing order.\nAnswer: -12, -2, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00188001 to 6 dps.\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 11. Let y = 6 + -11. What is the tens digit of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0141134 litres in millilitres?\nAnswer: 14.1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 + 6*x - 1. Let p be h(-6). What is the smallest common multiple of 10\/3*(5 - p) and ((-16)\/2)\/(2\/(-5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.5. Let z be ((-24)\/54)\/((-40)\/30). Which is the second smallest value? (a) x (b) -3\/8 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7355 + 7357. Sort -313, 1, n in descending order.\nAnswer: n, 1, -313","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 78*7\/((-1134)\/(-9))*-3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 103, 31 in decreasing order.\nAnswer: 103, 31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5686535 and -0.1?\nAnswer: 5686534.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 167*a**2 + 4.\nAnswer: 167*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnzpzpnnpnnppbnbnn. Give prob of sequence nbp.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**4\/4 + 2*u**3\/3 + u**2\/2 - 2*u + 668. Let a(k) = -5*k**3 + 11*k**2 + 5*k - 11. Give -4*a(v) + 22*w(v).\nAnswer: -2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 9, g: 5}. What is prob of sequence kl?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**3 - g**2 - g. Let q be (6 - 3)*30\/(-18). Let x = q + -7. Let v be (x\/3)\/(-4) - 2. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558309 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26900354 to 3 decimal places.\nAnswer: -0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - l - 3*l - 227*l**4 + 2*l + 217*l**4 - 2 + 2*l**3 to the form u*l + m*l**2 + d*l**4 + x + i*l**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1392*o**6*r + 1900*o**3*r - 3*o**3 + o**2 + 2*o*r - 6299917*o wrt o?\nAnswer: -167040*o**3*r + 11400*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -81*z**4\/4 + 72*z**3 - 183*z**2\/4 - 33*z - 3 = 0.\nAnswer: -1\/3, -1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkkmmmegkekemkxkgxgm. Give prob of sequence ggkx.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 813 divide 58293117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1373 - 0?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56609.26 - -57124. Let n = z - 510.7401. Let q = 4 - n. What is q rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -83*w**5\/60 - 125*w**3\/6 + 83*w**2. What is the derivative of a(p) wrt p?\nAnswer: -166*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/4)\/(7\/(-483)) and (129\/12)\/((-2)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520\/(-84)*5565\/3975.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + 3*sqrt(684))*1.\nAnswer: 3 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 146 = 261. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147 - -167)\/((-2)\/(-6)*-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2488938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 - -330634?\nAnswer: 330516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 54. What is the smallest common multiple of g(-30) and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 - 2280*r**3 + 389880*r**2 - 29630880*r + 844480080 = 0 for r.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 2 - (-317 + 333).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y - 8. Let v(q) be the first derivative of -q**2 + 3*q + 4. Suppose -3*u - 2*g - 31 = 0, -2*u + 3*u - g = -12. Calculate u*v(z) - 4*j(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47698, -380581, -1284114, -3043621, -5944426?\n\"Answer: -47554*m**3 - m**2 - 2*m - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -108a - -3?\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 95 = 3*g. Let x = g - -77. Solve -t = -x*r - 14, 2*r - 12 = 6*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 27800?\nAnswer: 27799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 64 (c) 2\/19 (d) 0.1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -9 + 4 + 3246\/(-7)*(-672)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*f**3 - 2*c*f**2 - 85*c*f - c - 62*f**2 wrt f.\nAnswer: 6*c*f - 4*c - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 6*w + 8. Let v be o(-6). Suppose -r - s = 2*s, -3*r + 5*s + 14 = 0. Suppose h - v = -r*h. Solve 0 = -h*p - p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.046 - -82.554. Let u = c + -15.6. Let b = -72 + u. What is the fourth biggest value in 0.3, 2\/21, b, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(13)*3*-6)**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 9) in base 16?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9)*(-9)\/(-2). Suppose u*v = -2 - 4, -v - 2 = s. Find the second derivative of -4*g - g**3 + s*g**3 + 6*g wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 433290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -15266260440 to the nearest 1000000.\nAnswer: -15266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 57*v - 23*v - 13*v - 19*v. Let t(w) = 7*w. Calculate 14*g(x) - 5*t(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 3347199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -395685, -791368, -1187051, -1582734, -1978417?\n\"Answer: -395683*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - f - 112, 0 = w - 2*f - 107. Calculate the common denominator of 2\/6*(3 - w\/(-138)) and 23\/14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, -2\/11, -6, 0.2, -1581\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*f*w**4 - 66*f*w**2 - 5*f*w + 2*f + 225*w wrt w?\nAnswer: 2376*f*w**2 - 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*a + 4*f + 8, 5*a - 3*f = 10. Let z(y) = -29*y**3 - y**2 - 3*y - 2. Let g be z(a). Solve 2*u + g - 1 = 5*h, u = -h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262\/15 - 2711\/120. Calculate the common denominator of -109\/14 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -701bc - 5?\nAnswer: -701c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 276772219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 77 - 14. Let y be -4 + (-9)\/15*l - 1. Which is the second smallest value? (a) y (b) -15 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.91 + 1356.09. Which is smaller: -2\/5 or c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -23*f**3 + 3*f**2 + 8*f + 7. Suppose 7*g + 226 = 1528. Let d be (-5 + g\/30)*5\/(-2). Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - x - 3*x)*(2 + 1 - 4)*(-5*x**2 + 4*x**2 + 4*x**2) in the form g + i*x**3 + p*x**2 + j*x and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from ssg.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134589 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100978, 101054, 101260, 101662, 102326?\nAnswer: 103318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k**2 + 4. Let h(t) = -15*t**2 - 41. Let m(v) = -16*v**2 - 30. Let x(q) = 3*h(q) - 4*m(q). Give 6*x(b) + 5*y(b).\nAnswer: 19*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -5026.\nAnswer: 5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -817 + 248?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1879, -3769, -5671, -7591, -9535, -11509, -13519, -15571?\n\"Answer: -w**3 - 1883*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -9, 2, -29, -19, 0.\nAnswer: -29, -19, -9, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*m + 267*m - 51*m**3 + 47*m**3 - 180*m.\nAnswer: -4*m**3 + 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4927977?\nAnswer: 3, 17, 31, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/s**3)\/(s**9*s\/s**(1\/15)) assuming s is positive.\nAnswer: s**(-2552\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1778*s + 12. Let l(g) = -1472185*g + 9940. What is -3*l(h) + 2485*q(h)?\nAnswer: -1775*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.2189+-42\nAnswer: -43.2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 366 + -201. Suppose 4*g = -3*m + y, -2*g = 5*m + g - 264. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/27 - (-5)\/((-45)\/66). Let g(y) = y**2 + 7*y - 1. What is g(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 22 + 47 = 7 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i**3 - 23*i**2 - 8*i - 19. Let c(w) = 63*w**3 - 66*w**2 - 23*w - 53. Let b(j) = -6*c(j) + 17*f(j). Find the second derivative of b(z) wrt z.\nAnswer: -126*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 321 - 90?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 311*r. Let y(f) = 4*f**2 - 4*f**2 + 9*f**2 - 11*f**2. Determine y(w(j)).\nAnswer: -193442*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30626896 times 0.3\nAnswer: 9188068.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 14. Let k be ((-2)\/l - 2)\/((-15)\/30). Find the third derivative of -150 - 4*a**2 + 150 - 11*a**3 - 6*a**k wrt a.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Calculate the lowest common multiple of (-3)\/(-9)*(-33)\/(-1) and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324049 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1ab?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, a: 2}. Give prob of sequence aa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x - 4*z, 5 = -3*x - z + 18. Solve 3*g - 15 = 0, -4*m + x*g + 4 = 32 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(8)\/sqrt(2)))\/sqrt(3)*3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176039741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 5, -3\/64640 in ascending order.\nAnswer: -3\/64640, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -766975 + 767005. Let -36*f - 16*f**2 - 2\/9*f**4 - h - 28\/9*f**3 = 0. What is f?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1490031 and 6.\nAnswer: 2980062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 123.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(78)\/(-2*sqrt(150))*-5 - (-2*(sqrt(130)*2 - sqrt(130)))\/(sqrt(40)\/sqrt(4)*-3)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-150))\/(902\/615).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.36977233 to 3 decimal places.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = 8. Solve -5*w + 3*v - 14 = 0, -2*v - 2*v = -r*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36809825 to the power of 1\/2, to the nearest integer?\nAnswer: 6067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.00945 + -4.28455. Let q = 3.21 + f. Let p = q - -1.1. Round p to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.9769km in nanometers?\nAnswer: 130976900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0 + 0*w**3 - 12*w**2 + 0*w - 5\/24*w**4. Let n(d) = 3*d**2 - 2. Let g(x) = x**2 - 1. Let h(y) = 2*g(y) - n(y). Give r(h(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + s - 15764, 2*s - s - 7880 = 2*p. Let h be -3 - (0 - (-39401)\/(-10)). Let y = h + p. Find the common denominator of y and 10\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/56 + (-3453)\/(-8). Suppose y = 3*a - 2*m, -576 = -2*a - 2*a + 5*m. Let z = 39 + -21. Calculate the greatest common factor of z and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (1 - 3)) + -6 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 7. Let z(w) = 1. Calculate u(f) + 6*z(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 35, 44, 51, 56?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/28*2 + (-8)\/(-28). Put l, 2, 0 in decreasing order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35677 + -2.7?\nAnswer: -4.05677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 24*m + 96. What is z(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10448542763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 386 = -6*q + 5*s, -5*s + 505 = 5*q. Let z = 106 - q. Solve 2*v + n + z = -0*n, 4*n - 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*o**2 - 319*o**2 - 321*o**2 + 964*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/2*((-2)\/(-12))\/(60*7\/336).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/24 - (-2)\/3. Let a = 24 + 98. Let q = a + -121.9. Sort 0.2, q, -5\/3, g in ascending order.\nAnswer: -5\/3, q, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104678 + -18032\nAnswer: -122710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -60. Let l = p + -39. Is (-7)\/l + (-19)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*l - l = 15, 4*l = 4*c - 20. Suppose -5*g - s + 10 = c, 0*g = -5*g + 2*s + 10. Solve g*z - 25 = 7*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 94*r**4 - 20923*r**3\/2 - 58189*r**2\/2 + 9294*r - 342 = 0?\nAnswer: -3, 2\/47, 1\/4, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 13 = -3*j. Suppose j*n = 16*n - 64. What is the smallest common multiple of n and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyyllyyyylll. Give prob of picking 1 l and 3 y.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274\/3 + -89. Let v be (-4384)\/17 - 0\/2. Let f = v - -258. Put f, i, -1 in descending order.\nAnswer: i, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 17619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*a - 20*a + 7*a to o*a + d and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 277 - 4*c**2 - 18*c - 68 - c**3 - 66 - 73 - 67 as k*c + x*c**2 + n*c**3 + r and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3))**(2\/31)*(i**(-2))**16 assuming i is positive.\nAnswer: i**(-2972\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 8738697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6266795*l**2 - 423*l + 1305 wrt l?\nAnswer: 12533590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 - -11 - ((20 - (-13 - 80)) + -13).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 7. Let q = -327 - -831. Let h = -498 + q. Give w(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -1 + sqrt(200) + -1 - -2*sqrt(200)*6)*-3*-5)**2.\nAnswer: -126000*sqrt(2) + 8820900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*z - z. Suppose -s - 4*o + 0*o = -28, o + 35 = 5*s. Calculate the remainder when ((-8)\/6)\/(s\/(-108)) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127323.\nAnswer: 11, 193393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173386807?\nAnswer: 11, 47, 151, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*x + 527*f**2*x - 531*f*x + 4*x wrt f?\nAnswer: -6*f*x + 1054*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 9*x**2 + 7*x - 6. Let g be a(-8). Let m be (8 + -12)*(-1)\/g. Suppose m*b - 17 = -7. Solve b*p - 4*p + 4*i - 14 = 0, 2*p = -2*i + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 172. Let f be (1*-3 - -2)*-45. Let s = v + f. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/168 and -29\/1176.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 552\/1883 - (220\/35 - 6). Let r = z + 209\/8070. What is the common denominator of 56\/9 and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -83. Suppose 3*z - z + 104 = t. Let v = z + 75. Calculate the remainder when 57 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -84 + 65 + (2 - -29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 779122879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 16.968. Let n = -0.218 - i. Round n to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127588.1 nanograms in kilograms?\nAnswer: 0.0000001275881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**3 - 864*z**2 - 1764*z + 6960 = 0.\nAnswer: -4, 2, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2392 and 9269.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71\/3 + -23. Let r be 6\/(-9) + (-14)\/(-3). What is p in -4\/3 - 2\/3*p**r + 2\/3*p + 2*p**2 - m*p**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*b - 28 = -3*b, b - 44 = -4*c. Let f(x) = 19*x**3 + 9*x**2 - 10*x - 8. Let k be f(c). Round k to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 6*l - 7. What is the remainder when p(-4) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023718729 to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l - 4*l**4 + 4*l**2 - 13*l + 6 - 3*l**2 - 3 + 2*l**3 to a*l**4 + i*l + f*l**3 + r*l**2 + p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 568 + (-10)\/(-5). Let b = f + -233. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -15. Suppose 0*b = x*b. Suppose -o + s - 6199998 = b, 0 = 3*o + 4*s + 22329054 - 3729046. What is o rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7481 + 107*o**3 + 7481)*(-1 + o + 1) - o + o + o**4 + (1 - 2 - 1)*(0*o**4 + o**4 + o**4).\nAnswer: 104*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 208098.5mm?\nAnswer: 208.0985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 1\/23 (b) -5 (c) 0.8 (d) 235 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + 2 + sqrt(2448)*1) + 5)**2.\nAnswer: 144*sqrt(17) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2 - 6. Let k be (-55)\/56 + 1\/1. Let i = 3\/28 + k. What is the nearest to 0.1 in i, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + sqrt(34) + (2*sqrt(2754) - sqrt(2754) - sqrt(2754)) + sqrt(34))\/sqrt(2).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 54884 = 318252. List the prime factors of i.\nAnswer: 2, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149\/148 - 9\/37. Let w = 1.067 + 2.933. Let i(q) = q**2 - 3*q - 2. Let n be i(3). Put t, w, n, 2.2 in descending order.\nAnswer: w, 2.2, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.27 * -121.\nAnswer: -2452.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from ydlktsk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2998 + 5832 = 2*f, -3*f = -i - 2205. Put 5, 2, i in descending order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 134*b - 283. Let k(t) = t**2 + 45*t - 101. Let q(y) = -3*i(y) + 8*k(y). Calculate q(-43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/((-16)\/(-4)))\/(3*1\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(0\/1 + (-43)\/((-1075)\/30))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43598040 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11984\/59995 + 3\/11999. Factor -n - 2\/5*x - 1\/5*x**2.\nAnswer: -(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 619224711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138.9304 + -139. Let d = 0.1243 + l. Round d to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + 1. Let c be x(1). Let d = -2 + c. Let p(o) = 5*o**2 - 3*o. Calculate the remainder when p(d) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 1048 - 20*v + 29*v.\nAnswer: -6*v + 1048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(5\/15*6). Solve j = -2*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/11 - 617*u\/11 - 99750\/11.\nAnswer: (u - 750)*(u + 133)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.1, -3\/20035, -5, 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + l)*(-2 + 1 + 4) + 5*l + 3*l - 4*l + 0 + 2*l + 0.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224031 (base 6) to base 2.\nAnswer: -100101001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 281 + 3*f**4 + f + 5*f**3 - 283 - 2*f**2 to the form c*f + t + q*f**2 + n*f**3 + w*f**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -384052*p**5 - p**3 + 262678*p wrt p?\nAnswer: -7681040*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 6*n**2 - 2*n**2 - 3*n**2 + 2*n**2 - n**2 + (-8 + 8 + n)*(-21*n + 10 + 40*n - 13*n).\nAnswer: 7*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21 and 1720517?\nAnswer: 1720496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5064*m**3 - 19*m**2 + 2*m + 449636?\nAnswer: -15192*m**2 - 38*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1035)\/140*(-2)\/3 and -119\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 9*w + 5. Let m = -378 - -379. Let u(b) = -2*b - m - 4*b + 2 + 4*b. Determine -2*h(y) + 9*u(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {t: 1, l: 1, f: 1, h: 2, d: 2, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.505059 millilitres to litres.\nAnswer: 0.001505059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/5, 0.19, 838, -18\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*u - 6*o + 12 = -309*u, 4*u + 21 - 7 = 20*o - 2*o + 4*o for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 111 = -148. Let i be -37*(-5)\/(3 - -2). Calculate the greatest common factor of z and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1197*g**2 + 433*g**2 + 432*g**2 + 356*g**2.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -32. Let l(q) = -8*q**2 + 18*q + 2*q**2 - m*q**2. Let j(k) = -6*k**2 + 5*k. Let p(c) = 18*j(c) - 5*l(c). Let y(w) = w**2. Determine p(y(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583478*s - 583484*s - 600 = 0 for s.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let s(a) = -59*a**2 + 7*a. Let m(z) = -120*z**2 + 12*z. Let l(j) = -4*m(j) + 7*s(j). Calculate l(t(v)).\nAnswer: 67*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 425*i - 2688. Determine b(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 8*o = 36. Let u be o\/56 + 3\/(-6). Which is bigger: -13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 4. Let a be i(-2). Suppose -a*n + 4 = -4. What is the third biggest value in 2\/13, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 12*p**2 + 10. Let c(m) = -21*m + 306. Let x be c(14). Let l be d(x). Calculate the greatest common factor of l and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105.99155 - -106. Round l to four dps.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729*h**5\/4 + 243*h**4\/2 + 1026*h**3 + 20*h**2 - 1700*h - 1000.\nAnswer: -(h - 2)**2*(9*h + 10)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -9483798?\nAnswer: -9483791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 96615\/678 - 513\/18\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + 2*t**2 + t**3 + 3*t**2 + 0*t**3 as p + j*t**2 + y*t**3 + q*t and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428141 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/5)\/(45\/(-75)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let r(g) = -10*g - 3. Let p(x) = -2*j(x) + r(x). What is the tens digit of p(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*t**2\/2 - 32003*t\/2 - 4645095.\nAnswer: -(t + 3237)*(9*t + 2870)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6\/1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - n - 171 = 168, 5*n = 5. Calculate the highest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(5\/(-15)). Sort -1, b, 5.\nAnswer: -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39874 < 39876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 880\/(-48) + 18 - ((-15)\/20)\/(126\/(-256))?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -2, -1\/14, 11, 0.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11231, -11251, -11279, -11321, -11383, -11471, -11591, -11749?\nAnswer: -11951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 650\/130*280\/14*-2*(-3)\/(-15).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -185.94 * 7.\nAnswer: -1301.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2, -9*r + q - 61 = -14*r. What is the greatest common divisor of 102 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 = -z + j, 5*z + j - 95 = 0. Let d(u) = 2 - 6 + 70*u - 72*u + 2*u**3 + z*u**2. Is d(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -17.6. Let v = n - -3. Let b = -728\/15 + 146\/3. What is the nearest to -2\/7 in v, b, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 3*a + 5 + 83*a**2 - 11 - 2*a**3 - 85*a**2 to the form o*a + t*a**3 + c + x*a**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-98)*(-7)\/(-6). Let w = 21.2 - 21. Which is the third biggest value? (a) -3\/4 (b) -6 (c) w (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k**4 + 950*k**3 + 33353 wrt k.\nAnswer: -24*k**3 + 2850*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.009 + -0.136. Round v to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 24 = -4*b, 0 = -4*b - 16. Suppose d = f*a + 4, 5*a - 8 = -d + 6*a. What is the highest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 4*i + 54. Let c be g(8). Suppose 4*y = -0*x + 3*x - 251, 2*y = -4*x + c. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 925 = 12*a. Let b = a - -316. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340818527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*i + 145*i + 3057 = 4*f, -2*f = -4. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8521846 divided by -10.\nAnswer: -4260923\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 4*i**2 - i + 3. Let f be h(-4). Find the second derivative of -106*n**3 + 9*n + f*n**5 - 109*n**3 + 215*n**3 wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 4 = -40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-7)*7 + 11709*-1. Let i = b + 526793\/45. Find the common denominator of i and 23\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7424 * -72509.\nAnswer: -538306816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - k = -100, 0 = -3*d + 5*k + 382 - 66. Suppose d = 8*j - 74. Solve 2*n = 2*q - 6, 0*n - n - 4*q + j = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9562, -4 in descending order.\nAnswer: -4, -5, -9562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 2418?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5156, -10339, -15520, -20699, -25876, -31051?\n\"Answer: q**2 - 5186*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 15 + 3*w + 11.\nAnswer: 3*w - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 4*c + 1. Let b be j(4). Let v = b + 1. Suppose -l = -4*o - 20, v*o = -l + 3*o + 5. Solve l*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + q = 6*q + 37, 10 = j + 4*q. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p*z**2 - 232*p*z + 230*p + 3320*z**2 wrt p.\nAnswer: -z**2 - 232*z + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqoovnnvnnenhe. Give prob of sequence vv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*a**2 + 412*a**2 + 429*a**2 - 172*a**2 + 2700*a**2 + 7738*a**3 wrt a.\nAnswer: 46428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + 11. Let x be (-15)\/(-35)*g*(-14)\/3. Is x at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r + 58. What is u(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -7 - -4) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24 + z - 1858*z**4 - 39 + 1894*z**4 wrt z.\nAnswer: 144*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 13*b**2 - 64*b + 514. Give f(13).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-9))\/(1\/(-12)). Let v = t + 8. Suppose 0 = 2*m - v*m - 6. Is 4 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 66*m**3 - 4*m**2 + 4*m + 3. Let b(a) = -67*a**3 + 6*a**2 - 6*a - 4. What is -2*b(q) - 3*j(q)?\nAnswer: -64*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110100101110111 - 10001?\nAnswer: -1110110100110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 + 60*x + 807. Calculate c(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evds when four letters picked without replacement from {d: 2, s: 2, h: 2, v: 2, e: 4, o: 2}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*n = -0*n - 57, -3*p = 4*n - 83. Let z = -6769 - -6799. What is the least common multiple of z and p?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 52, 1, 8 in increasing order.\nAnswer: -7, 1, 4, 8, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**2 + 59*k. Let y(r) = 4*r. Give y(s(a)).\nAnswer: 36*a**2 + 236*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 80. Suppose -p + 1 = -c. Suppose p*m = 3*v + 11986, -v = -m + 2*m - 6003. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 51. Let v(s) be the third derivative of -s**6\/24 - s**5\/30 + s**3\/6 + s**2. What is v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t - 5*v + 18329990, v = 3*t - 18330002. Round t to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/(-40)*(-40)\/(-12). Solve 0 = -f - 0*f - j + 2, z*f - 2*j - 14 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - q**5 + (2*q**3 - 3*q**3 + 0*q**3)*(-3*q + 3*q + 2*q**2) + 260*q**4 + 122*q**5 - 260*q**4.\nAnswer: 119*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1381.49\nAnswer: 138.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848 = 3*f + 4*f. Suppose 4*w - w - f = 0. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160 - 3*k + 179 - 135*k - 77*k - 13*k wrt k.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-2))\/(10 + -29). Let x = 16.19 + -15.99. Which is the biggest value? (a) x (b) 0.1 (c) 3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (17*-2 - 1). Let f = -19 - y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 5}. What is prob of sequence ydy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 0*q + q + (3 + 1 - 3)*(3*q - 9 + 9) + (2*q - 4*q + q)*(2 + 1 - 2) + 1 - 1 - q + (4 + 1 + 3)*(4 - 4 - 2*q) to k + g*q and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96\/5*v**3 + 0 + 26\/5*v**4 + 72\/5*v**2 + 0*v + 2\/5*v**5 = 0. What is v?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 18*b + 17. Let c(v) = -19*v - 5. Determine 4*c(f) + 5*l(f).\nAnswer: 14*f + 65","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:43 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 - 49*d - 138. Let i be c(-3). Solve -g + 19*g = i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6109*a**4 + 69*a**2 - 316*a**2 + 6646*a**4 wrt a.\nAnswer: 12888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 435073?\nAnswer: 435073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179927620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*q - 12485 = 64*q - 297*q + 4623 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.35 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 993 - 4129 - 19*z + 12*z.\nAnswer: -7*z - 3136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2655 or 1074.3?\nAnswer: 2655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 295\/(-100) + (0 - -3). Let a(o) be the third derivative of 0 + 1\/2*o**3 - z*o**5 + 0*o**4 + o**2 + 0*o. Differentiate a(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 515 + -512. Suppose -m - 84 = l*y - 426, 4*m - 1401 = -y. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 - 0 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 + 15*n**3 + 8*n**3)*(4*n + 3*n - 5*n + 185 - 185).\nAnswer: 34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/(6\/(-9))*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/7 (b) -2\/15 (c) -68\/5 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + 13 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27292 - 27281. Solve -3*k + 16 = -5*j + p, -2*k + 14 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/96*-3*(-16)\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16*n**3 - 7*n**2 + 14*n + 1. What is l(2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*s - 8, -5*n - 1 = -2*s - 4*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 475 - 1061. What is the smallest common multiple of a and 14?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/4)\/z*((z**(-9)*z)\/z)\/z*((z**(2\/23)*z)\/z)\/z*z**(1\/10)\/z*((z*z\/(z\/z**(-13)))\/z**3)**49 assuming z is positive.\nAnswer: z**(-343879\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 24*p**2 - 326*p - 10. Let d be m(14). Is 918\/7 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 - 8*d + 6. Let z = 1070 - 1061. Determine l(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 - 543*f + 355. Give g(59).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u = -7*u. Suppose u = -23*f + 22*f + 12. Solve -3*r = -f - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + (-7)\/(-2). Solve w + t = -3*z - 4, 0 = 4*w - 5*z + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/8336 + 170905\/2325744. What is the common denominator of 107\/806 and t?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -245279\nAnswer: -1226395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g - 24. Let u(b) = 30*b - 71. Calculate -8*f(k) + 3*u(k).\nAnswer: 10*k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145936348.\nAnswer: 2, 53, 688379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/(-6) - 12\/24)\/1. Determine q, given that 0 + 0*q + s*q**3 + 2\/3*q**4 + 2\/3*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 28. Let o(c) = -2*c**3 - 17*c**2 + 9*c + 5. Let f be o(j). Let l be -1*4 + 2 - -2. Solve 4*q + q - f = l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033648 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 1554092*q - 59054052 = 0. Calculate q.\nAnswer: -1554054, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from tjsjdjudjtd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 9) in base 13?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:57 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/791 + -1548\/13447. Sort 2\/11, h, -1 in ascending order.\nAnswer: -1, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41\/15 + -12\/5. Let j(z) be the third derivative of 0*z**5 + 0*z**6 + 1\/70*z**7 - x*z**3 + 0*z**4 + 0*z + 0 - z**2. Differentiate j(y) wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34220 - 4031?\nAnswer: 30134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 391 and -16.1965.\nAnswer: -6332.8315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1220 in -1496, 2\/7, -3, 2?\nAnswer: -1496","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 divided by 675?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1943 and 406.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 14*y**2 - 8*y - 5. Let p be l(12). Let w = -322 - p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 32*b + 98. Determine t(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**4*(y*y**(-1\/4))\/y)\/((y**(-4\/3)*y*y)\/((y**(1\/6)*y)\/y)))**(-3\/25))**33 assuming y is positive.\nAnswer: y**(-1287\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 6:07 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*w - 2 = 4*w, -3*y + 3*w + 18 = 0. Let n = -2 - y. Let j = -3200\/13 + 246. Which is the closest to -1\/3? (a) j (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3315)\/(-12168) - (-3)\/180*(-20)\/8?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31210 + -33?\nAnswer: -31303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 76*n - 166*n + 48*n + 44*n. Let a(m) = -2103*m. Give z(a(b)).\nAnswer: -4206*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r*r)**33*(r**(-1\/4)*r*r)**(-34) assuming r is positive.\nAnswer: r**(-251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -3 - (-6 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 1. Let p be c(1). Find the second derivative of 3*j + 0*j + 4*j - p*j**3 wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = d + 11 + 66, -2*d - 10 = 0. Factor 4*m**2 + j*m + m**2 - 16*m.\nAnswer: 5*m*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**7\/168 + d**6\/20 - 13*d**5\/80 + d**4\/4 - d**3\/6 + 5*d + 7. Determine m so that x(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 83 - 35)*(2*p**3 - p**3 + p**3).\nAnswer: 116*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 350943 or 350687?\nAnswer: 350943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 4*y**3 + 6*y**2 - y**2 - 8*y**2 to the form t*y + v*y**2 + m*y**3 + k and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1428 by 3.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/1293 - -114853\/20688. Calculate the common denominator of f and 9\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 313 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5.34423 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/18 + (-8)\/36. Let u be 10 + -14 - (-4 + j). Put 0, u, 3 in ascending order.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 27 = 5*b. What is the remainder when 41 is divided by 7*-6*(-3)\/b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**4\/12 + l**3\/6 - 3*l. What is f in r(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2327, 4641, 6957, 9275, 11595?\n\"Answer: t**2 + 2311*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 982 + 990 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 131723\nAnswer: -118550.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -1\/3*j**2 - 4*j + 13\/3 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 - -70. Let g = z + 78. Let t = 6 - -2. Solve -4*v - t = -g*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d + 16. Let h be a(-7). Let j = h + 52. Solve -4*m = -6*m - j*w + 5, -2*w = -2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 + 152\/36 - 1. Let i be (-35)\/26 - 15\/(-10). Sort r, 6, i in increasing order.\nAnswer: i, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 2, c: 1, o: 2, u: 1}. What is prob of picking 1 u and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + -5 + 0 + sqrt(363) + 3) + 5)**2.\nAnswer: 176*sqrt(3) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/20)\/(2\/1248). What is the highest common divisor of 832 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, -3, -4, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933.393 days in minutes?\nAnswer: 7104085.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.05 (b) -2\/47 (c) 2 (d) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -38 + 344. Suppose -u - 30 = -8*s. Is 41 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 31, 0.08, 1.4 in decreasing order.\nAnswer: 31, 1.4, 0.08, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1094\/5873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*o + 2*v - 201, -5*o = v + 167. Let d = o + 37. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 15*q - 4. Let h be i(-7). Suppose -3*w - w + h = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-19))\/(2344\/22268)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 1.12, -2 in decreasing order.\nAnswer: 1.12, -2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h**2 + 49*h - 9. Let o be g(3). Let x(p) = -2*p**3 - p**2 + p. Let s be x(1). Let m = o - s. What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 812\/111?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208884 and 7?\nAnswer: 1462188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 + (-8)\/(-3). Suppose n + t*n = 15. Solve n*x + 12 = -13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 796, 1348, 1900?\nAnswer: 2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.6 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 8 - 64. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*t + 308, -4*w + 4*t + 556 = w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115 + -1040?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, e: 1, x: 3, c: 3}. What is prob of picking 1 x and 3 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i. Let c(o) = -2603*o**2 - 500. Give j(c(d)).\nAnswer: -23427*d**2 - 4500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10163.\nAnswer: 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -262, 0, 2\/281, -1, 0.228?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*o = 2*v + 223, -o = -3*v + 226. Let k = 105 - v. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j + 3*d - 206, 2*d - 4 = 0. Let f = j + -55. Suppose t - 7 = -3*p, 2*p - t - 1 = -3. Sort p, -4, f.\nAnswer: f, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046946 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**7\/630 - m**6\/360 + m**5\/60 + m**4\/72 - m**3\/9 + 7*m**2. Factor i(x).\nAnswer: -(x - 1)**2*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 5. Let c be h(-4). Let q = c + 5. Suppose -4*n + 0*n + 20 = -4*o, 4*n - q*o = 18. Solve 3*w + 3 = n*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(2\/12). Suppose 0 = -3*m + h - 3*h - 10, 2*m - 4*h = 20. Suppose 2*n + 3*p + 4 = m, -w*p - 28 = n - 5*n. Solve -21 = 5*b + n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15155454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 1\/2, 1\/3, 0.3, -1\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211*x**5 + 19*x**4 - 178*x**3 + 43062056*x**2?\nAnswer: 12660*x**2 + 456*x - 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.6 - -6.60039. Round d to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.0498 + -0.0498. Is s at least as big as 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/19351950 and 67\/1020.\nAnswer: 38703900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17513063 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 381, 264, 79, -186, -543?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*l = -j + 56, -44 = -5*j + 4*l. Let y(k) = 2*k - 1. Calculate the least common multiple of j and y(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 1547?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4023 divided by -3\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + w**4 + 3*w - 96*w**2 + 94*w**2 - 9*w + 0*w - 7*w**3 to the form q*w**3 + t*w + y + l*w**4 + x*w**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*r**3 + 2 + r**3 + 0 to h + g*r**2 + m*r + b*r**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(1\/4)*n*n)\/n))**(-34)\/((n\/n**(1\/3)*n)\/n*n*(n\/n**4)\/n*n) assuming n is positive.\nAnswer: n**(263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 0.3, 0.2, -4, 245 in decreasing order.\nAnswer: 245, 0.3, 0.2, -6\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -14*k + 167 - 780 - 8*k - 664. Calculate q(-58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2, 2*o + i - 5*i + 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -696 - -701. Sort -33, x, -4.\nAnswer: -33, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/17 - 3904\/(-544).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/6 + 377\/39. Suppose 0 = -y + l + 2. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -16. Suppose 0 = 3*y + 3*l - 192, 8*l - 3*l = f. What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 24 + 16. Is 6 a factor of m\/(-2) - 2 - -67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 - 6*i**2 + 2*i + 5*i**2 - 4 + 13*i**3 + 2*i**2. Let g be b(2). Let f = g + 62. What is the highest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7888 is divided by 1088?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 5. Let t = -5 - d. Let u(l) = -l**3 + l**2 + l. Let i be u(1). Sort t, i, 4.\nAnswer: i, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(130\/90) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let v(w) be the third derivative of -13*w**4\/12 - 3*w**2. Calculate v(n(h)).\nAnswer: -52*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h - 2*h)*(-2*h - 2*h**3 + 2*h - 1).\nAnswer: 2*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from mbrjjbbmhjbbjjhbbm.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**3 - 222*k**2 + 3*k**4 - 12*k - 8*k - 73*k + 12*k**3 - 411*k.\nAnswer: 3*k*(k - 7)*(k + 2)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r - 14*r - 5*r - 3 in the form i*r + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b73 (base 12) to base 16.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:00 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3*(10\/850)\/((-3)\/5).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) + 11\/4. Solve -10*w**3 - 4*w**5 - 39 + a*w**5 + 5*w**4 - 5*w + 10*w**2 + 40 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 2*p + p + 2*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -0 - 12. Suppose -h - 81 = v*h. Let c = 73 + h. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*d = 29, d - 32 = -9*k + 9*k + 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from fclffxxfc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9499 is divided by 108.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -669453\/2 or -334726?\nAnswer: -669453\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 30 = -3*n, -n + 1 = 5*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 27\/(-6) + (-649)\/(-354).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + r. Let g be h(0). Suppose g = -3*f + 2*a + 17, 4*a = 2*a - 2. Solve -2*j - f - 3 = -d, 2*j = 2*d - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143*1\/(-5 - -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147131923.\nAnswer: 3, 103, 6948647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 14. Let m be b(13). Let p be m\/3*-5*(-9)\/45. Sort 8, 3, p in descending order.\nAnswer: 8, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 26 - 30 + 56.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 74*k + 3971. Let w be t(-110). Calculate the greatest common divisor of 19558 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000220 + -12?\nAnswer: -111001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55845, 222734, 500879, 890280?\n\"Answer: 55628*n**2 + 5*n + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**7\/840 + b**5\/40 + b**4\/12 + 22*b**3\/3 - 21. Let o(n) be the third derivative of m(n). Find t, given that o(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 - 5*k + 2. Let g(y) be the first derivative of 1 + 3\/2*y**2 - y - 5\/3*y**3. Let q = 4 - 0. Give q*n(w) + 7*g(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392 + 1402?\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 6*o + 7. Give x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -39.1. Let m = 8 + u. Let r = -0.6 - 4.4. Which is the nearest to m? (a) r (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -4757.\nAnswer: 14271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10817*x + 10825*x = -142 - 10 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + c = 6120, 9*c - 10*c - 12246 = -4*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-50)\/(-4))\/5*28\/10. Let c(h) = -4*h + 59. Calculate the remainder when 90 is divided by c(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.1 and 0.4.\nAnswer: 7.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -5059 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (-965 + 15\/(-5)). Suppose -2*d + b = 4*s + d, 5*s - 1190 = 5*d. Suppose 30*u + s = 31*u. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200804329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14 + 4 + 10 + c. Let s(z) = 3*z**2. What is u(s(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j**3 - 2*j**3 + 5*j**3)*(-3 + 3 - 1 + j) as f + x*j**3 + s*j**2 + d*j**4 + l*j and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*d = 20, 2*h - 10 = -3*d - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from xaxaazza?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15779, 31584, 47411, 63254, 79107, 94964, 110819, 126666?\n\"Answer: -j**3 + 17*j**2 + 15761*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 + r + 3. Let v be b(-2). Suppose v = -5*c + 25. Find l, given that 6*l**2 - 2*l**3 + 13*l - 6*l**3 + 153*l**c - 8 - 5*l - 151*l**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 28 = 4*v, 2*f = -4*v + 13 + 11. Suppose -10*w = -6*w - v. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/14 + (-6)\/(-21). Let c(n) = -n. Let t be c(-3). Find the third derivative of 4*r**2 + 0*r**2 - 9*r**3 - 18*r**2 + w*r**t wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 21251*j + 21251*j + 16*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by (-124)\/(-8) + 30\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 14, r: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) 181 (c) 0.3 (d) -0.1 (e) 5\/2 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*g + 5104 = -478 - 5715 + 695 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 4*h**3 - 3*h**3)*(3*h + 2*h - 6*h + (2*h - 3*h + 0*h)*(-1 + 3 - 4)) - 567*h**4 - 577*h**4 + 321*h**4.\nAnswer: -826*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/21 - 4\/14. Suppose f = -3*p - 9 + 36. Solve l = -2*y + 2*l + p, -3*y = 5*l + 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 6\/17, -6.\nAnswer: -6, -0.5, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-106)\/1219 + 51\/(-207). What is the nearest to 1 in -12, 0.2, d, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + -2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 11*n - 4 = 0. Let p be (-2)\/(-8) - 38\/(-8). Suppose m - 2*m = -2, 22 = p*d + m. What is the lowest common multiple of d and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 487.688 - 492.688. Let p = 0.9 - 6.9. Which is the third smallest value? (a) v (b) -3 (c) -4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 67486 = -5*y, b - 31459 = 4*y + 2271. What are the prime factors of b?\nAnswer: 2, 3, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252638 is divided by 165?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + z - 6. Let l(o) = -5*o**2 - o + 5. Let i(g) = 3*l(g) + 2*p(g). Let x(h) = -4*h**2 - 2*h + 4. Let a(v) = -3*i(v) + 2*x(v). Calculate a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h + 17\/4*h**4 + 0*h**3 - 32 + 7\/2*h**2. What is the second derivative of l(a) wrt a?\nAnswer: 102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (621 + 99 + 85)*(-3*z + 2*z - z) to the form s + m*z and give m.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 1. Let q be s(-1). Suppose q*t = t + 10. Let m = 17 - t. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e9 - -2?\nAnswer: -1e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:48 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Suppose z + z - 4 = 3*d, 4*d = -z + 2. Suppose -n + 5*i - 7 = i, 1 = -n + 2*i. Let c(x) = d*x - n*x + x. Calculate c(r(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggq when three letters picked without replacement from gbdagbbgbdbgqgg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -19, -41, -67, -97, -131?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04518 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23312 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 - -9?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - (8 - (13 - (16 + 16 + -26))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*k = -328*k. Which is smaller: -1\/10 or k?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-111)\/9)\/(1\/(-3)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-16)*(-5)\/((-735)\/84)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjzllzj. Give prob of picking 1 z and 2 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 - 150\/300.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o**3 + 2*o)*(24 - 24 + o) - 2*o**4 + o**2 - 2*o**2 + 4*o**4.\nAnswer: 3*o**4 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4132\/3937 - -34\/31. Let b = y - 4977\/508. Let a = 62 - 58. What is the common denominator of b and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179\/40 - -39\/8. What is the closest to -0.9 in -0.4, -0.1, g, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 249, -0.05, 9913 in descending order.\nAnswer: 9913, 249, -0.05, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/((-30)\/40). Let f be ((-266)\/(-21))\/(o\/6). Let y = f - 43. Which is the second biggest value? (a) y (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237896832 by -32.\nAnswer: 7434276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91\/5 + 93\/5. Suppose -2*g + 5 = 7. Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 29*f + 13. Calculate u(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (7 - (-1 - -2)). Suppose 0 = -l + 2*l - p, -10 = -5*k - 5*l. Let z = 4\/131 - -71\/1965. Is k bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88\/5 + -18. Which is the smallest value? (a) -2\/11 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(3)) + (sqrt(3)*1)**2*-4.\nAnswer: -12 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10231)\/(-583167))\/((-3)\/38)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23226969.3 rounded to the nearest 10000?\nAnswer: 23230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*k**4 + 395*k wrt k?\nAnswer: -3036*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1459*z + 1421*z + 93 = 587 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/24 - 60*s**2. Let m(i) = -32*i. Calculate p(m(j)).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 974298 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30*-3)\/((-6164)\/(-805) - 8).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18779 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-11*g - 15 + 15)*(-516*g**2 + 516*g**2 + 39*g**3).\nAnswer: -429*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12469903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - 9\/(-10). Let d = 20 + -20. Let a(r) = r**2 + 2*r + 1. Let u be a(d). Is u > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61924158 a multiple of 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = 4*t + 9, -5*t - 19 = 2*h. Let b(r) = 2*r - 5. Calculate b(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102010*m**4 - 102191.\nAnswer: 408040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 357401517 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b**3 - 2*b**3)*(-40*b - 23*b**2 + 25*b + 21*b - 26*b**2).