diff --git "a/data/dm_maths/full_data/1741_11255.jsonl" "b/data/dm_maths/full_data/1741_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1741_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (b**(2\/5))**(-4\/7)*(b**(-2\/9))**(28\/5)*((b\/b**(-3\/2))**(7\/2))**36 assuming b is positive.\nAnswer: b**(98761\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 9. Let p be (-142)\/10 - 3\/a. Let t = -10 - p. Solve -8 = -t*x + f, f - 2*f - 11 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 108, 164, 242?\n\"Answer: 11*j**2 + j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (36 - 18) + -18\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {l: 3, w: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2086.082 - 2083. Let s = 0.082 - b. What is the third smallest value in -13, s, 1, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6540.84768 + -0.15232. Let o = -6497.27 - w. Let x = o + -44. Round x to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 10) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 4*d**2 + 2*d - 5. Let y be m(4). Suppose -4*g - 10 = -u, -y*u - 4*g + 6*g = -20. Solve z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, u: 10}. Give prob of sequence up.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-17997)\/(-90))\/((-8)\/10). Let j = 250 + x. Let a = j + -79\/168. What is the smallest value in 3, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 - 1140*m**3 - 17904*m**2 + 85424*m - 90048 = 0.\nAnswer: -268, -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, 3, 3\/91?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*o = 382*o + 315. Suppose 74 - 9 = 5*i. Calculate the remainder when o is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**7\/210 - h**6\/15 - 2*h**5\/5 - 4*h**4\/3 - 8*h**3\/3 - 2*h**2 + 14*h. Suppose s(u) = 0. Calculate u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2466.3 - -2466. Put 0, -2\/11, 3.2, f in descending order.\nAnswer: 3.2, 0, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - k = -14, 117*h - 116*h + 4*k + 16 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*n + 416, -2*n - 84 = -r + 22. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 3:52 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4426079179?\nAnswer: 109, 197, 206123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 8403520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 16*l + 21. Let k be c(-17). Let s(n) = -4*n + k*n - 7*n. Let a(h) = 2*h**2. Calculate a(s(i)).\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -n - b - 4, -n = b - 16. What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11\/3 (b) 16644 (c) -0.5 (d) 5 (e) -2\/3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkkfkkfwf. Give prob of sequence fk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 29 = 4*b, b + 0*b - 56 = -4*z. Suppose h - 3*y - 19 = 0, -2*y = -4*h - 0*y + 26. What is the remainder when z is divided by 72\/(-20)*(-10)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*q**3 + 155*q**2 - 20*q - 20.\nAnswer: -5*(q - 2)*(2*q - 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2*q, -5*q = -6*p + 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2*y**3\/3 - 12. Factor q(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -510550 + 510553. Factor 2*w**4 + 1\/2*w**5 - 3 - 17\/2*w + 0*w**c - 7*w**2.\nAnswer: (w - 2)*(w + 1)**3*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1303642 + 2644551. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 + -197. Let w = -0.12 - -5.12. Which is the third smallest value? (a) w (b) q (c) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -133, -315, -573?\n\"Answer: -38*q**2 + 8*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -283\nAnswer: 45.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - a - 32 + 53 as k*a + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 338 - 335. Suppose 39*t + 107 = 3*d + 43*t, -d + 34 = o*t. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7104 + 0.0896. Let q = -62 + 556\/9. Which is the fourth smallest value? (a) -2\/13 (b) y (c) 0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9220 and 613130.\nAnswer: 1226260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, t: 2}. What is prob of sequence txxt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*q - 12 = 0, -3*p - 4*q = -3*q + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 2*w + 1. Let h = 108 + -108. Calculate i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 + 78*a**2 + 340*a = 0.\nAnswer: -34, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 2. Let z = 0.1 - t. Let j = 0.192 - z. Round j to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -10. Suppose t - 3*a = -z*a + 17, -t = 4*a - 14. Suppose -6 = -3*f + t*f - 4*b, -2*b = 5*f - 30. What is the remainder when 8 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727248 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:15 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3\/2 - 315*a**2\/2 - 1971*a\/2 - 2997\/2 = 0.\nAnswer: -3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -a6?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71033, 285187, 642111, 1141805, 1784269?\n\"Answer: 71385*r**2 - r - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*x + 11, y + 11 = 2*x - 7*x for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1\/7, 2680, -57\/8?\nAnswer: -57\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 60006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 995*s + 989. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1896\/(-2212))\/((-4)\/14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 21. Is 6 a factor of (-2)\/g + 248\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/2205 and 69\/4?