\nAnswer: 98*b**5 - 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*a**2 + a + 4*a - 2*a.\nAnswer: 106*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*q**4 + 4 - 29*q**4 - 3 - 4*q - 9*q**3 - 31*q**4 - 8*q**2 - 40*q**4 as n*q**4 + c*q + v*q**2 + m*q**3 + d and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 45784 - 36751 = 10*w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 9*v**2. Let x be i(-9). Suppose -4*a + x*a - t = -199, 2 = -2*t. Let o = a + -30. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*j = 0. Let y be (-6)\/(-1 - 1) - -1. Solve -y*z + z - 9 = j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q**2 - 4*q**2 + 5*q**2)*(4 + 0 - 2) - 4 + 5 + 1 - 2*q**2 as r*q + m + y*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 284533785 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - l**3 + 1116 - 12*l**2 - 1114 - l**3 + l**2 as y*l + j*l**2 + v*l**3 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37685 is divided by 1141?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -284063, -284022, -283981, -283940?\n\"Answer: 41*b - 284104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 148*y**2\/11 - 304*y\/11.\nAnswer: 2*y*(y - 76)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204808?\nAnswer: 2, 25601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600855.\nAnswer: 3, 5, 41, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) + (-92)\/28. Let y = 2 + 0. Let h be 0 + n\/((-3)\/y). Solve -h*f + 1 = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 1114 = 1096 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 4. Let w(s) = 2*s**3 + 4. Suppose 0 = -5*v + 6 + 19. Let u(l) = 2*l**3 + 3. Let i(h) = v*u(h) - 6*w(h). What is 9*g(n) + 4*i(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 58, 76, 104, 142, 190?\n\"Answer: 5*c**2 - 7*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -524 greater than or equal to -544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 8*y**2 - 75*y + 78. Let f be a(5). Solve 6*x - 2*x - f*v = 27, -3*v = -2*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005553 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123308578 and 493234312?\nAnswer: 493234312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/12 and 7\/292?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -3c?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15563 - 15560. Suppose 14 = -6*p + 8*p. Solve 0 = 3*z - 3, -r*o - 2*z - 2*z + p = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/10 - (-896)\/220 and 17\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from gpnqqqngggqngnqqgq.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {y: 3, j: 3, b: 5, k: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1b77684 (base 12) to base 2\nAnswer: -10110011011111000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 23. Let b = u + 70. Let o = b + -46.9999896. What is o rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6384.27603 and -39726.\nAnswer: -33341.72397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = o, o - 3*m - 4 = -0*o. Suppose 23*q - 48*q = 50. Sort 3, q, -11, o in increasing order.\nAnswer: -11, q, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 3, m: 1, e: 2, t: 1, n: 2}. What is prob of sequence mewt?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1514 + 4421?\nAnswer: 6235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-88)\/64*(6 - 532\/77). Let q*r**2 - 1\/2*r - r**3 - 1 = 0. What is r?\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*a**2*s - 3*a**2 + a*s + 36256*a + 14512204*s wrt a.\nAnswer: -16*a*s - 6*a + s + 36256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 31*n - 57. What is m(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3720)\/(-672) + 2\/8)\/(12\/14). Which is the smallest value? (a) z (b) 1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20822, 85634, 193656, 344888?\nAnswer: 539330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-147))\/((-5904)\/(-45920)*(-50)\/(-108))\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjjj when four letters picked without replacement from jjjjjjjjjjjjjbj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-20))\/(-1))\/(4\/(108\/27))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 41. Calculate d(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 - 33*u + 25. What is j(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1062505+0.265\nAnswer: 1062505.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, 0, -0.2, 8, -35, -2\/3 in increasing order.\nAnswer: -35, -27, -2\/3, -0.2, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -35 + (-5)\/(-20)*0. Suppose 9*n - 5 = 40. Sort 2, a, n in ascending order.\nAnswer: a, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r**3 - 3*r + 6*r**3 + 227*r**2 - 226*r**2 to the form d*r**2 + l*r + b + o*r**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**2 - 95*n - 3\/140*n**5 + 0 + 1\/6*n**4 + 47\/42*n**3. Solve w(v) = 0.\nAnswer: -2, -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2*c)\/c)**(-44)*(c\/c**(-1))**(-13\/8) assuming c is positive.\nAnswer: c**(-365\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 61. Solve -3*q = 3*y - 9, m*y + 2 = 4*q - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:54 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**4 - 41*d**3 - 4*d**4 + d + d + 4834 - 4835 - 16*d**2 to b*d**4 + m*d + y + t*d**2 + r*d**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1690526, 1690531, 1690536, 1690541, 1690546, 1690551?\n\"Answer: 5*w + 1690521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -14 + -9 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 9. Let v be u(8). Does 12 divide (v - 5)*-2*(-155)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.73 - -0.33. Sort -2, -4, 4, l in descending order.\nAnswer: 4, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -460*u + 454*u + 60. What is the greatest common divisor of u and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-640)*204\/(170\/(-10))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/2233 and -103\/116.\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**3 - 8*k**2 - 8*k. Let n(l) = l**2 + l. Calculate -8*n(x) - t(x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -464, -862, -1260, -1658, -2056?\n\"Answer: -398*t - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - -0.8. Let k = 21 - 17.6. Let p = k - f. Sort -4, 3\/5, p.\nAnswer: -4, p, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 32*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 - 111*d**2\/2 + 1189*d\/2 - 2541\/2.\nAnswer: -(d - 7)*(d - 3)*(d + 121)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -683 + 685. Let y(j) = -2*j**3 + 472*j**2 - 33706*j + 843706. Let z(i) = -i**2 - 2*i + 2. Let b(o) = s*y(o) + 44*z(o). What is w in b(w) = 0?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343697.87 times -2?\nAnswer: 687395.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-252 + 251)*(1 - 1). Suppose 5*p + 4*g = 6*p - 10, 2*g = -2*p - 20. Let d = 3 + p. Sort -2, d, c in descending order.\nAnswer: c, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82228538437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 431 + -424. Differentiate 2*w + 23 + b - 3 - 2*w**2 + 14*w**2 with respect to w.\nAnswer: 24*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2864*i**2 + i. Let s(q) = 743*q**2. Give f(s(c)).\nAnswer: 1581068336*c**4 + 743*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4*z**2 - 3 + 3 - 6*z**2 to c*z**2 + g*z + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.28 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -1. Let z = 7 + m. Solve 4*u - 2*u + 4 = z, -2*k - 6 = 3*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-15) + 156\/(-60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7642885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 0, 13 in descending order.\nAnswer: 13, 5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*i - 9, 0 = 3*k + 4*i - 13 - 4. Let l be 2\/7 + (-40)\/(-56). Sort 0, k, l, -3 in decreasing order.\nAnswer: k, l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 2, x: 1, v: 2, h: 1}. Give prob of sequence zzh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 698, 1389, 2076, 2753, 3414, 4053, 4664, 5241?\nAnswer: 5778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 - 3) - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -514 (base 7) to base 9\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328.1 + -7.117851?\nAnswer: -1335.217851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0 + 39*t**2 + 0*t**4 + 0*t**3 + 1\/420*t**6 + 0*t**5 + 0*t. Factor k(a).\nAnswer: 2*a**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 6. Suppose 2*c + 330 = 4*w, k*w - 225 = 14*w - 3*c. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -2)*-8*(-2)\/(-4). Let h(r) = -r**3 + 8*r**2 + 2*r - 14. What is the remainder when h(g) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + -1)) + (15 - 36).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6068, -6067, -6066, -6065?\n\"Answer: d - 6069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11961419329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 177 and 6?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1058 and 4878.\nAnswer: -5160924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 810.83617 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -205906 greater than -62\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 7392 = 37*x. What is the units digit of x + (-42)\/63 + (-10)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70940, 143126, 215312, 287498?\nAnswer: 359684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/9 - 38\/(-9). Let v(x) = 2*x**2 - 2*x - 2. Let w(l) = 2*l + 34*l**2 - 4*l - 3 - 31*l**2. Calculate u*v(y) - 3*w(y).\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -2402 and 164.\nAnswer: -2238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q - 11. Suppose -2*j + 5*k + 8 = -1, 5*j = -k - 45. Let y(i) = -2*i - 4. What is j*y(m) + 3*p(m)?\nAnswer: 3*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(2*m**4 - 2*m**4 - 3*m**4) + (29*m**2 - 29*m**2 - 7*m**3)*(-3*m + m + 3*m).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**2 + j - 2. Let r be v(-2). Let y = 6089 - 6077. What is the greatest common factor of r and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:53 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -33, -61, -97?\n\"Answer: -4*x**2 - 8*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {r: 9, j: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1.9, -113, -0.5, -1\/3, 7 in decreasing order.\nAnswer: 7, 0.4, -1\/3, -0.5, -1.9, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 + -3 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l**2 - 1413*l + 24641. Calculate v(137).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-3))\/((-4)\/24). What is the remainder when (-138)\/(-12)*8 - 6 is divided by (-4 + -16)\/(-5) - s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 = t, 5*z + 1 = 4*t. Let 2*i**3 + 8*i**2 - i**3 - 4*i - 5*i**z = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/8 of a microgram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651774783.\nAnswer: 3, 11, 31, 271, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-2)\/24 - (-475)\/30. Let j = 2 + 0. Suppose -j*s = -y + 8, -10 - 6 = -2*y - s. What is the greatest common divisor of y and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 11*s**2 + 0*s - 11\/24*s**4 + 0 + 2*s**3. What is the first derivative of t(q) wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 53\/(-7) + 4 - -4. What is the closest to 3 in n, 3, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 6208?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*v**2 + 49*v**2 - 695*v**2 + 83*v**2.\nAnswer: -814*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 286+-140160.5\nAnswer: -139874.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 (base 9) in base 16?\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 + -11?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-46)\/(-2))\/69)\/(39\/(-18))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2785\/464 or -7?\nAnswer: -2785\/464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 - l. Let h be q(-5). Suppose 5*p + 0*p = 120. Suppose 4*d + p = h. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(176) + (-3 + (sqrt(176) - (sqrt(176) + 3*sqrt(176))))**2 + 3).\nAnswer: -4788 - 228*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.201573 smaller than 654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.58295 to 2 dps.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 52*h**2 - 4*h - 1. What is the units digit of k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:28 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001838414 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 177222114 - -2?\nAnswer: 177222116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/13 + 145\/26. Find the common denominator of m and (-5 + -1)*9\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 12*r + 8. Let h be z(-8). Let s = -5 + 3. Let x be 2\/(-3)*h + s. Calculate the greatest common factor of x and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/((-1620)\/510))\/(1\/2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-33 + 4)*-1*(-4)\/(-56) and (-15)\/(-12)*(-2)\/10?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3624752a - 8?\nAnswer: -36247537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 2}. What is prob of sequence jrrj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/12 - 5*l**3\/3 + 4*l**2 - 8*l. Let w be n(-9). Determine g, given that 9 - 69*g + w - 7 - 1 + 21*g**2 = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 32001 = n, -5*g - 2*n = -79998. Suppose 2*f = 0, g = 35*a - 40*a - f. What is a rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 50, 67, 102, 161, 250, 375, 542?\n\"Answer: b**3 - 2*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 370765183.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g = 92*g - 1026. Is 38 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 3*f**3 + 59*f**3.\nAnswer: 67*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2275 and 4725?\nAnswer: 61425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**5 + 6*k**3 + 10*k. Let h(c) = 9*c**5 + 17*c**3 + 30*c. Let r(n) = 6*h(n) - 17*l(n). What is the second derivative of r(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -65360, -65359, -65356, -65351, -65344, -65335?\n\"Answer: l**2 - 2*l - 65359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbskbtsbpbpbkbjbbkss. What is prob of sequence spp?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -19, -31, -57, -103?\n\"Answer: -a**3 + 2*a**2 - 3*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*f - 18, -5*f = 3*s - 30 - 2. Let z = -2 + f. Let i = z - 20. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 + 21 - 2*o**2 + 54 - 2228*o + 17 to the form i*o + j + y*o**2 and give i.\nAnswer: -2228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, t: 4, d: 9}. Give prob of picking 1 l and 2 t.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 3\/4 (c) -92 (d) 0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:05 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 - 6 - (60 - 66)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 67. Let f be t(-19). Is (6296\/10)\/(-1*f\/25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-11\/3)*v)\/(v*v**(-3\/7)\/v*v) assuming v is positive.\nAnswer: v**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/45*-12*65\/78)\/(17\/(-2))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-6)*3*41\/1681*82.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -9*s**5\/20 + s**4\/8 - s**3\/3 + 8*s**2 - 3*s. What is u(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1954)\/8)\/(6\/(-72)). Suppose 4*v - s = -5*w, -w = -2*w + 3*v + 590. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41535 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/4 - q**3 + 3*q**2\/2 + 1. Let z be s(2). Suppose z*p - 24 = -2*p. Calculate the highest common factor of p and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-3 - (-3 + 2)). Suppose -4*o + 3*o + n = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.06738 hours in days?\nAnswer: 8.1278075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1925.63498 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -11*y**6\/30 + 25*y**4\/6 - 16*y**3\/3 + y**2\/2 - 491*y. What is the second derivative of z(m) wrt m?\nAnswer: -132*m**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*t + 4*t = -50, -u - 5*t = -37. What is the greatest common divisor of 36 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -27*p + 1956. Let c(i) = -31*i + 1954. Calculate -7*c(v) + 8*z(v).\nAnswer: v + 1970","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q**3 + 2*q**2 + 4*q + 5. Suppose 16*u + 8 = 12*u. Does 7 divide t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.114 + -0.886. Suppose -u = -5*k - 18, -4*u + 36 = -5*k + 9. What is the nearest to r in -0.2, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 3. Let b(j) be the third derivative of 0*j + 0 - 15*j**2 + 2\/3*j**3. Give 3*b(q) + 4*h(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 1. Let i be ((-6)\/(-4))\/((-3)\/(-4)). Let k = -7 - -13. Suppose i*f - 16 = k*f. Calculate g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1420 + 1568. Solve 153*o = u*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.16658 rounded to one decimal place?\nAnswer: 89.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*(-12)\/(-252)*9*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(12\/48). Let o(t) = -2*t**3 + 3*t**2 + 3*t + 4. What is o(y)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 577 and 46791238?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909152 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 + 35*m\/6 - 46.\nAnswer: -(m - 23)*(m - 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 16, -0.1, 4, -0.271, 3\/8, -0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -34852 bigger than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhnnnnnnjnhhwnnjwjjn. Give prob of picking 3 n and 1 w.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 833\/(-126)*3 + 2\/(-12). Let v = 23 + q. Solve 5*o - v = 2, 0 = a - 2*o + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -287\/141?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17*p**2. Let t(g) = 237*g**2 - 9. Determine t(s(j)).\nAnswer: 68493*j**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 41*a**3 - 11*a + 6 + 15 + 4 - 40 as k + m*a**3 + x*a + i*a**2 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -11\/6, 90?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 11 (c) 324\/41 (d) 5 (e) -1\/4 (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 468328881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 11 = p - 2*o, 5*o = 5*p - 10*p + 20 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 105 = -13*d. Let j = d - -41. Suppose 3*g + 6 = w - 12, -2*w + j = -2*g. Solve 0 = -w*l + l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 21*t**2 - 106*t + 37. What is g(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27180037.\nAnswer: 251, 108287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -9. Let f(n) = -2 + 0 + 25 - 21 - n. Let o(m) = 5*m - 6. Let b(l) = 9*f(l) + 2*o(l). Give b(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 16*g. Let p(z) = 136*z**2 + 141*z**2 - 273*z**2. Determine p(y(l)).\nAnswer: 1024*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35547 - 5?\nAnswer: -35552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-20) + (-483)\/(-1725))*83 and -49\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2365 and 3628955?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 7) to base 15.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - 17. Let w = t - -46. Suppose -5*p - 2*u + 4*u = -4201, w*p + u = 2514. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 p when four letters picked without replacement from {s: 6, i: 2, p: 10}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y + 104. Let u be g(4). Suppose 0 = u*h - 1171 + 1959. What is the second smallest value in h, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/(-10))\/(-13)*(-4)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2231 + 2?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4138, 16447, 36956, 65665, 102574, 147683?\n\"Answer: 4100*n**2 + 9*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 380645055 divided by 21735\nAnswer: 17513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112483400 is divided by 1862?\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o. Let c(g) = -4*g. Give w(c(l)).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2809 - 1550 = -14*q - 271. Solve -q*p - 6 = -294*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162350 is divided by 54113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*q, 5*u - 8*q - 245 = -4*q. Suppose -d = 0, -2*d + u = n - d. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2. Let x = -18 + 20. Let j(v) be the third derivative of 0*v**3 - 1\/24*v**4 + v**x + 0*v + 0. Determine j(q(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 656 + 4?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 32341 = 5*u - 38660, 4*u = -2*v + 56796. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 24720 = 6*m. Let p(w) = 1545*w - m*w + 64*w**2. Let j(b) = 2*b. Calculate j(p(z)).\nAnswer: 128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k**2 - 2*k**2 + 3*k**2)*(5*k**2 - 2*k**2 - k**2) - 3*k**4 + 3*k**4 + 2*k**4 - k**4 + 3*k**4 + 0*k**4)*(-2 + 0 + 1)*(4 - 5 + 0).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 2. Let p be i(-5). Let g be 1\/(-1) + p - 7. Which is the second smallest value? (a) -2 (b) g (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*(-2 + 1)*(-745)\/298. Solve 0 = 126*r - 131*r + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(5 + 1 + -4). Suppose -2*j = -p + 2*j + b, 18 = 3*p - 5*j. Let z = 0 + 3. What is the highest common factor of p and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0335 and 7.5759.\nAnswer: -0.25379265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(2*b**2 + 2*b**4 - 2*b**2) + (3*b**3 - 3*b**3 + b**3)*(25*b - 252 + 252).\nAnswer: 21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 4*k**2 - k - 2. Let j be d(-4). Suppose -4*y = -j*y - 1886. Let q = y - 2483. Round q to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*h = -4 - 12, 0 = 3*h - 12. Suppose -44 = -4*s + 4*o, -s - 5*o = -x*o + 19. Solve -2*t = -2 - s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 20 = 0, 3 + 41 = 4*j + 5*f + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 22784884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 10*b**2 - 13*b - 8. Let r be j(-9). Let d = r - 9. Solve 0 = t + 4*p - 21, -2*t + 4*p = -t + d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -30. Let i be l\/(-4)*(-1 + -3). Let d = i + -8. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55213088, -110426174, -165639260, -220852346, -276065432?\n\"Answer: -55213086*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(225\/12)*(-175)\/(-70).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 1 - 1)*((4 + 0 - 3)*(3*p + 2*p - 3*p) - 22 + 28 - 98*p + 92*p) to t*p + g and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26931936*f - 26931860*f - 1 + 1.\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10296)\/(-715)*(-3)\/12.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70827059 at most 70827060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 304237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*-1 - sqrt(4)) - 2*sqrt(1872).\nAnswer: -49*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 2}. Give prob of picking 1 n and 2 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217aa3 (base 15) to base 12.\nAnswer: -64b323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, 11, 6, -24, 4 in ascending order.\nAnswer: -24, -12, 1, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69\/46825 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 3104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 5008 + 5010 + 3*f**2 - 1380*f**2 to z*f**2 + t + w*f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -7 + -1 + 3. Let b(f) = -f + 5. Let n be b(k). Solve 3*y - 4*z = -14 - n, 0 = 2*z - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/79830 and -41\/143694.\nAnswer: 718470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -667*d + 1342. Determine a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*g + 68*g - 32*g - 11*g + 13*g + 39 wrt g.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 7?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9567653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149 and 276395.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4914, 39625, 133920, 317583, 620398, 1072149?\nAnswer: 1702620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:08 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35, 11\/2, -0.5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/33 and 31\/516279.\nAnswer: 5679069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 + s**4 + 8*s**2 + 3 + 0*s**2 - 2*s**4 - 10*s**2 + 4*s = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(171) + -2*sqrt(171))**2 + sqrt(171) + 2 - -4*sqrt(171)*2)*3.\nAnswer: 486*sqrt(19) + 3114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-218250)\/3276)\/(-25) - 180\/63?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 1) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 695 = -690. Let k be (1\/(-1))\/(3\/(-21)). Let s(x) = -x**3 + 7*x**2 + 2*x - 9. Let p be s(k). Does p = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(20) - sqrt(7)) + -3 - (1 + sqrt(700)*2))**2 - 6*(-6*(sqrt(252) + 2))**2*-3.\nAnswer: 15716*sqrt(7) + 675383\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4660 > -34.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 30 = -5*p + 12, z = 2*p + 8. Suppose 4*t - u - 55 = 0, 0 = z*t - 3*t - u - 10. Solve 2*k - 5*y + t = 0, -3 = 2*k + y - 2*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26755671*q**4 - 239250*q + 82.\nAnswer: -321068052*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2674751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 7525*g**2 - 97982*g + 90456.\nAnswer: (g - 12)*(g - 1)*(g + 7538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -63\nAnswer: -69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(72) + -1.\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, -19.406, -1, -6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423988 (base 10) in base 14?\nAnswer: b072c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4 - 4 + 2*s**2. Let q(t) = -8*t + 6. Let u(a) = -7*a + 5. Let o(i) = 5*q(i) - 6*u(i). Determine o(w(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-8)\/(-624))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -171 times -516632.4\nAnswer: 88344140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3*k**2\/2 - 3*k - 11. Let h(x) = 2*x - 4. Calculate 3*f(v) - 2*h(v).\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -95*c + 39. Let p(l) = 63*l - 26. Let f(u) = -8*p(u) - 5*q(u). What is the derivative of f(r) wrt r?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7305 = 22*f - 7*f. Let l = -365 + f. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2\/5, 4\/5, -1\/3, 0 in descending order.\nAnswer: 4\/5, 2\/5, 0, -1\/3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187) + -1*1*sqrt(187) + sqrt(187) - sqrt(187) - sqrt(187)*3*-4)\/(sqrt(539)*5 - (-4*sqrt(704) + sqrt(11))).\nAnswer: 13*sqrt(17)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8 and 24369.62?\nAnswer: 24370.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 33) + (11 + -29 - -22) - -7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1107440\/(-61468) + 18\/3).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 181691924*d**3 - 14671836 wrt d?\nAnswer: 545075772*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152*i + 186*i + 306 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) 3 (c) -231247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*w = -499*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 29 = 16. Let w be ((-9)\/(-27))\/((-1)\/s). Solve 5*h + 5*b + w = 0, -h - 3*b - 4 = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + m**2 - 2*m**4 + m**3 - 4 - 6 + 11 in the form t*m**3 + g + j*m + c*m**4 + y*m**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*k - 7402, 25*l = 23*l + 4*k + 7384. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 - -151. Solve -5*z - 2*a = -25, k*z - 6 = -5*a + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48255769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m. Let g(b) = 6*b. Calculate 6*g(v) + 5*k(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4203 + -4188.155. Let b = i + -0.045. What is b rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 48. Suppose -b*o = -w - 195, 0 = o + w - 38 - 1. Let u be 5*(-1)\/(-1) + (o - 40). Solve -z - 15 = -u*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -40. Let j be 92*(3\/(-2) + 1). What is the common denominator of (-1 - 1)\/((-28)\/j) and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u + 2. Suppose 0 = 7*m - 6*m - u. Which is the closest to m? (a) -0.2 (b) 0.1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*36\/(-522) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:35 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/50)\/((-12)\/(-48))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = u + 3, 0 = 3*b - b - 4. Suppose 2*m + 0*m = 50. Solve -u*n = 2*n - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-33)*((-13)\/2 + 5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*d + 20. Suppose w - 40 = d*f, -2*w - 20 = -3*w - 5*f. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6464419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 3.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:15 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 7*p - 2. Let i be w(-6). Let c = i - -1. Find the first derivative of 4*j - 3 + c*j - 4 - 2*j wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313027 - 313027 - 7*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457.304145 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -125 - 181. Calculate the highest common factor of 1258 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(0 + 6 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.242 + 0.142. Which is the nearest to 0.1? (a) 2\/9 (b) -30 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, -0.5, 31, 0.\nAnswer: -0.5, -0.2, 0, 0.1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -41. Solve y*f + 3*f = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x. Let k(v) = v. Let w(q) = 2*q. Let m(a) = 3*k(a) - 2*w(a). Let u(o) = 2*o. Let h(c) = -3*m(c) - u(c). Calculate p(h(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 1280. Let z(y) = -16*y - 1. Give z(t(q)).\nAnswer: -16*q + 20479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*s - 0*s. What is the least common multiple of s and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2 + 69*m - 537 wrt m?\nAnswer: -4*m + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 - 10) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k*k**(10\/9)*k)\/k)\/k)\/k**(-2\/37))**(-17\/3))**(2\/45))**(-1\/18) assuming k is positive.\nAnswer: k**(6596\/404595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 11:59 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 11*v**2 + 3*v - 12. Let z(y) be the first derivative of y**4\/4 - 5*y**3\/3 + y**2\/2 - 5*y - 46. Let p(q) = 4*t(q) - 9*z(q). What is p(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*x - 189*x + 9 = 0. Let a be (-2 - (-2 - -1)) + 2. Solve 2*c = -3*r + a, -2*r - r = -x*c - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -6 + 2 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2878*z**2 - 1711*z**2 - 2383*z**2 - 621*z**2 to b + u*z + r*z**2 and give r.\nAnswer: -7593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22648321\/710 - -31899. Calculate the common denominator of n and 33\/1775.\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*a + 4*h - 4, -5*a = -2*h. Solve 3*z - 12 = -a*c + z, -c = -z + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 119879872538 and -16.\nAnswer: 119879872522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4)*14\/(-7) - -4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606955993 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 1 l when three letters picked without replacement from {w: 1, x: 2, e: 4, l: 2, y: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -11 (c) -2\/17 (d) 30\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nffffnffffffffffffff. What is prob of picking 2 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 21040*v - 42064 = 0.\nAnswer: -5258, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 194, 269, 346, 425, 506, 589?\n\"Answer: u**2 + 72*u + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**4 + 3905*u**3 - 632495*u**2 - 636405*u = 0.\nAnswer: -1, 0, 231, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 5*h + 76 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 13*y. Let t be v(9). Calculate the greatest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -10*x**2\/9 + 22*x\/3 + 28\/9 = 0.\nAnswer: -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 862 - 715. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 12*u**2 + 89*u + 1153. What is n(-12)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.07 and -3?\nAnswer: -165.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6994*o**2 - 9554*o**5 - 2425198*o**3 + 2425198*o**3 wrt o.\nAnswer: -573240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 5*m - 2. Determine z(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -3.04. Let n = -3.00000096 - z. What is n rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31504616.\nAnswer: 2, 11, 13, 27539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*z = 496, -v - 3*z = -6*v + 1261. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32238700.32 rounded to the nearest 1000?\nAnswer: -32239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488532 and 396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 3*y + 6*y)*(-y + 5*y - y - y**2 - 2) to the form l + j*y + m*y**2 + z*y**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3 + 404*m**2 + 814*m + 408 = 0.\nAnswer: -1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 3\/(-42))*-4. Let r = 6.9 + -7. Sort g, -2, r.\nAnswer: -2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 5\/12*w**5 + 0 + 1\/24*w**6 + 5\/2*w**3 + 35\/24*w**4 + 0*w + 10*w**2. Factor q(b).\nAnswer: 5*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130)*-1 + sqrt(130))*4 - sqrt(130))\/(sqrt(250)*1).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 5*w)*(0*w - 6*w + 4*w) - 2*w**2 + 2*w - 2*w - 2*w**2 + 6*w**2 + 0*w**2 + (0*w - w**2 + 0*w)*(-21 - 59 - 14).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/105 and -73\/8325.\nAnswer: 58275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1107 and 2337?\nAnswer: 21033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 2*q - 1. Let b = -1 - -3. Suppose b = -4*f + 6*f. What is g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/42 + 1\/14. Put 0.3, p, -3.7 in descending order.\nAnswer: 0.3, p, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - i**3 + 259*i**2 - 260*i**2)*(-12*i**2 - 6*i**2 + 0*i**2).\nAnswer: 54*i**5 + 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 264*w**2 + 524*w.\nAnswer: w*(w - 262)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -11*w + 8*w. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - v - 3*v, 4*r + 3*v = 0. Suppose b - 3*p + 4 = r, -2*p = -4*b - 1 + 5. Solve -3*q + 5 = -2*t, -b*t = -3*q - t + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 595.39 - 599. Let n = -0.61 - s. Which is the second biggest value? (a) n (b) 2\/3 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142 in -80\/7, -1, 5?\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1 + 1)*1\/(-2))\/((-12)\/4). Solve 6*g + 18 = 2*f + 2*g, c = -4*f - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*j, 0 = 2*x + 2*j - 168 - 86. Let r(l) = -69*l - 3080. What is the remainder when x is divided by r(-45)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 5*f - 1. Suppose 1 = 2*r - 9. Let y(w) = 12*w**2 - 16*w - 4. Let n(x) = r*y(x) - 16*d(x). What is the derivative of n(h) wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70 + 204 + m**2 - 112*m**2 + 985 + 39 wrt m?\nAnswer: -222*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7293 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (65\/((-1)\/1))\/(-1).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o. Suppose 0 = -d - 3*z + 9, -5*d - z + 11 = -3*z. Let s(a) = -d*a - 12*a + 26*a - 13*a. What is s(k(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*s - 22 = 0, 30 - 34 = -s. Suppose -2*y + 3*y - 3 = 0. What is the derivative of y*a**3 + l - 4 + 17 - 11*a**3 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/2 + 49*h**3\/2 - 53*h**2 - 98*h + 204.\nAnswer: (h - 2)**2*(h + 2)*(h + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -0*j. Suppose 3*l - 4 = p, p + j*l = 3*l + 1. Does 5 divide (-2 - p)\/(5\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/45 in 1\/5, 0, -3, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (13\/195)\/((-4)\/(-730)*-1) and -5\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**25*d**2*((d**(-6\/11)*d)\/d)**45 assuming d is positive.\nAnswer: d**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 311*c**5\/5 - 71*c**4\/8 + 11*c**3\/6 - 3297*c**2. What is the second derivative of o(n) wrt n?\nAnswer: 7464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 75, 2, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1335 and 48.\nAnswer: 21360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 6.69?\nAnswer: 6.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 4) + 10\/2 - 2. Suppose -a - d*w - 244 = -817, -2*a + 1146 = -2*w. What are the prime factors of a?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 5*h = -0*h. Suppose -30*g - 2*f + 1103 = -29*g, h = 5*g + 5*f - 5530. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.4 - 53.4. What is the closest to 1\/4 in 8, -2\/15, q?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 - 16*x**2 - 33*x + 12. Let n be g(-4). What is the highest common factor of 136 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31963\/47 + 680. Put -3, 2, o in descending order.\nAnswer: 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5146 - 2.6146. What is the fifth smallest value in 4, 2\/23, 1\/78, 22, p?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 12*a - 4. Give i(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 0*m + 4*m + 60598 - 29657 - 30940.\nAnswer: 9*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 15\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/900)\/((-11)\/((-220)\/125))?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 18 + 17*c - 19*c)*(-4*c**3 + 3*c**3 + 2*c**3).\nAnswer: -2*c**4 + 118*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (((-2*sqrt(364)*-4)\/sqrt(7))**2 + (-6*(sqrt(3328) + -1))**2)*6.\nAnswer: -6912*sqrt(13) + 739032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106608218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Suppose -3*f - 3*z - 6 = -z, i = 5*z. What is the units digit of -1 + (0 + -4)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*m + 132 = 151*m. Suppose -m + 37 = 3*t. Solve t*a - 5*i + 5 = 0, -3*a - 4*i + 3 = -6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3990 divide 220000488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17886)\/154 - (-354 + 238).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -65478055.\nAnswer: 65478050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*d = -502*d. Solve -9*u + 3*c + 14 = -10*u, 5*u - 2*c + 19 = d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000 (base 3) in base 16?\nAnswer: -2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25353, 25374, 25397, 25422, 25449, 25478?\nAnswer: 25509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250 - 586. Let k = j + 333. What is the smallest value in 2, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*i - 52, -a - 2*i = 3*a - 128. Let m = a - 35. What is m rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejje when four letters picked without replacement from {e: 11, u: 1, j: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 - 2) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = 3*u - 2, u = -3*q - 6. Suppose 2*h + 39 - 49 = u. Let x be 0\/2*(0 + 1). Put -4, -5, x, h in ascending order.\nAnswer: -5, -4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16183881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*j**3 - 5 + 12*j**3 + 13*j**3 - j**2 in the form z*j**2 + o*j**3 + a + k*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-87) - 24\/(-16)*(-444)\/(-54)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -40. Let h = -9 + w. Let n = h + -12. Calculate the greatest common factor of 33 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 9*u - 4*u. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 9*a + 4. Let f be g(-10). Let h(v) = -v**3 - 7*v**2 - 3*v + 24. Let p be h(f). Solve 4*j + 2*d + d = 19, j = -d + p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 42 = -0*x. Suppose x*v - 10*v = 6. List the prime factors of (5 + -8)*(v + -12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 178, 405, 722, 1129?\n\"Answer: 45*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 18. Suppose y*c + 0*s - 15 = 2*s, 0 = 5*c - s - 32. Suppose -c*n + 200 = -2*n. What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, 0.05417, -0.7 in descending order.\nAnswer: 4, 0.05417, -2\/7, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6039 by -183.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x - 16. Let t be c(6). Let a(f) = f**2 + 10. Let d be a(0). Calculate the highest common divisor of d and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010*n = 1015*n + 3*p - 3027, -n - p = -605. Calculate the least common multiple of 120 and n.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03119786 rounded to 5 decimal places?\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 + 0*z**2 - z**2)*(-4 + 5 + 2) to a + v*z**2 + d*z and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -1\/3, 4\/45, -2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 17. Let q be t(12). Put 0, -5, 4, q in decreasing order.\nAnswer: q, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3306.33 - -910.3.\nAnswer: -2396.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -28*o**3 + 23*o**2\/2 + 12*o + 3. Let r(p) = 42*p**2 - 12*p - 6. Let t(k) = -3*b(k) - 5*r(k). Determine j so that t(j) = 0.\nAnswer: -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 6*m + 0*m**5 - 5*m wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23947*z**3 - 7861957*z - 3.\nAnswer: 143682*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 22. What is s(24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, r: 4, v: 6}. Give prob of picking 2 d and 1 v.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0526 + -0.0426. Sort -2\/15, -0.5, u in descending order.\nAnswer: u, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.96 - -34. Let v = n - -0.16. What is the third biggest value in -2, 2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0214582110108 plus 0.0298?\nAnswer: 0.0083417889892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 6*y**2 - 5*y + 7. Is a(-5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 343636.7 micrometers?\nAnswer: 34.36367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23*h - 44. Let p(o) = -8*o + 15. Calculate -6*f(y) - 17*p(y).\nAnswer: -2*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(24)\/(sqrt(16)\/sqrt(4))))\/((sqrt(576)*1 + sqrt(4))*-4))**2*-3.\nAnswer: -9\/2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -0.02, -2\/5, -2\/117, -3?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - 5 + 1 + 4 + 21*h wrt h?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**7\/2100 - l**6\/225 - l**5\/75 + 4*l**4\/15 + 37*l**3\/6 - 166*l. Let f(w) be the second derivative of z(w). Factor f(j).\nAnswer: 2*(j - 4)*(j - 2)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59 + -3.99. Let u = 5.1 + i. Let p = -1.9 + u. Which is the third smallest value? (a) p (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 34*t + 1. Let a be (-2)\/(-13) + (-5)\/((-65)\/102). List the prime factors of c(a).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 506181 and -1023 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/6*(-11949)\/(-7966)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3 - 2*o**3 + 6*o - 5*o + 4*o**2 - 4*o + 3*o**3. Let n be h(-2). What is the greatest common factor of n and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091799045 to 6 decimal places.\nAnswer: 0.00918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -93. Let b(r) = 12*r - 23. What is the least common multiple of 10 and b(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184053 and -0.1.\nAnswer: -18405.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + (sqrt(242) - (0 + -1 + sqrt(242) + sqrt(242)))**2 + sqrt(242).\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566863 is divided by 2197.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 + 2*l - 7. Let h be p(7). Let v = h - -157. Suppose -z + 4 = -1. What is the remainder when v is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {n: 7, w: 5, x: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:43 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001183218 rounded to 5 decimal places?\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5319 is divided by 213.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-3 + sqrt(272) + sqrt(272) + -2) - -2*((0 + sqrt(272) + -1 - sqrt(272)) + sqrt(272))) + 1)**2.\nAnswer: -192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*a + 9 + 27 = 0, 0 = -4*y - 5*a + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/2*4902\/59641?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**5 + 66035*x**4 - 272695563*x**3 + 1293335966*x**2 + 1974670592*x + 408573024 = 0?\nAnswer: -1, -1\/4, 6, 8252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 575, 1294, 2301, 3596?\nAnswer: 5179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 141, 3, 14, 10 in decreasing order.\nAnswer: 141, 14, 10, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 26966*a\/5 + 172992.\nAnswer: -2*(a - 13515)*(a + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 + 0 = 3*j, -5*j = 5*m + 10. Solve -5*d = f - 8, j*f - 5*d + 17 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 19*b**2 - 23*b + 6. Let r be n(-13). Let p = r - -2147\/3. Factor p*o**2 - 4\/3*o - 25\/3*o**3 + 0.\nAnswer: -o*(5*o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from zuuuuzuwzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:03 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d. Determine l(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4)\/((-10)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28076309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 121 + 124 = 2*w, 2*w = 5*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Suppose y + a - 1 = 0. Let g be (-10)\/y*12\/10. Solve 0 = m + 5, -g*c + m + 4 = 2*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/9 + 4*h**4 + 100*h**3\/9 + 20*h**2\/3 - 104*h\/9 - 32\/3 = 0. What is h?\nAnswer: -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (37 + 6)) + 2 + -4 + 3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 27*t**2 - 74*t + 49. Let x be u(24). Are 20\/557 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-46882)\/(-8) + (-23 - (-16 - 1)))*12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c. Let u be (1 - -2) + c + -3. Suppose 48 = -0*p + 3*p. Solve -2*d + 5*l - p = u, 3*l + 11 = -3*d + 4*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 288*n**2 + 1104*n - 1088.\nAnswer: 4*(n - 68)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + -388?\nAnswer: -36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.405 - 4.404. Let m = -2 + a. Round m to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 10 - (-6 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5026 (base 9) to base 2\nAnswer: 111001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*1 - sqrt(243)) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 + -240. Let q = 35 + -32. Find j, given that -6*j**3 + f*j**2 - 5*j**4 + q*j**4 + 5*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 7*n + 3 - 12*n + 4*n.\nAnswer: -n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n**5 - 20*n**5 + 5*n**5 - 2*n**5 + 3*n**4 - 3*n**4 + (-19*n**4 + 4*n**4 - 3*n**4)*(-n + 3*n - 3*n).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25231518839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + 0?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/(59\/3835).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1175 = 2*k + 5*h, -h + 513 = 2*k - 642. Calculate the highest common factor of 100 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*n - 380, 2*u - 400 = -5*n + 3*u. What is the least common multiple of 90 and n?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278652734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 1146 = -7*q - 2*s, -q = s - 392. Calculate the greatest common divisor of 4 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 10*c - 11. Let x be z(8). Solve 4*r - 3*r = 4, r = -x*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(16\/(-1008)*9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002266861183 rounded to six dps?\nAnswer: 0.002267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bc + -4?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acnaancaacaancnaana. Give prob of sequence ac.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4.2. Let j be (-25)\/10*(0 + 2). Let y(q) = -q**2 + 8*q - 9. Let u be y(7). Which is the closest to u? (a) 1\/4 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**2. Let h(r) = -641*r. What is m(h(d))?\nAnswer: 3287048*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1870000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -755 + 754. Suppose -8 = -7*h - 1. What is the closest to 1 in -2\/9, 2, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96582 (base 10) to base 5\nAnswer: 11042312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)*u*u\/u**(-1\/4))\/(u**(-1)*u*u)**(-25) assuming u is positive.\nAnswer: u**(1643\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 500180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/120 - ((-3842)\/(-560) - 3). Let t be 2\/(-2) - (-11)\/(-5). Let k = u - t. Is k equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-45) + (-393)\/(-6048) and -79\/112.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54270217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r + 0*r**2 + 1\/3*r**3 - 3. Let f(p) = -p + 5*p + p. Calculate f(j(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78301 - 12841407\/164. Find the common denominator of j and -52\/451.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 368\/5 + -73. Let r(j) = -j**2 - 5*j - 1. Let p be r(-5). Which is the nearest to p? (a) h (b) 0.5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6046.96 - -6047. Which is the smallest value? (a) 3 (b) -0.3 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 192.\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 28, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1057\/262944 - -1\/1826. Let p be (-13)\/(-60)*(-2035)\/264. Let x = p - v. What is the third biggest value in -2\/3, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 80 = 4*l, 4*l - j + 6 = 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 362, 340, 316, 308, 334, 412?\n\"Answer: 3*w**3 - 19*w**2 + 14*w + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/8 + 3*c**3 + 27*c**2\/4 + 6*c + 15\/8 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 9*u + 3 - 6*u - 10*u**3 - u**4 in the form d*u**4 + r + x*u + t*u**2 + n*u**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12463.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.3003 (c) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 203000021?\nAnswer: 203000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/4 and 149\/11250.\nAnswer: 22500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -210*z. Let d be u(-1). Suppose 2*p - 3*i = 28, -i = -5*p + 10289 - 10258. Calculate the greatest common divisor of p and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/90 and -59\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5141897*h**4 - 14770*h**2 + 2001.\nAnswer: -123405528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: c0c (base 14) to base 7\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 232*t. Let n(g) = -52*g**2 - g + 7. Determine n(l(x)).\nAnswer: -2798848*x**2 - 232*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 u when four letters picked without replacement from fuedwufhe?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 12:52 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -10*a**3 + 710626*a**2 - 12624945982*a + 7574711766 = 0?\nAnswer: 3\/5, 35531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20215 + -233708770.\nAnswer: -233728985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/5 - 10878436*r\/5 - 29585092451524\/5 = 0. What is r?\nAnswer: -5439218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**4 + 86409374*k**3 - 145547111 wrt k?\nAnswer: -8*k**3 + 259228122*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 + -214. Let g = -72 - s. Let k(x) = -85*x - 17. Is 13 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 + 13*d + 61 - 268 - 29*d to the form o*d + b and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + r**2 - 61 + 118.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7511, -15046, -22591, -30152, -37735, -45346, -52991, -60676?\nAnswer: -68407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216734?\nAnswer: 2, 7, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/2 + 1617*l\/2 - 77714 = 0.\nAnswer: -1708, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**3*g*l**2 - 48823*f**3*g - 191*f**3*l - 12*g*l + g wrt l.\nAnswer: -10*f**3*g*l - 191*f**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*b*o**3*x**3 - 2*b*o**2 + 12*b*o - 4*b*x**4 + b*x**3 - 4*o**3 - 2*o**2*x - x**3 - 2*x**2 wrt x.\nAnswer: -330*b*o**3 - 96*b*x + 6*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -7*r - 177. Suppose 4*y - 7 = 1. Let a(o) = o**3 - 211*o**y + 211*o**2 - 2. Let c(n) = -3*n**3 + 9. Determine r*a(l) + 2*c(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12350.957 times -4?\nAnswer: -49403.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013530 (base 10) in base 7?\nAnswer: 11420620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*a - 8 = 3, -5*g = -4*a + 3. Let o = 1 - g. Let m = 2\/73 - -136\/365. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 143, 218?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 15) to base 9.\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {d: 8, l: 2, f: 4, s: 1, m: 1, k: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 77.02416 weeks?\nAnswer: 46584211.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20837147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.7407 to the nearest integer.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1144 = 16*j - 13*j, -373 = -j - 3*i. What are the prime factors of j?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 k when four letters picked without replacement from {k: 10, s: 1, f: 2, q: 1, m: 3}.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/1050 and -47\/2025.\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/6)\/((-2)\/(-6)). Suppose 0*j + 4*j = b - 74, 349 = 5*b + j. Let q = b + z. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 358\/17 (b) 4 (c) 770\/9 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let i(p) = p**3 - 4*p**2 + p - 3. Let k(u) = i(u) - q(u). Let l be k(4). Let s = 19 + l. What is the highest common divisor of 128 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 18155066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r**2 + 22 - 22 - 35*r**2)*(102*r - 357*r - 78*r) - r**3 + r**3 + r**3.\nAnswer: 15652*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2088\/3654)\/((-34)\/(-21)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = c + u - 39, u - 3 = 0. Suppose -1 = 4*v + 2*l + 1, -4*v - c = -3*l. Let y = 7 + v. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 6, 1 in decreasing order.\nAnswer: 6, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -f + 2, -4*p + 2*p + f = -19. Which is smaller: 23\/4 or p?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6438.\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/100 + (3168\/18200)\/3.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/236 - -12129\/1180. Find the common denominator of s and (-2)\/(-6) + 0 + 16.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o - 9. Suppose -2 = 5*h + 18. Let t = h + 8. What is the remainder when m(t) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 696, -905 in descending order.\nAnswer: 696, 146, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 32*g**2 - 884*g + 27260. Determine h(35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.8 + -23.2. Let d = -136 - f. Let w = d + 48. Sort w, -3, -4 in increasing order.\nAnswer: -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l + 4. Let d be r(0). Let o = 2451 + -1266. Is (d\/(-12))\/((-5)\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/(-81) - (-1480805)\/338355)*(-2)\/7.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h\/((h\/(h*h*h*h**(3\/4)))\/h)))\/h)\/h)\/h*h)\/(h*h*h**23\/h))\/(h**(-4\/9))**49 assuming h is positive.\nAnswer: h**(-287\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 896437 and 7.\nAnswer: 6275059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-15) + -7 + 4. Put a, -4, 2 in increasing order.\nAnswer: -4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1070, 2123, 3176, 4229, 5282?\n\"Answer: 1053*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1550 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0.03, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 16) in base 7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 - 2*u + 2. Let z be r(-2). Let c be z*(60\/8 - 1). Calculate the greatest common factor of c and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - c - 1. Let q be d(-1). Let x(b) = b**3 + 5*b**2 - 3*b - 7. Determine x(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49836656 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d4c7 + 2?\nAnswer: -d4c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -57, -35, 3, 63, 151?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23398770 is divided by 1498?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:31 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - -7. Suppose -4*f = -16 - 4. Let m(k) = k**3 - 4*k**2 - 3*k - 3. What is the remainder when u is divided by m(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-260)\/3)\/((-8)\/(-36)). Let t = -277 - j. Calculate the remainder when t is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 74 = 3934*y - 3932*y, 0 = 5*t - 3*y - 201 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/3 + 49144*u**2\/3 - 5522944*u\/3 + 51606016 = 0.\nAnswer: -24684, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) + (-644)\/18. Let b be (0 - s)\/3 - 1. Let a = b + 7. Solve p = 3*i - 14, 0*p - 3*p + a = 3*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779 = 2*h - 5*w, 3*h + 0*w - w = -1188. Suppose 0 = 8*v - 13*v + 5430. Let c = h + v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -613 + 640. Solve -33 = 6*b - p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450702425?\nAnswer: 3, 5, 67, 288697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0*a**2 - 9*a + 1 - 10 - a**2. Let r(d) = -d**2 + 9*d**2 + d - 8*d - 7*d**2. Let y be r(6). Determine s(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 0*x + 0*x)*(-4 + 0 + 3 + 0 + 4 - 6 + (-3 + 1 + 1)*(1 + 0 + 1) + (-1 + 4 - 1)*(-3 + 1 + 3) + 0 + 1 + 4) in the form f + p*x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*l + 40 - 141 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298777*b**5 - 63*b**3 + 8871*b**2 - 1695 wrt b.\nAnswer: 17926620*b**2 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*170\/(-544)*-104\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 182\/(2\/300*3). Let r = v + -13300. What is r rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174856 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 45. Find the common denominator of 1\/g*(-15)\/30 + 3 and 5\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 + -242.2094.\nAnswer: -239.9094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:52 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 9853?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238364436 divided by -6.\nAnswer: 39727406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*l + s - 138, -5*l + 5*s = -240. Suppose 0 = -17*z + 7*z + l. Solve -2*v - 2*n = v + 16, 26 = -z*v - 3*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - w. Suppose -3649 = 2*t - w*t. Let f be 2\/(-2) - 1151*t. Round f to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 214 - -5?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6979752 and 4368.\nAnswer: 97716528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.3 + 29.8. What is the nearest to -1 in d, 7, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21937\/229 or 96?\nAnswer: 21937\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14*n**3 + 9*n**2 - 5*n - 103. Let p(x) = 11*x**3 + 9*x**2 - 4*x - 104. Let w(f) = -5*p(f) + 4*t(f). Factor w(q).\nAnswer: (q - 6)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*n = -682*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 7. Let r = 15 - 12. Let t(k) be the third derivative of 13\/6*k**r + k**2 + 0*k - 1\/12*k**4 + 0. Give 11*j(s) - 6*t(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 319873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 29 - 71*x)*(0*x**2 - 5*x**2 - x**2) to m*x + j + z*x**2 + n*x**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + k + 12 = 3, -3*j + 3*k + 12 = 0. Suppose -10*o + 6*o = -8. Let f(z) = -5*z + 22. Let h be f(o). Solve j*s - h = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994025.7 milliseconds in microseconds?\nAnswer: 994025700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159) + sqrt(3159)*2)\/(2*sqrt(363)).\nAnswer: 27*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 245*c - 222*c + 324 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141038 is divided by 1974?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -422, -669, -940, -1247, -1602, -2017, -2504?\n\"Answer: -2*x**3 - 233*x - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94f2a4 (base 16) in base 11?\nAnswer: -5567a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**7\/1050 - c**6\/200 + c**5\/300 + c**4\/40 + 150*c**2. Factor w(x).\nAnswer: -x*(x - 1)*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14394312 from -1.31.\nAnswer: 14394310.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112) - (sqrt(112) + (sqrt(112)*-1 - sqrt(112)) + -2) - sqrt(112) - (1 + sqrt(112) + 5)))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19504 + 7061 - 16169 = -5298*s + 3176 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1)*(-16*v**2 - 20*v**2 - 8*v**2) + (3*v - v - 3*v)*((4 - 1 - 2)*(-v + v - 2*v) + 3*v + 5*v - 4*v) in the form x*v**2 + p + i*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 + 86*s + 13. Give c(-10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-36))\/((11\/(-121))\/(-1))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*v + 503*v + 5*f = 6, 2*f = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71404, -146391, -221380, -296371, -371364, -446359, -521356?\n\"Answer: -f**2 - 74984*f + 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 7 + 0*l**2 + 80 + 25*l**3 + l**2.\nAnswer: 25*l**3 + l**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 1, q: 1, p: 2, j: 1, l: 1}. What is prob of sequence gp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17645526168122 plus 20?\nAnswer: -17645526168102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -81a (base 15) to base 12\nAnswer: -1081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10555917*g**2 + 2 - 2 + 48563810*g**2.\nAnswer: 38007893*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**10*f)\/(f*f*f**(-4)*f))**(2\/17) assuming f is positive.\nAnswer: f**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 41. Let y be j(-33). Let d(p) = 2*p**3 + 5*p**2 + 3*p. Let u(f) = 3*f**3 + 8*f**2 + 5*f. Calculate y*d(m) + 5*u(m).\nAnswer: -m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/36 and 71\/2968.\nAnswer: 26712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1144.038601+-178\nAnswer: -1322.038601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 10*q**2 + 28*q - 3. Let d be f(6). Suppose 3*n = 3*v - 25 + 61, 0 = -4*v. What is the greatest common factor of d and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -33081*a - 330801. Determine b(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by -34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36928 rounded to three dps?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -90*4\/(-9 + 1). Suppose -2*m + b = -65. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34161.853 + -825.\nAnswer: 33336.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 39*y - 5*y = 0. Let f = -0.7 + 0.6. What is the closest to f in 3, 1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40141\/11 + 3649. Which is the smallest value? (a) x (b) 3 (c) 3\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a13 + -223?\nAnswer: 27d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2941637, -2941636, -2941635, -2941634, -2941633, -2941632?\nAnswer: -2941631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 227905768?\nAnswer: -227905768.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 2264 in descending order.\nAnswer: 2264, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/18)\/((-84)\/(-126)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.5, 2\/167, -6 in decreasing order.\nAnswer: 6, 2\/167, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/6 + 144535*v\/3 + 20890366225\/6 = 0. Calculate v.\nAnswer: -144535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1\/4 (c) -0.03 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22 - 17) + 1 + 3. Let p be x\/7 + 3\/(-3). Let z = -37 - -149\/4. Which is the closest to p? (a) z (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255\/269 or 0.2?\nAnswer: -255\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010000 + 1?\nAnswer: -101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 1)*(z + 4*z + z).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 25 - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ac2 - -11da3a?\nAnswer: 11ce68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010001110111101001 - -11?\nAnswer: -100011010001110111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-6 - -1) - 34) + -35 + 40.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 261117726 to the power of 1\/3, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1.1, -0.4, -4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 5.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*h - 77*h + 91800 = 84*h. Calculate the lowest common multiple of h and 765.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-3*(-2)\/6). Let v = 15 - h. Calculate the smallest common multiple of -1 - (-1 - (-10 - -22)) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159316271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 1945*r**5\/3 + r**2 - 287*r. Suppose -4*x = -o, 4*x - o - 2*o = -8. Let h be q(x). Round h to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/297472 and -19\/154048.\nAnswer: 8626688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1953152 * -374\nAnswer: -730478848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, m: 4, x: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {j: 2, m: 3, i: 6, r: 2, g: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42170503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -246, -197, -128, -33, 94, 259, 468?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {u: 3, h: 10, q: 1, g: 2}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 + 0*i**3 + i**4 - 3*i**2 + 5*i - 6*i - 2*i**3 as a + l*i**3 + g*i**2 + f*i + q*i**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -n - 15309. What is the common denominator of -44\/27 and 1 - (-9)\/(n\/(-354))?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n)\/n)**(-4)*(n**6\/n)\/n**(-14) assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4926 + 1384. What are the prime factors of b?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11231 - -2945. What is v rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 22*i - 123. Let f be v(13). Let t(l) = -46*l - 274. Let k be t(f). Solve 4*b + h = 6, 4*b + 2*h - k = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**7\/10 - l**4\/6 - 11*l**2\/2 + 2. Let k(g) be the second derivative of w(g). What is the second derivative of k(t) wrt t?\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + 3*t**5 + 2*t**5 + (-2*t**3 + 0*t**3 + 0*t**3)*(-2 - 2 + 3)*(5 - t**2 - 5).\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651020940 a multiple of 1600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4687630*q**3 + 14*q - 123633872 wrt q?\nAnswer: 14062890*q**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0125037 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is bdd6 (base 14) in base 7?\nAnswer: 164656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. What is the least common multiple of -1 - 2 - ((-8)\/12 - 48\/9) and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - p + 4)*(p + 4*p - 4*p)*(-11 - 1 - 4) in the form x*p + k*p**2 + u and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -50081 minus 5?\nAnswer: -50086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 7*d - 35 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-1)\/(-2)). Let w(g) = -2*g - 19. Let v = 28 + -35. Let q be w(v). Sort 0, q, x.\nAnswer: q, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {a: 1, u: 1, o: 2, m: 1, q: 4, l: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(208) + -1 + sqrt(208) + 0)**2.\nAnswer: -16*sqrt(13) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30351 - 21205 - 8258 + 10261 + 11857 - 48082)*(-2*w**3 + 3*w**3 + 2*w**3) to the form l + o*w**2 + x*w**3 + h*w and give x.\nAnswer: -257334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -x - 3 + 5, 0 = -4*a + 3*x + 8. Let i = 3 - 1. Suppose a*m = -i*m. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -167. Let n = h - -117. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.97 - 38.02247. Let n = 0.0563 + i. Round n to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-5\/7))\/s)\/s*s**(2\/41) assuming s is positive.\nAnswer: s**(219\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -6*j**4 + 3158*j**3 + 404188*j**2 + 6265640*j - 14173200 = 0.\nAnswer: -90, -62\/3, 2, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a*a\/(a*a*a**(-2))*((a**(-1\/3)*a)\/a)**1)\/((a**(-2))**3)**(3\/29) assuming a is positive.\nAnswer: a**(-62\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 217.101 or 45?\nAnswer: 217.101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + -5 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3 + 6*w**2)*(-w**2 - 9*w**2 + 29*w**2).\nAnswer: 114*w**4 + 38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 506915431 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -72*f + 5. Let r be n(1). Let v be 1\/4 - 2547\/(-36). Let a = r + v. Calculate the lowest common multiple of a and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:12 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -236\/3. What is the smallest value in 1, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((100\/(-16))\/(-5))\/(4\/16). Suppose a*i - 6*i = -144. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a94fb (base 16) in base 9?\nAnswer: -3244608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -967\/128, 14\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -152 - (110 + -64 - 100)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 435105042 a multiple of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 113\/4. Suppose 0 = 4*s + 8, 5*z = s + 236 + 16. Suppose -z = 5*r - 185. What is the common denominator of a and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 4:30 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4043085097 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:03 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0118 times 0.1?\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2))\/((v*((v\/((v*v\/(v\/(v\/v**(2\/29)*v*v)))\/v)*v)\/v)\/v)\/v*v)*v**(-18)\/((v\/(v*v*v**(14\/5)\/v*v*v))\/v))**(2\/25) assuming v is positive.\nAnswer: v**(-2108\/3625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 0*x + 3*g + 150, -250 = x - 43*g + 48*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 10)*-1 + (-165)\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149270.337 nanoseconds to days.\nAnswer: 0.0000000017276659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-5) - -12*(-12)\/360. Solve 2*x = -3*x + 3*v + 4, 6 = h*x - 3*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 242*i.\nAnswer: -2*i*(i - 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 2. Let s(l) = 2909. What is i(t) - s(t)?\nAnswer: t - 2911","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 30*q**2 + 22*q - 11. Let c = 8 - 30. Is a(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + s - 1. Suppose -2*u + 4 = h, -12*h + 7*h = -u - 9. Let l(d) = 16*d**2 + d - 1. Give u*l(y) - q(y).\nAnswer: -y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.244113 millennia in centuries?\nAnswer: 2.44113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2613 divided by -871.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v + 31*v = -34*v - 154 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*j - 289*j - 2223*j + 1252*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 14*a**2 - 10*a. List the prime factors of f(13).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4328738 (base 11) to base 9\nAnswer: 15278224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -2 (c) -4 (d) 0.3 (e) -3\/1142 (f) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 585\/(-85) + 12 + -5. Which is the nearest to -4\/3? (a) 8 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/276 and 10 + 22*(-203)\/336?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50454762 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 180*g**2 - 498*g + 2799. Determine r(-177).\nAnswer: -3042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 95, 13.\nAnswer: 0, 6, 13, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99783 is divided by 4989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/(f*(f*f*f**(-28))\/f)))*f)\/f)\/(f\/(f**(-2\/51)*f)))\/(f**(-12\/11)*f*f**(-20)) assuming f is positive.\nAnswer: f**(26396\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.8 times -7278?\nAnswer: 347888.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -10, 2*s - 3*v - 345 = -s. Let b(t) = -4*t - 7. Let l = -18 - -13. Let p be b(l). What is the highest common divisor of p and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:38 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 s when three letters picked without replacement from sssssses.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 0.7, 41.4, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = c - 24, -41 = -5*v + 17*c - 19*c. What is the remainder when 376 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjwj when four letters picked without replacement from jwqjyqqyywyqjj?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + 5. Let q(f) = -f**2 + 2. Let w be (-2)\/5 + (-27)\/(-5). Let r(p) = w*q(p) - 2*b(p). Let k(m) = 2*m. Give r(k(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 919. Let x = a + 798. Suppose 6*j - j + 2*f = x, 0 = -f - 1. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -112323?\nAnswer: -112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2646 by 16.\nAnswer: 1323\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 167923 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 divided by 58?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 36 = 0. Let y be 2\/(-9) - (-14)\/w. Let f be (-2 - -2) + (y - -18). Solve q + f = -4*n, n + 28 = 4*q + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b**3 + 0 + 0*b + 30*b**2 + 0*b**6 + 1\/7*b**7 + 2\/5*b**5 + 0*b**4. What is the third derivative of a(v) wrt v?\nAnswer: 720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001065468805 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4605 divide 58603605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -83924\/16419 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4\/7 (b) 0.4 (c) 19 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*y + 518 = 111*y. Calculate the highest common factor of y and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732896 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 38*p = -77 - 52. What is the third smallest value in 0.3, p, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-56)\/(-4) - -1) + (-3)\/1 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3 and 137\/(-30) + -6 + 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341168732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 61*q - 177. Determine v(36).\nAnswer: 2019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (0 - 1) - 1. Let g(y) = -y**2 - y. Let q(z) = -52*z**2 + 25*z**2 - 5*z + 2 + 24*z**2. Calculate m*g(c) + q(c).\nAnswer: -c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.143426964 rounded to 2 dps?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12734 = -a, 3*q - 2*a - 16830 = 21352. Does 134 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10112022 (base 3) to base 10\nAnswer: 2573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2379998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.8511km to millimeters.\nAnswer: 639851100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 4*c - 4*h + 98, -190 = 4*c + 2*h. Let i = 34 - c. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.69321 rounded to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1012 and 974468?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -132 - -166458?\nAnswer: 166326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137320 is divided by 2452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwwkkkk. Give prob of sequence wwkw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342 + 303 = -43*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1172035580.99999552 + -1172036003. Let b = 422 + p. Round b to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.5, 78442, -2\/3 in descending order.\nAnswer: 78442, 2\/7, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -487.\nAnswer: -487, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + t**4 + 2*t**4 + (0 + 0 + 2*t)*(4*t**3 - 2*t**3 + 0*t**3) + (4 - 5*t**2 - 4)*(-3*t**2 - 5*t**2 + 4*t**2).\nAnswer: 26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5443*h + 61342 = -209953 - 109715 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14507587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k + 2457 = 46*k. Let u be 2*1*k\/(-486). Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 473 and 23419?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 25 - 5*f**2 + 2 + 12 in the form v*f + u*f**2 + s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/490*-5*10\/(-15).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3090 and 13237251?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/114 and -99\/4317826.\nAnswer: 12953478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from uaaaaiadauauuuucauaa.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 4*z**2 + z**2 + (2*z - 2*z + 2*z)*(-z - z + 5*z)*(165 - 42 + 64)*(3 - 4 - 1) to the form q*z + i*z**2 + f and give i.\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-146)\/(-292))\/((-1)\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 588 and 592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and 1.111.\nAnswer: 34.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -15, 1450?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 + 1 + 1368*z**2 + 2 in the form k*z**2 + a + y*z and give k.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44158862?\nAnswer: 2, 11, 97, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4674615 or 4674618?\nAnswer: 4674618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.356 (b) -5 (c) 0 (d) -1\/2 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2762, -4126, -5490, -6854?\nAnswer: -8218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)\/(h*h**(-9)))\/(h**2)**(-2\/97))\/(h**(3\/8)*h*h**(-2\/9)*h**(-1)*h*((h\/(h\/h**6)*h)\/h)\/h*h) assuming h is positive.\nAnswer: h**(4459\/6984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10988 - -67104280577\nAnswer: 67104291565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-3))\/(-11 - -10)*-1. Solve r*x + 0*x**3 - 1\/3*x**5 + 0*x**2 + x**4 + 0 = 0 for x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q + 0*q**4 - 1\/3*q**3 + 1\/60*q**5 + 0 - q**2. What is the first derivative of p(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uzvuzuuuz?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.75430017 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 14*b**2 - 12*b - 9. Let y be u(13). Which is smaller: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 1, k: 1, c: 1, h: 1, l: 1}. What is prob of picking 1 y, 1 n, 1 l, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13376660197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 + -113. Solve -3 = 2*l - m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/133 - (25\/(-6) + (-138)\/(-828)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100100110101110?\nAnswer: -100100110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4.07, 464, -13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10\/2 + -648)\/(3\/(-27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15.8 and -99 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644310 is divided by 490.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 51052035?\nAnswer: -51052055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5 - 60*k - 5*k + 13*k + 3*k**3 wrt k.\nAnswer: -40*k**3 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 39*h - 30. What is the smallest common multiple of 20 and j(-40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Suppose 86*c + 2239227 = 263*c. Round c to the nearest one hundred.\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4\/15 - 14*p**3\/15 + 34*p**2\/15 - 6*p\/5 = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(36)\/(sqrt(12)*3) - sqrt(81)\/sqrt(3))**2*-2.\nAnswer: -98\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5275.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*((sqrt(63) - (sqrt(63)*-3 + sqrt(63))*-5)\/(-5*sqrt(144)) + 3))**2.\nAnswer: 135*sqrt(7)\/2 + 4167\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 165 = 0. Let t = i - 18. What is the remainder when 59 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*h**2 + 162*h**2 - 321*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218*z**3 + 8894*z**2 + 4137789*z wrt z?\nAnswer: -1308*z + 17788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - s**4 - s**3 + 2*s**2 - 4*s**2 + 3*s**3 to the form z*s**2 + u*s**3 + h*s**4 + j + p*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96266.03 millennia to decades.\nAnswer: 9626603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 + 12*n - 76. What is z(8)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/475 + -4243\/7600. Let g = s + -15\/16. Which is the second biggest value? (a) 0.3 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 765\/105 - 2\/7. Suppose 83 = i*j - 71. Let y = j + 6. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*w + 4*d - 10, 0 = w - 2*d + 2. Solve m - 26 = -2*m - 5*r, -6 = m - w*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(-825*v + 1641*v + 3*v**2 - 824*v) - 2*v**2 - 2*v**3 + 2*v**2.\nAnswer: -8*v**3 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:17 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -128. Let b be ((-22)\/a)\/((-2)\/9). Let i be b + 5 + 15\/(-5). Solve i*j - 7 - 18 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 4*u**3 - u**3)*(3*u**2 + 7*u**2 - 2*u**2).\nAnswer: 24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j + 4. Suppose 7*k - 22 = -22. Give a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {l: 4, i: 2, k: 1, g: 2, t: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 360*y + 16200.\nAnswer: 2*(y - 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -66992.\nAnswer: -3\/66992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 2. Let h be d(0). What is the second derivative of 3*l**2 + h*l + l**2 - 4*l**2 - l**2 wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -1 + 4.\nAnswer: 3 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.2. Let p be 0 - (-3 - 1 - -2). Suppose 0 = -9*i + p*i + 14. Sort 5, n, i in decreasing order.\nAnswer: 5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 13) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124626 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((2\/21)\/2). Let i be 84*(v\/12 - 1). Let k be 2 + (i\/6)\/(-7). Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8492 - 36*p + 8492 + 46*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 87*h - 3. Let j(d) = 2*d - 2299790 + 2299790. Determine j(c(n)).\nAnswer: 174*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*z**3 + 3972529*z**2 + 4270616*z?\nAnswer: -48*z + 7945058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from ofaowwfauwru?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 91*y**2 + 683*y - 245. Determine f(-98).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7864899613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 19 = 2*k - k, 4*k - 2*l - 14 = 0. What is the tens digit of (-1)\/(-2)*58*k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 + 13*a + 1. Give d(-5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**4 - 2*l**2*v**2 + l**2*v + 1236*l**2 + l*v**2 + 2*l - 10134169 wrt l?\nAnswer: -48*l**2 - 4*v**2 + 2*v + 2472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 13*t**3\/6 + 55*t**2\/2 + 111*t. Let p be z(-4). Solve w + 2 - p = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*h + (2 - 2 + 2)*(1 + 2*h - 1) + h - 3*h + 3*h + 212*h - 65*h + 213*h)*(0*h**2 + h**2 + 2*h**2).\nAnswer: 1089*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -2.7. Let n = -0.9 - s. Let o = 3 + -4. What is the third smallest value in 2\/7, n, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b = 448 - 220. Solve 3*s - 2*l - 8 = -b*l, 11 = s + 3*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 4 + 13*m + 4. Let q be z(1). Let j be (12 - q)\/((-4)\/6). Put j, -6, -1 in descending order.\nAnswer: -1, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9779957 divided by 2?\nAnswer: 9779957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**4 - n**4 + 3*n**4 + (-3*n**2 - 2*n**2 + 4*n**2)*(3*n**2 - 3*n**2 - n**2) + 68 - 68 - 6*n**4 to s*n**2 + x*n + t*n**3 + j + u*n**4 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:15 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31535.9 + 0.097.\nAnswer: 31535.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71274 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 881*v**2 - 18*v - 55. Is p(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 79*h**2 + 712*h + 6. Determine t(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-2\/3)\/y)*y*y*y**(-3)*(y\/(y\/y**(1\/3))*y)\/y**(2\/13) assuming y is positive.\nAnswer: y**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 33 = 0, -5*s = 4*x - 48 + 14. Let b(f) = 2 - 16*f + f - 3. Give b(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*q + 261*q + 7 - 19 = 0. Solve -18 = -q*r - 0*g + 3*g, 29 = 3*r - 5*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8344 and 12?\nAnswer: 25032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -225, 4, 3\/8, 1\/18, 2\/3?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 1100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 9) to base 14.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 4*a - 2*a + 4*a + 0*a + (-3 + 1 + 1)*(-2*a + 2*a - a) + 2*a - 4*a + 0*a - 1 - 2*a + 1 + 12*a + 12 - 12)*(0 - 2 + 0).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 143 + 172c0?\nAnswer: 17433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -22. Is (98\/4)\/(x\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.13 + 0.23. Let n = g - -2.2. Let d = 1.3 + n. Round d to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 972 - 95378?\nAnswer: -94506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:35 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.5468g in nanograms?\nAnswer: 954546800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*j + 7, 5*n + 2*j - 8 + 11 = 0. Which is the third biggest value? (a) 0.039 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u)**4)**(-25))**(1\/2) assuming u is positive.\nAnswer: u**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0, 2\/7, -6\/25 in increasing order.\nAnswer: -6\/25, 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7395 less than or equal to -7396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/5)\/x)\/(x*x\/x**(-5)*x))\/(((x**(2\/5)*x)\/x)\/x**6) assuming x is positive.\nAnswer: x**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14157*z = 14206*z - 1274 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159953568 and 256?\nAnswer: 1279628544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 19. Suppose -5*b = 2*f - b + 28, 5*f = 2*b - 34. Let d = 8 - f. What is the units digit of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5490.74 - 0.3.\nAnswer: -5491.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001867 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65018 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1296)\/264)\/(-9))\/(-6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1754683*r**3 - 370271832*r**2 - 2?\nAnswer: 10528098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1700891291 and -0.33405.\nAnswer: -1700891291.33405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 2. Let r(j) = -6*j - 10. Let u(i) = -6*r(i) + 33*w(i). Let f be u(6). What is the lowest common multiple of 14 and (-3)\/f + (-132)\/(-16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8570473 to the nearest 100000.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 3, 81 in ascending order.\nAnswer: -6, -3, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + 2) - 11 - -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 663*g**3 + g**2 + 798*g**3 + (0*g**2 + 3*g**2 - 5*g**2)*(4*g - 3*g - 3*g).\nAnswer: 139*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 307067286 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 2*m)*(-11 - 90 - 234 - 140).\nAnswer: 950*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s = -2*s + 2354001 - 2349529 for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 8. Let y = 0.08 - -0.22. What is the biggest value in y, -5\/2, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 61*g**2 - 216*g - 9110. What is o(-60)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10114 (base 6) to base 14.\nAnswer: 6bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*5987.6729\nAnswer: 2395.06916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12937693.\nAnswer: 1289, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16258.\nAnswer: 2, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 - 4*l + 8. Determine f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let p be n + -2 + 2\/2. Let o = 6516 + -6513. Solve o*h + 5 = 2*t, -p*h = 5*t + 2*h - 25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/939136 and 37\/261.\nAnswer: 8452224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1084*s = 1087*s - 4*i + 43, 2*i = s + 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 4 (c) -4 (d) 14 (e) -3 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1845, 6, 1, -4, 3, 4 in increasing order.\nAnswer: -1845, -4, 1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 36. Let j(d) = -d**2 - 4*d + 5. What is j(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82880 rounded to the nearest one thousand?\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134479 is divided by 1242?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/(-42)*63\/(-18). What is the greatest common factor of 1509 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*l - 8 = 0, -3*l - 12 = -2*d - 5*l. Let t be -1 - (-1 + (-10)\/2). Suppose -3*p + 6*p - 5 = 5*k, 3*k + 19 = t*p. Solve -k = -d*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/7 - 135684*m\/7 - 2301268482\/7 = 0 for m.\nAnswer: -33921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(132)*-2 - sqrt(132)))\/sqrt(12).\nAnswer: -6*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4 + 8. What is the second derivative of c**4 - 6*c**4 + 2*c**z - c - 2*c wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 + 3*k**2 - 4*k**3 + 2*k**3 - 4. Let c be t(-3). Let m be 42\/12 - (-2)\/c. Solve -18 = 2*f + 4*l, -m*f + 2*l = -3*l - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482569?\nAnswer: 482569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/50)\/((-1)\/(-12)))\/((-14)\/(-15))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 426*k - 8097. Let y be f(19). Let b(h) be the third derivative of -h**6\/15 + 5*h**3\/3 + h**2. Let w(j) = 3*j**3 - 3. Determine y*b(n) - 10*w(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 59356.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -32*x + 28. Suppose 4*d + 2*l = 324, 454 = 4*d - l + 112. Let s(y) be the third derivative of y**4\/24 - y**3\/6 + y**2. What is d*s(g) + 3*n(g)?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -142, -4 in descending order.\nAnswer: -1, -4, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103472738.\nAnswer: 2, 51736369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/5*u**3 + 136\/5*u - 4\/5*u**4 - 224\/5 + 108\/5*u**2 = 0. Calculate u.\nAnswer: -7, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 + 5*d - 2. Determine k(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -3*j**4\/4 - 4*j**2 + 2*j. Differentiate u(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*j**2 - 264*j**2 + 342*j**2.\nAnswer: 426*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-10)\/6). Let v = -316 - -315.7. What is the second smallest value in -2\/5, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*p - 409 = 2104 + 175 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13427577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408 and 12?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Suppose 4*q + 0 = 8. Let r(p) = 20*p + 0*p**q + 13*p**2 - 20*p. Calculate r(m(d)).\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -16*q**3 - 6*q**2 + 4*q - 3. Let n be k(2). Let o = 255 + n. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/(((-18)\/24)\/(1\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -399390 divided by 15?\nAnswer: -26626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 139 = -i, -5*i = -s - i + 68. Let m = 2587\/3 + -849. Find the common denominator of s and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(325)*4)**2*3*-6 + (-1*sqrt(325) + -4 + sqrt(325) + (sqrt(325) - (-2 + sqrt(325) + 2 + sqrt(325))))**2.\nAnswer: -93257 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1279218*o**3 + 3 - 1279334*o**3 + 1.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + sqrt(300) + 0 - sqrt(300) - (1 + 1 + sqrt(300)))*5*4)**2.\nAnswer: 16000*sqrt(3) + 121603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1888 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - x**2 - 4. Let k be s(-2). Let j = -21 - k. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 5\/11 (c) -1575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, n: 6}. Give prob of picking 4 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 5*r**4\/12 + r**3\/2 - 5*r**2. Find the first derivative of p(d) wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 9 - 9)*(0*u - 700*u**2 + 621*u**2 + u) in the form t*u + h*u**2 + m and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33294 divided by -16647\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 3*k + 445. Let y(x) = -5*x - 119. Let m(u) = 3*u + 68. Let s(a) = 7*m(a) + 4*y(a). Calculate c(s(z)).\nAnswer: z**2 + 3*z + 445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388581365 is divided by 190.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p + 2671 = 4*t + 38*p, 3329 = 5*t + 2*p. What is the highest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4713884 days to weeks.\nAnswer: 0.0673412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 4*k - 8. Let y be l(-7). Let g(a) = -a**2 + 16*a - 36. Let b be g(y). Differentiate r**b - 4*r + 4*r + 21 - 6 wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Let y = -6.4 + -38.6. Let q = y - -44.7. Which is the closest to -2? (a) 5 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 15*d - 13*d + 8 = 0, -2*d - 8 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2062661, 4125317, 6187971, 8250623, 10313273, 12375921?\n\"Answer: -k**2 + 2062659*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -128, -238, -348, -458, -568?\n\"Answer: -110*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 8:09 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (210\/(-1092))\/((-8)\/208). Let b(n) = n - 14. Let h be b(7). Sort h, l, 10, 1 in decreasing order.\nAnswer: 10, l, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, m: 10, z: 4}. Give prob of sequence zee.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*p + 78*p + 252*p + 105*p.\nAnswer: 831*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 1. Calculate the remainder when 26 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 divided by 196.\nAnswer: 73\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3 - 1550*p**2\/3 + 3076*p\/3 = 0.\nAnswer: 0, 2, 769\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0459 and -16.\nAnswer: -15.9541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8354, 16487, 24602, 32699, 40778?\n\"Answer: -9*h**2 + 8160*h + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + 2 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439466.\nAnswer: 2, 29, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 241595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*i**3*x + 3955*i**3 - 7*i**2 + 6*i*x + 2*i - 2*x + 272 wrt i.\nAnswer: 228*x + 23730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 + g**4 - 3*g**4 + 3*g**3 - 3*g**3 - g**4 + (6*g - 7*g - 5*g)*(-4*g + g + g)*(-2*g**2 + 5*g**2 - g**2).\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2041*f + 4044 = -2167*f - 3642 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/3 - 65*y**3 - 8293*y**2\/3 - 5335*y - 7906\/3 = 0.\nAnswer: -134, -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 not equal to 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 5.2. Let v be (7 - 6) + 1*4\/(-10). Which is the second biggest value? (a) v (b) -10 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:24 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 8*z - 6. Let p be m(-6). Suppose 2*l - p = -0*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -4.89.\nAnswer: 2.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -252, -250, -236, -204, -148, -62, 60?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -994 or -995?\nAnswer: -994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3858957 rounded to 2 dps?\nAnswer: 13.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74487089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 921379229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6392 - 6391.97. Put -4, o, 4, 12, -0.4 in increasing order.\nAnswer: -4, -0.4, o, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*b, 36*o - 35*o = -2*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51.7 and 0.6.\nAnswer: 31.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 32, 47, 62?\n\"Answer: 15*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - h**2 - 4*h**2 + 25*h**3 + 4*h**2 - 15 + 162*h.\nAnswer: 25*h**3 - h**2 + 162*h - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969*u - 915*u - 921*u - 917*u + 3721*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srrrrrzrnrnrr. What is prob of picking 1 r, 1 s, and 1 n?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 48\/(-2*1))*189\/951426 and 59\/12?\nAnswer: 10068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34058332 != -34058333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1297, -438, -3337, -7406, -12651?\n\"Answer: -s**3 - 576*s**2 + 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 106*y + 4)*(-233 - 2*y + 231 + 3*y) - 3*y**2 + 2*y**2 - y**2.\nAnswer: 104*y**2 - 212*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2*4\/(-32))\/(15\/24)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001 + 100111111?\nAnswer: 1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from zaecmzkc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = o. Let h(r) = r**2 - 4*r + 1. Let g be h(o). Solve g + 0 + u - u - u**2 = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*q, 0 = -4*m + 5*m + 3*q. Suppose 4*o - 2*t - 6 = 0, -5*o - m = -o + 5*t. Let n be ((-2)\/39)\/(3\/9). Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:54 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1b909?\nAnswer: -1b90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (9 + (-4 + -5 - -2) - -11)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 + 4*f**3 + 9*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((1 - 3) + (-25 - (-21 + -7))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 m when four letters picked without replacement from ghgmghhtmmjgmhhjhjh.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, s: 3, v: 3}. Give prob of picking 1 s and 3 v.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*s = 6, -s - 2 = 2*a - 5. Let q(t) = -t**2 + 5*t - 4. Let o be q(3). Let u(w) = 2*w**2 - w**o + w + 2 + 2*w - a*w. Give u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i**(1\/9)\/i)\/i*i)*i)\/i*i**(-12) assuming i is positive.\nAnswer: i**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3)*q)\/(q*q\/((q**2\/q*q)\/q)))\/(q**(-5)*q**(-2\/11)))**30 assuming q is positive.\nAnswer: q**(1930\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.247 and 0.274?\nAnswer: 0.067678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/433636 and 83\/6.\nAnswer: 1300908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 17*m**2 - 8*m + 13. Is a(19) 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 {e: 2, b: 8, a: 1, c: 1, g: 4}. What is prob of picking 2 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttttttjjjttjtt.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.69582 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62240*b + 3699 - 3699.\nAnswer: 62240*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6147 - -6155. Let z(p) = -8*p + 37. Give z(y).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*c + 10*c. Let u(t) be the second derivative of 7*t + 0*t**4 + c + 1\/5*t**6 + 0*t**5 + 0*t**3 - 3\/2*t**2. Differentiate u(k) with respect to k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1. Let b(u) be the first derivative of -u**2 - 4*u - 11. What is -b(r) + 4*v(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 7 - (1 + -4 - (0 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(1938\/152 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -319445 divided by 26\nAnswer: -319445\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 1\/330, 1\/8, -2, -3\/4, 0.34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158327 and 4?\nAnswer: 633308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33963687 != 33963689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 1382037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 10. Let v = 9 + b. What is the remainder when (-6 - (-3 - 0))*v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**3 - 5*c**2 - 8*c - 1. Let y(w) = -w**3 + w**2 + w. Determine q(b) + 5*y(b).\nAnswer: 4*b**3 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from tuiciuiuiuvb.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2 + 28718*o + 50066 wrt o.\nAnswer: 4*o + 28718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5\/2 - 12*q**4 + 21*q**3\/2 = 0. What is q?