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.5, 0.3, 0, -3 in decreasing order.\nAnswer: 0.3, 0, -2\/5, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-5 - (-2 - 2))\/1). Let y be (20\/7)\/(4\/28). Solve p = i*p + y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - q**2 + 4*q**2 + 50 + 4.\nAnswer: 3*q**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viii when four letters picked without replacement from {m: 4, v: 1, o: 2, i: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(176)*-1 + sqrt(176)))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 6*n**2 + 6*n + 1. Let j be w(-5). Let d be (6\/4)\/(j\/(-8)). Suppose 6 = d*g - 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1769*o - 24652 - 29999 - 12199 = 905*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17214, -196, 1.\nAnswer: -17214, -196, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 198*z. Let b(d) = -2*d**2 - 199*d. Determine -4*a(q) + 3*b(q).\nAnswer: -2*q**2 + 195*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/516600 and 137\/46224.\nAnswer: 331657200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002834 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276 - 173. Suppose 3*t - 12 = 0, d - 5*t - 8 = q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/8 + 32067*y**2\/8 + 5549207*y\/8 - 5581275\/8 = 0.\nAnswer: -31893, -175, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 7821.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 29, 5, 14, 825.\nAnswer: 4, 5, 14, 29, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r - 100 = -k, -30 + 44 = r + 3*k - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 7*j**2 + 8*j - 10. Let w be g(6). Solve -l + w*c = 4*c + 4, 0 = 2*l + 2*c + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59211 - -3730409\/63. Let g = j + -14\/9. Do g and 25\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/21 + -1)*225\/(-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55081045 and 6940.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, -9, -30, -57, -90?\n\"Answer: -3*r**2 - 6*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 - (-70 + 83).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 3765*x**2 + 2*x**3 + 3*x**3 + 626*x**2 + 3*x**3.\nAnswer: 6*x**3 - 3139*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**4 - 23*z**2 + 0*z**4 + 7*z**4 - 624 + 21*z**3 + 625 to the form q*z**3 + m*z + f*z**4 + y*z**2 + r and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:35 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 + p. Let b(z) = z**2 + z. Let v(y) = -2*b(y) + l(y). Find the second derivative of v(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12794 > -12847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/6*(-2)\/(-4)*(-6)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (12 - 6\/3). Suppose -4*b = 5*d - 3 - p, d - 2 = 4*b. Solve 4 = d*k - 0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5686 (base 13) to base 6\nAnswer: 132021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 4:14 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8147? (a) -0.05 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-8 - (22 - 6 - 8)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -48, -105, -202, -351, -564, -853, -1230?\n\"Answer: -2*v**3 - 2*v**2 - 9*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 g when three letters picked without replacement from {m: 2, f: 3, g: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 140, 266, 392, 518, 644?\n\"Answer: 126*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 49*b = 48*b - 1600 - 3340 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - p**2)*(-18 - 3*p + 47 + 4*p) as v*p + c*p**3 + g*p**2 + t and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 - 1 + 33*o - 3*o**2 - 1 - 34*o to the form y*o**4 + r*o**2 + k*o**3 + i*o + d and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 76*b - 1118. Let i be p(13). Which is smaller: i or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 16*d**2 + 163*d - 36. What is g(7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1547 + 1632. What is the highest common factor of p and 765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244313 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -669 or -668?\nAnswer: -668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -10.3. Let u = k - 0.7. Let f = -0.3 + u. Which is the second smallest value? (a) -1 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*40\/(-70).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -58, -93, -132, -175, -222?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*a = -0*a + 19836, -4*a + 14884 = -3*v. What are the prime factors of -2 - (3\/2)\/(7\/v)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -0.03?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = 4. Let p be (-3)\/12 - 392\/(-32). What is the lowest common multiple of -2*(-3)\/p*0 + 9 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*a - 3, o + 5*a = 60. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*q = -10332, 2*c - q = -2807 + 7963. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -40*i + 443. Give h(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18285 and 41570?\nAnswer: 152021490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let f be j(-3). Suppose 0 = 5*b - 2*x - 33, b - 3*b - 3*x - f = 0. Calculate the highest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 30678 = -5*x, 0 = -27*x + 23*x - 3*k + 24542. What are the prime factors of x?\nAnswer: 2, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/57*(-8835)\/81840.