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 353777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 0*m + 2*m - 3*m)*(2*m - 6*m + 3*m) in the form d + i*m**2 + h*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -669 + 885. Let v = -216.3 + j. What is the nearest to 0 in -4\/3, v, 0.5, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3812.7 rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 24*z - 1. Calculate the remainder when 89 is divided by r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -3*(-1 - -2). Let h = 2 + -3. Let m = 2996 - 2995.6. Sort m, h, o in ascending order.\nAnswer: o, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11770\/(-61632)*48)\/(20\/54)?\nAnswer: -99\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) + (-525)\/(-20). Let h = -24 + r. Solve 4*u = h*n + 11, -3*u + 7 = n - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*y**3 - 2447584*y + 266424631 wrt y.\nAnswer: 93*y**2 - 2447584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24501*x + 5*i + 21 = 24503*x, 8*x = 3*i - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089*m - 26556000 = 1083*m. Round m to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -19*n**3 + 2530*n**2 - 398*n - 186. What is m(133)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 992 - 720. Suppose 27*w - m = 322. Solve -6*r - 5*r = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*l - 0*c - 3*c, -15 = -l - 4*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * 4469\nAnswer: -9831.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-7\/2)*o**6\/((o\/(o\/(o**(-6)*o)))\/o*o) assuming o is positive.\nAnswer: o**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 q, and 1 s when three letters picked without replacement from {s: 3, e: 2, k: 6, q: 2}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28523 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let l = -5 + 13. Let m = l - s. Which is the closest to 0.1? (a) -3 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 1. Suppose u - l = -0. Solve t = u - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s + 47. Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 37 = i, 3*s - 4*s + 17 = 3*i. Suppose s*n = 6*n + 50. Round n to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 25, 2*y = -2*x + 11 + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2445\/21158?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/6 - 1\/3. Suppose 60*r = 62*r - 298. Suppose -f*n - 39 = -r. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 4*w + 2. Let d be q(3). Suppose 63 = 4*u - 3*j, 40 = 5*u - j + 5*j. Let s = 7 - u. Which is the second biggest value? (a) d (b) 1\/8 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/4 - 3095*j\/2 - 2017146 = 0. What is j?\nAnswer: -4324, -1866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.777 kilograms in micrograms?\nAnswer: 210777000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -0.109 (c) -2.4 (d) 8.4 (e) 0 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*8*(15 - (-203)\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1\/43120, -4 in ascending order.\nAnswer: -4, 1\/43120, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 86 + 154 = 0. Let c = o - 32. Let h(r) = -31*r + 1. Let t be h(-1). What is the greatest common factor of c and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13011*l + 5582*l + 4387*l.\nAnswer: 22980*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 + 975 = -156*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.08384491.\nAnswer: 4.08384491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 689 + -684. Let k(v) = 5*v - 222. Let p(q) = -q**2 - 4*q + 223. Let t(d) = w*k(d) + 6*p(d). Differentiate t(s) with respect to s.\nAnswer: -12*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4465270 + 1465260 = -5*y + 2*g, -3*y + 2*g = -1800010. What is y rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) + sqrt(130)*-4)*5)\/(sqrt(10)*2*4).\nAnswer: -7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2959 and 335084.\nAnswer: -991513556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -441 - -414. Let y be 6\/((-4)\/((-72)\/b)). What is the second biggest value in -3\/5, y, 28, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1439, -1448, -1457?\n\"Answer: -9*j - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -40?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/10)\/((-120)\/3225) and 52\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45 - -0.05. Let i be -3 + 6\/1 - 0. What is the closest to -2\/5 in i, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -26*t + 28. Let d(b) = -45*b + 185. Does 10 divide d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**5 - d**4 + d**2 + d - 1. Let i(x) = -48*x**5 - 3*x**4 + 3*x**2 + x - 4. Let o(j) = i(j) - 3*r(j). Find the second derivative of o(c) wrt c.\nAnswer: -1020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1114999 - -1)*1\/(2\/(-4)). What is h rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 54000.03 decades?\nAnswer: 540.0003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9945*q - 9994*q + 8232 = 0. Suppose 0 = 3*r - 10 - 5. Suppose 0*d = r*d - 105. What is the greatest common divisor of d and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33563, -33534, -33505?\n\"Answer: 29*b - 33592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1270 divided by 2\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1517604.78 to the nearest 10000.\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(-15))**33 assuming q is positive.\nAnswer: q**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2658\/36605 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 6, y: 5, j: 2, o: 3}. What is prob of sequence jj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1. Let p = 4070 + -4071. Let s(r) = 2*r + 16. Give p*s(w) - 6*o(w).\nAnswer: -2*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -41, 3, -7.\nAnswer: -41, -7, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 6 - 5 + 6 - 3 in the form b + p*y**2 + c*y and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7063\/548937 - -2\/2187. What is the biggest value in o, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 5*q**2 - 4*q**2 - 2*q**2. Let y be t(1). Solve -1 = v - y*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6878 and 34998?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1)*(38\/(-133))\/((-4)\/(-5))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/60)\/((-78)\/(-13))*(-4)\/6.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {u: 1, x: 2, l: 1, w: 1, f: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40902.6 - -40903. Which is the third smallest value? (a) 2124 (b) k (c) 4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 664 = -4*g - 4*p, 4*g = -p + 655. List the prime factors of g.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 9:44 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270718606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 3805856?\nAnswer: 19029280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x + 6. Let t(a) = -a - 2. Give 4*t(y) + u(y).\nAnswer: -13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2972015 or 14860071\/5?\nAnswer: 2972015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*t + 24, -50 = f + 3*t - 34 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 + 134*y + 24. What is the hundreds digit of g(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0585154 - -0.05874. Round g to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 19 + 5. Suppose -11*n + 18 = -w. Solve -n*i + 3*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32610 by -17.\nAnswer: 32610\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkccckccccc. What is prob of picking 4 c?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 34, 39, 8, -71?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 58428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 - 6*c + 4. Let l(z) = z**2 + 6*z + 7. Let m be l(-5). Let i be (m*-3 - -4)*-2. What is h(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -17, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*v + 1 - 1 + 695*v.\nAnswer: 1668*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 2*d - 9*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b + 20 = 0. Is -19 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(42))\/sqrt(6)*-1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/4? (a) -5 (b) -0.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2051403 + -170?\nAnswer: -2051573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0*q - 1\/5*q**3 + 0 - 1\/5*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -23, -27, -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3)\/b**6)\/(b**(-1)\/b*b)**1)\/(b\/((b*b*b*b*b*b**0*b*b)\/b)*b*b*b*b**(-2\/11)*b*b**6*b\/b**1) assuming b is positive.\nAnswer: b**(-302\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1356 divided by -120.\nAnswer: 113\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2306 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:25 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-327 - 112 - 72)*(6*y**5 + 17 - 17).\nAnswer: -3066*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387 - 386.9809. What is y rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 4)\/3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(70)\/(sqrt(6)\/sqrt(3)))\/sqrt(5) + -1)*-2.\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j - 60210*j**2 + 30103*j**2 + 30107*j**2 - j**3.\nAnswer: -j**3 + 30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 3*g**2 + 3*g + 1. Let b be 16\/24*63\/6. Let w(f) = 2*f + 1 - 2*f**3 + 4*f**2 + b*f**2 - 9*f**2. Give -2*i(j) + 3*w(j).\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25713 <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2. Let j(w) = 5*w**2. Let x be ((637\/28)\/(-13))\/(1\/4). Calculate x*g(h) + 4*j(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79010 and 510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 5\/2, 6\/5, 52\/9.\nAnswer: -41, 6\/5, 5\/2, 52\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2877.\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -279 and 1.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4885\/6, -4, -21.8 in decreasing order.\nAnswer: -4, -21.8, -4885\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 2*y**2 - 2*y + 2. Let t(s) = 10*s**3 - 11*s**2 + 10*s - 11. Let k(i) = -22*j(i) - 4*t(i). What is the second derivative of k(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*i - 651*i - 615*i in the form u*i + d and give u.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -256 + 169. Let n = g + 86.4. Which is the second biggest value? (a) n (b) 2 (c) 0.3 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104978?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 3)\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 3\/25 (c) -2408\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -666*a**4 - 29*a - 18*a - 141*a**4 - 51*a + 17*a**4 wrt a.\nAnswer: -9480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219295 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*a + 28 = 0, 0 = 4*o - a + 9 - 93. Calculate the greatest common factor of 6 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*x - 3*q + 3, -4*x - 12 = 4*q. What is the second smallest value in x, 6.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 277.7 and 0.01?\nAnswer: 277.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9550 + 9545. Which is the second smallest value? (a) f (b) 2\/3 (c) -0.4 (d) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 13200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 239*s**3 - 476*s**2 - 713*s + 3. Determine p(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g**2 - 9*g - 23. Let c = -380 - -388. Does 23 divide z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 5. Let o be r(-5). Suppose o = 2*s - 117 - 263. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-10)\/(-6))\/((-1)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 486.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f. Calculate y(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -172*k**2 + 56*k + 599. Let u be x(-9). Round u to the nearest 100.\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 e, and 1 j when four letters picked without replacement from {a: 4, j: 5, e: 8}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Suppose -35 = -2*v - v + g*n, n = -3*v + 10. Calculate the remainder when 13 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 130 = -28*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-9)\/3)*(12\/3)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:46 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5963 (b) -71 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -61. Let n be (8\/6)\/(28\/r). What is the third derivative of d**4 - 11*d**2 - 15*d**4 + 6*d**n + 12*d**2 wrt d?\nAnswer: -336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 7*x**2 - 21*x + 145. Let m be j(7). Let t(s) = s**3 + 2*s + 1. What is t(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + b**2 + 6*b + 1. Let h be z(-3). Let p(q) = -q**2 + 15*q + 76. Let i be p(h). Solve -2*x + i = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4682, -18784, -42296, -75224, -117574, -169352, -230564, -301216?\n\"Answer: -r**3 - 4699*r**2 + 2*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 2*z**2 - 2. Let y be (-1 - -4)*(-1)\/1. Let o = 2 + y. Calculate k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594222?\nAnswer: 2, 3, 97, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hecweceqcch. Give prob of picking 1 q and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 172*j - 5913 = -349*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 908950?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -30.1. Put -3, s, 0.5, 0.3 in ascending order.\nAnswer: -3, s, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2))**40)**(-39)\/((p\/p**1)\/p*p**(-3\/8))**(-38) assuming p is positive.\nAnswer: p**(-18929\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 6. Let f be h(-7). Let n be (-2)\/8 - (-5)\/20. Let c = f + n. Sort 1, -4, c in descending order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 5 + 44 - 9927*k**2 + 1 to the form m + w*k**2 + j*k and give w.\nAnswer: -9927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 416*i**2 - 388*i + 2472.\nAnswer: -4*(i - 2)*(i + 3)*(i + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:28 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1\/2 (c) -1480\/1349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -2\/11, 0.187, -2\/387, 0.4, -678?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 - 7*c**2)*(-c + 6*c + 0*c + (-5 + 6 + 1)*(-c - 4*c + 3*c) + 2*c + 0 + 0 + c + 2*c - 2*c)*(31*c - 30*c - 8 + 7 + 20*c**2).\nAnswer: -640*c**5 - 32*c**4 + 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {b: 1, p: 4, v: 1, d: 2, w: 1, q: 3}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (14 - 13) + -4 - 26\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 1 - v**3 + 2*v**3 - 5*v**2 to the form y + k*v**2 + m*v**3 + u*v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42144 - -31002?\nAnswer: 123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 92 = 5*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 37) + (87 - 64).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 651.1 + -646.1. Sort z, 6721, 2\/7 in descending order.\nAnswer: 6721, z, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h + 20*h**3 + 2*h**2 + 0*h - 21*h**3 - 3. Let x be f(3). Let n(u) = 5*u + 5*u - 3*u - 1 - x*u. Calculate n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from fgggjjgffggffgfgfg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 1:27 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104451 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -536*s + 1508. What is the units digit of p(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (-15 - (-5 + -26)))\/((-58)\/32 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*m + 99 - 40 - 28 - 33.\nAnswer: 70*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16*v**3 - 2*v - 1. Let q be x(-1). Let o be q\/(3 - 45\/12). Suppose 0 = -i + 51 - o. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 7. Let o(k) = -k - 4. Let q(s) = -3*d(s) - 5*o(s). Let a = 21 + -21. Let x be q(a). Put -2, x, 2 in descending order.\nAnswer: 2, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7817792 and 0.02.\nAnswer: 7817792.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*m + 0 = 7, -4 = 4*m. Let h be -1*((7 - 3) + -3). Let u(z) = -3*z - 1. Let x be u(h). Put 1, x, i in decreasing order.\nAnswer: x, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -16*o + 2. Let l(w) = 17*w - 3. Let n(g) = -4*l(g) - 3*p(g). Determine n(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 2. Put 2, 0, i in descending order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-18 + 4 + 3)) + -3 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ssccccccccc.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*d**3 + 165*d**2 - 280*d + 60.\nAnswer: -5*(d - 6)*(d - 2)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 58?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 18 = -0*x. Let y = x - -16. Let r = 17 - 16. Calculate the smallest common multiple of y and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072 - 1072 - 762*t - 520*t.\nAnswer: -1282*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509 is divided by 4502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1038 and -19.\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4 + 67205768*f**3 + 2*f**2 - 7634899*f.\nAnswer: -24*f + 403234608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, i: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 48 = -11*k. Let n be (0\/((-4)\/(-2)))\/(-2). Suppose -p - 2 + 3 = n. Calculate the least common multiple of p and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(4\/33)\/(c**3*c)**(2\/65))**38 assuming c is positive.\nAnswer: c**(-304\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2)*j*j**5\/j*j**0*j*j**(-4) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -33. Suppose h = -5*m + 7*m. Suppose -m*s - 17 = -323. What is the greatest common divisor of 198 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140487 = 6*i - 58347. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a. Let r(x) = -3*x**3 + 5*x + 1. Let u(c) = -r(c) - 4*s(c). Let m(w) be the first derivative of u(w). Differentiate m(g) with respect to g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**4 + 88*p**3 + 332*p**2 - 1672*p + 1248 = 0?\nAnswer: -13, -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -92*v**3 + v - 1. Calculate l(1).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 26*u - 138 - 27 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -486646 and 3?\nAnswer: -1459938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10685172 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 1 - (sqrt(1584) - (-4 + sqrt(1584))**2).\nAnswer: -98*sqrt(11) + 1601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*c - 5591, -t + c = -2073 + 682. Suppose -3*w - 2*z = -t, 2*w - z - 143 = 791. Suppose -3*h - 127 = -w. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1518?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 141. Let c be (-4)\/6 + r\/36. Let p(u) = -6*u - u**c + 11 + 7 - 6*u**2 - 20. Give p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9560 at most as big as -9561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r - 1. Suppose -3 = 13*n - 16. Determine y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 9*y + 10. Let x be d(8). Is (-1 + 0)*(x + -165) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180740.\nAnswer: 2, 5, 109037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86.567, 2, -1 in decreasing order.\nAnswer: 2, -1, -86.567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 5 = -20*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(966\/(-56)))\/(4\/(-87)*(-4)\/(-8)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297 - 291. Let f(c) be the third derivative of -y*c**2 + 1\/20*c**6 + 0*c**5 + 0*c + 0 - 1\/6*c**4 + 0*c**3. Find the second derivative of f(n) wrt n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 801370 and 560959.\nAnswer: 5609590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 47. Does 22 divide r + 30\/4 - (-397)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -45*z**2 + 3*z - 2. Let h(p) = 275*p**2 - 19*p + 13. Let q(g) = 2*h(g) + 13*x(g). Let o(n) = -70*n**2 + 2*n. Give 3*o(v) - 7*q(v).\nAnswer: 35*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/68 and -35\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -3602408?\nAnswer: -3602408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -18*r. Let a be j(-2). Suppose -a = n + n. Let o = 20 - n. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51389 and 16985982?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -18*k**2 - 1. Give q(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(180))*2*-6 + ((sqrt(180) + -1 + sqrt(180) + -2)**2 - (sqrt(180) + -6*2*sqrt(180))**2) + -3 + 0.\nAnswer: -21090 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5835682, 5835680, 5835678, 5835676, 5835674?\n\"Answer: -2*j + 5835684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*m = -18 - 17, -m - 1 = 0. Calculate the highest common divisor of 999 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43155 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -50 + 54\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/60 - s**5\/45 + 7*s**4\/36 - 2*s**3\/9 + 6*s**2 - 13*s. Let q(w) be the first derivative of d(w). Factor q(u).\nAnswer: -2*(u - 1)*(u + 2)*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + f - 5 = -21, 4*f - 6 = s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (54\/(-21))\/((-1)\/(-7)). Let j = b + 35\/2. What is the third biggest value in j, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 6. Let a = f + 11. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 20*r**2 + 2*r + 42. Let h be n(-20). Suppose -3*t = -7*c + h*c - 114, -71 = -2*t + 5*c. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75150 divided by 90\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/785 (b) 0.4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44796639 to the nearest integer?\nAnswer: 6693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87040795*i**3 + 36262404 wrt i?\nAnswer: -261122385*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f. Let v be 0*((-1)\/(-7))\/(-1). Solve f*o + o = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose k*f - 5*g = 15, -2*f + 7*f - 2*g - 9 = 0. Suppose -3*q + 5*q = 4. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-18)\/(-96)*(-2)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72590223221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -28. Let b = n - 33. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 111, 86, 65, 48?\n\"Answer: 2*s**2 - 31*s + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (14 - 23) + 0 + 2 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(1\/8)*t**(-2\/15)*t\/(t\/(t\/((t\/t**2)\/t)))*t assuming t is positive.\nAnswer: t**(479\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2934.0543 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v + 13. Let d be b(-2). Suppose 0 = -5*y + 5*m + 70, -d*m - 33 = 2*y - 4*y. Do y and -4\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 19*z**3 - 3. Let k(p) be the third derivative of p**6\/120 + p**3\/6 + 5*p**2 - 59*p + 2. Determine 3*k(t) + w(t).\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2612, 2613, 2614, 2615, 2616, 2617?\n\"Answer: a + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 + 878*g**2 + 688*g + 3.\nAnswer: -12*g + 1756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8.7, 148, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3583972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -118. Let w = -36 + 12. Let q = w - m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 - 6710234537502*x**2 + 6710234537502*x**2.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003468 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363704?\nAnswer: 2, 11, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 8, 2*x - 5*x - 11 = -5*n. What is the third biggest value in 5, -0.03, n, -3\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 + 20*k**2 - 10*k**2 - 6*k**2 + 4*k in the form q + h*k**2 + y*k and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*q = f + 42, -3*f + 7*q - 814 = -896 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 245753?\nAnswer: -40\/245753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 224 + 217 = 0. Suppose -5*p + 157 = -j. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5791899 - 1930657 - 1930594 - 7*z + 5*z - 1930648.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**2 + 0*l**2 + 12 + l**3 - 12. Let b be t(7). Suppose b = 2*i - i - 5. Solve i*x - 4 = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/80 and 19\/26.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqq when three letters picked without replacement from {s: 6, a: 9, q: 2}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:03 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -15. Let h = z - 8. What are the prime factors of (h + 1)\/((-3)\/(-18))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 58. Suppose 0 = 2*a + 4*q - 22, 31 = 5*a + m*q - q. Factor -2\/11*c**2 - 2\/11*c + 2\/11*c**a + 2\/11.\nAnswer: 2*(c - 1)**2*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 30. Let z be x(-12). Suppose 3*d = -z - 0. Let t(v) = v**2 + 3*v + 2. Determine t(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:59 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -7\/5 (c) 3\/7 (d) -4 (e) -2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - f**3 + 0 - 5 + 4 - 3.\nAnswer: -f**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1216*z + 626*z = 146*z - 2 + 2. Let m = -0.2 + 1.2. What is the closest to m in z, 1, -0.4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -447, 6, 1, 3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -2.5. Sort t, 3, 2 in increasing order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 372 = 0. What is the greatest common factor of 31 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 35752*s**2 + 286208*s + 572544.\nAnswer: -4*(s - 8946)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105621191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8796, -17091, -25388, -33687?\nAnswer: -41988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -2*c, -5*q + 96 = -5*c + 86. Put 3, 1, c, 4.25 in increasing order.\nAnswer: c, 1, 3, 4.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 218*a + 5021. Let d be g(-23). Solve -2 = 4*r - i, 4*r - 4*i = -d*i - 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(272)*3 + -5*1*sqrt(272) - ((sqrt(272) - -3*sqrt(272))*1 - -6*(-3 + sqrt(272))))**2.\nAnswer: -864*sqrt(17) + 10117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136648 and 10.\nAnswer: 683240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.4. Let h be 6\/15 + 26\/(-40). Let w be -3 + 51\/9 - 3. Which is the nearest to w? (a) o (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 13*w**2 + 35*w - 637. What is z(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3, -4*s - 39 = -5*n - 41. Suppose -5*v + 2*v - 24 = 5*l, 0 = -5*v - n*l - 21. Which is the closest to 1? (a) -4 (b) v (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 2, -2\/27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*t + 2*d - 3*d, -d - 4 = 0. Let a(k) = -3*k + 1. Is a(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86539\/1347 or 65?\nAnswer: 86539\/1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 105 + 123 = 0. Let n(k) = -k**3 + 6*k**2 + 6*k - 20. Let h be n(c). Calculate the greatest common factor of 24 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k - 34. Give o(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964162269.\nAnswer: 3, 7, 2186309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -13. Suppose o - 5 = -3*n, -n - 4*n + 4*o + d = 0. Suppose -n*t + 4 = 3*v - 17, -2*v - 4*t = -20. Solve -3*y = v*b + y + 4, 3*y = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-398484 + 398484 - 831*s**2)*(-s + 0*s + 0*s) to the form z + i*s**3 + u*s + w*s**2 and give i.\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8005, 15999, 23993, 31987, 39981?\n\"Answer: 7994*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963775812.\nAnswer: 2, 2179, 225307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3546 - 3545.5. What is the biggest value in 0.13, d, -33, -1\/2, -4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7081 or 35?\nAnswer: -7081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-124 + -85 + 39)\/10\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 25137?\nAnswer: 25134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*-4*(sqrt(700) + 0)*2)**2.\nAnswer: -1280*sqrt(7) + 716804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18572812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002383084 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*i**3 + 4*i**2*y - 6*i*y - 10*y - 1 wrt i.\nAnswer: -126*i + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8*l - 27 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10310 = 4*u, 8*u - 5*q = 7*u - 2588. What are the prime factors of (-3)\/15*u - (-9)\/(-15)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94578, 189157, 283736, 378315?\nAnswer: 472894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -298 - -391. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*r**2 + 676*r**2 + 826*r**2 - 501*r**2.\nAnswer: 1101*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 - 3*c**2)*(2 + 2*c - 2 + 1) + (3 - 3 + 2*c**2)*(4 + 3*c - 4).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/((105\/(-10))\/(-21))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 13 = -l, 0 = 4*l + 11 + 9. Suppose -3719988 = -2*t + 3*h, -n*h - 4970835 = -2*t - 1250851. What is t rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5472 = -h + 5*z + 5509, 2*z - 331 = 5*h - 332 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2879672*i**3 - 14904192 with respect to i.\nAnswer: -8639016*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336946, -673893, -1010854, -1347835, -1684842, -2021881?\nAnswer: -2358958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -109.33697 and -28.\nAnswer: -137.33697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = 2. Let k be 3\/9*0*j. Let w = -86 - -772\/9. Which is greater: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p = 57*p + 5*w + 45, 4*p + 5*w - 35 = 0. Suppose p*o - 5 - 25 = 0. Solve -2 = -t + 2*h + o, -5*h - 11 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2 - 2, 25 = -3*h - 4*t. Let q be -2*12\/(-3) + h + -1. Let d be ((-10)\/4)\/5 - (-14)\/q. Solve -d*v = 12, -i + v = 2*v + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 23465*n**3 - 140655*n**2 + 210935*n - 93740 = 0. Calculate n.\nAnswer: 1, 4, 4687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:31 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -5 - -7 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*f = -35, -2*h - f - 105 = h. Let j = h + 104\/3. Let k = -55634.24 + 55637.24. Which is the nearest to 0.1? (a) j (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.213? (a) -81 (b) 2 (c) -2\/7 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3172377, 6344704, 9517031?\n\"Answer: 3172327*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -32491217\nAnswer: -162456085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 769742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 146084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (4\/(-7))\/(-32 + 8677720\/271180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -177*b**5\/5 - 171*b**4\/5 + 537*b**3\/5 + 867*b**2\/5 + 324*b\/5 - 12\/5 = 0.\nAnswer: -1, 2\/59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 12:22 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 160190, 160193, 160198, 160205, 160214, 160225, 160238?\n\"Answer: s**2 + 160189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -10) + 0 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70795862, 70795867, 70795874, 70795883, 70795894, 70795907?\n\"Answer: v**2 + 2*v + 70795859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2472.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 2*m - 3. Let c be u(2). Let f be -2 + c*21\/(-9). Solve f*s + z = 11, s - 3*z + 9 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from aayyyayayyyaa.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4ca + 4f?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*b + 4*b**4 - 3*b**4 - 56*b + 5*b**4 - 11*b**3 + 2 + 102*b to the form l*b + w*b**2 + i*b**4 + f + x*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1490\/(-8) + 19\/76. Let d be (y\/(-1))\/(3\/2). Suppose -86 = -m - 4*v, 2*m = -2*v + 6*v + d. Calculate the remainder when m is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(12) - sqrt(768)))\/(sqrt(8)\/(3*sqrt(2)) + sqrt(4)).\nAnswer: -105*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -5*t**2 + 692. Let l(b) = 2*b + 21. What is o(l(i))?\nAnswer: -20*i - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -9\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8361 + -8335. Solve d*l + 13 = -13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -11. Let s = 11 - p. Suppose s*o - 24 = -14. Solve o*i - 4*b = -25, 3*i + 6*b - b - 22 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 3*w**2 + 2*w - 2. Calculate a(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041824587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-2092)\/(-7794) - (-4)\/6. Let s = n + -23300\/81837. Calculate the common denominator of s and -28\/11.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*g + s, 2*g + 3*s + 0 = -4. Let z be (16\/5)\/(g\/70). Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -41. Suppose -16 = -5*s - 6. Let l be s*((-21)\/6 - -3). Which is the closest to -1? (a) l (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -60 in increasing order.\nAnswer: -60, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1304201580\/13 or -100323198?\nAnswer: -1304201580\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (172\/258)\/(2\/9 + 0). Find the second derivative of 9*c**5 + 19*c - 15*c**5 - a*c - 2*c wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*f*u - 62*a**2*p*u - 21989*a**2*u**2 - a*f*p + a*f*u**2 - 14*a*p + 30255*f + p*u wrt a.\nAnswer: 2*f*u - 124*p*u - 43978*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 5*i + 8*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*n + 5*i - 2, -n = -2*i - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-112))\/((855\/(-40))\/(-19)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 477128\/9 and 53015 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 1:06 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/3696*60*2\/(-10).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9.3. Let k = -1702\/25 - -68. Let w be (5\/28*2)\/((-84)\/(-294)). What is the nearest to u in k, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*r - 10 - 15 = 0, 5*r = 5*v - 25. Suppose v = -q + 2. Suppose -q*g - 3 + 13 = 0. Solve -2 = 3*n + 1, -5*p - g*n = -10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000254 to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -1\/2*s**3 - 1\/30*s**5 + s**2 - 1\/120*s**6 - 1\/8*s**4 + 0 + 0*s. Let c be f(-2). Solve 4*b = v + b - 9, -v - b = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114200 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let j = -342 + 351. What is the remainder when j is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 2*g = -462. Solve -g*p - 18 = -30*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 5*j - 3. Let h be (12\/14)\/(4\/(-28)). Let r be ((-4)\/h)\/(6\/27). What are the prime factors of p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*c = 21 + 1, -c = -3*z - 11. Let h be -2 - 2*(-2)\/4. Put z, h, 2 in decreasing order.\nAnswer: 2, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11a6467 - -10?\nAnswer: 11a6477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205339 - -378296. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2948238452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -16.89. Let t = 1181.11 - 1176. Let z = t - v. Which is the closest to -2\/5? (a) 1 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-2))*r*r*r\/(r\/r**(-1\/4)*r))**(3\/10) assuming r is positive.\nAnswer: r**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32\/3 in -5, -36.4, 21, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20304 by 170.\nAnswer: 10152\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*o**2 + 10*o**3 + 27*o**2 - 7*o**3)*(1 - 1 - 3)*(-2*o + 5*o - 4*o).\nAnswer: 9*o**4 - 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 570 = -2*z + 522, 1086 = 2*z + 4*x. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e571 + -422?\nAnswer: -e993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -508*z + 10106. What is the ten thousands digit of n(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -14. Let k = 0.1 + -0.1. Let z = 4 + -3. Which is the biggest value? (a) k (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18887 - -415597\/22. Suppose -2*i + 5*i = 504. What is the common denominator of z and 302\/i + (-4)\/(-14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 + 477813?\nAnswer: 477782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**5\/10 - 17*u**2\/2 + 16. Let s(g) be the second derivative of w(g). Let q(i) = i. Give s(q(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l + 60. Let g be h(26). Let b = -153 + g. Calculate the remainder when 47 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 291*w + 27638. Let b be d(211). Let x = -0.3 + -0.2. What is the nearest to 1 in b, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 5 = 5*g. Suppose -12 = 4*o - 2*t, 5*o - 4*t = -0*t - g. Let r(u) = -6*u**3 - 5*u**2 + 3*u - 2. Let d be r(o). Round d to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + 2*q - 6. Suppose 2*x + 3*x + 5 = 0. Let i(c) = c**2 - 1. Let m(w) = x*p(w) + 6*i(w). Find the second derivative of m(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16))\/((-11)\/(-44))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 7 + 4)*(-4*t + 0*t - 2*t)*(-t + 3*t**2 + 3*t - 4*t**2) to the form m*t**3 + k + v*t**2 + r*t and give v.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 20 = -4. Let f(q) = -20*q. Let n be f(i). Do n and -41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Let u = r - 5. Let c = 50\/3 + -17. Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 609.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*-63\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -767*t**3 + 101*t**2 - 54968796 wrt t?\nAnswer: -2301*t**2 + 202*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 342552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuurruu. Give prob of sequence ru.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x + 4*c - 19, -7 = x + 5*c. Let h be 462\/147 - (-1)\/x. Find f such that -8\/5*f**h + 0*f + 0 + 2\/3*f**5 - 8\/15*f**2 - 2\/5*f**4 = 0.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o + 12*o**2 - 12*o**4 + 10*o**5 - 14*o**5 + 8*o**5 + 4*o**5 - 4*o**3 = 0. Calculate o.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2156 and 39788?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 + t + 2. Let q be v(0). Solve -z + 14 = 4*x, 0 = 2*x - 2*z - 0*z - q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2. Let s(c) = -813272*c. Determine g(s(z)).\nAnswer: 1322822691968*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1325 + 1783 = 374*i + 409*i - 2373 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 453966 by -6.\nAnswer: -75661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -700819\nAnswer: 23\/700819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 4. Sort b, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807.456 months in millennia?\nAnswer: 0.317288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3175 - 47*c - 3175)*(-15*c**3 + 2*c + 12*c**3 + 4*c).\nAnswer: 141*c**4 - 282*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.1534l to millilitres.\nAnswer: 883153.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739390 is divided by 662?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = -19*a - 232. Let o(p) = 3*p + 3. Let j(i) = 7*i + 9. Let d(b) = a*o(b) + 3*j(b). What is d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 714, 1445, 2176?\n\"Answer: 731*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(8))\/((sqrt(36) - -1*sqrt(36)) + sqrt(4)).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 14. Let o be 1\/(-5) + 16\/y. Let a = -17 + 21. What is the third biggest value in a, o, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20186813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 5*r + 4*d, -2*r - 106*d - 5 = -111*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Suppose -20 = -0*l - l. Let p = l - u. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**5 + 6*n**3 - 3*n**2 - 3*n. Let x(r) = -11*r**5 + r**4 + 12*r**3 - 7*r**2 - 6*r + 1. Let h(q) = -5*a(q) + 3*x(q). Let h(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 214?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -27*r**2. Let b(z) = -z**2 + 3*z. Let o(v) = 2*v**2 - 5*v. Let l(i) = -10*b(i) - 6*o(i). Determine f(l(t)).\nAnswer: -108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * -0.3.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 590\/4 + (-9)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than or equal to 16933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-18) - 1490\/180)*-2. Suppose 4*w = -0*w + 492. Let y = w - x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 3. Let t(h) = -6*h + 15. What is 11*j(v) - 2*t(v)?\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 93011*u. Let b(v) = 41*v**2. What is b(j(d))?\nAnswer: 354692890961*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 + 32*g**2 - 39*g**6 + 9*g**5 + 15*g**2 + 36*g**6 wrt g?\nAnswer: -360*g**3 + 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6441136 divided by -35984\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -2, 239 in increasing order.\nAnswer: -8, -3, -2, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-504)\/294) + (1391825\/(-45150) - -31)?\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = -4*f - f. Let c = 165 + f. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52976?\nAnswer: 2, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z, 2*r + 0 = 5*z - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/(21\/(567\/18)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5361e (base 15) in base 3?\nAnswer: 111110000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.43 - 36.57. Let j = -37.77 - y. What is j rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 7*x - 289800. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79847040 by -3992352.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 - 4*s - 26. Let x be w(-11). What is the greatest common factor of x and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + 77\/28. Calculate the highest common factor of o and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f - 2. Calculate l(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r. Let h(n) = -3*n**2 - 3*n. Let j(v) = -4*h(v) - 11*u(v). Let f be j(0). Does 6 divide (-8)\/3*(f - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.014 = -4\/5471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80649*i**6 - 45617*i**2?\nAnswer: 9677880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9859 and -0.408.\nAnswer: -1.3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 0*p**2 + 1 + 3*p**2 to the form i*p + g*p**2 + d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from nnndjjaaaalqja?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3324 divided by -1108\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 129 = -126 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*n**4 + 9*n**2 - 9*n**2 + (-4 + 4 - 2*n**3)*(-n - 4*n + 3*n) - n**4 - 2*n**4 + n**4 - 2*n**4 - 2*n**4 + 2*n**4.\nAnswer: 23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -17, -12, 9, 52, 123, 228?\n\"Answer: j**3 - j**2 - 9*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 5 + -14 - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -371*i. Let z(c) = 106*c**2 + 3*c. Give v(z(b)).\nAnswer: -39326*b**2 - 1113*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 = -5*l + o, -o = 5*l - 17. Suppose -5*z - 41 - 20 = -l*n, 3*z + 6 = -n. Calculate the smallest common multiple of n and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from hnvveqc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nneneeenydenlnl. Give prob of picking 1 l, 1 d, and 1 e.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 + 17*w**3 + 5*w**3 - w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 - 1212*p**4 - 2373*p**3 + 15792*p**2 + 45900*p + 28944 = 0. What is p?\nAnswer: -402, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p. Let i = 79 - 83. Let b(d) = 8*d. Calculate i*b(j) - 5*l(j).\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3976872 * 1.\nAnswer: 3976872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8666209 to the nearest integer?\nAnswer: 2944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 92. What is h(28)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1234 divided by 6\nAnswer: -617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10677 rounded to the nearest one hundred?\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - l**4 + 0*l + (-87234*l + 174761*l - 85587*l)*(l**3 - l**3 - 3*l**3) as j*l**4 + z*l**2 + s*l + i + u*l**3 and give j.\nAnswer: -5821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 4*n - 5*r = 0, 3*n = 3*r + 18. Which is the second smallest value? (a) n (b) -1\/2 (c) 1\/9 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c - 12. Let w be p(-4). Solve -f + 8 = -w*q, -4*f + 6*q + 8 = 2*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -2, 15, 54, 121, 222?\n\"Answer: y**3 + 2*y**2 - 12*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:19 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1430 at least -1429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - -3*sqrt(475))*-6 - sqrt(475) - sqrt(475))**2.\nAnswer: 321100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14 - (-44 + 40733\/931)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/20)\/4*(-10)\/(-2). Let y(t) = 26*t**2 + 2*t - 1. Let w be y(-2). What is the greatest common factor of w and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24123 is divided by 3417?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -25?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124267397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhn when three letters picked without replacement from shtkhnkksmkthknhtkt.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r - 6. Let k be u(4). Suppose k*m - 3*m - 6 = 0. Suppose 5*i + 0*h - 6 = 2*h, 0 = -h + m. Solve -4*f - 32 = -0*f + 4*p, 0 = 2*f - i*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17352 by 9.\nAnswer: -1928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 = 246*f + 97*f - 1404 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229 + 239. Let u(o) = -10*o + 10 + 41*o - y. Let v(k) = 2*k. Give v(u(t)).\nAnswer: 62*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 1\/18 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*4\/6 + 0. Put 0, -1\/5, h in decreasing order.\nAnswer: h, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 + 4*g**3\/3 + g**2 + 2*g + 2. Suppose 4*v + 32 = -4*r, -r + 0*r = -5*v - 10. Give b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/5 - 223637*i**4\/5 + 67089*i**3 + 670907*i**2\/5 - 559079*i\/5 - 670902\/5 = 0. What is i?\nAnswer: -1, 3\/2, 2, 111817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -2\/15, 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 7*a = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 611412 (base 8) in base 6?\nAnswer: 4152442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1312 divided by 16.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**4\/6 - q**3\/3 + 42*q**2 + 7. Determine k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from znbz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -792193*d**2 - 290*d. Let y(w) = 16504*w**2 + 6*w. Calculate -3*h(x) - 145*y(x).\nAnswer: -16501*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/12 - (-6)\/(-8). Suppose -319 = -s - 3*k + 158, 0 = u*s + 3*k - 1935. Let f = s - 145. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878840241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 1, -3, -282, -10 in ascending order.\nAnswer: -282, -10, -5, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + (0 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6095*s + 97596. Calculate p(-16).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -172, -186, 6, 2 in decreasing order.\nAnswer: 6, 2, -5, -172, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*o**2 + 465544*o**3 + 130 - 465542*o**3 + 166*o + 6*o**2.\nAnswer: 2*(o + 1)*(o + 5)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*d - 3*f, -3*d + 15 = 2*d - 5*f. Let q = d - 14. Let a be (2 - 1)*(1 + -2). Is q smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, n: 11}. What is prob of sequence nngg?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -97951360, -195902720, -293854080, -391805440?\n\"Answer: -97951360*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 709 - 281. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10279430.\nAnswer: 2, 5, 7, 146849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 0, 2, 3 in descending order.\nAnswer: 9, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -755*l + 1518*l - 762*l. Let g(j) = -4*j + 12. Let w(f) = 1. Let d(y) = -g(y) + 12*w(y). Let o = 21 - 7. Give o*c(s) - 4*d(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) -3\/8 (c) -0.1 (d) -0.04 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81 + 19?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152.268 - 152. Let c = -0.032 - i. Round c to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2492 divided by 2?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -300\/13981 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**3\/2 - 10*o**2 - 242*o + 279. Let m(j) be the first derivative of d(j). Give m(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-543)\/(-6) + (-1)\/(-2). Suppose 2*m = -q - 4*q + h, -5*q = 5*m - 250. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**4\/12 + 11*r**2 - 218. Let d(i) = -15130*i**2. Calculate c(d(y)).\nAnswer: -30260*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 1, y: 6, m: 3, w: 5, n: 1}. What is prob of sequence nmv?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647806 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - 3*h**2 - 3*h - 1. Let b be d(-1). Factor 9*k - 37*k + 24 + 25*k**2 - 21*k**b.\nAnswer: 4*(k - 6)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 335626517 to the nearest 1000000.\nAnswer: 336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-0.5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 2*o = -29*g, o = 3*g - 14. Let m be 4\/14 + 30\/(-56). Which is the closest to m? (a) -5 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 510758.\nAnswer: 1021516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 - 4*g - 7. Let p = -1 + 6. Suppose -r - p = 0, 0*r = 4*k - 4*r. List the prime factors of t(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -334*b + 1. Let l(n) = -12*n**2. Calculate k(l(u)).\nAnswer: 4008*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggexpe. Give prob of sequence exge.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114670489 to the power of 1\/2, to the nearest integer?\nAnswer: 33387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707332 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 21*n + 52. Calculate p(21).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 110\/20 + (-1)\/2. Let s be m\/2*(-4 + 6). What is the greatest common factor of 15 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83369 + -83368.729981. Let n = 0.27 - a. Round n to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 16 = 2*k, -4*l + 333 = -k + 4*k + 319 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:13 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 362, 704, 1012, 1268, 1454, 1552, 1544?\n\"Answer: -3*n**3 + n**2 + 360*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vkkvkkf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acwaeecccaaaacccwc. What is prob of sequence ee?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 24\/11 - (-63046)\/638. Calculate the greatest common divisor of r and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/2 + 2\/4. Suppose 2*p - 7*p + v = 0. Let z(t) = -t**3 + 7*t**2 + 10*t - 18. Let k be z(8). What is the second biggest value in -1, p, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z**4 - 5*z**3 - 3343*z + 3343*z)*(6*z + z + 8*z).\nAnswer: -195*z**5 - 75*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4294975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2 - 156*u + 320 = 0.\nAnswer: -80, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 5*u**2 + 2*u - 7. Let d be p(5). Suppose -d - 7 = -2*s. What is the third derivative of 0*q**5 - 4*q**2 - 5*q**s + 2*q**5 wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:15 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 9, o: 4, n: 2, y: 4}. What is prob of picking 2 o?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-6 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.81*0.17492\nAnswer: 0.6664452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2*(-2)\/(-4). Let d(u) = u**3 + 7*u**2 + 4*u - 8. Let x be d(-6). Solve -x*y + o + 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s. Suppose 5*i + 5*r = 2*r - 15, 4*r = 3*i - 20. Suppose i = -34*h + 36*h - 320. Let t(l) = -4*l**2 + h - 322 + 162. What is p(t(a))?\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*l + 7. Suppose 24*p - l = 21*p. Solve 0*u - a + 20 = 3*u, p*u - 35 = -2*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -675*z + 24938. Determine a(40).\nAnswer: -2062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/4 (c) 267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9005 = -5*q, -4*t - 5*q + 3865 = -3330. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/y)\/y*y*y**27 assuming y is positive.\nAnswer: y**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -50. Calculate the least common multiple of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Suppose -d*y + 1 = 5. Let m = -2\/5 - y. Sort m, 2, 0.5 in descending order.\nAnswer: 2, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**(-14\/11))\/x)\/x**(9\/4) assuming x is positive.\nAnswer: x**(45\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 - 301. Let p = z - -169. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -80.22. What is z rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (4 - 1) - 3) + 6. Find the second derivative of r**s - 2*r**4 + 0*r**4 + 9*r + 8*r wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -151.9418 and -0.244?\nAnswer: 151.6978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.01 (c) -32 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/301 (b) 1\/3 (c) 2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p. Let q(g) be the first derivative of g**2\/2 - 3. Give k(q(w)).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/5 - 333*b**2\/5 + 4488*b\/5 + 69552\/5 = 0. Calculate b.\nAnswer: -9, 28, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 111, 96, 59, -6?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7800 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from znrlldj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(6 + (-66)\/9). Solve -2*w + 26 = -c*m, m = 2*w - 0*m - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -91.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 9*i**2 - 18*i - 30. Let n be o(-10). What is n rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 198*a**2. Let t(l) = 29*l + 21*l - 50*l + 8*l**2 - 4*l**2. Calculate b(t(q)).\nAnswer: 3168*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 + (-29)\/(-3) + 170\/6. Let r(b) = b**2 - b - 3. What is the least common multiple of r(-3) and 105\/n*8\/2?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.2 + 27.1. Let o = w - -27.7. Suppose 4*x + 64 = 8. What is the smallest value in -4, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151.9 - -159. Let f = 2.1 - r. Which is the closest to -1? (a) f (b) -6 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117523*f**2 - 117463*f + 60 = 0.\nAnswer: -1, 60\/117523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-3))\/(0 + -2). Let q be 4 - (i - -2394)*-101. Round q to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34634204 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2084)\/1563)\/((-28)\/(-30))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 3*z - 2. What is the units digit of p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**8\/3360 + w**4\/6 + 8*w. Let r(q) be the third derivative of g(q). Suppose r(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:58 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 945626 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13596 divided by 6?\nAnswer: -2266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 (base 10) in base 13?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17599\/8 - -2207. Let g = 58712\/7 + -370179146\/44135. Let z = g + 472859\/50440. Find the common denominator of z and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1, 1337 in decreasing order.\nAnswer: 1337, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.073 + -53.073. Let t = z - -53.106. Round t to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70136, -140283, -210432, -280583?\nAnswer: -350736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-8)*-3)\/((-6)\/8)*150\/(-75)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1\/45)\/((-12)\/(-30))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*a**2 + 198\/7*a.\nAnswer: -2*a*(a - 99)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:27 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 16 = 4*w, 0*w + 4*v + 18 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(((-1512)\/(-36))\/84)*-61\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8010\/2136)\/((-120)\/64*4\/(-54))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/9 - 8857\/(-153). Let j = d + -30. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**25*n*n**(16\/3)*n assuming n is positive.\nAnswer: n**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c - 11579?\nAnswer: -115a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 95 = 5*x, -74*x + 24 = -78*x. Calculate the greatest common factor of o and 6575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 32 + 20 = i, j = -i + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 20. Suppose 3*v - 5*l = m, 22 = 5*v - l - 16. Let c = v - 6. Solve -c*o + 4 = 2*k + k, -o = -4*k - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3) + 1 + -5 - sqrt(240)\/sqrt(5)))**2.\nAnswer: 18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -4*u**5\/5 - 44*u**4 + 4*u**3 + 260*u**2 - 352*u - 1068. Suppose f(y) = 0. What is y?\nAnswer: -44, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 79*i**3 + 25*i**2 - 12. Let h be a(2). What is the greatest common divisor of h and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/60 - y**4\/2 + 76*y**2. Let o be x(0). Is o at most as big as 2\/393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702 divided by -9\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 3 - (5 - (-3 - 5))) + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -16*u**2. Let p(w) = 2 + 5*w - 2*w**2 + 4*w**2 - 25*w. Let f be p(10). Let t(m) = 5*m - 5*m - f*m**2 + 0*m. Give t(q(g)).\nAnswer: -512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*w = 810, 2*f - 2*w + 4*w - 312 = 0. What are the prime factors of f?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5962138 and 1326.\nAnswer: 17886414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6900020 by -6.\nAnswer: -3450010\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k = -4*z + 2, 43 = 3*k + 5*z. Let y(g) = -g**2 + 7*g - 6. Let l be y(k). What is the smallest value in 2\/5, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z + 3. Determine o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518*c + 1113*c = -15390 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 + 188370*g**2 - 14294460*g + 271457560 = 0.\nAnswer: 38, 37598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 19 + 37. Solve -p*k = 25 - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26962 divided by -122\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138544727 by 6.\nAnswer: 138544727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 41 = 5*o - q, -3*o + 3*q = -33. What is the remainder when o is divided by 4\/(-10) + 96\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from {a: 1, p: 2, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.22345 and -123.0217.\nAnswer: -105.79825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24724*q - 71160 = -25910*q for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 38, 62, 88, 116?\n\"Answer: f**2 + 19*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21672518 divided by 2?\nAnswer: 10836259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16060, 32120, 48182, 64246, 80312?\nAnswer: 96380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6377, -12722, -19029, -25280, -31457?\n\"Answer: 3*c**3 + c**2 - 6369*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31078.8 - -31079. Let f be (-1)\/(5\/(-3) + 1). What is the nearest to m in -5, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-4\/7)*r)\/(r\/(r**(-1\/2)\/r)))**33)**43)**(-2\/61) assuming r is positive.\nAnswer: r**(41151\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021302 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 0*f + 0*f + (-4*f + 4*f + f)*(-4 + 3 + 3)*(-4 + 2 + 4)*(15 - 15 + 9).\nAnswer: 33*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -481250*d**2 + d - 4. Let u be n(4). What is u rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13400 at most -13399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/11 or -97612?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*w - 33 + 6 = 0, 2*d - 4*w + 6 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2321*b**5*j + 56*b**4*j + 11*b**2*j - 17761*b wrt b?\nAnswer: 139260*b**2*j + 1344*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = -7 + 1099. Suppose -482400 = -p*j + 86*j. What is j rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-304)\/266*(-10)\/(-6) and (-21)\/(-225) - (-2)\/6?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 4*f**2 + f + 2. Let h be p(4). Let v(j) be the first derivative of -j**2\/2 + 4*j + 6243. Determine v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + -10?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221*f**2 - 487*f**2 + 12*f + 274*f**2 - 2*f**3 to c*f**3 + r*f**2 + s + u*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1700) + -2*(0 + sqrt(1700)))**2*-3 - ((-6*(sqrt(1700) + 0 + sqrt(1700)) + sqrt(1700))*-6)**2*-4.\nAnswer: 29631000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 902 divide 733662552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183 or 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.74 - 42.74. Let u = 29.081 - 0.281. Let r = u + y. What is r rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqhqqqaaqhaqaq. Give prob of picking 3 q.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 minus 19625320954?\nAnswer: -19625320956.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 188388658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-828)\/8)\/((-9)\/24). Suppose 4*r - n = -3*f, -2*f + r + 2*r + 167 = 0. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 5*q**2 - q - 1. Let t be h(-5). Let c = t - 9. Let k be c*((-17)\/5 + 3). Solve -5*y = l + 20, -k*y - 3*l + 2*l - 11 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 20*f - 21. Let c be p(5). Let a be (0\/3 - -1) + 2. Sort a, 31, c in decreasing order.\nAnswer: 31, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 8:11 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = j - 0*j, s = -5*j + 20. Let z be 6\/j + (-1)\/2. Sort z, 2, -2.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 32, 72, 146, 266, 444?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47349558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 - 17*s + 60. Suppose -5*l - 65 = 2*o, -3*o = 4*l - 5*o + 70. Does 12 divide m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2142\/48195*(-3 + 2)*(-21)\/1\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28397 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 - -88 - (-16 + -4 + 1 + 4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.809986306759 + -0.4.\nAnswer: 20.409986306759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 1 = -m, 0 = r + 4*m + 2 + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 7*v + 7. Let n(r) = 5*r**2 + 6*r + 4. Let y(f) = -2*l(f) + 3*n(f). Give y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v = -33*v + 3. Calculate the remainder when 9 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*-7*12\/(-182)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2357770166 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.67 + -0.37. Let y = 0.7 - l. What is the fourth biggest value in y, 1\/2, 2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15418 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 40 = 6*h. Let d(o) = -h - 5 + 13 - 15*o. Let j(i) = -2*i**2. Determine d(j(f)).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 4*k + 13*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -2*h, 4*x + 0*h + 4 = -4*h. Let w = 9 - -24. Let o = -33.5 + w. Which is the closest to x? (a) 2\/5 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316 and 797315874.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18482 - 9564. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*r + 105177 - 453911, 3*k = 5*r - 435915. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13754092 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11581.\nAnswer: 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, z: 1, h: 1, k: 1}. Give prob of sequence kzq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -10123.\nAnswer: -10118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + -229. Let m = a - -128.0316. What is m rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*h**2 - 2*b*h + 2*b + 9235*h**2 - h + 1 wrt h?\nAnswer: 6*b + 18470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 165*l - 19. Let s(c) = c - 4. Give 5*s(h) - v(h).\nAnswer: -2*h**2 - 160*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4*l - 3*l**2 + 10*l - 6 - 4*l + 34*l**2 - l.\nAnswer: 31*l**2 + l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 0.3. Let h = 0.06 + q. Let v = -2 - -3. Sort h, v, 1\/3 in decreasing order.\nAnswer: v, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -717*(-17)\/(-561).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -2, -34, -78, -134, -202?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*c - 169*c = -9. Let h = 4 + -2. Let w = -0.13 + 3.13. What is the nearest to c in w, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 + 4*t - 1. Let g be j(-3). Suppose -162 = -5*x - 3*f + 165, 4*f = g*x - 334. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 4\/7 (c) 4 (d) 15001 (e) -2 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2591660261\/306 + 8469430. Let i = s - -690\/17. Find the common denominator of 26 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + -4 + -1*((sqrt(1300)*1)**2 + -3) + 2)*5.\nAnswer: -6450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-936)\/64*-2*(23 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (2 + -1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:25 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71823 is divided by 3015.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57500 is divided by 1495.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - ((-2958)\/377 + (-4)\/26). Suppose -1620 = -3*k - p*l, 0 = -4*l - 4 - 8. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3587 = 5*w - b, w - 100*b - 712 = -98*b. Is w a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 1. Let j(m) = -86*m**2 - 9*m - 9. Let u(r) = 19*r**2 + 2*r + 2. Let f(h) = 2*j(h) + 9*u(h). Give x(f(q)).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vrevr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11485.825 + 11486. Sort n, -5, -18 in ascending order.\nAnswer: -18, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/3 (b) 1495 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 52\/895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203527487 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.07. Let g = 0.8 - 0.83. Let a = f + g. What is the closest to 0 in 2\/3, 3\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(35)\/sqrt(7)) + 3.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y = -2*c + 5*c - 8, 0 = 5*c. Let q(o) = 14*o**2 - 2*o - 1. Let t be 0 - 0 - (-2 - -3). Let r be q(t). Solve y*k + k - r = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122624 is divided by 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-5)*a)\/a*a\/a**(-3))\/(a\/a**(-1\/2))**(-3\/10))**19)**(-21) assuming a is positive.\nAnswer: a**(4389\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7179140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3048 and 4572.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282858501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 8, 13, 22, 35?\n\"Answer: 2*h**2 - 5*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 71 = -3*q, 4*q + j = -j - 80. Is (q\/(-3))\/(1\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585808 a multiple of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1971, -1980, -1989, -1998?\n\"Answer: -9*k - 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/199 + 9308\/597. Let z = 5503\/222 - -14\/37. Calculate the common denominator of z and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5690 + -5655. Solve -5*y - 2*i = -5, 5*y + 2*i - 6*i - s = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2379 = -349. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2580446 or 2580441?\nAnswer: 2580446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -f, -4*f - 15*g + 16*g - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 112 + 1512 = 0. Suppose -v + b = 7*v. Let c be (-3569972)\/v + (-8)\/10. What is c rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/9)\/(6\/567*21)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 1303\/10. Let k = -1.7 + 4.7. Which is the biggest value? (a) k (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-24))**27\/((p\/(((p\/p**(-2\/51))\/p)\/p)*p)\/p)**(-25) assuming p is positive.\nAnswer: p**(-30548\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g - 194. Determine w(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1156*x - 2*x**2 + 0*x**2 + 0*x**2 + 1156*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15, 11*x - 15*x = -3*i + 136. Calculate the greatest common divisor of i and 1742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/41075 and -67\/15546.\nAnswer: 638551950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 1448 = 448. Does 47 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31172 or -31180?\nAnswer: -31180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + o - 5 = 0, 6*o - 6 + 1 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdm when three letters picked without replacement from pdwfmkwf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1438606, -5754424, -12947454, -23017696?\nAnswer: -35965150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*154\/(-630)*(-10)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.5 (c) 33 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, 0.1426 in descending order.\nAnswer: 0.1426, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**4\/24 + 25*p**3\/6 + 13*p**2. What is the tens digit of r(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11198, -22389, -33580, -44771, -55962, -67153?\nAnswer: -78344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2844*x + 2830*x = -28. Solve -8 = -i - 2*n, x*n - 4 = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675076 is divided by 292?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 2\/9*s**2 - 22\/3*s = 0.\nAnswer: 12, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 9*i + 6. Let v be q(8). Which is greater: 6 or v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*a + 15, 8*p + 12 = 3*p + 4*a. Let b(h) = h**3 + 10*h**2 - h - 8. Let w be b(-10). Suppose -w*q = -0*q. Is q > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 8*x**2 + 4*x - 7. Let p be j(8). Let y = 4 - p. Find the common denominator of 30\/(-72)*y\/2 and -119\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/126 and 6901\/11256 + -1*1?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*j**2 - c**3*j - 13636*c**3*m**2 - 31*c*j**2*m**2 + 363*c*j*m - 43*c + 2*j*m wrt m.\nAnswer: -27272*c**3 - 62*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 354?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152260964?\nAnswer: 2, 31, 1227911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - -133. What is the remainder when g is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 15*r - 13. Let m(f) = f**2 - 6*f + 7. Let t(z) = 2*i(z) + 5*m(z). Suppose -4*g = -3 - 9. Let a be t(g). Solve a = 3*w + 1 - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**1*f**0\/(f\/f**(-6)*f)*(f**(1\/2)*f\/(f*f*f**(-1\/11)*f*f))**48 assuming f is positive.\nAnswer: f**(-6822\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i - 3 + (7 - 3 - 9)*(9*i - 3*i + 2*i) + 0*i - i + 3*i)*(5*i**2 + 16*i**2 - 2*i**2).\nAnswer: -760*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/112*2\/6*2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.78 + -0.2. Let t = k + 1.88. Which is the smallest value? (a) t (b) -1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 11. Let t be q(5). Factor 0 + t - 5 + 1 - 3*n**2 + 6*n.\nAnswer: -3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q + 1. Let o(t) = t. Let j be o(4). Let g be -1 - 8*(-4)\/j. Is h(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12358, 24714, 37070, 49426, 61782, 74138?\nAnswer: 86494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32d5 (base 16) to base 12\nAnswer: 7645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.096846 - -0.097. What is f rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 19. Let u be 2*(l\/(-6) + -1). Let a(h) = h**2 + 10*h - 8. List the prime factors of a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 - 40*h**2 + 40*h**2 + 1)*(3 + 5 - 6) + 6*h**4 + 6*h**4 - 3*h**4 + (-h + 3*h - 4*h)*(h**3 + 0*h**3 - 2*h**3).\nAnswer: 21*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89458 + 27943 = -5*d - 4*d. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*k**3 + 127250*g**3*k**2 - 8*g**3 + 1785839*g**2*k**3 - 8*g*k**2 wrt k?\nAnswer: -12*g**3 + 10715034*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11.97, -96, -2 in descending order.\nAnswer: -2, -11.97, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -2\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 14. Suppose -v - i = -4*b, -5*v + 8 = -3*b - 8. Suppose 0 = v*m - 3*k - 225, -3*k = 5*m - 0*k - 225. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21771 is divided by 7254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 279*s**2 - 64930*s + 2. Determine j(430).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -5*u**2\/2 - 8*u - 236. Let y be 4\/14 - (-44)\/(-7). Let n(j) = -5*j - 7. Calculate y*n(o) + 5*x(o).\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000137237 to seven dps.\nAnswer: -0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 - -189. Suppose s = 8*w + 1229 - 5525. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27403 and -0.002.\nAnswer: -27403.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27707186 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 + -128. Let u = 0.2 + -0.5. What is the third smallest value in 1\/5, u, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 36*h**3 + 8*h**2 + h - 7. Is c(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141.9 + -141.7492. What is p rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*y**4 - 32*y**4 - 35 + 59*y**4 - 2*y**3 + (y**2 + 0*y**2 - 3*y**2)*(-3*y + 3*y + y**2).\nAnswer: y**4 - 2*y**3 - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -1.5 (c) -5 (d) -1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 41 + 47. Let d = w + 42. What is the highest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 3*z, 3*z - 9 = 0. Suppose 18 = -v + l*v. Let d = v + 47. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 5*x - 4. Give p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 2*m + 4751. Let f be r(0). Suppose -f = -3*q + 2*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 48, 67, 86, 105, 124?\n\"Answer: 19*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1664026000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.1. Let j = -39.8 + 23.5. Let w = -16 - j. Which is the nearest to h? (a) w (b) 0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89160 (base 11) in base 8?\nAnswer: -374416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 70 = 3*q, -3*x + 3*q + 19 = -x. Suppose 0 = -17*z - 4*z + 1071. What is the greatest common factor of z and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*1 + -4.\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 956237.9us in nanoseconds?\nAnswer: 956237900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 138 - ((-3 - -1) + 4). Suppose 14*o - 13*o = -m. Let g = 13 - o. Calculate the remainder when g is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-29*25\/(-5075))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p - 9. Calculate i(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 70\/17 - 4. Let n = -60.2 + 58.2. What is the third smallest value in h, n, 13, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28417, -28419, -28421?\n\"Answer: -2*u - 28415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 3\/4, 19, -0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, -66, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 17)*(-3)\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 276*m + 4672. Determine w(118).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 183, 367, 545, 717, 883, 1043, 1197?\n\"Answer: -3*x**2 + 193*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 150. Let v = 262\/441 + -40\/49. Which is the biggest value? (a) 5\/3 (b) k (c) v (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573537449 to the power of 1\/2, to the nearest integer?\nAnswer: 23949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 91992*j**2 + 1 - 4 + 4 + 91978*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 877, 0.2, -1\/3 in increasing order.\nAnswer: -8, -1\/3, 0.2, 1, 877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.3 (c) -170 (d) -4904\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h - 2. Let l be x(-1). Suppose 3*y = -2*k + 199, 1 = -y + l. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -166 + 2*s + 166 + (-2 + 3 - 2)*(0*s + s - 3*s) + 0*s + 0*s - 5*s - 7*s + 13*s + s + s + 2*s + 0*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -2, 38, 116, 244?\n\"Answer: 2*i**3 + i**2 - 3*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 45*y**2 + 57*y - 185. What is the remainder when b(44) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.16 and 55645.\nAnswer: 55644.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4483?\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**2 - 3*w - 3. Calculate the remainder when 37 is divided by f(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3 + 1247*g**2 + 374015*g - 9274175 = 0. What is g?\nAnswer: -635, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**(-2\/27)\/(w**(3\/11))**(-13\/4) assuming w is positive.\nAnswer: w**(7547\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214658.110175 - -214662. Let v = m - 3.89. Round v to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 10 = 0, 3*d - t - 27 = 2*t. Suppose d*z + 6 = 26. Solve 3*c + 21 = -3*x, -x = z*c - 2*x + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from gllglg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4148487*k. Let q(z) = -23*z**2 - 4*z. Give r(q(j)).\nAnswer: -95415201*j**2 - 16593948*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4368451 + 28920451. What is z rounded to the nearest one hundred thousand?\nAnswer: 24600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4402\/233 - 38686\/2097. Let d*v**3 - 2\/9*v**4 - 200 + 118\/9*v**2 - 40\/3*v = 0. Calculate v.\nAnswer: -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12482331*b**3*s**2 + 5*b**2*s**2 - 1842*b*s**2 - 13*s**2 + 3*s wrt b.\nAnswer: 74893986*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -1\/5, 0.4, 4 in ascending order.\nAnswer: -1\/5, 0.4, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*u - u = -26, 4*u = 3*j - 46. Solve 0*b + 3*b - 16 = 2*n, -j = -2*b + n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -16*f**3 - f**2 + 5*f + 13. Is 143 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 0)*((y - 2*y - y)*(-2 + 2 - 2) - 3*y + 6*y - y)*(-y**2 + 3*y**2 - 4*y**2) to the form x*y + n*y**3 + i + l*y**2 and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - z**2 - 2*z**4 + 9 + 3*z**3 - 5*z - 5 as m*z**4 + d*z + j*z**2 + o + g*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*j + 13 = -2, -12 = -4*j. Suppose h = -k - 3 + 28. Suppose 0 = 7*g - 2*g - k. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809422 times -5?\nAnswer: 9047110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18)*-147*(-165)\/231.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15615 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42750322991 + 42750323356.20004274. Let h = 365.2 - l. What is h rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i + 3*i. Let h(d) = -1 - 11*d**2 - 11 + d - d**i + 10*d**2. Suppose -4*k + 16 = -0*k, 16 = 3*u + 4*k. Give h(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 35 = -11*s. Suppose -3*p - 2*n - 8 = -2, s*p + 5*n = -1. Let k = -0.6 + 0.2. What is the third smallest value in p, k, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)\/(q*q**(-2)\/q))**(1\/8))**49 assuming q is positive.\nAnswer: q**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 30 = -r, -5*r - 59 = b - 65 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*d**2*s**2 - 459*d**2*s + 6*d*s**2 + 2*d*s - 8058*s**2 wrt d.\nAnswer: -158*s**2 - 918*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1548418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -16860 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1130 = 2*r, 13*n - 400 = 14*n + 4*r. Let z = n - -387. Solve 24 = -z*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -892*k. Let m(d) = d**2. What is m(z(l))?\nAnswer: 795664*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 28. What is the remainder when (-166)\/(-2) - (0 + 1) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w**2 - 24*w - 18*w - 28*w**2 + 32*w to the form y + n*w**2 + t*w and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9509430 by 19407.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + 8*h - 2. Suppose 33*z = 52*z - 931. Calculate the remainder when f(-6) is divided by z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 716.8003mg?\nAnswer: 716800300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98152*b**2 + 98142*b**2 - 294436*b**2 + 98142*b**2 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:21 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/15 - 6\/10. Suppose 0 = -5*b + 9 + i. Let y(t) = -4*t**2 + t**b + 20*t**2. Let a(v) = -3*v**2. Determine y(a(n)).\nAnswer: 153*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1122010 (base 3) to base 9\nAnswer: -1563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*u + 3*s - 31 = 0, 5*u - 5*s + 35 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -3*k + 136 - 15 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -6. Let f(z) = 196*z**2 + 6*z - 7. Is f(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 5. Let p be h(-3). Is -1*1*(-1705)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -1\/24*z**4 + 0 - 25*z**2 + 0*z - 1\/2*z**3. Let l(u) = -u - 1. Give -f(s) + 2*l(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c - 231*c + 1998 = -12844 for c.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b - 340 = 0. List the prime factors of b.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiiniuun. What is prob of sequence ii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118465?\nAnswer: 5, 19, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(2\/(-91)) - 2. Let u = -68 + g. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 2 - 2 - 6. Suppose -8*q = -3*q - 25. Let b be s(q). Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-20))\/(392\/(-245)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27805.642 and 2.\nAnswer: 55611.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172.3 - 172.3. Let j be (-28)\/(-10) - (-2)\/10. Let q be j + 87\/(-18) + 2. Which is the third biggest value? (a) -2 (b) q (c) y (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 817180 and 700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 40*r + 124. Let t be c(-38). Solve -4*q = 8*q - t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 1. Let p(y) = -2 + 5 - 2. Let x(z) = -g(z) + 6*p(z). What is the tens digit of x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**5 + f**5 + 5*f**5 + (-6 + 6 - 8*f)*(5 - 5 - f**4).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 13*b**2 - 2*b - 1. Let q be l(-1). Suppose 26 = 5*v - q. Suppose 3*r - 1 = -g + v, 2*g - 3*r = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -5*a + 224*a + 7584 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evveumff. What is prob of sequence uf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63915, 63913, 63919, 63933?\n\"Answer: 4*q**2 - 14*q + 63925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8882.1 + 8882. Which is the closest to 0.2? (a) -2\/13 (b) 25 (c) -0.2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 782.6212kg?\nAnswer: 0.7826212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 782, -9 in decreasing order.\nAnswer: 782, 6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 179)*(-1 + (-69)\/9) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4633.07 - 4432.4. What is q rounded to 0 dps?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 11 = 55. Suppose 7*k - k = 90. Suppose 6 = -p + k. Calculate the least common multiple of p and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017495 is divided by 99.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + -2764245?\nAnswer: -2764310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.720021 rounded to three decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v**4 + 43224*v**3 + 246284*v**2 + 313680*v - 110736 = 0. What is v?\nAnswer: -1538, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/(o\/o**5))**(-35) assuming o is positive.\nAnswer: o**(-385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z. Let x(d) = -15*d**2 + 11*d + 11. Let c(g) = 8*g**2 - 6*g - 6. Let w(t) = -11*c(t) - 6*x(t). Determine p(w(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huug when four letters picked without replacement from {p: 8, e: 3, u: 5, h: 1, g: 2, b: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129682593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*s - 26*s. Factor 2\/3 + s*a - 2\/3*a**2.\nAnswer: -2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-14))\/(6\/(-21)). Let g(i) = i + 2. Let j be g(0). Factor -4*v + 5*v**2 - 4*v**2 + j*v**y + v**2.\nAnswer: 2*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p - 0*a + 4*a, 4*p = -2*a + 2. Suppose v = -p + 7. Let d be (-6)\/(-7)*(6 - -1). Calculate the greatest common factor of v and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 6*z**3 + z**4 + 2*z**4 + (2*z**3 + z - z)*(5*z - 3*z + 0*z).\nAnswer: 3*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Suppose n = -4*k + 8*k - 20. What is the closest to 0.1 in -1\/3, -4, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45c (base 16) in base 5?\nAnswer: 13431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6439, -6442, -6447, -6454?\nAnswer: -6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*q**2 + 302*q**2 - 695*q**2 + 306*q**2 + 283*q**2.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x - x**2 - 7*x + 4 + 3*x**2. Suppose -3*f + 3 = -4*y - 1, 5*y + 20 = 0. What is the smallest common multiple of i(f) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(1296)*1 + sqrt(1296)) + 3*(-1 + sqrt(117)))*-3.\nAnswer: -217*sqrt(13)\/8 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203640 is divided by 101801?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 824588 a multiple of 1137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 6*x + 48. Let k be y(-5). Let r = k - 108. Calculate the highest common divisor of r and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 4) to base 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.429937 - -1.43. Round q to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 90277 - 90359 = n. Which is the biggest value? (a) n (b) 4\/9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 30431?\nAnswer: -30412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -478 + 844. Let z be (b\/4)\/(11\/(-396)). Calculate the remainder when z\/(-90) + 2\/5 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/18*(-6)\/(-15)*(-38)\/190*6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824 = 3876*j - 825 - 3875 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 - 2*m**2 + 5*m - 2. Let j be s(3). Suppose 5*i - 1226 - 1269 = 0. Suppose -i = -4*r - 3*y, r - j = -y + 2*y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - 93. Let m = -39 + l. Let y = -1 - -0.9. What is the second smallest value in m, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0848439m to centimeters.\nAnswer: 8.48439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2157 - -0.0157. Which is bigger: t or 17\/87?\nAnswer: 17\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1664 + -1662. Let k(o) be the first derivative of -7 - o + 0*o**3 - 15\/4*o**4 + 0*o**v. What is the first derivative of k(f) wrt f?\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**4 - 45*w**3 + 70*w**2 + 120*w = 0.\nAnswer: -1, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vii. What is prob of sequence ii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:10 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {k: 1, u: 1, g: 5, y: 2, j: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j*j**2*j*j*j\/(j*j**4)*j*j**(-1\/5))**(-22) assuming j is positive.\nAnswer: j**(286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from agpapmh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*(sqrt(432) + -1) - (2*sqrt(432) + 5)) + sqrt(432) + -3 + 1 + 3 + sqrt(432)*-3 + sqrt(432))**2.\nAnswer: 192*sqrt(3) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.09 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 7. Let z = d + -1. Solve -y = m - 9, y - z = -2*m + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/4*(-2270)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.068 - 0.532. What is the nearest to 1\/4 in 1, w, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*c + 17*c - 15*c)*(236 + 79 + 69) as q*c + v and give q.\nAnswer: -3072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 350222240?\nAnswer: 350222244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**6 - 4 + 0*i**6 + 7*i**2 + 4 wrt i?\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2)**(-9\/2))**43 assuming s is positive.\nAnswer: s**(387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14239441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 10*l - 8985, 2*l - 17*i - 1782 = -21*i. Let m be (0 + -1)\/((-2)\/26). Calculate the highest common factor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 148. Suppose y = -4*a - 52 + 237, 5*y - n = -a. What is the units digit of (-54)\/a*(-105)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1001 and 22880.\nAnswer: 160160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4709*u**3 + 38*u**2 + 189*u - 7. Let g(x) = 6279*x**3 - 50*x**2 - 252*x + 9. Let r(z) = 7*g(z) + 9*k(z). Find the third derivative of r(b) wrt b.\nAnswer: 9432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + d**2 + 743. Is a(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89.6 - -89.7. Sort -0.07, -8, k in increasing order.\nAnswer: -8, -0.07, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2\/(-3))\/((-4)\/(-18)) - -9 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2827 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -509700 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -j + 3*y + 159, -5*j + 1473 = -3*y. Let s = j - 436. Round s to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000063254 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*l - 52*l + 30362 = 321*l for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 2:08 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -2. Let t(q) = -2*q**3 + 52*q**2 - 17*q + 445. Let o be t(26). Sort -1, y, o.\nAnswer: y, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.71 + -41.3. Let o = w - 0.41. Which is the closest to 2? (a) 5 (b) 2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:44 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 4. Determine v(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -1015, -4, 72, 2 in decreasing order.\nAnswer: 72, 9, 5, 2, -4, -1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30803, -30807, -30813, -30821, -30831, -30843, -30857?\nAnswer: -30873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228, -1214, -1206, -1204, -1208, -1218, -1234?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -106 from 37275698.\nAnswer: 37275804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 4*t. Let m be p(-2). Suppose m*y + 152 = 4*i, 2*i = -4*y + 34 + 66. Suppose -2*c + i = -0*c. What is the highest common factor of c and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 5*x**3 - 2*x**3)*(-94 - 25*x + 94).\nAnswer: 150*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/(6\/36). Suppose 0 = -5*m - 2*a - 24, 0*m + 3*m + 3*a + k = 0. Let b = m - -9. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w - 11 = 196 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 689 (c) 0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 8:02 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2. Let s(d) = -17*d - 18. Give s(r(t)).\nAnswer: 34*t**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2480 and 1662592.\nAnswer: 8312960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gox when three letters picked without replacement from {g: 2, x: 1, o: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -39 (b) -1 (c) 5 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -165 (base 12) to base 14\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.2056 rounded to one dp?\nAnswer: 281.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 164415*n**2.\nAnswer: -5*n**2*(n - 32883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151132, 151133, 151136, 151141, 151148, 151157?\nAnswer: 151168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*a + 30, 0*a - 15 = -5*f - 2*a. Let n(o) = -102*o - 204. Let x be n(-2). Solve x = -f*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - -112. Let h = -319 + n. What is the third smallest value in 8, 0.2, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnpormg. What is prob of sequence ng?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 58. Suppose -5*s + s = -5*g - p, 35 = 5*s - g. Differentiate -7*m**2 + s + 0 - 3 - 2 with respect to m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101010000000101111 - -1001001?\nAnswer: 1110101010000001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -42*r**3 - 46575*r**2 + 3340*r + 14418. Determine t(-1109).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from jnnznjjjjnjnvzvzjnn?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/1155*((-224)\/(-400))\/(8\/(-20))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/2*6264\/60?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 2*b - 6*b + 0 - 3 + 49*b**2.\nAnswer: 49*b**2 - 13*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 19*f**2 + 26*f - 6. Give b(16).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*-28*(-490)\/(-2744)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (962\/37)\/(4\/(-194)). Let l = -678 - t. Calculate the remainder when l is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/511433 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 take away 0?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 341 - -185. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let w(x) = -x + 5. Let z(u) = 2. Let c be (-2)\/3*(-4 - 2). Let q(a) = c*w(a) - 10*z(a). Calculate q(i(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11749, 11734, 11717, 11698?\nAnswer: 11677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(2\/27)*z)\/z))\/(z*z**(-1)*z)*(z*z*z\/z**17)**15 assuming z is positive.\nAnswer: z**(-5672\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -79*b + 155. Suppose 4*i - 68 = 4*d, -4*d + d - 4*i = 23. What are the prime factors of m(d)?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Let r = m + -6. Put -3, -4, r in decreasing order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 4*b + 8*b)*(-1 - 1 + 3) to the form d + w*b and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.26 and 39.\nAnswer: 127.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*n + 160, n = -8*c + 5*c + 92 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356367574*b**2 - 171593631*b wrt b?\nAnswer: 712735148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, -5, 4, 280\/67, 2\/9 in descending order.\nAnswer: 280\/67, 4, 2\/9, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**9\/84 + 212*o**7\/105 - o**6\/60 - 1429*o**5\/15 - 10*o**2 - 73*o. What is the third derivative of f(l) wrt l?\nAnswer: 720*l**3 + 10176*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380212 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 498 + -497. Calculate the smallest common multiple of 95 and (a + 2)*36\/27 - 3.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 292.65244 and 2411278?\nAnswer: 2410985.34756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3953644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60663 - 20333?\nAnswer: -111326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-20)*60\/(-2). Let p(h) = 251*h**2 - 2260*h + 29. Let o be p(9). Solve o*c - k*c - 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117493 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299476 is divided by 74743.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 11:05 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w**2. Let m(x) = 34*x. Calculate y(m(i)).\nAnswer: -12716*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggzz when four letters picked without replacement from zgzg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -17*k**5\/4 + k**4\/4 - 242*k**2 - 529*k. Differentiate m(j) with respect to j.\nAnswer: -255*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121.85 minus -1.78709?\nAnswer: -3120.06291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -441, 0.3, 5, -282\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 121*d - 2176. Determine p(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -72 - 579*j**4 + 198*j**2 - 114*j**3 - 64*j**3 - 9*j - 11*j**3 + 93*j + 498*j**4 = 0.\nAnswer: -3, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 12*h**2 + 31*h + 13. What is w(-14)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 4*a + 15, 2*v + 3*a + 30 = 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*u + 84*u = -60*u - 16362. What is the greatest common divisor of 27 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*c**4 - 3*c**3 - 5*c**2 + 16*c - 81?\nAnswer: 708*c**2 - 18*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23327429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 10. Let i = 57 + -40. Suppose d + 5*n = -i, 4*d + 5*n + 24 = 1. What is the closest to 1 in -0.4, d, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1336930)\/(-105) - 5 - (-4)\/(-6).\nAnswer: 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 > -596\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 18758 - 38116 + 19020)*(-4*d + d + 6*d) to x + i*d + v*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/(-4) - (-9 - -16). What is the third smallest value in -2, -5, -2\/15, u?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + j = -3, 303*i - 298*i + j = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 862, 1713, 2552, 3373, 4170?\n\"Answer: -y**3 + 858*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f - 11 - 1\/2*f**2. Suppose -4*i - 4 = 0, 4*b - 12 = 3*i - 5. Let r(n) = 5*n - 3. Determine b*r(l) + 3*s(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29580*g**5 - 3104*g**2 - 1910748*g - 33 wrt g?\nAnswer: 591600*g**3 - 6208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, 116, 339, 662, 1091, 1632?\n\"Answer: u**3 + 41*u**2 - u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4924034?\nAnswer: 2, 37, 66541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*h - 130, 166*k - h = -21*k + 817 - 290 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 3 (c) -0.5 (d) -0.392\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847186, 847184, 847182, 847180?\nAnswer: 847178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**7\/105 + p**6\/90 + 4*p**3\/3 - 4. Let f(w) be the third derivative of o(w). What is the third derivative of f(s) wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2. Let v(x) = -23*x**2 - 49. Calculate i(v(l)).\nAnswer: -529*l**4 - 2254*l**2 - 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 279 = -5*h, -3*h + 76 = f - 47. Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 10787?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56.8 and -0.2?\nAnswer: -11.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -182.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/10 - (-6)\/(-15). Let w(u) = -43*u**2 - 8*u + 20. Let x be w(4). Let k = -2099\/3 - x. Which is the closest to k? (a) 1 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74000 rounded to the nearest 1000?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -987045 plus 30046105?\nAnswer: 29059060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 + 8 - 3*g + 5*g - 11 in the form x*g + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 not equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 4*k - 5*h, -4*k + 8382 - 8418 = 4*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/21)\/((33\/56)\/((-3388)\/(-3696)))\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -349511*m**2 + 142586*m wrt m?\nAnswer: -699022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(1331))*-4)**2.\nAnswer: -1408*sqrt(11) + 21552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 1\/6*i**3 + 0*i**2 + 11*i + 0. Let n(l) = -13*l. What is n(w(m))?\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*33\/(-21) + 3. Let s(u) = -u. Let o be s(4). Which is the second biggest value? (a) 1 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -334442 or -334417?\nAnswer: -334442","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {l: 2, o: 1, x: 2, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than 88\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-20)\/c)\/c*c*c**(2\/15)*c*(c**(-8)*c*c)\/c**10 assuming c is positive.\nAnswer: c**(-538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 39*r**2 - r + 48*r**2 + 18*r**2 + 2 to n*r**2 + w*r + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)*j)**(18\/7))**(-15) assuming j is positive.\nAnswer: j**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(228) + sqrt(228)*3) - 5*(sqrt(228)*-2 - sqrt(228) - sqrt(228)))\/(sqrt(12) - (sqrt(96)*2)\/sqrt(8) - (sqrt(12) + 1*sqrt(48)\/sqrt(4))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185783997.\nAnswer: 1657, 715621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 134805929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490 a factor of 4238481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132223 + 10012102?\nAnswer: 10210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-205*6\/(-150))\/((-1)\/(-35)). Suppose 3*d + 167 = u. Calculate the highest common factor of d and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 divided by 5?