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121180395 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5328412, -10656812, -15985200, -21313576, -26641940?\nAnswer: -31970292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.2829 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.02 - -0.02. What is the closest to 0.1 in o, 0.3, -2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59899.63 weeks in nanoseconds?\nAnswer: 36227296224000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/5 (b) 18 (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p - 8. List the prime factors of m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4270*v + 489. Is j(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(288)*2.\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52452 by 6.\nAnswer: 8742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.99 - 0.01. Let d = u + -2. Is d at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9024664 is divided by 820423.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 - 3*l + 12. What is the remainder when h(-5) is divided by (18\/(71 + -17))\/((-1)\/(-108))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (39 - (2 + 1))\/(55\/770)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/20*(-2904)\/85305.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -533 + 305. Let o be 6\/(-21) - h\/14. Suppose 5*u - o = 9. Solve -10 = -u*s + p, 5*p = -s - 0*p + 28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -541*w**2 - 8*w + 8. Let d be a(1). Let z = -521 - d. Calculate the lowest common multiple of z and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/153 and 29\/180.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39710023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21189\/1172 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*g**3 + g**2 - 118*g**3 - g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48)\/((-7)\/1578*(-225)\/(-350)).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*d + 20. Let f = -2 - d. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.1222206 rounded to 3 dps?\nAnswer: 107.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (6*(sqrt(1300)*1 - sqrt(1300))*1)**2 + (0 + sqrt(1300))*-4 + (1*sqrt(1300) + sqrt(1300))**2 + 3)*4.\nAnswer: -160*sqrt(13) + 20808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -1\/34, -0.1, 17\/5 in ascending order.\nAnswer: -0.1, -0.07, -1\/34, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 17.87. Let z = -22.13 - m. Let k = z + 21.99996. Round k to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111454 is divided by 391?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 3 = 7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1417 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 0.4 (c) -1\/7 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -r - 2, -2*r + c = 3*r + 22. Let h be (r - 0)\/(2\/4). Let f = h - -10. Solve -5*x + 20 = -f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-250)*-10)\/((-1)\/(-95))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 4361?\nAnswer: -4366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97174 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 19 = -5*k, 0 = -4*x + 5*k - 4*k + 7. Suppose -a = -5*y - 4, -3*a + 2*y = 1 - 0. Let c be 0 + 2 + x*a. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216137 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29300418 + -11?\nAnswer: 29300407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 46. Solve 0*t = 3*w + 3*t - 15, 3*t = -2*w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 18*z + 6490 = 0. What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24359866 divided by 2.\nAnswer: -12179933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - 4*f**3 - 3*f**3)*(6*f + f - 5*f) + 71066*f**3 + 1 - 4*f**4 + 27*f - 71063*f**3 - 2.\nAnswer: -8*f**4 + 3*f**3 + 27*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11122321 + -1320?\nAnswer: 11121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66113731?\nAnswer: 17, 31, 125453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*188393\nAnswer: -75357.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j + 0*j**3 - 5\/2*j**4 + 41\/5*j**5 - 21 + 0*j**2. What is the third derivative of k(o) wrt o?\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 501 + -287. What is the remainder when t is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 2. Let s be v(7). Suppose -3*n - 4 = -0*n - 2*j, s = -3*j. Suppose -a + 0*a - 2 = 0. Sort 4, 3, n, a in increasing order.\nAnswer: n, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/15 - 555\/666.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -3178, -11156, -26778, -52582, -91106, -144888, -216466?\nAnswer: -308378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 13 = -6*z + k, 2*z + 4*k + 2 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/325*((-14)\/(-10) + 13735\/(-6150)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 129*c**2 - 5*c - 15. Let s(r) = 63*r**2 - 2*r - 7. Determine 7*s(n) - 3*x(n).\nAnswer: 54*n**2 + n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 12.92. Let d = t - 1.08. Let f = d + 0. Which is the third biggest value? (a) 1 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n = 9. Let k = 16 + n. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) 3\/4 (b) 0 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2053*o + 32 = -2037*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -1, 7260, 1\/2, -14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millisecond in microseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/809199903 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8 = -g, -g + 13 = 169*r - 171*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = -2*c, 3*c + 2 = 2*c. Let v = 1 - -3. Find the third derivative of o*x**2 - 7*x + 7*x - v*x**5 wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 86, 3, 103, 0.5 in increasing order.