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92130 is divided by 4364?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -2 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.56311 greater than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*l**2*o**2 + 1269*l**2*o + 2*l**2 - 827*l*o**2 + 2*l*o - 22*l - 3*o**2 + 1 wrt l.\nAnswer: -226*o**2 + 2538*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, q: 2, f: 8, b: 3}. Give prob of picking 1 b and 2 m.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 51500114 (base 6) to base 12\nAnswer: 5b763a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (2 + 1 - ((-20 - -24) + -21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.2710023062 - -28.271. Round q to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -34, 44, 276, 716, 1418, 2436, 3824?\n\"Answer: 9*o**3 - 4*o**2 - 73*o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*c - 531973 - 296929 = -10739*c - 36734 for c.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1584313 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/985786 and 69\/10?\nAnswer: 4928930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 129 = -111. Let b = x - 26. Suppose -4*m - 2*p + b = -m, 3*m - 2*p = 14. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 115 = -15. Suppose 584*j + 85 = -573*j + 1174*j. What is the highest common divisor of j and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 + 4*z**2 + 90 - 90. Let r(n) = -8*n**2. Give r(w(o)).\nAnswer: -800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 56. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5104)\/(-2900)*(-2100)\/(-56)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(264\/18)*-2*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017853802 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -102*j**2 + 1236*j - 144. Give g(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noeoohnfoonhhehh. Give prob of picking 3 o and 1 f.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 13*n**3 + 36*n - 45. What is the derivative of m(k) wrt k?\nAnswer: 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*v - 8, -8 = -2*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 154, 254, 348, 436?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9598*o**3*x**2 - 2*o**3 + 108*o**2*x**2 + 1755812*x wrt x?\nAnswer: -19196*o**3 + 216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 9*w**2 - 14*w - 196. Let u be z(-7). Solve u = -3*l - 2*b + 7*b - 21, 19 = -2*l + 5*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -113*o**6\/30 - 5*o**4\/6 - 67*o + 54. Let a(g) be the first derivative of l(g). Find the third derivative of a(p) wrt p.\nAnswer: -2712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(158\/1106*14\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13849925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20037960 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p + 3*p)*(0 - 2*p**3 + 0) + (13*p**3 - 4*p**3 + 16*p**3)*(p + 1 - 1) - 8*p + 8*p - 6*p**4.\nAnswer: 21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004648 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 947*s**2 - 17208*s.\nAnswer: s*(s - 1912)*(s + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.257 - -15443798\nAnswer: 15443797.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 6*z + 2. Let q be y(-6). Suppose q*d + 3*a - a + 8 = 0, -25 = 5*a. Solve 1 = -s - d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000304442 (base 5) to base 10.\nAnswer: -9775622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663717746?\nAnswer: 2, 821, 404213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t - 5. Let s(k) = k - 2. Let g(y) = -17*s(y) + 6*z(y). What is the first derivative of g(d) wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 127 + 498 = -383 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:11 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/94145 and 42\/209.\nAnswer: 1035595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yavywvwvyvvavvwvvvyw. What is prob of sequence ww?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 38. Let j be k(-12). Suppose 2*n - 8 = -j*z - 0*n, 5*n = -10. Calculate the remainder when 58 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 110. Let r be 16\/88 - 40\/a. Let k(l) = 2*l**3 - 2*l**2 - l. What is k(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -8 - 16 - -48.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Suppose -5*d + 4*h + 0 + 30 = 0, -m*d = 4*h + 10. Solve 2*j + 1 = -5, -5*n - d*j - 11 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 35*x. Let d(o) be the second derivative of -o**3\/2 + 408*o. Give d(z(j)).\nAnswer: -105*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2 + (-33)\/(-15)). Suppose -v*q - 8 + 3 = -x, -2*q + 25 = 5*x. Suppose -1 = -f - 0*f. Sort x, 9\/7, f.\nAnswer: f, 9\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -50 - 45 - 2*f**2 + 95. Let h(o) = 15*o + 1. Give h(i(t)).\nAnswer: -30*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -2\/3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 192\/14 - (-6)\/21. Let d be (-2)\/(-6) + f\/3. Suppose 0*z + d*z = 0. Solve 3*a = -z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 0.36. Let x be (-4449)\/(-1483)*1\/(-21). Which is the closest to 1\/2? (a) x (b) -1\/2 (c) 18 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 7. Let g = x + -8. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 260\/12 - 4 - (-2)\/6. What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3127, 3108, 3063, 2998, 2919?\n\"Answer: c**3 - 19*c**2 + 31*c + 3114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 16*z**5 + z**4\/12 + 385*z**3\/3 + 2709*z. Find the second derivative of d(h) wrt h.\nAnswer: 1920*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10782491?\nAnswer: 10782491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a factor of 7901810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -1\/51 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -207208814 divided by -1459217\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39138542.\nAnswer: 2, 2647, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 15. Let r be i(0). Find the common denominator of 10*(-15)\/12 - 3 and (7 - 0)*r\/33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*n = -44, 5*o + 2*n = 79 - 47 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/6191? (a) -0.07 (b) -1\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13859065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28717077 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7890 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:25 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111011 - 10011001011110100?\nAnswer: -10011011101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c**(-1\/5))\/c)\/c)**(-15\/2)\/(c**(3\/7)\/c*c)**(-38) assuming c is positive.\nAnswer: c**(249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26 = -8. Let k(q) = 8*q + 8. Let w(l) = 5*l - 15 - 7*l + 6*l - 13*l - 6*l. Determine y*w(h) + 11*k(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154415*p - 154689*p - 154437*p + 463602*p.\nAnswer: 61*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126576?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 112236.8 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccczzzcoc. What is prob of picking 1 c and 1 z?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 14 = -2. Let c(k) = k - 11. Let l(b) = b - 11. Let h(o) = w*c(o) - 3*l(o). Let p be h(8). Which is bigger: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69251756 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 26. Suppose 18*s = 10*s + 24. Suppose s*l = -4*l + 406. What is the remainder when l is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 449 and 2154767613.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3392 = -8*d + 4336. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a kilometer in meters?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h = -45*h - 8. Solve h = -5*t - n + 1, 11 = -t + 3*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11160, 5, -3, 2 in decreasing order.\nAnswer: 11160, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, 7\/5, 4\/23, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 3\/7, 1.7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o, -3*u - 2*u - 2*o + 36 = 0. Let c = u + -1. Suppose -c*m + 28 = 3*a - 64, -a - 12 = -m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3, 2, 24, 36, 2646?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from nnnnnnnknnknnnnk.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85251997 times 0.4?\nAnswer: -0.341007988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10401424323 (base 5) in base 6?\nAnswer: -1043235424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 26. Suppose m = 4*i, -2*i - 2 + 3 = -d. Solve 0 = -d*o + 4*g + 12, 0 = 3*o + 2*g - 3*g - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**7\/16 + 23*n**6\/80 + 81*n**5\/160 + 13*n**4\/32 + n**3\/8 + 731*n. Factor y(l).\nAnswer: 3*l*(l + 1)**3*(7*l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = 0. What are the prime factors of -29*(p + 1 + -2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1496699142.5 to the nearest one million.\nAnswer: 1497000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.904 + 21.834. What is the third smallest value in -0.05, 2, 0.2, c, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -442728871 to the nearest 1000000.\nAnswer: -443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 37 = -4*s, -2*v + 4 + 18 = -2*s. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -128*h**2 - 3939*h + 835. Give y(-31).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 20 = -3*i + 2*i, 0 = -2*q + 2*i - 20. Let x = q + 13. Differentiate g**4 - x*g**4 + 13 + 14*g**4 - 6*g**4 wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from bskkfkkvffvkkfvfbvkf?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19360 and 2.\nAnswer: 19360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-459))\/(360\/(-1620))*2?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaafaayayybffyb. What is prob of sequence aab?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000303717149 to seven dps.\nAnswer: -0.0003037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 4*r. Solve -s - 3 = -r*s + 2*n, 5 = 5*s + 5*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 212?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/7882 and -67\/462.\nAnswer: 260106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -207470? (a) 1\/52 (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.46 - 4.36. Let l = 72 + -75. What is the second biggest value in -2, y, -4, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72658295 + -43597421. Let x(w) = w**3 + 4*w**2 - 6*w. Let p be x(-5). Suppose -b - 21939126 = p*i. What is i rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-1)\/2*-5. Suppose 5*f + 3*v + 20 = -2*v, 5*f = -v - 40. Let b = f + d. Let q(k) = -2*k**2 - 7*k - 4. Calculate q(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -7 + 0 + (7 - 2 - -14 - -70).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 2*d + 0*d - d + 19*d**2.\nAnswer: 19*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4131.9775 to the nearest integer.\nAnswer: 4132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -275, 4, 9, -5 in decreasing order.\nAnswer: 9, 4, -5, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706922 is divided by 3051.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 89*d**3\/6 - 23*d**2 + 3*d\/2 - 3362. Factor c(u).\nAnswer: (u - 1)*(89*u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129304391 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 1. Let l(o) = -5*o**3 - o + 7. Let g(z) = 296*z + 2071. Let v be g(-7). What is v*l(c) + 4*y(c)?\nAnswer: c**3 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207015 (base 13) to base 7.\nAnswer: -6304602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 2*c**2 + c + 3. Let f be h(-3). Let y(s) = 4*s + 17. Let u be y(-5). Let o = f + u. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -77. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 0.028 (b) 3\/2 (c) 3\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 915778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083496?\nAnswer: 2, 137, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2257 - -1587. Let b = f + 669.9954. Round b to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**4\/4 + 4*u**3\/3 - u**2 - 5*u - 4105. Let d(l) = l**2 - l - 1. Give 2*d(c) - x(c).\nAnswer: -3*c**3 - 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165643 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530774 is divided by 61229?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*i - 52, 18*a + 12*a = 2209*i + 34*a + 11013 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224787945*h**2 - 71784723*h - 6 wrt h?\nAnswer: -449575890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(30*n**3 + 83*n**3 + 27*n**3) + (3*n - n - 4*n)*(-5*n**2 + 3*n**2 + 0*n**2).\nAnswer: 144*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29674902 is divided by 72.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (0 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-20)\/(1040\/(-33)) + 15\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + 0\/9. Suppose g = -344*p + 339*p + 9655. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1326)\/(-204)*-9*4\/(-780).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/(3\/225). Let q be (-5)\/20 + (-35)\/4. What is the units digit of ((-6)\/q)\/(2\/f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(57)\/sqrt(3)*-2 - (-5 + sqrt(76) + sqrt(19) + -2))*5.\nAnswer: -35*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q. Which is bigger: q or -1\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(u**2 - u**2 + 3*u**2)*(-4 - 2 + 4).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/3)\/(((-500)\/(-24))\/(-25))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 751913000 rounded to the nearest 1000000?\nAnswer: 752000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1775, 4849, 10547, 20183, 35071, 56525, 85859?\nAnswer: 124387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 9*z**2 - 41*z - 259. Let l be w(-8). Which is the nearest to -62? (a) -4 (b) 0.5 (c) 0 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = -23*d + 39*d + 17 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkckppcpcppcp. Give prob of picking 1 c and 2 k.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -226, -314, -460, -664, -926, -1246, -1624?\n\"Answer: -29*v**2 - v - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -15144072.4737.\nAnswer: -15144074.4737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143855, 143851, 143845, 143837?\nAnswer: 143827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18014.\nAnswer: 2, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let w(r) = 2*r + 5425. Determine a(w(t)).\nAnswer: 4*t + 10850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 3088725 + 3088725 + 0*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7aa7a (base 12) to base 5.\nAnswer: 20221331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 2*g = -12*m + 3, 3*g - 2 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose 3*v - 2*v + 12 = m. Does 5 divide v\/1*(-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13979808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109534 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -0.9. Which is the second biggest value? (a) 1\/5 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 11885?\nAnswer: 11885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -10, 34, 120, 260, 466, 750?\n\"Answer: 2*o**3 + 3*o**2 - 9*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06343 less than -156191715?\nAnswer: -156191715.06343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1690 - 1.\nAnswer: -1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 6, -431, -7, -11 in descending order.\nAnswer: 6, 2, -4, -7, -11, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4, -2, -1 in descending order.\nAnswer: 4, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76310345*a**2 + 23123583 wrt a.\nAnswer: -152620690*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y)\/((y\/(y**(-6\/13)\/y))\/y*y)*(y**(-1)*y)**(-31) assuming y is positive.\nAnswer: y**(-97\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003876 is divided by 27885.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2346\/11? (a) -0.4 (b) -11 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -17. Suppose -i - 3*i + 18 = f, -2*i = -y*f + 26. Calculate the remainder when 53 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14042 - -14042.10499. Let k = 0.106 - r. What is k rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 87*b - 4. Let t(f) = 5134*f - 238. Determine -2*t(r) + 119*y(r).\nAnswer: 85*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 85, 872, 3013, 7186, 14069, 24340, 38677, 57758?\n\"Answer: 113*x**3 - x**2 - x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 29*d - 317. Let z be x(11). Solve 12 = 2*g + 4*m, -z*g - 3*g + 16 = -4*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005878 rounded to five decimal places?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 55, 81, 105, 127, 147?\n\"Answer: -l**2 + 31*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -15271*d - 7. Let x(y) = -83097144*y - 38090. Calculate 38090*a(g) - 7*x(g).\nAnswer: 7618*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10910831800 to the nearest 1000000.\nAnswer: -10911000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 + 419. Suppose 0 = -200*r + g*r - 552. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**7\/280 + z**5\/80 - z**2. What is l in f(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/5257 and -18\/18775?\nAnswer: 131425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3709717471\/2040 - -1818489. What is the common denominator of n and -41\/168?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 591278772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:30 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:33 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -1.2. Let s = -0.6 - r. Let g = 1.6 + -2. Is s > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 + (-108)\/45. Let z = k + 7. Let v be 4\/(-10) + 34\/10. Solve -z*w = -v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 14*m + 2. Let t(a) = 32*a - 274. Let p be t(9). Calculate j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*s + 2)*(2 + 0 + 1 + 0 - 4 + 2 + (1 + 1 - 3)*(1 + 1 - 3) + 34 + 32 - 10).\nAnswer: -116*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c + 4*c. Let t be -2 + 0 + c\/2. Let u be t\/9*6\/7. Sort 1\/5, -5, u in increasing order.\nAnswer: -5, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2, 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -4, 19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-3 + (10 - 3)). Let z be ((-22)\/(-6) - -1)*(14 + (-720)\/63). Solve -m + 0*m - z = -3*p, -5*m = g*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 659*f**3 + f**2 + 170*f - 170. Is 117 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -11.1. Let a = z - -8.9. Let w = -0.302 + -0.698. What is the fourth biggest value in w, -1\/5, -0.5, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4396 and 588?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 5*u - 5*u)*(-3 - 3 + 3) to the form d + j*u and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/30 + 0)\/(24\/(-16 + -128)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + b**3 + 3 - 9*b**3 + 10*b**3.\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 8*f - 4. Let h be x(-6). Suppose 5*w - 57 = 13. Calculate the greatest common divisor of w and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 2547982534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-21) - (132\/(-70) + 2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161.9929 - -162. What is s rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1 + 2*o**2 - 110*o**3 + 116*o**3 - 3*o - o. Let p be c(1). Solve -b + 2*s + 5 = 0, -p*b + 5 = s - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 39\/(-6). Suppose 0*q + i = -2*q. Is q smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from totot?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33122 = 17*t + 1961. What is the remainder when t is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 50 - 14. Let o be p - (-5)\/(5\/2). Let v be 15\/6*(-56)\/o. Calculate the greatest common divisor of v and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -7*b**2\/2 + 17*b + 10. Let o(g) = -3*g + 8. Let s(m) = 5*o(m) - 2*x(m). Let f(a) = -5. Calculate -4*f(v) - 3*s(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 97. Suppose 18 = 5*c - b. Do c and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*x - 50 = 2*p, x + 85 = 2*p. Is 5 a factor of 22 + 1 - p\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15616 + 281 = 7*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495826 at least as big as 495629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 14. Let n be a(5). Let h(m) = m**3 + 4*m**2 - 2*m + 5. Determine h(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 3. Let x be (2 - -2)*9\/(-12). Let u be m(x). Calculate the remainder when 47\/u + (-2)\/(-6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 11*m + 9*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770798053?\nAnswer: 3, 12457, 74143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*g + 4*g - 118, 0 = -3*m + 3*g + 60. Suppose -4 = 2*s, 2 = 3*u - 3*s - m. Factor -2*n**4 + 2*n**2 - 2*n**3 + u*n**3 + 4*n**4.\nAnswer: 2*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -4*i + 4*s, 7*i - 4*i - 2*s = -61. Let q be (-69)\/i + 5\/(35\/(-2)). Solve q*v = 3*g, 5*v + 3*g + 2*g - 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109393 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/15)\/((-2)\/10). Let v = l - 5. Let m = 3 + v. Is m greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45050 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1333 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 32\/2879 (c) -0.4 (d) -4 (e) 11\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.52*-11.\nAnswer: -5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1623)\/9)\/((-7)\/21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + k**4 + 0*k**3)*(-1 - 4 + 1)*(-2*k + 2*k - k).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let u be v(3). Suppose -13 = 5*q - u*g - 35, 2*g = 5*q - 16. Find the third derivative of -2*y**2 - 2*y**q - 3*y**6 + 6*y**6 wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -4*b**3\/3 - 3. Let w(q) = 12*q + 7. Let o(j) = -5*j - 3. Let k(u) = 7*o(u) + 3*w(u). Calculate k(x(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3411623017\/89588 + -152325\/4. Let p = -1702238\/739101 - z. Calculate the common denominator of p and 35\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -48*r**3 - r**2 - 23*r - 169. What is the remainder when o(-5) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230\/(-184)*(-60)\/(-5)*-2\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190626?\nAnswer: 2, 3, 31771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from gff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpffffpffffpff. Give prob of picking 2 p and 2 f.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12311300010 + -1?\nAnswer: -12311300011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(40)\/sqrt(8))*2 + 2.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.19 and 1.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let u(y) = -12*y + 9*y + y + 19. Let f be u(9). Let m(t) = 0 - 1 - 29*t + f. What is m(k(a))?\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -157.2, 0.2, -2, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from chhhhchcchhhchchchh?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*f - 3*f + 165, -4*o + 195 = -f. Suppose -3*i = 2*u - 14 - o, 4*u + 16 = 2*i. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -183*j**2 + 267375*j - 17532.\nAnswer: -3*(j - 1461)*(61*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(1*sqrt(343) + 2 + sqrt(35)\/(sqrt(45)*3)))**2.\nAnswer: 6400*sqrt(7)\/9 + 724738\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 160 + 65*f - 15\/2*f**2 = 0. Calculate f.\nAnswer: -2, 32\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f - 6 + 7*f - f + 13. Suppose 0 + 10 = -2*g. Calculate l(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -3, -70, 4 in increasing order.\nAnswer: -70, -3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 351 - 1412 = 2*l, 0 = -l + r - 879. Let q = l - -21838\/25. Let i = -2\/25 - q. Which is the closest to -1\/2? (a) i (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 475350.1703 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -1. Let r = -1 + k. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.29527cm to nanometers.\nAnswer: 902952700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + g**2 - 2*g - 1. What is b(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v*x**5 + 325*v*x**3 + 16*v*x**2 + 704*v*x - x**4 wrt x?\nAnswer: -60*v*x**2 + 1950*v - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l**2 + 29*l**2 - 118*l**2 + 31*l**2 + 26*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let a(z) = z**3 + 9*z**2 + 2. Let s be a(-9). Let n(t) = -t**2 + 5*t**s - 3*t**2. Give h(n(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 2. Let v(l) = -99 - 14*l + 290 - 96 - 103 + 2*l. Let p(r) = r**3 + 5*r**2 + 3*r - 2. Let c be p(-4). Give c*v(u) - 9*g(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 721149133 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/160)\/(14\/10).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181263 or 2\/161?\nAnswer: 181263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*w - 7*w + 13*w)*(-4 + 82*w - 155*w + 82*w).\nAnswer: 981*w**2 - 436*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1, -3, -23, 7 in increasing order.\nAnswer: -23, -3, -2, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(11\/4)\/(x**(2\/5))**(8\/7) assuming x is positive.\nAnswer: x**(-16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 15 + 27 = 0. Let a be p\/(-4) - (-3)\/2. Suppose -i - a = -6*i. Do 1 and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*q + 6 + 28, -3*p + 24 = 3*q. Suppose 0 = -0*c - 5*c - q. Let z = -0.4 - -0.2. Is c bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -5*r + 6*r, z - 5*r - 18 = 0. Let d be (z - -2) + -1 + 7 + -4. Suppose 5*m + 2*v - 4 = 4, -4*v = -2*m - 16. Solve 0 = -d*q - m*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/44 - 6\/(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760 = 5*p + 2*s, p - 355 = 2*s - 3*s. Suppose 0*v - v = 5*h - 432, -3*v + p = 4*h. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {t: 1, g: 2, f: 1, u: 1, m: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*b - 123 = -7*b - 97, -30*b - 60 = 10*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1277692 or 1277686?\nAnswer: 1277692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20966, 41916, 62848, 83762, 104658, 125536, 146396?\nAnswer: 167238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11320*-31.\nAnswer: 350920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - (3 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12425*b**3 - 3110*b**3 + 3022*b**3.\nAnswer: -12513*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 29395 = 484*h - 480*h, -5*h + 36728 = 4*d. What are the prime factors of h?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i + 5. Let l be v(0). Suppose -5*u = -10, -2*g = -0*g - l*u - 36. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 32*x - 420. Let l be p(-42). Let n(z) = 5 + 0*z + 3*z - z**2 - z**3 + 6. Let w be n(l). Solve -1 = -4*m + w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/4 (b) 6\/13 (c) -1\/7 (d) 0.3 (e) 20\/19 (f) 52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -49. Let g = a + 546. Is g\/14 + 6\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-77))\/(78\/132).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*z + 1 = 0, 21 = -0*o - o - 2*z. Which is smaller: o or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/o)\/o*o\/(o\/(o**(-4)*o*o*o))*o*(o\/o**(-1))**(19\/2) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 117*a**2\/5 + 48*a + 12\/5 = 0. Calculate a.\nAnswer: -2, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6604957.7 and -0.1993195.\nAnswer: 6604957.5006805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 10*z**2 - 17*z - 7. Suppose b + 4 + 16 = 4*a, -4*b - 35 = -a. Let r be n(b). What is the units digit of 534\/(-21)*(-7)\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*n - 12, -5*n - 3*p = 12 + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 25165051?\nAnswer: -2\/25165051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:28 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.8382 to 1 decimal place.\nAnswer: 247.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.2, -1\/19, -0.3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 0, 46*n - 47*n + y = 5172. What is the thousands digit of -5 + n\/((-20)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/23)\/((-6*70\/(-15))\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 24.06123 meters?\nAnswer: 24061230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212.66 - -215.66. Is -541 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**0))\/t**(2\/11))\/(t\/(t*t\/t**7)*t*t\/(t\/t**(-1))*t) assuming t is positive.\nAnswer: t**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-32)\/132*(-9)\/(-6)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 160\/(-84))*3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -61261200 (base 7) to base 3\nAnswer: -100121110222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18131 + 431336. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/9 + 14*l**2\/3 + 30*l + 54 = 0. Calculate l.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -401.9 + 413.851. Let t = -0.0404 - 0.2106. Let s = t + h. Round s to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34458133, -137832561, -310123273, -551330269, -861453549, -1240493113?\n\"Answer: -34458142*x**2 - 2*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 8*z + 9. Let w be p(-5). Let v be (-9)\/(-21) - (7 + w). Are -1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -27. Let k(m) = -m**3 - 3*m**2 + 5*m. Give k(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus -0.132?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 7*v**2 - 5*v - 18. Let l be m(8). Let o be 4*(33\/l + -5). Calculate the greatest common divisor of o and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2037 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/4*-1*1. Let g(i) = -6*i**2 - i + 0*i**2 + 1 + b*i**2. Suppose 5*o = 2*o + 3. Determine g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i**5 + 0*i**6 - 29\/210*i**7 - 13\/12*i**4 + 12*i**2 + 0 + 0*i**3 + 0*i. What is the second derivative of v(y) wrt y?\nAnswer: -348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/15)\/(2\/(-3)). Suppose -r - 12 = z*r - 5*p, p + 20 = -5*r. What is the remainder when (-7)\/14 + (-38)\/r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 + -5 - (3 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -6, 431, 5, 2, -2\/35, -2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*a = -2*s + 69, a - 171 = 4*s. Let u be (-6)\/56*s\/12. Let f = 1 + 5. Put f, 3, u in decreasing order.\nAnswer: f, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73340 and 93700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - w - 4 - 1 + 1 - w + (0 - 2 + 3)*(0*w + 0*w + w) + 1 - 2*w - 1 - 3*w - w + 6*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + 3 + sqrt(1539) + -2))) + -4*(-3 + sqrt(1539)))*-2)**2.\nAnswer: -1872*sqrt(19) + 25300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -3b547a?\nAnswer: 3b5479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**3 - 12*g**2 - 11*g - 25. Determine z(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 159 = -4*l, 9*l - 11*l + z - 83 = 0. Put -3, 0, l, 4 in descending order.\nAnswer: 4, 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/34*62\/1178*323.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-2)\/((-12)\/18). Let p be 3 - (l + (-16)\/20). Which is the second biggest value? (a) p (b) -1\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 13, t: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19686, -2\/23, -2.\nAnswer: -2, -2\/23, 2, 19686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33, -168, -437, -876, -1521, -2408?\n\"Answer: -6*c**3 - 31*c**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(5) + -2))**2 + 1.\nAnswer: -4*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 4:50 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = 0, 0*g - 2*n + 4 = 2*g. Suppose -3*t = -3*i - 231 - 381, -843 = -4*t - 5*i. Is t\/6 + g\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 0*i + 5*i + (3 - 1 - 1)*(-512 + 253 + 254 - 26*i) to the form o*i + l and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 418 + -418. Which is the closest to -1\/40? (a) 3 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(363) + 1 + sqrt(363) + 2)**2 + ((1*(sqrt(363) + -4))**2 - sqrt(363)) + 0 + -3.\nAnswer: 33*sqrt(3) + 1832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 2*x - 192. Let v be n(10). Which is the biggest value? (a) 4 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418.12*0.04\nAnswer: -16.7248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 8*s + 7. Let o be p(-9). Let b = o + -24. What is the units digit of b\/6*6\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 16. Let g be m(6). Suppose -6*o = -g*o + 2. Suppose -4*j - 28 = -4*p + 4, 0 = -3*p + 6. Put j, o, -1 in decreasing order.\nAnswer: o, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 472, 750, 616, -140, -1728, -4358?\n\"Answer: -35*i**3 + 4*i**2 + 511*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/19)\/(v**5*v))\/(v**(1\/3))**(4\/9) assuming v is positive.\nAnswer: v**(-3208\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from iiloimp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*q - 16 - 1, -4*f = 4*q - 12. Suppose 3*w - q*w - 6 = 0, -2*w + 659 = p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - -7. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10691703 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6219400 divided by 5.\nAnswer: 1243880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p. Does 11 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.43 + 0.03. Let n be -1 - ((-30)\/100)\/((-6)\/(-28)). Let u = 15 + -8. Which is the smallest value? (a) n (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 35*j**4 + 13*j**3 - 2*j**2 + 33*j**4 + 2 + j**4 as b + d*j**2 + a*j**4 + f*j**3 + n*j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1442434 and 295106?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(663\/102).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/5 - 17014154*h\/5 + 72370359083929\/5 = 0. What is h?\nAnswer: 8507077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + (-1 + 3)\/(-1). Suppose 0 = -4*u + 5*u + i. Is (-2)\/u - (-80)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, m: 1, u: 1, x: 2, a: 3}. What is prob of sequence mal?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (332\/(-1411) - (-138)\/153)\/((-4)\/(-990)). What is the greatest common divisor of c and 5115?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0436 - 0.3824.\nAnswer: -0.3388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w + 101. Give x(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 - 12 = 0. Let j = -1629 - -1633. What is the second biggest value in a, -0.05, j?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 137*b\/4 + 141.\nAnswer: -(b - 141)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 - 2\/6. Let j be (-6)\/(-2) - 145\/45. Let h(r) = r**3 - 29*r**2 - 172*r + 70. Let y be h(34). Which is the nearest to o? (a) -2\/45 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w + 11*w - 12*w + 1 - 10*w + 8*w.\nAnswer: -26*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/(-65) - ((-298)\/(-10) + 2). Let r = p - -38. Let l(f) = 0*f - f + r*f - f**2 - 5. What is l(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10109*0.5.\nAnswer: -0.050545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-8)*(-4)\/36\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((270\/24)\/(-15))\/(33\/1584).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - v**2 + v**2 + (-1630*v + 1630*v + 918*v**3)*(0*v - 3*v + 2*v) - 2*v**3 - 3*v**4 + 2*v**3 to l*v**4 + w*v + n*v**3 + b + a*v**2 and give l.\nAnswer: -922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 2*r - 46. What is s(0)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 3\/113 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:58 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 888617934830.\nAnswer: -888617934826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 (base 13) in base 6?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770620104.\nAnswer: 2, 11, 131, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 8 (c) 4 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-6 - (19 - 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(6900\/(-24)))\/(22\/99*(-72)\/(-40)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 1, -231, -6, -13, -3, 3.\nAnswer: -231, -53, -13, -6, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59122 is divided by 389?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 8*d**2 - 5*d + 9. Determine l(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3, -1, 24.\nAnswer: -3, -1, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472230 (base 12) in base 16?\nAnswer: 3f05c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggwwwwgggw. What is prob of picking 3 w?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3101 + -3093.892. Let r = -3.87 + b. Let t = 0.062 + r. What is t rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 3, 4, 5?\n\"Answer: w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*g*h**3 - 1460*g + 890064*h**3 wrt g.\nAnswer: 48*h**3 - 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252)*-1)**2*1.\nAnswer: -36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 159. Let f(d) be the second derivative of 0 + 0*d**3 - 1\/2*d**4 + g*d + 0*d**2. Let p(q) = 3*q. Determine f(p(n)).\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 28*s + 3. Let d be j(9). Suppose 43 = p + 164. Let b = p + d. What is the remainder when b is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)*43*(1 + -5). Suppose -5*k + a = -p, -5*k - 3*a + 124 = -3*k. Calculate the smallest common multiple of k and 48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*b + b + 6, -3*h = 2*b. Suppose n - 263 = 2*f, 4*f - 2*n = h*n - 524. Let m = -130 - f. Solve m*x + t + 2*t = -19, -5*t - 15 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1491 divided by -3\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*x = -3*u + 126, -5*x = 0. Suppose u + 18 = -2*p. List the prime factors of 30*4\/p*-3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let p(x) = -14*x + 2*x - 4*x - 14*x. Determine p(d(q)).\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + -2 + 4) - ((1*sqrt(1700) - sqrt(1700)) + 3)) + -5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462431 is divided by 457.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -852, 1, 5, -38.\nAnswer: -852, -38, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let t(m) = m**3 - 3*m**2 - m + 4. Let v be t(3). Let z be -1*(2 + 4)*v. Let f be n(z). Solve -2*d = f*i - 9 + 42, 4*d = 3*i - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117))\/sqrt(9) + ((3*sqrt(156))\/sqrt(12) - sqrt(13)) - (1*(sqrt(78) + 1*sqrt(78)))\/((sqrt(144)\/sqrt(3))\/sqrt(8))) + 0.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1918698 divided by 6?\nAnswer: -319783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -2 (b) 2\/9 (c) 4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -4. Let p be 7 + -15 + 4 + 1*z. Let n be -8 + p + (93 + 0 - 1). Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiipippmmmpippmmpp. Give prob of picking 2 i and 1 m.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 739951644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-4\/7)*o**(-1\/11)*o**1 assuming o is positive.\nAnswer: o**(402\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2. Suppose x = 2*d, 0 = -x + 5*d + 50 - 53. Let y(h) = 9*h**2 - 16*h**2 - 5*h**2 - 13*h**x. Give y(f(j)).\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6447101 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 2*y - 9. Let m(b) = -b**2 + 3*b - 13. Let u(q) = -7*f(q) + 5*m(q). Let k be (-4)\/(-3)*(-3)\/2. Let o be u(k). Solve -o*z - 5 - 11 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -62. Suppose -q + 15 = 2*t. Is (-2)\/(1\/(-822)*t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/12)\/((-50)\/(-40)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*d - 20, -2*w + 12 = -3*d + 4*d. Suppose w*b - 8 = -0. Find h such that 12*h - 15*h - 1 + 7 + 0 - 3*h**b = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3.6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 26. Suppose 5*h + 22 = -z. Is (4\/h)\/((-10)\/105) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1941464 divided by -8\nAnswer: -242683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10053 * -4.\nAnswer: 40212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 23*r**6\/12 + r**5\/60 + 177*r**4\/4 + 980*r**2. Find the second derivative of u(o) wrt o.\nAnswer: 1380*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**3 + 6*m**2 - 5*m + 1. Let d(c) = 5*c**3 - 7*c**2 + 6*c - 2. Let i(v) = 3*d(v) + 4*k(v). Determine i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55012, 220824, 497430, 884830, 1383024, 1992012, 2711794?\n\"Answer: 55397*z**2 - 379*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, -41, 2, 112?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 67441464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 333\/(-2) + (-36)\/24. Let n = g - -129. Suppose 68 - 191 = 3*y. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13884 + 47376 = -700*i - 22508 for i.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2347561 is divided by 7751.\nAnswer: 6759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6183\/8 - -775. Find the common denominator of o and (6\/25)\/(4\/(-65)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*i = 314*i + 894. Let w = i + 167. Solve 0 = w*o - 17*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = f - 15, -3*f + 5*d = f - 15. Let m = 5 + f. Suppose -2*h = -3*h + 2*z - 3, -5*h = -m*z - 10. Solve 1 + h = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 96 = 3*b, 0 = 2*u - b - 14 - 44. Let v(m) = -m**3 - 7*m**2 + 6. Let t be v(-7). Let c = t - -9. Calculate the highest common divisor of c and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12100719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 150228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42333 (base 5) in base 12?\nAnswer: 178b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10*(1 - -4). Suppose u + 4 = g. Suppose -b + 24 = g. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(2*c**4 - 3*c**4 - c**4) + (-6*c**2 + 2*c**2 + 0*c**2)*(-28*c + 28*c + 24*c**2) to b*c**2 + m + t*c + j*c**3 + w*c**4 and give w.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227131884 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70466 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q - 15. Suppose 0*n - q*n - 16 = 0, 0 = 5*z - 5*n - 20. Suppose z = f - 8 - 12. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -36.007. Let t = 0.022 - h. Let d = -0.02899845 + t. Round d to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 - -105. Suppose -u*p - 12 = 12. Which is the closest to -2\/3? (a) p (b) -1\/4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2480 divided by 4\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**2 + 49*l**2 - 4*l**2.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 9*m - 4*m + 24, -2*m - 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**3 + 1069*r**2 + 320*r - 2168. Give o(153).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/9 or 0.5849?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.094, -2, 2 in decreasing order.\nAnswer: 2, 0.094, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 19. Let o(v) be the second derivative of -v**3\/2 + v + 51. Determine s(o(z)).\nAnswer: -3*z + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = 2*t. Let y be (2 - 1)\/(-1 - -2) - t. List the prime factors of -6 + 2 + 2 + (4 - y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 27*d**2 + 42*d**2 + 2*d**4 - 31*d**2 - 20*d**2 to a*d + b*d**2 + k + p*d**4 + i*d**3 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 207754.573 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -64 and -519\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 3*z + 3. Let h(x) = -x**3 - 6*x**2 - 3*x - 8. Let s be h(-6). Let l = s - 16. Let j(a) = -a**2 + 2*a + 2. Calculate l*j(v) + 4*u(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**7)*y*y**2*y*y)\/(y\/((y**(-2)\/y)\/y)*y*y\/y**(2\/7)) assuming y is positive.\nAnswer: y**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -10*a + 94. Let k be (-2)\/6 + 28\/(-6). Let w = k + a. Solve -2*t = -w*r, 3*t = r - 10 - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 302272520 - -2?\nAnswer: 302272522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/16 - -4)\/(9\/1902). Let w = 963 - z. Does 53 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18605*k**4 - 30500*k**3 + 271760*k**2 + 591680*k.\nAnswer: -5*k*(k - 4)*(61*k + 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + -3*sqrt(66)*3)) + sqrt(66) - sqrt(66))\/(sqrt(6)*4*4) + -4 + 0.\nAnswer: -4 + 9*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*s - 33. Let d(o) be the second derivative of o**4\/12 - o**3\/2 - 9*o**2\/2 - 3*o. What is the least common multiple of s and d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4 + 11. Suppose -12*y + 44 = 5*r, -5*y + 22 = 5*r - 4*y. Solve p = -r, a*p + 5 + 35 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - 0.48. Put y, 2\/3, -4, 0.08 in ascending order.\nAnswer: -4, y, 0.08, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 0*w + 1\/24*w**6 + 3\/10*w**5 + 3 + 2\/3*w**3 + 3\/4*w**4 + 0*w**2. Factor h(r).\nAnswer: r**2*(r + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*x - 2*x + 14, -5*x = w - 12. Let o be 1\/4 - (-27)\/4. Let f be 4\/w*o\/(-42). Which is the second smallest value? (a) -6 (b) f (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let b(p) = 0*p - 6*p - p + 5*p. Give i(b(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 2. Let q be -2*(-27)\/12*8\/6. Let l(z) = -z. Give q*l(h) + v(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/36 - (-1)\/((-18)\/(-129)). Let v(q) = 5*q**2 + 0 - q**3 + 2*q**2 - 5 + 6*q. What is the tens digit of v(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**6\/6 - o**3\/2 - 6*o. Find the second derivative of y(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 7. Let k = -18 + 13. Let g(o) = 5*o - 6. Give k*g(a) - 4*x(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1119409318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-28)\/(-3)*((-105)\/14 + 33) is divided by 217.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/7 + 819582*q**3\/7 - 468336*q**2 + 3278360*q\/7 = 0. What is q?\nAnswer: -409795, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**3 - x**2 + 6*x - 5. Let h = -2646 - -2648. Give o(h).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-31)*j*j**(-2\/23)*(j*(j*j**(4\/23))\/j*j*j)**(4\/5) assuming j is positive.\nAnswer: j**(-3168\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 20 = 3*r. Suppose -3791 = -35*m - 1061. What are the prime factors of (-1)\/(r\/m)*2?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004370671 rounded to 6 dps?\nAnswer: 0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 4*g + 13 + g**3 + 0*g**3 - 3*g**3 - 10*g**4 + 12*g**4 to b*g**3 + l*g**2 + v*g + p*g**4 + t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*d - 11*d - 34181 - 34176 + 68357.\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22120 (base 3) in base 11?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 divided by 1229?\nAnswer: 1203\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28800864836 from 0.06.\nAnswer: -28800864835.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2738, 1\/10, -71, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l. Calculate the lowest common multiple of g(-2) and (-4)\/10 - (-13 + (-685)\/25).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 89 (b) 140 (c) -3\/31 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1329 divide 21035412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -187f0 (base 16) in base 11?\nAnswer: -69425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64284*z**4 + 19*z**3 + 1837011 wrt z.\nAnswer: -257136*z**3 + 57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -341492267*a**4 - 73281179*a**2 wrt a.\nAnswer: -8195814408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*i = i - 33, -5*i = -5. What are the prime factors of (-2*m)\/(-3 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 take away 1.6860582?\nAnswer: 112.3139418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 20*y + 23. Calculate b(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*h + h. Suppose 2*k - 12 = 3*j - 5*j, 18 = 4*k + h*j. Suppose k*b - 5*b = -74. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-4 + 7) - (-7 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -2, 2, 6 in descending order.\nAnswer: 6, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400 take away 37844949.1?\nAnswer: -37846349.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = f + 5*p - 164, 0 = 2*f + 5*p - 337. Let k = f + -158. Solve -k*j + 4 + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1414038km?\nAnswer: 141.4038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74002540 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 492 = 46*u. What is the remainder when u is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -226 or -14436?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 10 - 8, -17 = -4*n + 5*d. Solve v = -4*p - 3, -n*v - 9 = 4*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxtv when four letters picked without replacement from {h: 3, x: 1, n: 6, v: 2, t: 5}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0003474 rounded to 2 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -70)\/11*(-12)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*t - 24 = 0. Suppose -b = t*p + p - 10, -5*b = 5*p - 50. What is the greatest common divisor of b and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2515978, -1, -3, 3 in increasing order.\nAnswer: -3, -1, 3, 2515978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32768*o + 41301*o - 4970*o + 42892*o + 42385*o.\nAnswer: 88840*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/409132839 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - 10*h + 3. Let c(s) = 3*s**2 - 3*s + 2. Let t be c(2). Is u(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.2, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12 + 11*v**3 - 2*v + 0*v**2 + v**2 - 13. Let b be z(-2). Round b to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i - m = 696, -3*m + 1026 = 3*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + ((sqrt(55)\/(sqrt(44)\/sqrt(4)))**2 - sqrt(125)*4).\nAnswer: -20*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3 + 6 + 137*c - 151*c. Is m(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 4*q = -16*o + 460, 206 = 2*o + 6*q. Suppose -4*b + 92 - 28 = 0. Calculate the greatest common factor of o and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 0*t + t + 0*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -8. Suppose b + 5*h + 7 = 0, -3*b + t = b + 4*h. Let l(z) = -z**3 + 8*z**2 + 2*z - 3. Is 9 a factor of l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/1 + (5 - 6). Let j = 40 - v. Suppose 16 - j = -5*d. Let x(g) = -2*g + 3. What is x(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 20 - 86. Let j = -8 - -11. What is the remainder when v is divided by (3\/(45\/(-12)))\/(j\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(1216))**2*6.\nAnswer: -960*sqrt(19) + 36600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 6 + 7 + 2*x**2. Let o be l(-1). What is the third smallest value in 6, -5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 318627*b. Let r(n) = 4*n**2. Give t(r(m)).\nAnswer: 1274508*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 11*g - 12 = 0. Let a(s) = 1 - g + 3 - s**2. Let b(y) = 2*y - 3*y**2 - 2*y + 8*y**2. Calculate b(a(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -31, -43812.\nAnswer: -43812, -31, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4 + 1. Suppose 2*c - 5*c = 42. Let o = c + 27. Solve -s*h - 31 = 5*b, -4*b + 5*b + o = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-1) + 3 - -29 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/((6\/9)\/(-1)). Let q = -54 + c. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5607 + -5605. Solve -3*r = p - 8, 3*r - y*p = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 a when four letters picked without replacement from jjja?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:20 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 349 = -4*d, -d - 4*y - 23 = 69. Let w be (-2365)\/d - (-1)\/8. Let k = w + -13. Solve -k = t + 3*f, -3*t + 6 = -2*t - f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 77, 10, 5, 7 in decreasing order.\nAnswer: 77, 10, 7, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 2693560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 442345039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.66 + 45. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/585)\/(2\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**3\/3 - k**2 + 2*k + 10. Let s be b(2). Solve -s = -g + 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -383*l**2 - 2*l - 387*l**2 + 765*l**2 + 110*l. Let o(j) = -3*j. Determine a(o(k)).\nAnswer: -45*k**2 - 324*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -141398 - 1\/(-6 + (-65)\/(-10)). Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000264962322 rounded to seven dps?\nAnswer: 0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122636)\/(-21328))\/(1\/(-12)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 29. Which is the biggest value? (a) y (b) 0.03 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 354, 73, -3, 6 in descending order.\nAnswer: 354, 73, 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 16*c + 2*c**2 - 27*c)*(1 - 1 + c + (2*c - 2 + 2)*(-1 + 3 - 1) - 3*c - 2*c + 7*c + 0*c - 3*c + 2*c - 3 - 3*c + 3).\nAnswer: 2*c**3 - 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730025.\nAnswer: 3, 5, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37)\/(-2) + (-3)\/2. Let t(p) = 11*p + 6. Let m be t(1). Calculate the highest common divisor of m and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855535?\nAnswer: 5, 11, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -855, -3749, -8637, -15519, -24395, -35265?\nAnswer: -48129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21638411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 353770 = q. Suppose -q = -10*u + 8*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -234 - -232. Let a(v) = 2*v + 5. Let p(h) = -2*h - 4. Let c(b) = -5*a(b) - 6*p(b). Let q(m) = -4*m + 3. Determine z*q(y) - 5*c(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 11. Let y be i(-8). Suppose -2*s = y*b + 684, 0*b - b = 0. Let x be s\/(-81) - 4\/18. Solve -3*f = 0, p - f = x*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160383 + 31835 = -4*a + 4*d, 3*d - 6 = 0. Suppose -213*j - a = -222*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72137 and 22723?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 3*h = 8302. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 103*z**2 + 2271*z - 40. Calculate p(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {m: 2, g: 6, c: 1, z: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12 - 13\/3. Let z be (-21)\/(-9) - (n - (-30)\/9). Suppose 5*k + 95 = z*m, -3*m = -k + 3*k - 88. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 16*o**2 - 13*o + 15. Let s be l(6). Suppose s*w + 9 = -0*w. Which is smaller: w or -7\/23?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41029.\nAnswer: 89, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a - 12 = 0. Suppose -5*z - 21 = -a*g, 5*z = -g - 1 - 0. What is the third derivative of -193 + 193 - g*p**6 - 3*p**2 wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -10, -22, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(177\/36 + -5). Let v(a) = -a**2 - 10*a. Let g(r) = 2*r**2 + 12*r. Let t(y) = o*v(y) - 5*g(y). Let u(c) = 0*c**2 + 2*c**2 + 0*c**2. Give u(t(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4040324230 (base 5) to base 15.\nAnswer: aaaaca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 3 - 12*l + 7*l - 5*l**2 + 3*l + 2*l**2 - 3*l**3 as p*l**3 + w + a*l**2 + u*l and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892564 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/((-18)\/15)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -9*l**2\/2 - 2300. Let v(y) = 7*y**2. Determine v(m(f)).\nAnswer: 567*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*v + 577*v + 39 = 11*l, -4*v = 4*l - 32 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -33*x**3 + 8*x**2 - 8*x - 36. Let w(j) = -22*j**3 + 5*j**2 - 5*j - 24. Give 5*r(q) - 8*w(q).\nAnswer: 11*q**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-22 - (-24 - -6)) + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 292159 and 3130275?\nAnswer: 21911925","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393456 is divided by 196688.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + 3. What is x(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 113 = -4*t + 2*b, 2*t + 2*b = -48. Let w = 28 + t. Let o(r) = r**3 - 6*r**2 + 5*r + 6. Let m be o(w). Solve -l = m - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3 + 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2 - 6*c**2 - 5*c**6 + 0*c**2 wrt c.\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((18\/(-4))\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1944 - -7403. Calculate the remainder when x is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -65*m. Let x(b) = -13*b. Let w(l) = 5*u(l) - 26*x(l). Give w(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296004 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -60.000136. What is f rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/5*4 + 16. Suppose y = 4*y - 2*p - 21, -4*p = i. Let x be -2 - (-27 + 2)\/y. Solve -x - 3 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152957707.\nAnswer: 7, 223, 97987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-861)\/1148)\/((-48)\/130*(-10)\/8)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*10\/(-25))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 3, -2, 2 in descending order.\nAnswer: 3, 2, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/13 + 576\/(-702))*3. Which is smaller: k or 2538?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2 + 5*z**2 + z**2 + 0*z**2 + 2*z. Is g(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 397*d - 404*d + 7. Solve -6*v + d = -7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/9)*g*g*g*g**(3\/4)*g\/((g**1\/g*g)\/g)*g**5)**(-34) assuming g is positive.\nAnswer: g**(-6715\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 28*w**2 - 6*w + 3*w - 45*w**2 + 35*w**2.\nAnswer: 18*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 + 5*b**2 - 10*b - 5. Let d(a) = 4*a**3 + 6*a**2 - 10*a - 6. Suppose 115*v = 174*v - 354. Determine v*c(h) - 5*d(h).\nAnswer: -2*h**3 - 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 379943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10599\/338 - 24\/169. Find the common denominator of -15\/22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 337358885 and 580?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 1534 = 5*r - 4*r + 1537, -2*o - 83*r + 88*r = -7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 24913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 238576*m + 12883103. Calculate h(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 17*c - 2716 = -12*c, 4*c + 5438 = 2*w. List the prime factors of w.\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d*q**3 + 21790*d*q**2 + 110*d*q + 1110*q**3 - q**2 + 149551*q wrt q.\nAnswer: -18*d*q + 43580*d + 6660*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 8*l**2 - 14*l + 12. Let a be n(6). Is -14\/13 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k - k)*(4*k + 0*k - 2*k)*(-3*k**2 + 3*k**2 + 4*k**2) + (-2*k - 2*k + k)*(-5*k**3 + 5*k**3 + k**3).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 15 = 14*l. Is 2 a factor of (-17)\/l - (0 + 6\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 237.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -2)\/(2\/10). Let z(h) = -h**2 - 11*h + 8. Let b be z(-7). Suppose 9 = 39*j - b*j. Solve f - p = -4*y, j*y = -4*f + 2 + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*t = -53, 2*t = a + 3*t - 49. Calculate the greatest common divisor of a and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*o + 4752 = 282*o. Is o a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4 and 151\/696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2630 = -4*v + 2597, -16 = 2*b + 3*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhemhhemhhh. Give prob of sequence eem.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1530*j - 2131*j + 1133*j - 4807*j - 3.\nAnswer: -7335*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**6 - 30*c**5 - 58*c**2.\nAnswer: 480*c**3 - 1800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -88. Solve 0*j + v*j - 3*t = -1, 2*j + 22 = -4*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2 + 567789*h - 7950220. Determine j(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(8\/30))\/((-6)\/16). Let s(t) be the second derivative of -t**3\/6 + 25*t**2\/2 + 10*t. What are the prime factors of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/137 - 28887\/685. Let y = -43 - x. Suppose i - 1 = 2*f - 3*f, -4*i + 4 = 2*f. Is y not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15571, -15297, -14841, -14203?\nAnswer: -13383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a - 13. Let i(h) = -h**2 - 2*h + 6. Let b be i(-3). Let w(u) = 11*u + 38. Let f(v) = b*w(v) + 8*p(v). Give f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -j - 9*c + 123, 3*c - 239 = -2*j. Let h = j - 57. What is the second derivative of -21*d**3 + 8*d - h*d**2 + 61*d**2 wrt d?\nAnswer: -126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2123 + 145 = 21*w. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 955 - 604. Suppose 0 = -2*b - k + 222, 3*b - 3*k = -0*b + l. What are the prime factors of b?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3724, 193, 2, 5 in descending order.\nAnswer: 3724, 193, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/632, -23, -972.\nAnswer: -972, -23, 1\/632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 31. Suppose 0*c - 3*c - 6 = -4*g, -4*c - 8 = -2*g. What is the remainder when i(g) is divided by 12 + 1\/2*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4))\/p**2)\/(p**7*p**(-2\/9)) assuming p is positive.\nAnswer: p**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.91 and -137.\nAnswer: 398.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**2 - 58*p + 8. Let u be l(-6). What are the prime factors of 22*(-644)\/u + (-5)\/25?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(7\/(14\/(-3)))*(-4)\/(-14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.09, 4\/209, -0.2, -2\/3?\nAnswer: 4\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -44. Suppose -10 = -2*b, i + 23 + 0 = j*b. Let c(q) = 147*q + 1. What is the tens digit of c(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 - 6 + 6 + 2*b**2 - 2*b**2 + 2*b**4 - b**4 - 4*b**4 + 4*b**4 + (0*b + 2*b**2 + 0*b)*(-1 + 1 - b**2) + 49*b**3 - 49*b**3 + 3*b**4.\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 11. Let y = -73067 + 73068. Which is the third biggest value? (a) 50 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.068.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1433243 (base 6) to base 8.\nAnswer: 240733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54315 + 1?\nAnswer: -54314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 + -121. Let n = 64 + z. Is n != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88456, 176898, 265322, 353728, 442116, 530486?\n\"Answer: -9*k**2 + 88469*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * -0.05.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 1 (b) -5 (c) -0.3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 445386 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16233 - 1361*s - 16233)*(s + 2*s**2 - 3*s**2 + 0*s).\nAnswer: 1361*s**3 - 1361*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*b - 13*b + 25*b + 5 to the form d*b + t and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37447 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.220225 rounded to three decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1057*p - 5. Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**2)\/g*g)\/g)\/g*g)\/g**(-2\/17)*(g*g**2*g)\/(g\/g**0*g)*((g\/(g*g\/(g\/g**(-6))))\/g**(-1))\/(g**1*((g**(-1\/4)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(637\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*u)*(0*u + 8*u - 4*u).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 164*v**2 - 39*v. Let o(a) = 5*a + 81. Calculate b(o(c)).\nAnswer: 4100*c**2 + 132645*c + 1072845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4 - 0. Let t(g) be the second derivative of g**5\/30 + g**3\/6 - 3*g. Let x(i) be the second derivative of t(i). Determine x(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624 = -8*l - 15*l - l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 10, m: 4, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4 + 348*c**3 + 8799*c**2 + 49242*c + 77688 = 0.\nAnswer: -83, -26, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (17 + -22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000076482302 rounded to 7 decimal places?\nAnswer: 0.0000765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+47667.77\nAnswer: 47667.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(-5))*z*z)\/(z**(-3\/8)*z))**(11\/2)*(z\/(z*z\/(z*z**(-1))*z))**(-3\/14)\/(z**(-1))**(-41) assuming z is positive.\nAnswer: z**(-1233\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 319\/666825 or -1?\nAnswer: 319\/666825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5*m**4\/12 - m. Let o(i) = -i + 3. Let f(c) = -2*c + 8. Let h(j) = -3*f(j) + 8*o(j). Determine r(h(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -8*q + 23*q. Is 2\/q*-6 + (-1099)\/(-14) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -28.22. Let g = -0.21999945 - f. Round g to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39c (base 14) in base 12?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/4191*(6\/16 - (-60)\/480).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -26, -4, 10, -7, -2 in descending order.\nAnswer: 10, 7, 4, -2, -4, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -242*b - 3368. What is the remainder when 232 is divided by c(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5281 (base 16) to base 10\nAnswer: -21121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 9. Let t be (33\/(-9))\/((-1)\/(-9)). Let z = 29 + t. Sort z, 4, b.\nAnswer: z, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 80 = 2*j - 3*p, 3*j - p = 113. Suppose -2*z + 59 = -j. Suppose 3*w - 258 - z = 0. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + 7 - 7. Let h be (i*(-9)\/63)\/(0 - 1). Solve h = -3*o - 2 - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100 + 1010?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:52 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77)*-6)\/sqrt(11))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 22. Suppose 2158*y - 1523791 = 489*y - 587482. Calculate the greatest common divisor of j and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111100111101110 + -10011001?\nAnswer: 10001111100101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + -84?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1813087204\/817065 + 248\/12195. Let m = -2219 + q. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515374?\nAnswer: 2, 257687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.08 (b) -24 (c) 4 (d) 0.1 (e) -0.1 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25377 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -103.08627 * -0.7\nAnswer: 72.160389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000409 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.6. Let g = 1587 + -7861\/5. Let n = -513\/35 + g. What is the second smallest value in a, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 1368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 659 divide 174778532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*z - 4*z. Suppose -2*s = 3 - z. Let g be (-1)\/(-2)*s\/4. What is the third biggest value in g, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, 3, -2, -12 in decreasing order.\nAnswer: 3, -2, -12, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-2))\/((-3)\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 6752.\nAnswer: -2700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*(-26)\/3003*54.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8 and 67\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 130639 and -3?\nAnswer: -391917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3970\/3 in 2\/17, 3\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1736.954 - 1737. Let n = -2.5138 + 2.5598115. Let l = n + z. Round l to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12734881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13155\/22 + -597. Let y = 233 - 396. Find the common denominator of u and -2 + (y\/(-12))\/1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 30*l**3 - 13. Let i = -5511 + 5509. Let c(y) = 14 + 21*y**3 - 40 + 40*y**3. Let b(a) = i*c(a) + 5*h(a). Find the first derivative of b(u) wrt u.\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79584 and 52403577.\nAnswer: 1676914464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - n - 34, 222 - 12 = 5*p + 3*n. Suppose 1438824 = p*x - 15*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -30 + (-27 + 30 - (7 - 1))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 2. Let m be o(4). Let d(h) = 2*h + 1775 + 2*h**2 - 2*h**3 - 1778 + 0*h**3. Give d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111100111100011 + 100?\nAnswer: 10001111100111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, 48, 158, 374, 732?\n\"Answer: 6*r**3 - r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*4\/(-3) - (-524183 - 9). Round j to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b + 208 + 53 + 526 = -159 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - 11. Let a = 40 + l. Suppose y = -2*b + 4, -2*b - 4 = 5*y - a. What is the remainder when 4 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m**3 + m)*(m - 3*m + m) + (m**2 - m**2 - 2*m**3)*(-m + 2*m + m).\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15554388.713883 and 0.05.\nAnswer: -15554388.663883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 23340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Let n = 2 - -1. Let x = -99 + 99.5. Which is the smallest value? (a) f (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86\/93, -4.1, 91.\nAnswer: -4.1, -86\/93, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*k = -162*k - 5*r - 67, -k = r - 10 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 15\/2, -2.7, -0.3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 50. Suppose c - x - 49 = 0, -x - n = -c + 3*x. Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 22995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3510305782 to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 315347638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32 + 0.4. Let o = t + 0.02. What is the second smallest value in -1, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + d?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from {g: 6, f: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*w - 581*w = 5*j + 26, 12 = -j + 4*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*4\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 133 = -4*g, -94*n + 182*n = 93*n + 5 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (65\/15)\/(1\/15) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**3 - 18*o**2 - 55*o + 35. Let x(c) = -4*c**3 - 8*c**2 - 28*c + 17. Let s(r) = 3*a(r) - 5*x(r). What is the remainder when s(9) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26661453.\nAnswer: 3, 7, 13, 61, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (5 - 2)) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 107. Which is the biggest value? (a) 0.4 (b) i (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-246)\/(-5)*15\/6 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -1049289\nAnswer: -3\/349763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2261\/(-57)*(-6)\/2. Let q = -76 + s. What is the third derivative of q*j**5 - 64 - 15*j**2 + 31 + 33 wrt j?\nAnswer: 2580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11100101101101?\nAnswer: 11100101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/3 - 28432*g\/3 - 18952 = 0.\nAnswer: -14214, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39824)\/6288 + (-46)\/(-12)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 4, -3, 31, 15, 2, -13 in descending order.\nAnswer: 74, 31, 15, 4, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 12*i**4 - 3*i**2 + 9\/2*i**5 + 0*i + 21\/2*i**3 = 0. What is i?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 + y - y)*(0 + 0 + 1)*(-360*y - 465*y + 289*y) to the form f*y**2 + j*y + o*y**3 + q and give o.\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12795 or -12797?\nAnswer: -12795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (15419\/5)\/(4 + (-190)\/50) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = 3*y - 12, -3*g = 3*y. Let d = 5 + y. Let c = 11 - 7. Solve -f + 4 = d, -4*t = -0*f + c*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -136*g**2 + 651*g + 999. What is f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 7*u**2 - 3*u + 1. Let f = 9 + -3. Calculate p(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.5, 0.4, -0.2, -0.02, -314, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1435 and 1025?\nAnswer: 7175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 275036*j**2 - 275032*j.\nAnswer: -4*j*(j + 1)*(j + 68758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53307.\nAnswer: 3, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -3*h + 4*m, -5*m = 3*h - 7*h + 621. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1100*u + 7696. Give c(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -5*p + 2*r, -3*r + r + 140 = 4*p. Suppose 2*s = 2*b + 14, -5*s + 4*b + p = 2. Solve 0 = 3*i - 0*i + s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 55.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let d(x) = 20*x + 10. Let k(w) = -d(w) + 5*f(w). Differentiate k(l) wrt l.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*((-2394)\/154)\/(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157286, -314572, -471858, -629144, -786430, -943716?\nAnswer: -1101002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 - 2*h**4 + 5*h**2)*(4 + 2 + 0)*(-5*h - 7 + 7).\nAnswer: 60*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2 = z - 0, -57*z + 62*z = 5*s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66447 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*p + 8 = 68, -3*p = 0. Does -12 = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 + 379.467. Let u = -0.437 + z. Which is greater: u or -28?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, 6\/17, -23, 0.3?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - sqrt(90)*-1 - sqrt(90))\/sqrt(9))\/(1*(sqrt(2) + (sqrt(2) - 3*sqrt(2)))) - (-1 + (sqrt(490)*2)\/(sqrt(18)\/(-2*sqrt(9)))).\nAnswer: 1 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -35 + 4*x**2 + 6*x**2 + 20*x**3 + 34 - 6*x**3 - 6*x**2. Let y(g) = -g**3 - g**2 + 1. What is d(u) + y(u)?\nAnswer: 13*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i + 75*i + 71*i - 9*i as d + u*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) 1978\/9 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(1*sqrt(2057)*-2 + -3 - (1*sqrt(2057) + -2 - (0 + (sqrt(2057) - (sqrt(2057) + 0 + sqrt(2057))))))*1)**2.\nAnswer: 7128*sqrt(17) + 2665953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29\/(-7) - (-4 - 0). Let x = 6.7 - -3.3. Let v = -5 + x. What is the closest to p in v, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 divided by -5?\nAnswer: -864\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -21*d**2 - 11*d + 80. Let s be q(-15). What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-44) - -19*14\/(-11). Let d = x - -14. Let y(m) = -2*m**2 - 2*m. Let q(k) = k**3 + 5*k**2 + 5*k. Give d*y(g) - 4*q(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (53 - (-25 - -86)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 115 - 30 + 9 + 140 + 0*c.\nAnswer: c + 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011 - 110?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -3*j + 12*g - 3, -g + 10 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:14 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0 - 2\/3*o**3 + 0*o**2 + o. Let k(n) be the first derivative of -n**2\/2 + 34. Determine i(k(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113\/471 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.818 - 0.118. Let p = d + -5. What is the biggest value in p, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -57.8. Put 2, 1, o, 0.06 in ascending order.\nAnswer: o, 0.06, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 94\/6 + 15\/45. Let j(l) = -2 + 30*l - 5 + 0 - 15*l - i*l. What is j(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169718567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 4*f + 2*f - 2, 0 = -4*o + 8*f + 92 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-84) + (-2 - (-7)\/3)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*b - 28*i = -607*b - 60, 0 = 5*b - 4*b + 3*b + 3*i - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 369? (a) 4 (b) 20 (c) -0.1 (d) 0.22 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d - 4. Let y(v) = 23*v + 9. Calculate -13*r(s) - 6*y(s).\nAnswer: 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n)\/n*n*n**2\/n*n*(n**4)**35 assuming n is positive.\nAnswer: n**(714\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -381279 and -684?\nAnswer: 260794836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3144880?\nAnswer: 2, 5, 19, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 353*y + 27. Let m(u) = -u - 5. Give -a(d) - 6*m(d).\nAnswer: -347*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Suppose 5*l - s + 3 = 0, -1 = 2*s - 7. Calculate the smallest common multiple of v and 7 + -1 + (1 - (-1 - l)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Let w be (0 - 1) + f*5. Suppose -5*i - 5*v - 15 = -95, -2*i + w*v + 20 = 0. Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -655703 - -465703. What is a rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -45\/1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c. Let p(h) = h - 38. Give n(p(b)).\nAnswer: 11*b - 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/4*(-17 + 13). Sort b, 5, -28 in increasing order.\nAnswer: -28, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*t - 8, 2*a - t - 11 = -3. Suppose 11 = -a*w + 4*i - 1, 5*i = w + 15. Suppose 7*b - 3*b - 8 = w. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 980744?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*t + 10, -4*t = 5*x - 14 - 6. Which is bigger: -1\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3829302, -3829262, -3829222?\nAnswer: -3829182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2 - (3 + 0\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 27 - 24 = -3*j, -4*k - j + 16 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 11 + -16 + (-3 - (4 + -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = -4*s - 33, -26 = -2*z - 2*s. Solve 2*f = 3*a - 1, 3*f + a + z = -1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g + 6. Let f be (-1)\/g*2 + 3. Let l be 1 - ((-212)\/f + -2). What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 54*j - 480 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - 9*z + 4. Let p(q) = -q**2 + 2*q - 1. Let k(s) = 9*p(s) + 2*y(s). Suppose 2*t = 5*t + 9*t. Give k(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002644 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -3. Suppose -4*k + 3*z + 453 = 0, s*k - 43 = 5*z + 517. Suppose 5*v - 5*i - 330 = 0, v + v + i = k. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -18 - 2. Calculate the highest common divisor of w and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -41. What is the remainder when 6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -30. Suppose x*z + 0*z = 6*z. Let y(n) = 25*n + z + 0 - 23*n. Let p(w) = -6*w - 2. Calculate y(p(l)).\nAnswer: -12*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from geggkey?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -41. Suppose n = -w + 21. What is the common denominator of 7 and (w*(-2)\/8)\/(18\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71561*y**4 - y**3 + 6638553?\nAnswer: 286244*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 - 10*y**2 + 2*y - 8. Let i(k) = -k**3 - 5*k**2 + k - 4. Let g(w) = -5*i(w) + 2*v(w). What is g(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 870\/(-100) - -7 - (-3)\/15.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(((-168)\/(-32))\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6249069 minus -1?\nAnswer: 1.6249069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 16149 = 2*p, 30*p - 26*p + 6450 = 2*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(14\/11)*x*x**(-4\/19)*(x\/((x*(x\/x**(2\/15))\/x)\/x))**45 assuming x is positive.\nAnswer: x**(10767\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 - 10) - 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a year in months?\nAnswer: 177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381999789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/18 - 70*s**3\/27 + 77*s**2\/9 + 74*s\/3 + 507. Factor g(a).\nAnswer: -2*(a - 3)*(a + 1)*(a + 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 6:59 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -1432, -3364, -6056, -9502?\nAnswer: -13696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = -4*x, 840 = 4*o - 2*x + 844 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 184\/(-60))\/((-3)\/18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-2)\/4)*-1. What is the closest to 1\/2 in -4, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -549*z**5 - 2687*z wrt z?\nAnswer: -10980*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30391 + 50839 = -183*h + 27585 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 121?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2792149.2 - -0.056.\nAnswer: -2792149.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(66)*2)\/(-1*sqrt(216) - sqrt(216)) - (-6*sqrt(88)*-2)\/((sqrt(8) + sqrt(32))*1)) + 0.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2 - 8. Let m be (210\/(-12))\/(u\/20). Let v = m + -95. What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g - 22*g**2 + 16*g**2 + 44*g - 82*g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2856 = -3*z, -265*z - 4269 = -3*r - 268*z. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4235877615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*i + 49 - 17, -5*m + 40 = -i. Let l be (126\/12)\/(3\/56). Let h be 24\/60 - l\/(-10). Solve 0 = -4*r - 3*t - m, h = -4*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*2 - 150\/42.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 0 - (21 + 126 + -107)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.236747 days in nanoseconds?\nAnswer: 711654940800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771785?\nAnswer: 5, 7, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(1 - 2 + 0)*(103 - 38*m - 103)*(-29 - 101 - 205) - m + 0 + 0 + (-2 + 4 - 4)*(-2 + 2 + 2*m) in the form c + x*m and give x.\nAnswer: -25465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from ggzggkzzgggggggqzkz?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 8 = -14*l. Suppose -b + 8112 = l*a + 3*a, b = 2*a - 3249. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 123. Suppose 0*o = -3*o + p. Let j be (o\/(-14))\/((-2)\/4). Put j, -7, -5 in ascending order.\nAnswer: -7, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95.74 + 95.74. Which is the nearest to y? (a) -5\/2 (b) 2\/3 (c) -3\/2 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.27 + 13.83. Let y = c + -7.6. Round y to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -55. Sort 3, i, -0.06.\nAnswer: i, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 161*t + 168. Let p(a) = 20*a + 21. Let v(z) = 6*n(z) - 49*p(z). Let q be v(-4). Calculate the greatest common divisor of 28 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 400. Let m(q) = 13*q + 1700. Let b(z) = 17*l(z) + 4*m(z). Let g(v) = 0*v + 0*v + 27*v**2. Give g(b(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(272) - sqrt(272)*2) + 4 + -4 + (-5*(sqrt(272) + 0))**2 + (-1 + sqrt(272) + -5)**2.\nAnswer: -52*sqrt(17) + 7104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -37 (b) -389 (c) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -480 + 564. Calculate the remainder when 752 is divided by r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 l when three letters picked without replacement from {j: 1, l: 2, f: 1, y: 4, h: 1, v: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjzk when four letters picked without replacement from {w: 4, y: 2, k: 4, j: 1, z: 3, b: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 528?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164 - 1 - (-13)\/((-78)\/(-12)).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.28321 and -2?\nAnswer: 18.56642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 325.953t?\nAnswer: 325953000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -224390 less than -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1624567879 + d - 1624567879.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741142719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*t**2 - t - 130 - 13*t**2 + 130 - 6*t**3 to the form g*t + m*t**2 + a*t**3 + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 92, 656, 0.1, -15?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19702 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4463*i + 54. Let l(r) = 1325512*r + 16056. Calculate 3*l(h) - 892*m(h).\nAnswer: -4460*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 290*d**2 + 3*d**3 + 288*d**2 + 135 - 4*d**3 to r*d + z*d**3 + i*d**2 + o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 5*g + 5. Let m be r(0). Suppose n = -2*b + 182 + 13, 4*n + 468 = m*b. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**1)\/u**0)\/(u*u\/(u\/(u*u**3))*u*u**(4\/11)))**(3\/29) assuming u is positive.\nAnswer: u**(-210\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-7243092\nAnswer: 724309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + h**2 + 0*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 16) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 122, 8, -601 in decreasing order.\nAnswer: 122, 8, -14, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111213.002 rounded to the nearest 10?\nAnswer: 111210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14709, -15316, -15923, -16530, -17137?\n\"Answer: -607*b - 14102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = w + 20838 - 72438, -103158 = -2*w + 2*c. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by 186.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/180*8*(-6)\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -25*u - 104. Let f be g(-4). Let p(t) = t**2 - 9*t - 6. Let q(l) = -3*l**2 + 19*l + 12. Let o(y) = -5*p(y) - 2*q(y). Calculate o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - ((-2 - 2) + 2). Suppose -a - 2 = -0, 0 = -3*u - b*a + 265. Suppose -2*t = -2*k + 182, 7*t - 2*t = -k + u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343.8 - -344. Which is the fourth smallest value? (a) t (b) -3 (c) 0.4 (d) 1.5 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 14 + -12 - (-3 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 1. Let b(q) = 4*q**2 + q - 3. Let o(j) = -j - 2. Let k be o(-5). What is k*c(n) + b(n)?\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 8*m**2 + 2*m. Let l be a(0). Solve l = 56*b - 90*b + 136 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = n - 0 - 14, -5*x - 16 = n. Suppose -n = -2*q - 1. Solve -2*g - 13 = -5*b, -q*g = -b - b + 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = l - 1198, -4*l = -3*c - 3*l + 722. Suppose -c = -4*t + 4*w, 3*w - 12 = -w. What is the remainder when t is divided by -1*10*(-32)\/20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6555263 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Suppose d - 3*y - 4 = 0, 4*y - v*y = -2*d. What is the remainder when 19 is divided by d*((-20)\/1)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 + 3020*g**4 + 1146072*g**3 + 4545108*g**2 + 3402054*g = 0 for g.\nAnswer: -753, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/10*16\/(-30))\/((11356\/1530)\/167)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66.31 + 65. Let h = 92.69 - j. Let a = -95.3 + h. Round a to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39001091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*i + 24, 0 = 2*i - 2*v - 2*v - 20. What is the lowest common multiple of 162 and i?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/24 - l**3\/3 + l**2. Let v be d(2). Solve 5*y - 6*y + 3 = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110440 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.322 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1206, 1198, 1190, 1182, 1174, 1166?\n\"Answer: -8*p + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1273 + -1262. Solve -6*q = 5 - f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u. Let t = 4 + u. Suppose 4*o = 2*s + 732, -5*o - 2*s = -t*s - 917. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.1 + 50. What is the closest to -2\/3 in 3, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 2*m - 2. Let z(o) = 13*o**2 + 9*o - 9. Let x(u) = -18*n(u) + 4*z(u). Let g(h) = 3*h**2. Give g(x(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1065 * 0.921\nAnswer: 980.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 11) to base 6\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.55 - -35.45. What is the fourth biggest value in -0.4, 7, k, -1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4009 - -4015. Let t(f) be the third derivative of -10*f**2 + 0*f**z + 0*f**5 + 0*f**4 - 8\/3*f**3 + 0 + 1\/30*f**7 + 0*f. Differentiate t(s) wrt s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = 111. Suppose 93 = 3*c - 3*s, 3*s = 4*c - 0*s - a. Find the first derivative of c*i - 8 - 11 + 12 wrt i.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 49 + 41 = -5*j, -3*j + 74 = 5*z. Solve 0*c = -4*c + z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 807*f**3\/5 + 108126*f**2\/5 + 724203*f - 53868\/5.\nAnswer: 3*(f + 67)**2*(269*f - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700) + (sqrt(2700) - (sqrt(2700)*-1 + sqrt(2700))) + sqrt(2700) + sqrt(2700))*-4)\/(((sqrt(360)*2)\/sqrt(10))\/sqrt(4)).\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -99*v**2 + v - 1. Give l(1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 151380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(209)*2)\/(sqrt(11)*2*6).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 3*h**2 - 4*h + 6. What is the remainder when 15 is divided by f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 28*m**2 + 823*m**2 + 4*m - 4*m in the form j*m**2 + h + b*m and give j.\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 67189888?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010001010000100 (base 2) to base 10.\nAnswer: -107140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*r + 119*r = 3. Suppose -2*d - 2*d + 18 = 5*i, r*i - 2 = 2*d. Suppose 2*b - l + 0*l - 35 = 0, 0 = -d*l + 2. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-9)\/(-1))*(-14)\/(-5). Calculate the greatest common factor of 742 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from jnjnncjjcnanjjaja.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 21 + 15 + 396*g**2.\nAnswer: 396*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from lkrex.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-10 - -2) + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170409 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*m + 16. Suppose -o = -4*o + m. Suppose -2*h - 3 = -o, 4*l - 4*h = 224. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/22689 and 2\/12605.\nAnswer: 113445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 46, 58, 68, 82, 106?\n\"Answer: t**3 - 10*t**2 + 43*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204795179.\nAnswer: 204795179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6920635 centuries in months?\nAnswer: 830.4762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -4 (c) 2\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*o - 79 = 0, 0*y = 3*y - 2*o - 135. Calculate the remainder when y is divided by 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/6 + 35*a\/6 - 100.\nAnswer: 5*(a - 8)*(a + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 8298632*s\/9 - 8608411633928\/9.\nAnswer: -2*(s + 2074658)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112781832 a multiple of 2859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, -0.38, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqe when three letters picked without replacement from jejjjjeeujqejjj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2779, 2776, 2771, 2764, 2755?\nAnswer: 2744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3084, 3052, 3022, 3006, 3016?\nAnswer: 3064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8312 + -0.1688. Which is the nearest to -0.2? (a) -4 (b) -2 (c) 2\/13 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210587.35051 + 23.24949. Let w = 210607.599997 - d. Let p = 3 + w. What is p rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.2 (b) 5 (c) -21 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4206516?\nAnswer: 2, 3, 23, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -445872*h*v**2 - 734948*h*v wrt v?\nAnswer: -891744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231023 (base 5) to base 9.\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -39, -1.\nAnswer: -39, -2, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791949 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - -2) + (27 - (-27 - (-8 - 33))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 144 - 1952 = 37*t. Is -225\/2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.43 - -0.57. What is the closest to -2\/15 in m, 0, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 4*z**2 - 2*z - 3. Let i be a(-2). Suppose 5*t - i*t = 0. Solve -2*j = -8 - t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52, -97, -134, -157, -160, -137, -82?\n\"Answer: k**3 - 2*k**2 - 46*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 34*c + 36. Let l be s(16). Suppose -p - a - 3127 = -l*p, -5*a + 4182 = 4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/22578017 or 1?\nAnswer: -2\/22578017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2 + -1 + (-16)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = 5*b - 84 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 13 - 4 + 12 - 4*z - 20 + 0*z.\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 26. Let d be 2 + -9 + 3\/(-1). Let q = d + y. Solve q + 18 = 3*w + 5*i, -3*i = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aa + 12641?\nAnswer: 12597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32256\/25 + -12868319\/9975. Find the common denominator of f and -52\/9.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248*j**2 - 57 wrt j?\nAnswer: -496*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and 722516275571.\nAnswer: 722516275533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 32. Let h be y(-17). Let x(t) = -t**2 - t. Let m(z) = -3 + 2 - z + 5 - 5. Give h*x(a) - 2*m(a).\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 736217 - 3681083\/5. Factor -2\/15*n**4 + 16\/15*n + 4\/5*n**2 + f + 0*n**3.\nAnswer: -2*(n - 3)*(n + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865474 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: Solve -303*k + 201*k = -204 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, -0.4, -2, 3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8645 and 3094.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*p + 96*p + 2*g - 7 = 0, 2*g = 5*p + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -35682*u**2 + 356820*u - 1. Give c(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6451 + 20774 - 7164 - 7159 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/5))**(-25)\/(y**(-1\/13)\/y*y)**(-42))**(-48) assuming y is positive.\nAnswer: y**(-10464\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 13*q**4\/4 - q**3\/3 + q + 26. Determine c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15*(0 - 0 - -1). Let b = -3 - 3. Let h be (10\/b)\/(1\/(-3)). What is the highest common factor of n and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six fifths of a day?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 38. Let i = z - -5. Let w be 15\/((-945)\/364) + 6. What is the third smallest value in 2\/35, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1343*x**2 - 2078*x + 19488663 wrt x?\nAnswer: -2686*x - 2078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 870?\nAnswer: -1\/870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 132*k + 247. Let x be d(-42). What is the closest to 2\/5 in -13, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8955990 * -11.4.\nAnswer: -102098286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 3*j. Let h be i(-5). Suppose -o + h = 4*o. Suppose -3*s = x - 0*x - o, -s + 5*x = 8. Solve s*g = -6*d + 4*d + 10, -d = -2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*f - 83*f - 349*f to the form s + z*f and give z.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3367.3 + 3367. Which is the closest to -4? (a) x (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/2 - 5*z**3\/3 - 7*z**2\/2 - 4*z - 12. Let k(t) = -2*t**3 + 4*t**2 + 6*t + 3. What is 5*k(w) + 4*m(w)?\nAnswer: -2*w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -10. Let y = 1 + s. Let x = -12 - y. What is the third smallest value in x, -0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 3:53 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 1. What is the units digit of (11\/n + 4)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*(126\/15 + -8)*48\/(-32)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -3 (c) -11453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514422 by -171474.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3 + 2) + 184546\/222706 - 56\/(-308).\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.25, 0.4, -0.2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 546, 879, 1270, 1737, 2298?\nAnswer: 2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157377 and 25609530.\nAnswer: 281704830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/171 (b) 0.62 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 33772?\nAnswer: 3377a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -232073, -232062, -232051, -232040?\n\"Answer: 11*z - 232084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144971537 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/720 and -35\/576?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 6*b - 1. Let t be u(5). Suppose 0 = -t*p - 16, 2*p + p = 4*w - 40. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2) - (43 - 40)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 15 + 53 - 13 + 196*f in the form h*f + l and give h.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -6. Find the common denominator of 6\/t*177\/(-36) and 61\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11809 - -3466. What are the prime factors of n?\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 544170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3259*j**2 + j + 18*j**3 + 3259*j**2 + 44 as g*j + p + r*j**3 + k*j**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8628436399 to the power of 1\/3, to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 233183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 48*g + 193. Let k be n(49). Which is smaller: k or 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*l**4 - 303 + 4*l**4 - 24*l**4)*(0*l - l - 2*l).\nAnswer: 9*l**5 + 909*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(3\/8). Let h = z + -1. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 - 10*m**2 - 11821*m**4 + 23637*m**4 - 11815*m**4 to u*m + v*m**3 + k*m**2 + h + n*m**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x. Let l be -20*(-2 + 4 + 60\/(-25)). Suppose 0 = 3*s + s - l. Let j(m) = 33 + s*m**2 - 7*m**2 - 33. Calculate j(q(g)).\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/50 + (-160)\/(-50). Let m(v) = -16*v**2 + 7*v. Determine m(l).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a - 4*a - 34*a**3 + 14*a**3 + 23*a**3 - 14 - 9*a**2 + 7*a**2 to u + w*a**3 + r*a**2 + f*a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61591*q + 61594*q - 21 = -2*b, 2*q = 3*b + 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -148\/1235?\nAnswer: -148\/1235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 - 8*w - 1. Let u be d(-8). Let b = u - -2. Let v(h) = -h**3 - 8*h**2 + 10*h + 12. Let c be v(-9). Solve c*i - b = 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 - 2*b + 2*b)*(4 - 3 - 2 + (-3 - 4 + 5)*(0 - 1 + 2) + 0 + 0 - 1 - 1 - 4 + 3 + (3 - 5 + 1)*(-3 + 1 + 3) + 2 - 2 - 3 + 2 + 1 - 2 + 4 + 0 + 1).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*-1.017.\nAnswer: -107.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 = 11*s + 2*m, -198*s + 244 = -190*s + 5*m for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -213 + 26. Which is smaller: d or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000621 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94.1 + -105. Let p = 11 + v. Let k = -0.37 + 0.07. Which is the second smallest value? (a) 1 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36327 - 15058. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 2*h - 36 = 0. What is the remainder when -8 + 264\/32 + 230\/8 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1254.6 - 1255. Sort -0.01, d, -1.1 in ascending order.\nAnswer: -1.1, d, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.07 - -11. Let d = o + -0.13. What is the closest to 1 in -4, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) + -3 + sqrt(1900))**2*-6) + -4 + sqrt(171) + (sqrt(38)\/sqrt(2)*-5)**2.\nAnswer: -707*sqrt(19) + 46125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 - 4*r. Let s be (-4)\/(-6) + 10\/3. Let a(h) = h**2 + h. What is s*a(v) + c(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -13. Calculate the common denominator of 8\/9 and 388\/(-16) - (-2 + j).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.87 + 4. Let i = -0.07 - o. Are i and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*18\/120\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 9. Let q be d(0). Suppose 5*p - q = 2*p. Find w, given that -p*w**4 + 2*w**4 + 3*w**2 - 25*w + 0 - 2 + w**3 + 24*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1240\/(-90) + 2\/(-9). Let v be 4\/o - 110\/7. Let d be (v\/(-3))\/(6\/27). Calculate the greatest common divisor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5441 - -5443. What is the fourth biggest value in -10, -3, x, -1\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 - 7\/(-2). Suppose -g*f - 4*x - 13 = -9*x, -5*x = 15. Is 1\/(2\/(-10))*f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263112635.