\nAnswer: 0.5, 0.6, 3, 86, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/64)\/((-38)\/8). Let v = -1\/19 - z. Is 1\/2 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 80899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = 2265350 - 335507. What are the prime factors of b?\nAnswer: 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -21\/16 in decreasing order.\nAnswer: 1, -21\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44302 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2050 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + -7 - 7*1. Let s be (27\/o)\/((-2)\/(-4)). Let f be s\/(-15) + (-44)\/(-10). Sort f, -3, 3 in ascending order.\nAnswer: -3, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*((sqrt(405) + 0)*-4 + sqrt(405) + sqrt(405) + -4)**2 - ((sqrt(405) - (-3 + (sqrt(405)*2)**2) - 4*(1 + sqrt(405))) + -3)).\nAnswer: -4920 - 549*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let z(p) = 8*p - 5088. What is b(z(l))?\nAnswer: 128*l**2 - 162816*l + 51775488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 39. Determine x(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2 + 87720*a + 961849800 = 0?\nAnswer: -21930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/18*-3*(-4)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13 + (0 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5\/3, -3, -9, 2\/7 in decreasing order.\nAnswer: 3, 5\/3, 2\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 6:46 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150802 and 150802?\nAnswer: 150802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79813 greater than 79803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27.47933 nanometers?\nAnswer: 0.00000002747933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -33. Suppose -j*b + 4*b = -6. Suppose i + i = 0. Solve i*w = -w - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -13\/212983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2531044 and 2531044?\nAnswer: 2531044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4\/5 + 65636*t**3\/5 - 9389376*t**2\/5 + 67454208*t = 0.\nAnswer: 0, 72, 16265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8999917.7 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/143771 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.72038 in -16, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 13, -0.1, 0.008, 7, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 - 3.27. Let q = i + 7. Which is the second biggest value? (a) -2\/7 (b) q (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + -27 + 4 + 12. Solve a = -5*i - 4*o - 2, -6*o - 2 = -7*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27940.263 months to centuries.\nAnswer: 23.2835525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 1425 + 1151. Suppose -368 = -4*c - w, 4*c - h + 0 = 2*w. Calculate the greatest common divisor of 1472 and c.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1948153*k + 1948153*k + 4*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302400178 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/12 + 37*x**3\/6 - 37*x**2\/2 - 7*x. Let o be h(-22). Let p = 836 + o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Suppose -2*x - i = 4. What is the third smallest value in x, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3)\/x)\/x**(2\/7)*(x\/((x**(2\/7)\/x)\/x)*x)**17 assuming x is positive.\nAnswer: x**(461\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**2 - 3 + 192*w**2 + 19*w**2 + 110*w**2 + 0 to the form a*w + s*w**2 + d and give s.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/15))**(-6\/5)\/(s**(-3\/10)\/(s**2*s)))**(-1\/2))**6 assuming s is positive.\nAnswer: s**(-471\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i**2 - 189*i + 189*i - 29*i**4 wrt i?\nAnswer: -696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -27 + 265 + -142.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104) - sqrt(104)*-3)*5)\/(-2*sqrt(56)\/sqrt(7)*1).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-20)\/(-6)) + (-75)\/(-9). Suppose -3*k = -y*k + 420. Let m = k + -51. Solve -4*o = -3 + m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4405.499 hours?\nAnswer: 15859796.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 40. Let t(a) = 4*a - 10. Let g be t(3). Suppose -52 = -2*d - 4*i, g*i + 3*i - 20 = 0. Calculate the least common multiple of d and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2264430 and -0.0306.\nAnswer: -2264430.0306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54507\/2396 + 1\/1198. What is the common denominator of 101\/(-8) + 1\/4 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 7*p**3 - 2*p**3 + 277*p**2 - 6*p**3 - 2*p**3.\nAnswer: -6*p**3 + 277*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5001141880?\nAnswer: 2, 5, 7, 2551603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(147) - (-1*sqrt(147) + -3))*3)**2 - (-4 + (sqrt(147)*-2 - sqrt(147)) - (0 + -1 + sqrt(147)))**2) + -5).\nAnswer: -6014 - 1176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1552 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u = -12. Suppose d + 4*d = -i - 19, -13 = u*i + 4*d. Let l be (i\/7)\/(3\/9). What is the third biggest value in 0.1, l, 4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 41 + 9)*(3*n**3 - 3*n**3 + n**3).\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4019 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108785, -217734, -326683?