\nAnswer: 5, 52622527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 393869 - 4\nAnswer: 393865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 26934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2 + 4 - 14 + 130*h + 5 - 140*h. Let b(q) be the second derivative of -q**3\/2 - q**2 + q. What is 7*b(o) - 2*p(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnrn when four letters picked without replacement from wwwnbrrbnnrnb?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, -0.5, -0.048 in descending order.\nAnswer: 0, -0.048, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -50*c**2 + 35*c + 35. Let b(d) = -3*d**2 + 2*d + 2. Let g(v) = -v**2 - 13*v - 5. Let a be g(-15). Calculate a*b(w) + 2*f(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + (-2 - -1 - (2 - 8)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7957 - -8132. Calculate the smallest common multiple of 31 and y.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + k - 2*k + 1 - 1 - k + (3 + 3*k - 3)*(4 - 33 - 87))*(0 + 0 - 1)*(-6 - 2 + 2) in the form s + p*k and give p.\nAnswer: -2082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*((-l - 11 + 11)*(l + 3*l - 3*l) - l**2 + 6*l**2 + l**2).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3255190505 and 6790?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/11*(-3)\/(-4)*13\/(325\/30).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*w**2 - 533*w**2 - 231*w**2.\nAnswer: -913*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grxohrk. Give prob of sequence xk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*k + 50599975, 116915483 = -3*t + 5*k + 41015458. What is t rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2 + 191\/1. Let p = b - 947\/5. Is p equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**7\/630 - s**6\/720 - s**4\/24 - 2*s**2. Let n(a) be the second derivative of w(a). What is the units digit of n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206424 (base 8) to base 11\nAnswer: 47832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126000 divided by 240?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjit when four letters picked without replacement from {t: 2, i: 7, j: 7}.\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 100. Let m = l + 73. Does 41 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y - 7. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-1 - 6)) + -7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 13 - 19. Let m = -8 + h. Find c such that 2\/9*c + m - 2\/9*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 10, 2*i + 2*z = 18 + 30. Suppose -2*t - 16 = -3*v, -5*t - 16 - i = -5*v. Which is greater: 0.44 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*a + 294*a + 12 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -264 * 36966.\nAnswer: -9759024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 546, 1096, 1648, 2202, 2758?\n\"Answer: y**2 + 547*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9014467.\nAnswer: 7, 11, 117071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z - 37. Let v(f) = 2*f + 24. Let j(x) = -5*t(x) - 8*v(x). Let l be j(7). Is (-20)\/(-70) - 178\/l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -27. Let v be -1 - -2 - (-2)\/(-6)*j. Let l(n) = -22*n**v - 27*n**2 + 35*n**2. Let w(k) = -2*k**2. Determine l(w(f)).\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -40, -4\/5, 7 in descending order.\nAnswer: 7, -4\/5, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2540, -2557, -2572, -2585, -2596?\n\"Answer: f**2 - 20*f - 2521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 316, -2, -5 in increasing order.\nAnswer: -5, -2, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4*c - 104 + 38 + 48, 6*v = 2*c - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*d - 12, 73*d + 3*h + 9 = 77*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -29 in descending order.\nAnswer: 7, 5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315381834.\nAnswer: 2, 3, 61, 287233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/49)\/((-14)\/(3234\/143))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:21 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26496 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 14*b**2 - 11*b + 11. Let v(x) = 29*x**2 - 23*x + 23. Let p(r) = 13*q(r) - 6*v(r). Let c be (1\/((-18)\/48))\/(2\/(-3)). Is p(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 - 247.9. Let o = 132.982 - 133. Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 740 and 814.\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*u**2 - 14 - 15 - 49*u + 5*u**3 + 43*u**2 + 27 in the form j*u**3 + s + y*u + c*u**2 and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of ((-1)\/2*-21)\/((-257)\/(-12336))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -11*s + 4*m - 16, 5*m + 5 = 0. Let v(b) = -b**2 - 135*b - 124. Let d(x) = 132*x + 124. Let a(h) = s*v(h) - 5*d(h). Let a(u) = 0. What is u?\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -22*i**4 + 18*i**3 + 2*i**2 + 16*i + 14. Let m(l) = -l**4 + l**2 + l + 1. Let h(z) = 28*m(z) - 2*o(z). Factor h(k).\nAnswer: 4*k*(k - 1)**2*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14653039.85 to the nearest one thousand.\nAnswer: 14653000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-747)\/(-23)*(-771)\/(-6939) - 19 - (-17 + 2).\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + 106. Let f = h + -142. Which is the nearest to 0? (a) -0.4 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/3720 and -127\/528.\nAnswer: 81840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - 3.7. Let d be (36\/21 - 3) + 1. What is the nearest to d in 3, t, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 34 + 4. Suppose p - 6 = -2*q + 6*p, 2*q + p + 6 = 0. Let h be (1 - 1)\/(0 + q). Solve h = m*i + 13 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 33\/(-9))*225\/40*246\/(-123)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*l - 249. Let k be 2\/(-7) + l\/7. Suppose -r + 3*r - k = 0. Solve -4*d + d - 2*p = 8, 4*d = -2*p - r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14990 + 11944 = -1397*n + 24894 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1672 = 323*a - 4256. Solve 16*v + a*v + 144 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 + 0.27. Suppose 4*s = 5*s + 2, 372 = -4*z - 2*s. Let i = -277\/3 - z. Put i, -2\/9, x in descending order.\nAnswer: x, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/203)\/(((-3)\/(-9))\/((-98)\/(-6)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:38 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-3) - 436) + -7. Let k = g + 448. Solve -k*c + 7 = -5*o + 2, 0 = -5*c - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let s(j) be the third derivative of j**4\/24 + 2*j**2. Determine p(s(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5229 - 5224. Solve -28 = -4*u + 5*x - 24, -20 = n*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 4, h: 3, z: 2, u: 7}. Give prob of picking 1 u and 1 y.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (237*m - 663 + 663)*(-6*m + 0*m - 1 - 3*m)*(-2 - 1 + 1).\nAnswer: 4266*m**2 + 474*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p + 175. Let k = -355 + 410. Let j = p + k. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4321*j**2 - 21600*j + 16. Calculate o(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhyhhhhyhdyddhhdhh. Give prob of sequence yyy.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -333234 - -12063?\nAnswer: -321141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11514 (base 8) to base 9.\nAnswer: -6688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 10 = 190 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, -577.7.\nAnswer: -577.7, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6602648 + 2594648. Round y to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - -23. Suppose m = l + 3*l. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -31 - (12 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 45 = 5*g, 39 = 3*g - 4*p + 4. Let k be (-34)\/(-52) - 4\/8. Let w = -70 - -81. Which is the nearest to w? (a) k (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 6*a - 40, -d + 3*a + 229 - 233 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.600396 tonnes to milligrams.\nAnswer: 2600396000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2256, 2379, 2584, 2871, 3240, 3691?\n\"Answer: 41*n**2 + 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:51 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 + -9 - 0) + -1 + 26\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13928 + 27855\/2. Let p be -117 + (-1 - 0\/(-1)). What is the nearest to p in v, -5\/4, 2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 2. Let c be w(-1). Suppose c = 7*f - 0*f - 4746. Let x = f + -175. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 21\/4, 19\/5, 1.3, -2 in increasing order.\nAnswer: -2, -2\/3, 1.3, 19\/5, 21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-66))\/(6\/24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7747904403678498.3999261 + 7747904849718225. Let b = p - 446039052.6. Let v = b - 674. Round v to 6 decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432834.2cm to millimeters.\nAnswer: 4328342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/1320 - 8\/(-60)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 + 157 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3212 + 1594 = 3*j. What are the prime factors of (-5)\/(10\/(-4))*j\/12?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 442 - 442. Suppose u = -2*x - 4 - 4, 4*x = 5*t - 1241. Calculate the highest common divisor of 70 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hbbbbhhbbhhh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.5394 rounded to one dp?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.3. What is the closest to g in -1\/6, -3\/5, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 9 = -8*k + 33*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(1\/2)))\/(g\/(g*g**4)))**(-16)*(g**3*g*g)\/(g**(-5\/3)*g)*(g\/g**1)**(2\/7) assuming g is positive.\nAnswer: g**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(7\/2))\/(h\/h**(-1\/30)))\/((h*h*h\/(h**(2\/7)\/h*h))\/h*h**(-3\/26)) assuming h is positive.\nAnswer: h**(5099\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-12)*6*4\/(-48).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 10*v**2. Let o be k(10). Suppose -9 = -o*r - r. Calculate the smallest common multiple of 8 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 14*j + 6. Suppose -j*r + 66 - 4 = -g, -5*r = 4*g - 75. Suppose 6*k = 55 + 125. What is the remainder when k is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - n + 2*n + 2*n - n + 2*n + 3*n - n + (0 - 3 + 2)*(-4*n + n + 5*n) + 2*n - n - 3*n to c*n + g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 153 = -4*h, 4*h - 120 - 35 = -y. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -846 less than -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1362760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 24.44796km?\nAnswer: 24447.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -2. Let c = m + 21. What is the remainder when 42 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, 1 k, and 1 h when four letters picked without replacement from qqrxhkxf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/9)*t)\/(t*t*t**(2\/9)))\/(t**(-1\/4))**(-3\/2)*(t**(-1\/3)\/(t**(5\/3)*t))**(3\/20) assuming t is positive.\nAnswer: t**(-33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffjfjiijjjjfffjjjzf. What is prob of sequence jjii?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10416.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18*d + 307. What is the units digit of x(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1685 - 697. Let f = -299 + b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 552, 1940, 4254, 7494, 11660, 16752, 22770?\n\"Answer: 463*x**2 - x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 253 = -6. Suppose 4*m = -w - 496, w - a + 5 = 2*m. Let x = m + 219. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 118 in 0.5, 5, 92\/11?\nAnswer: 92\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-3\/2)*(x*x*x**9*x*x*x*x*x)\/(x\/x**(1\/2)*x) assuming x is positive.\nAnswer: x**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - f + 8 + 9*f as m*f + b and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 3.3. Let l = x + 1.5. Let b = l + 1.277. Round b to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 15 - 21*s**2 + 19*s**2 - 3*s to the form x*s + h + q*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 + (-16)\/(-12). Let x be 14\/(-119) - (-696)\/136. Suppose -f + 5 = 0, 0 = 4*a - 5*f + 13 + 32. Put d, a, x in descending order.\nAnswer: x, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10490 times 5\nAnswer: 52450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 - 22341*h - 1 - 13*h**2 - 1 + 22343*h - 2*h**4 as c*h**3 + w*h**4 + i*h + f + t*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(11) + sqrt(11)*5 + sqrt(11)) - (sqrt(539) + sqrt(539) + 3 + sqrt(539))) + (sqrt(33)*-2*-5)\/(sqrt(363) - sqrt(363)*2)).\nAnswer: 9 + 1416*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 37*l - 275. Calculate the remainder when h(7) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 58.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-35)*t*t**(-15) assuming t is positive.\nAnswer: t**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4013*a**3 + 6892*a**2.\nAnswer: -24078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let y be s\/1 + (3 - 3). What is the first derivative of 1 + 4 - i - y wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 384*i**2 - 5616*i.\nAnswer: -4*i*(i + 18)*(i + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330811 (base 12) to base 2.\nAnswer: -11000101101110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 456 and 193128.\nAnswer: 3669432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 10043?\nAnswer: 10035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*s - 18532, 2*q - s - 12867 + 3607 = 0. Suppose 7*m - 283 - q = 0. Is m a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*g + 0 = 2*d - 27, -107*g = -3*d - 192*g + 267 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + -3*sqrt(68))**2*1.\nAnswer: -36*sqrt(17) + 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/160 and -137\/36.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43230.93ns?\nAnswer: 0.00004323093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 595 = 595. Suppose r = -56*f - 54 - 170. Suppose 11 = 5*i + 1. Sort f, 4, i, -2.\nAnswer: f, -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 + -225. Let k(m) = -116*m - 41. What is the tens digit of k(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*n**4 + 22643*n**2 - 2*n - 6754 wrt n.\nAnswer: 216*n**2 + 45286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o - 19*o + 4*o - 3*o + o + 3*o + (1 + 0 - 2)*(3*o - 4*o + 0*o) + 5*o - o - 2*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6500944?\nAnswer: 2, 406309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 1 - 7*n - 3*n.\nAnswer: -6*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637445861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 9.95. Let t = b - -5. Sort -2\/3, t, 1\/3.\nAnswer: t, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2))**2 + -1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36405 - 36312. Calculate the remainder when 937 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97 - 1?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 9*l**2 + 21*l + 12. Let h(b) = -6*b**3 + 46*b**2 + 111*b + 59. Let u(i) = 2*h(i) - 11*s(i). Determine u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -10269480 divided by -13.\nAnswer: 789960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*i + 3*i. Let x(d) = d**i + 15*d - d**2 - 6 + d**2 + 0*d**2. Does 7 divide x(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 - 3*t + 3*t)*(-3 + 4 - 2) - 4*t**5 + t**5 + t**5 + 22*t**5 - 6*t**5 + 44*t**5 + (-10*t + 3*t**4 + 10*t)*(3*t - 3*t + 2*t).\nAnswer: 63*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(4500) + (-3*4*sqrt(4500) - sqrt(4500)) - sqrt(4500)))\/((5*sqrt(45) - sqrt(45))\/sqrt(5) - sqrt(99)\/(sqrt(11) - (sqrt(1100) - sqrt(11)))).\nAnswer: 2080*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/3314 + 62935\/102734. Is 0 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4152 and 16064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 - 88*f**2 - 92*f = 0. What is f?\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose 15 = p*d + 3. What is the lowest common multiple of 10 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.63890769 + -0.02890734. Let p = 0.61 - r. Round p to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6811459 by -35.\nAnswer: 6811459\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 + (-5)\/(45\/(-981)). What is the derivative of 54 - 51 - h*v**2 + 38 wrt v?\nAnswer: -224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v + 14. Let c = v - 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12*g + 157 - 160 + 4*g - 11*g - g**2. Calculate c(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-35)\/(-2))*5. Suppose 0 = -3*a + 4*s + 17, 11*s + 2 = 3*a + 10*s. Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -6\/7 (b) 0.3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 149 = -3*f, -r + 275 = 5*f + r. Let b(a) = -8 + 1 + 1 + 3*a. What is the remainder when f is divided by b(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 n, and 1 i when four letters picked without replacement from {n: 1, i: 1, k: 2, c: 6, p: 7}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1533 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/5))\/j*j\/j**0)**(-9\/10) assuming j is positive.\nAnswer: j**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Suppose 5*u = y*q, -u - q + 5 = 1. What is the second derivative of a**3 - 4*a + u*a**3 + a - a wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29 - -0.09. What is the biggest value in -1, 2\/9, s, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -538 - -2692\/5. Sort u, 2\/13, 0.12 in ascending order.\nAnswer: 0.12, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31014? (a) 1\/4 (b) 43 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/92736759 and -77\/92.\nAnswer: 370947036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2206, -2208, -2210?\n\"Answer: -2*q - 2204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5860 - 5865. What is the fourth biggest value in d, 0.2, 1\/7, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6367769 to the power of 1\/2, to the nearest integer?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*s + 57, -4*s = 4*b + 24 - 132. Let p = b - 17. What is the smallest common multiple of 8 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 238 - 11?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396002 is divided by 92.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 5)*(q + 0*q - 7*q)*(2*q + 0*q - 3*q).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 19. Let w(j) = 10*j. Let y be w(t). What is the least common multiple of 12\/21*35\/y and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049656 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 11*c - 3. Let i be o(-8). Let u = -29411\/16240 - 3\/2030. Calculate the common denominator of (-6)\/i - 930\/28 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*r = -8, 26*h + 90 = 4*r - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2212170 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/5)\/(3 - 2). What is the second derivative of -3*h + i*h**5 + 6*h**4 + 0*h - 6*h**4 wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(18)\/sqrt(96) + -4.\nAnswer: -4 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:55 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/((-3)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -6\/11 (c) -1.7 (d) 3 (e) -1\/6 (f) -0.3308\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.6. Let g = 1.69 + 0.21. Let x = m - g. Which is smaller: x or 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - (-5 + 231\/54) and -59\/174?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 283*u + 56. Give p(0).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1264*v**2 - 1424*v**2 - 38 + 2750*v**2 + 36 + 6157*v**2 in the form z + n*v**2 + o*v and give n.\nAnswer: 6219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58722407, 58722405, 58722403, 58722401?\n\"Answer: -2*b + 58722409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*i + 301*i = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281884546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 103, 229, 403, 625, 895, 1213?\n\"Answer: 24*c**2 + 6*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + (-8 - 9 - (-3 + 3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -105? (a) 0.1179 (b) 13 (c) -3\/7 (d) 3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3253, 9551, 22355, 35159?\nAnswer: 47963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 204683 or 204730?\nAnswer: 204730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 4, r: 2, y: 1}. Give prob of sequence yir.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 11) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-6)\/2 + -26 + 20. Are -4 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5413 and 5414 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127873\/179 or 715?\nAnswer: 127873\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*n - 6*n - 1)*(-2*n**3 + 2*n**3 - n**4).\nAnswer: 10*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2808*z + 121323 + 11657 = -4858*z + 1017*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 278, 618, 1094, 1706?\n\"Answer: 68*j**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*b**2 - 167*b**2 - 8387*b**2.\nAnswer: -9211*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -4*w + 74 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/3 - 65*o**3\/6 - 22*o**2 - 85*o\/6 - 7\/3 = 0.\nAnswer: -14, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2162 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9950476 tonnes to nanograms.\nAnswer: 995047600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4823 - -4819. Put 4, t, -5, -3, -23 in ascending order.\nAnswer: -23, -5, t, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 10587.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 273 + 52 + 54 - 3*v**3 + 63 + 45.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 + 400. Suppose -2*x = -3*o + 747, 287*x + 367 = 286*x - 5*o. Let k = x + a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639970.\nAnswer: 2, 5, 163997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1, 28, -1\/3, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {g: 8, k: 6, u: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 21. Let w = x + 5. What is the units digit of (w + 1)*35\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47527*s**4 - 71652.\nAnswer: -190108*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62694 and 16641?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(153) - sqrt(153)*2) - (sqrt(153) + 5*1*sqrt(153)))\/(1*(-2*sqrt(99))\/sqrt(11)) + -2.\nAnswer: -2 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 135*t**2 - 4*t + 4. What is the remainder when s(1) is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Let u(v) = 9848*v**2 + 2*v + 10. Let h be u(7). Suppose 42576 - h = g*k. What is k rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 232 = 24. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2\/11, 1, 0.4, 145564 in descending order.\nAnswer: 145564, 11, 1, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 860 times -0.6\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 252.607238 to one dp.\nAnswer: 252.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 312*d**5\/5 - 87*d**2\/2 + 218. What is the second derivative of m(n) wrt n?\nAnswer: 3744*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 24. Suppose -1375 - 197 + 60 = 216*s. Give r(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*(-999)\/74. Let i(r) = 14 + r**2 - 23 - 35 + d. Is i(10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*2.7\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 493365.8 rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21780 by 2.\nAnswer: -10890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 1. Let a be d(-5). Let v(t) = t**3 + 15*t**2 + 17*t + 58. Let o be v(-14). Solve 4*p + o = 0, -a*p + 20 = 2*f - 7*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(19) - (sqrt(228)*-3)\/sqrt(12)) - (sqrt(19) - (sqrt(19) - -6*(sqrt(19) + (2*sqrt(19) + sqrt(19))**2))).\nAnswer: 11*sqrt(19) + 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 1, -387, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1878665 * -3.\nAnswer: -0.5635995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, -1011127, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {n: 4, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9639551?\nAnswer: 41, 235111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(20\/(-32) + 1). Let t be 5 + (-7 - h\/(-2)). Factor -3*m**4 + m**t + m + m**4 + m**2 - m**5.\nAnswer: -m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m = -w - 20*m + 7, -w - 2*m = -11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g + 5949. Let o(q) = 7*q - 5947. Give 3*o(r) + 2*x(r).\nAnswer: 3*r - 5943","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z. Let j(c) = -48*c + 10 - 34*c + 13*c. Let t(v) = -69*v + 8. Let l(n) = -3*j(n) + 4*t(n). Give x(l(g)).\nAnswer: 138*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -496*n**2*w**3 + n*w**3 - 3*n*w**2 + 114*n*w wrt n?\nAnswer: -992*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 6*w**2 + 7*w - 3. Let a be m(7). Let r = -1 + 3. Suppose -2*k = -r, 2*x - 5*k + 9 = -0*x. Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -286.4 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 35, -14, 0.09, -0.03?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22441 is divided by 5607?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -5) + 77 - 28\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4 - 115257*k + 115253*k + 4*k**2 + 93*k**3 - 40*k**3. Let t(a) = 5831*a**3 + 441*a**2 - 441*a - 441. Give 441*o(r) - 4*t(r).\nAnswer: 49*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -3, 0, 1.1.\nAnswer: -3, -1.2, 0, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 3*p)*(9*p + 0*p - 2*p).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/240 - u**5\/24 + u**4\/6 + 4*u**3 + 379*u**2 - 4. Let p(o) = 0. Calculate o.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/227076 and 67\/1021842.\nAnswer: 2043684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - h + 46, 1 = -5*h - 9. What is the first derivative of g*x**3 + 12*x**3 - 25*x**3 + 7*x**3 + 14 wrt x?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afafbfbfa. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 6. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h + 10. Calculate q(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 9*v + 11. Give b(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -24?\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 56140 divided by -1604\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 35*q - 146 - 10*q.\nAnswer: 25*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - c. Let o be k(2). Solve -4*h + 6 = -o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 6) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2 + sqrt(19)) - sqrt(19)) + (sqrt(1216) + -3 - sqrt(19)) + (sqrt(19) + sqrt(171) + sqrt(171) + -1 + sqrt(19))*-1 + 5)**2.\nAnswer: 60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 9*m. Let n(w) = 3*w**2 - 7*w. Let l(x) = -4*c(x) - 5*n(x). Let k = 10 + -19. Let i be 6\/k + (-33)\/(-9). Calculate l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3778 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15066 - 0?\nAnswer: 15066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21670530 to the power of 1\/2, to the nearest integer?\nAnswer: 4655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 517 = 89. Let z = d + 399. Which is smaller: z or -27?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:32 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 - x**3\/3 - 8*x**2 - 20*x + 51. What is d in j(d) = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**3*q - 2*m**3 - 117*m**2*q + 11*m*q + 132*m + 5*q - 126 wrt q?\nAnswer: -4*m**3 - 117*m**2 + 11*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + r - 2. What is t(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182*x + 378?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/156*-2*-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3262 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 0*l - 7*l + 0 + 3 + 8*l. Let b be d(-3). Suppose 6 + b = -4*c. Let i(a) = -a**3 - 6*a**2 + 3*a + 8. Determine i(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5535\/243 + -23 - (-1714)\/18. Solve 7*s - u + 60 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 4249\/509?\nAnswer: 4249\/509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 18. Let b(w) = -12*w + 75. Let z(f) = -b(f) + 4*t(f). Determine z(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1536 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135213.6 decades in centuries?\nAnswer: 13521.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -3\/7 (c) -61580\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 16, l: 4}. What is prob of sequence lll?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8298710 times 0.1\nAnswer: -829871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufff when four letters picked without replacement from ffuuffuuuuuff?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29550929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13.6 * 0.41152\nAnswer: -5.596672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 35 = -2*q, 3*w + q - 41 = -0. Suppose 9*s + 28 = w*s. Solve -11 + s = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10.657, -8\/55, -37, -2, -1?\nAnswer: -10.657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/28*10\/((-490)\/343)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:31 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(0 + sqrt(2448)) + -2.\nAnswer: 3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-75 - -5)\/10*-1. Let t = -2 + 5. Sort -2, t, -4, v in ascending order.\nAnswer: -4, -2, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 332839445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 2*m**3 + 4*m**3 + (m - m - 2*m**2)*(m + 4 - 4) - m**2 + m**2 + m**3 - 1 - m**3 + 1 - m**3 - 3*m**3 + 2*m**3 + (2 + 2*m**2 - 2)*(3*m + 0*m + 6*m).\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25538125 and 1.03?\nAnswer: 25538123.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -37, 0.11, 12, 301, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 1) + (-5 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -4 (b) 0 (c) 3.3 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 40.6. Let m = -29 + 29.1. Let z = 0.6 - 0.2. What is the closest to m in z, 1, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 - 2*a**2 - 5*a + 2. Let l = -4 - -6. Let s(j) = 12*j**3 - 9*j**2 - 21*j + 9. Let o(i) = l*s(i) - 9*x(i). Factor o(v).\nAnswer: -3*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105643416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and -0.50474.\nAnswer: 0.39526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t + 216402 = 228141 for t.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40736998 and 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*y = -356*y + 189 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252) + 2 + -3)**2*-2*1 + 1 + -5.\nAnswer: -2022 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -87. Suppose c*l = 26*l + 2010. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1195\/78 - 91\/6. Let z = -2\/9 + 4\/9. Let f = 2805 - 2808. What is the closest to -1\/5 in f, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fawj when four letters picked without replacement from {p: 1, f: 1, w: 3, j: 2, q: 4, a: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*3\/6*(-4692)\/(-1955)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3919903 grams in milligrams?\nAnswer: 391.9903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3603 less than -0.1522?\nAnswer: 3602.8478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28350\/(-11025) + 164\/28?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 587240.\nAnswer: -117448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -83. Calculate the smallest common multiple of 9\/1*(7 + -5) and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 426691*w**2 - 418*w + 3439 wrt w.\nAnswer: 853382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 952 and 280.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**8\/840 + y**5\/40 + 2*y**3\/3 - 4*y**2. Let z(o) be the first derivative of g(o). Find the second derivative of z(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473637 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296377931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(8) + 1 - 2*sqrt(10)\/sqrt(5)) + (sqrt(2) + 0)*-6 + -5)**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -12 - (0 - 6 - (11 - (-4 - -3)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 14. Solve 3*v = -5*t - 6 + n, t + 1 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 22275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9*h - 3*t + 11, -5*h + 3*t = -29. Suppose -b - 4 = 3*y + h, -8 = 2*y. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1463.628555 rounded to the nearest 10?\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 244798, 243957, 243114, 242269, 241422, 240573?\n\"Answer: -k**2 - 838*k + 245637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 18 + 1 + 1 + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 4}. Give prob of picking 2 b and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26275090?\nAnswer: 2, 5, 2627509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793) + sqrt(2793)*1 - sqrt(2793))\/(-2*(-3*sqrt(3) - sqrt(3))).\nAnswer: 7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**(-38))**(-11)\/((p\/p**(1\/3)*p**3)\/(p\/(p\/(p**2\/p))*(p*(p**(2\/3)\/p*p*p)\/p)\/p*p)) assuming p is positive.\nAnswer: p**(831\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 8*i. Let g = -34 + 37. Suppose -g*v + 5*v = 5*p + 246, i = 5*p + 20. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100953231, -100953241, -100953257, -100953279?\nAnswer: -100953307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/1 - (-264788)\/53. What is l rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34129102 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 53. List the prime factors of (-4)\/(-14) - (-824)\/y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:53 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 14*r + 87. Let q be k(10). What is the common denominator of ((-174)\/q - -6)*111\/(-104) and -18\/5?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-610)\/240*-2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200)*-3 - sqrt(5200))*1)\/(-2*sqrt(784) - sqrt(784)).\nAnswer: 20*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 - 6 = 0. What is the units digit of ((-32)\/h)\/(4\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4*r + 43 - 30, 4*r + 11 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368\/304*1\/3*((-812)\/(-6))\/7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - sqrt(32)) + -4 - (sqrt(32)\/sqrt(4) - sqrt(8))**2 - ((1 + sqrt(2))*1 + -1).\nAnswer: -3*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19036013 by 50.\nAnswer: 19036013\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*u - 10 = 0, -4*k + 0*u - 28 = u. Let m be ((-5)\/(-3))\/((-2)\/k). Solve 2*g - 4*g**3 - 2*g**m + 0*g**5 - g**5 + 5*g**5 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-10)\/150*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -2*n**2 + 0*n**4 + 0*n**3 + 0*n - 1\/210*n**5 + 0 - 1\/735*n**7 - 1\/210*n**6. What is c in s(c) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 14*v - 47. Let w be m(6). Does 61 divide (2 - 3)*w - (-980)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 2159?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-15) + 25197\/9. Suppose 0 = -f + 6*f - m. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)\/(h\/h**(3\/7))*(h**1)**29 assuming h is positive.\nAnswer: h**(405\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 51*v + 35. What is the remainder when d(-12) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 - (5 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1061.8 - 1067. Let g = -14 - -17. Which is the second biggest value? (a) 2\/5 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - -4*sqrt(80)) + sqrt(5) - sqrt(5)) + -4.\nAnswer: -4 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34692222 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -889.\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78, -39, 6, 57?\n\"Answer: 3*k**2 + 30*k - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.757183 nanograms in kilograms?\nAnswer: 0.000000000008757183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*q**3 + 0*q**2 + 93\/2*q**4 + 0 + 0*q - 3\/4*q**5.\nAnswer: -3*q**3*(q - 60)*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 - (2 - -20)*(-23)\/46. Let 0 - 12\/5*t**z + 9\/5*t + 3\/5*t**3 = 0. What is t?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*n**4 + 14292*n**3*p + 2*n**2*p - n**2 - n*p - n - 14874*p + 37 wrt n.\nAnswer: -2952*n + 85752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 754*p**2 + 2*p**3 - 57*p**4 - 52*p**4 + 108*p**4 to g*p**3 + k + d*p + q*p**2 + o*p**4 and give q.\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6392344 is divided by 96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/24*(-2)\/(-4). Let s = 283 + -1416\/5. What is the nearest to -2\/3 in p, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 1 (c) -42 (d) -2 (e) 26\/3 (f) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = 0. Let k be (-4 + 4)\/(h + 1). Find the second derivative of 0 + 2*d + k + d**3 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62135, 124073, 185815, 247361?\nAnswer: 308711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 190. Suppose 28 = g + f, 2*g - 5*g + a = f. What is the least common multiple of 24 and g?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 134. Is ((-48)\/(-24))\/(s\/641) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let x(g) = -36851*g**2 + 18619*g**2 + 18457*g**2. Give i(x(v)).\nAnswer: -225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 44*m = -129 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, -710, -4 in decreasing order.\nAnswer: 2, -1, -4, -5, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-308)\/56*(-3072)\/(-1056).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 260\/(-3042)*201\/(-335)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from yiffnof.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 16. Let s be i(-4). Suppose -2*z - s = -2*p, p + 3*z - 30 = -2*p. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v + 9. Solve -1 - 3*k**2 + 2*k**4 - 4*k**v + 4*k - 1 + 3*k**2 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121315131 (base 6) to base 12\nAnswer: -935aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*s = -14, -t + 2*s = t + 4. Is (-14388)\/(-16) + -2 + t\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 7, -0.3, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 10, -106, -444, -1106?\n\"Answer: -17*r**3 + 42*r**2 - 3*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + w**2 + 1. Let f(p) = 6*p**3 - 3*p**2 + 67*p - 3. Determine 3*c(l) + f(l).\nAnswer: 3*l**3 + 67*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 1\/4 (c) 16.67 (d) 1.392 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glggl. Give prob of sequence gl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1018\/3 - -338. Which is the closest to 1\/6? (a) -2\/7 (b) p (c) 4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -18. Suppose 6*l - x = 2*l. Suppose -q + 52 = l*q. Calculate the remainder when 24 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.3, 3, 8.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*(-20)\/(-25) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 4)*(-4*r + 0 + 0)*(519 + 75 - 20)*(6*r - 1 + 1) to n*r**2 + x + q*r and give n.\nAnswer: 13776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.076 + 0.924. Let o = -0.068 - 1.932. Let u = 1 + -1.02. What is the closest to p in 1, o, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let s(r) = -r**2 - 2*r + 6. Let a = 1 - 2. Let p(j) = a*s(j) - 3*h(j). Determine p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3826005*r**3 - 3677991*r**2 wrt r?\nAnswer: -22956030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97*n - 10*n - 57*n)*(-10*n + 19*n**2 + 10*n) as u*n**2 + j*n**3 + z + f*n and give j.\nAnswer: -3116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 3627*s - 138306.\nAnswer: 3*(s - 37)*(s + 1246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 3468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62554352 and 672.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:05 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/48497117 or 1?\nAnswer: -1\/48497117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271 - -276. Suppose -2*x - 4*c = -810, -m*c = 3*x - 1336 + 126. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1577308600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4072*h + 20509. Determine d(5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257153835 to the nearest integer?\nAnswer: 35456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l = -414405 + 412011 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7426 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(4\/3 - 2). Suppose 2*d = 20 - 14. Suppose d*h = 17 + 34. Solve -i*g = 15, 3*l - 3*g = 2*l + h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*u = -56, p - u = 33 - 21. Calculate the remainder when 156 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 9*p - 25637028 + 79*p + 25637028.\nAnswer: p**2 + 88*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42663 - -1.\nAnswer: -42662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1752, -1609, -1420, -1185, -904, -577, -204?\n\"Answer: 23*u**2 + 74*u - 1849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2903*v = -2*a - 2899*v + 8, a = v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6 = -0*a, -z - 17 = -4*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69941604, -139883209, -209824814, -279766419?\nAnswer: -349708024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(14) - sqrt(14)*3*5)\/(sqrt(2)*-3*-4 + sqrt(2)).\nAnswer: -14*sqrt(7)\/13 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14121 and 15699.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 - (0 + -1). Let r(o) = 4*o. Let w be r(h). Solve -4*x = -4*v + 32, v + w*x + 6 = -1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 454 and -239789?\nAnswer: 240243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8142610 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 10) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-25) - (-97909)\/109305. Let m = i + 16\/1041. Find the common denominator of 167\/30 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/44*(3 + (-243)\/(-5)). What is the second derivative of 267*o**4 - q*o**4 - 188*o + o**2 - 120*o**4 wrt o?\nAnswer: 216*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4102172.\nAnswer: 2, 1025543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 0.1 (c) 0 (d) -6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4666264829.\nAnswer: 5519, 845491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -66, -137, -244, -393, -590, -841, -1152?\n\"Answer: -y**3 - 9*y**2 - 7*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 684 + 69349?\nAnswer: 70033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163 and 44267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhim. What is prob of picking 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + n - 16 = 0, 3 = 2*b + 3*n - 3. Let j be 0 - -3 - ((b - -3) + 3). Suppose j = 3*a - 8*a - 5. Is -3\/17 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {m: 2, b: 1, i: 1, e: 1, c: 2, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 18, -5, 1\/4 in decreasing order.\nAnswer: 18, 1\/4, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38290 - 477.41?\nAnswer: -38767.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 330, 312, 300, 294, 294, 300, 312?\n\"Answer: 3*r**2 - 27*r + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 386.11 times -33.4\nAnswer: -12896.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/65 or -189\/20?\nAnswer: -189\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 125*n - 93*n - 3)*(0*n + n - 2*n) + (-n - 3 + 3)*(-2*n + 2 - 2).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36208652791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, 1412, -23 in ascending order.\nAnswer: -23, -5, -3, 3, 1412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -l - 2*l - 227, 5*l = -5*y + 630. Suppose -27 = -2*j - 5*m, j - m - 13 = -3. What is the highest common factor of j and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -12. Let n(k) = -3*k - 1. Let g be n(-1). Let z be -1*(15\/7 - g). What is the nearest to -1 in z, x, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/(sqrt(36)\/sqrt(3)))\/sqrt(8).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 822928 divided by -102866\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/28 + (-120)\/(-6)*3\/15?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 4, b: 3, x: 5}. What is prob of sequence eii?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 11. Let t(l) be the third derivative of l**5\/60 + l**4\/8 - 5*l**3\/3 + 469*l**2 + 2*l. Give -3*b(k) - 2*t(k).\nAnswer: -2*k**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*r + 26, -3*g + r + 37 = -4*r. Let x = -12 + g. Differentiate -7*j - 4 + 3 - 4 - x wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -65, -23 in descending order.\nAnswer: -3, -23, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.202 + 7.898. Let f = v - 8. Let h = 0 + 2. Which is the smallest value? (a) 2\/7 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 21*z**2 - 21*z - 4. Suppose -311 + 5 = -31*j + 35. Let o = -43 + 30. Let w = o - -11. Let t(y) = 4*y**2 - 4*y - 1. What is j*t(a) + w*c(a)?\nAnswer: 2*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Let m(n) = 3*n + 3. Let b(w) = w**3 + w**2 + w - 2. Let h be b(0). Let c be m(h). Is k at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 4*h + 72 = -8*a, -3*h = -5*a + 219. Let z be 41\/3 + 1\/3. Calculate the highest common factor of a and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + y + 12. Suppose 4*u + 5*n = 33, u + y*n - 5 = 6*u. Suppose 8 + 4 = 2*f. Calculate the lowest common multiple of u and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 + 114*x**3 + 231*x**2 + 116*x = 0. Calculate x.\nAnswer: -1, 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3672*m + 1768. Let w(t) = 2*t - 13. Let x(r) = -k(r) - 136*w(r). Let i(y) = 3*y**2. What is i(x(z))?\nAnswer: 34680000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 174*-414791\nAnswer: -72173634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -68, -2\/5, 4 in decreasing order.\nAnswer: 4, -2\/5, -13, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2. Let u(x) be the first derivative of -33*x**2\/2 - x + 379. What is u(f(w))?\nAnswer: 198*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oojoy. Give prob of sequence yj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8636685011.70069 + -8636448774. Let t = -236239 + z. Let p = t + 1.3. What is p rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3 + 4360*k**2 + 158426*k - 334308 = 0?\nAnswer: -2143, -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 6 = -2671*a + 2673*a, 0 = -35*a + 31*a + 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-3 + -2*sqrt(1100) + 5 + 0 + sqrt(1100) + sqrt(1100) + sqrt(1100))*-3)*1)**2.\nAnswer: 420*sqrt(11) + 9949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (7 + -4) - (-95 + 99)) + 10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 67. Let j = -16131 - -16202. Let w = g + j. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1033370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w = 25772 + 384220. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/7)\/(8\/2 - 3). What is the second derivative of 82*r**l - 89*r**2 + 55*r**2 + 76*r**2 + 52 - r wrt r?\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60838582 divided by 518?\nAnswer: -117449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from {k: 6, r: 1, a: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7594740 divided by -1\nAnswer: -7594740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-8 + 3)) + 4. Suppose c - 2 = 5*z. Let g be 3 - (-1 + 1 + 1). Is g != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1628220 and 4884660?\nAnswer: 4884660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*o**5 + 821*o + 2*o**3 + 34*o**4 + 3*o**5 - 3 + 37*o**5 wrt o?\nAnswer: 60*o**3 + 408*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 + 0 + (-575)\/605. Is 0 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 2*r**2 - 2*r + 5. Let l(j) = 16*j**3 + 11*j**2 - 11*j + 25. Give 4*l(z) - 22*p(z).\nAnswer: -2*z**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 4*s**3 - 2460*s**2 + 2462*s**2 - 1 - 1 + 25*s - 4*s to the form w*s**3 + u + a*s**2 + j*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -1 + 2\/3*j**3 + 3*j - 2*j**2. Determine t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-5)\/sqrt(7) + (-3 + sqrt(11) + -4 + sqrt(11) + -3)**2.\nAnswer: -30*sqrt(11) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 618, 811, 926?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 17. Let u be c(10). Let y be -3 - 192\/(-5) - u. Let r = y - 39. What is the third smallest value in -3, -2\/5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 311*x**5\/60 + 662*x**3\/3 - 1206*x**2. What is the first derivative of w(i) wrt i?\nAnswer: 622*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57980.1 centuries to months.\nAnswer: 69576120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5160 + -5099. What is the remainder when 64 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-15) - (1 + (-388)\/576). Let w = a - 305\/2448. What is the closest to -7 in w, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 - 61. Let d(b) = 2*b**2 + 9*b - 12. Let o be d(-6). Suppose -o*s - 3*s = -r. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.07*-0.023\nAnswer: 0.18561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -6, -5, -1258, -2 in ascending order.\nAnswer: -1258, -6, -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/16 - f**3\/12 - f**2\/4 + 9. Suppose s(v) = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 41 = 5*c, 32 = 5*y - 3*c - 10 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4\/7 (b) 3 (c) -66 (d) -2 (e) -12 (f) 1\/389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 18*d + 5. Give o(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11120 (base 4) to base 9.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 3180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-2 - ((-84)\/16 + 1). Let p = 43 + -32.8. Let c = -10.1 + p. What is the closest to 1\/4 in s, c, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.4g in kilograms?\nAnswer: 0.3524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x - 40 = 5*d, -2*d + 3*x - 16 = 0. Let n be (2\/12)\/((-2)\/d). Factor -2\/3*y**3 + 0 + 2\/3*y + 2\/3*y**4 - n*y**2.\nAnswer: 2*y*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.4 (c) 1\/4 (d) 327 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let i = o + 1.98. Let c = -0.38 + i. Round c to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a millennium?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*v**3 + v + 21 wrt v?\nAnswer: 624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmmmn. What is prob of picking 1 j and 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}