\nAnswer: -435632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4038*(-3)\/(-6))\/((-30)\/20) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370 and 116275.\nAnswer: 8604350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taz when three letters picked without replacement from tzttbmababtaata.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155718082 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t**2 + 7*t + 9. Suppose -j - n = 2*j + 38, j + 30 = 4*n. Let f be (j\/4)\/(3\/6). Let g(r) = 6*r**2 + 4*r + 5. What is f*g(i) + 4*q(i)?\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -12, -5*d + 1059887 = 2*o + 1059713 for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28729064439820 - -0.2.\nAnswer: 28729064439820.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 3*s + 2. Let k be z(-3). Suppose -n - k = -2*n. Suppose -i - n*c = -53 + 13, 5*c + 155 = 5*i. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 + 9 - (-8 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 677, 679, 681, 683, 685?\n\"Answer: 2*c + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 7. Let s be z(7). Let c = -2 + s. Suppose 6*j = 2*j + 88. What is the remainder when j is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233993, 468538, 703081, 937622, 1172161, 1406698?\nAnswer: 1641233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:10 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1386 and 69300?\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (-18 + -4 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298941 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 2 (c) -2 (d) 0.011836\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38695249?\nAnswer: 127, 304687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -29366.\nAnswer: 323026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11312131 - 1231?\nAnswer: 11310600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1166 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r + 50*r + 709 + 65 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = r + z - 59, 2 = 2*z. Factor -6*k**3 - r*k**2 + 3*k**5 + 40*k**2 + 0*k**4 - 6 - 21*k + 6*k**4.\nAnswer: 3*(k - 2)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -0*p + 3, 0 = 3120*r - 3107*r - 2*p - 72 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/6 - 2*c**2 - 2*c + 88. Let r(j) = j**2 - 5. Let g be r(0). What is v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**17*f)*f**(5\/2))\/((f\/(f*(f**(2\/11)\/f)\/f)*f)\/f*f*((f\/f**(-3))\/f)\/f) assuming f is positive.\nAnswer: f**(-425\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.0409, -368, 7\/4?\nAnswer: -0.0409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 27 = h, -h + 2 = 0. Let q be (56\/10)\/((-3)\/15). Let a = q + 44. Solve a = -l*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*k - k = -226, g + 5*k = 124. Let o = -335 + 388. Suppose -b - g = -4*b + 3*r, -4*r = -b + o. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2050055036 - -5?\nAnswer: -2050055031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3494*l. Let z(r) = 14*r**2 - r. Determine z(v(s)).\nAnswer: 170912504*s**2 - 3494*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76329770063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*z - z = 12, -12 = 3*g - 3*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdmmdmmdlddmlmd. What is prob of sequence dldm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/1045, 1, -2, -1\/12, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129705 is divided by 14401.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -70*u**2 + 25*u + 5 = 0.\nAnswer: -1\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229655 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 7*p**3\/6 + p**2\/2 + 12*p. What is d(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m**(-1)\/m)\/m*m*m))**(-18\/11)*((m\/(m**(-1\/7)\/m*m))\/m)\/m**(1\/4)*((m*m\/(m\/m**(-4))*m)\/m**(1\/5))**26 assuming m is positive.\nAnswer: m**(-8023\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from jkjllskllpjt?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -172 and 1900.228?\nAnswer: 2072.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1207522 by 5.\nAnswer: 1207522\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z**2 - 927*z + 4655. Give h(5).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-964)\/36 + 206\/(-927).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7839, -6\/13, 30?\nAnswer: -0.7839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 4*i**2 + 2 + 2*i**2 - 15 - 9*i. Let j be u(9). Let p = -73 + j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let i(j) = 4*j**2 + 0*j + 5 - m - j**2 + 3*j. Let d(v) = 10*v**2 + 9*v + 6. Let o(k) = 2*d(k) - 7*i(k). Determine o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118846307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 705 + -704. Which is greater: q or -2\/151?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*w = -111*w - 124 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 - 3*x**2 + (-4*x**2 + 3*x**2 + 3*x**2)*(0 - 5 + 2).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 8*n = 25*x - 14*x - 14*x - 92, -n - 11 = 4*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b. Let r be s(-2). Suppose 7*n - r*n = 6. Calculate the remainder when 12*(n + 15\/(-10)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v + 3\/4*v**4 - 15\/2*v**2 + 1\/20*v**5 + 0 - 2*v**3. Let z be r(-10). Solve 4*d = f + 16, -z*f + 2*d - 3 = 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592515 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(9\/(-81)*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/2*(-31 + 32). Which is the third smallest value? (a) 0.3 (b) z (c) 0.5 (d) -1\/8 (e) -33\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n + 5. Let a be b(5). Sort 4, 3, a in descending order.\nAnswer: 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*s = -30, -c + 2*s + 3*s = -2. Suppose 0*p + 5*n = -p - 20, 2*p = -n - 4. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11.15829ml?\nAnswer: 0.01115829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 + 106*d + 1772. Determine l(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005697271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18765 and 45945?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5887 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -5 (c) -9792\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i - 2*x + 12, i - 5*x = -19. Which is the nearest to -1\/4? (a) i (b) 2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12*f*f**(4\/7)*f)**24*((f*f**1\/f)\/f*f)**8*(f**(1\/4)*f)**(2\/157) assuming f is positive.\nAnswer: f**(786291\/2198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 8 + (50 - -3 - 13 - -5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.6, -0.23, 3795?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3\/4 + 27315*y**2\/4 - 4299750*y + 655087500 = 0.\nAnswer: -9705, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 951011 and -26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -7*s + 15. Solve -12 = -2*o + 2*u + u, s = -5*o - u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033 is divided by 495?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1367 - -1374. What is the smallest common multiple of 493 and y?\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 26\/(-4))\/((-65)\/28210) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 80*d**2 + 3*d - 11. Let r(i) = -3*i**3 - 159*i**2 - 5*i + 20. What is -7*b(g) - 4*r(g)?\nAnswer: 5*g**3 + 76*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1573) + 0 - sqrt(39)\/(4*sqrt(36)\/sqrt(12)).\nAnswer: 2 + 43*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.081 + -0.019. Let n = 833\/8 + -104. Which is the closest to d? (a) n (b) 2\/11 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*250555\nAnswer: 3507770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 2 - 2 + 0. Suppose -4*d + 28 = -5*t, 4 = -t - 0*t. Let m be 119\/35 - d\/5. Determine h(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-20) - 29\/(-2). Let p = t - -1. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 18*l + 23. Let n be z(-19). Suppose 4*v - 2*d = -n, 0*d = -3*d. Which is the nearest to -6? (a) 2 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 2. Let v be y(-3). Suppose -5*s + 2*k = -73, -s + 15 = -4*k + v. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a - a**2 + (-2*a + 2 - 2)*(-a + 3 - 3) + 12*a**2 + 71*a**2 - 10*a**2.\nAnswer: 74*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from incacnaaca.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*l**3*z**2 - 2020*g**3*l**3*z - 19*g**3*l**2*z - 47*g**2*l**2 + l*z**2 wrt l.\nAnswer: -6*g**3*z**2 - 12120*g**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, v: 7}. Give prob of sequence jvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -811 - -1169. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 4\/7 (c) -57 (d) 7 (e) -107 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j - 13. Suppose 5*a - 9 = -4*h - 3, -a - 14 = -3*h. Calculate p(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - -1) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 2. Suppose 27 + 1 = f. Suppose 4*a = 12 + f. Calculate the least common multiple of x(-4) and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 1\/10, -1\/6, -3, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194\/(-42)*-6 + (-14)\/(-49)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**2 + 1141*n - 9785.\nAnswer: (n + 103)*(12*n - 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (442\/130)\/(15\/(-35) + (-81)\/105)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/3 + 1\/1. Suppose -3*x = 2*x - 20. Suppose -20 = -6*g + t*g + 4*y, 24 = 5*g - x*y. Solve 0 = -g*i + 3*i - h + 2, 5*i + 3*h = 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75357\/376785)\/(-1 + (-16)\/(-14))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**7\/630 + 7*o**6\/360 - o**5\/60 - 55*o**4\/72 + 25*o**3\/9 - o**2 - 5*o. Factor u(w).\nAnswer: (w - 2)*(w - 1)*(w + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-204))\/(41\/(-3198)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (80\/(-56))\/(4\/(-14)). Suppose -c + b*c - 12 = 0. Factor -10*f**3 - 7*f**c - 7*f**2 + 21*f**3 - 5*f**2.\nAnswer: 4*f**2*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19c - -131795?\nAnswer: 131964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/17)*s**7)**(1\/45) assuming s is positive.\nAnswer: s**(8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020445 to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/6 in 65\/14, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/6 - 836*h**2. Let f(o) = 451*o**2. Give f(a(u)).\nAnswer: 7216*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 1752030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than or equal to 1448\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 214956?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 20*q**2 - 41*q - 41. Is j(22) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 260 (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -47, 1, 11, 195, 2, 5 in increasing order.\nAnswer: -47, 1, 2, 4, 5, 11, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -21. Let y(g) = 145*g**2 - g. Let p be y(n). Calculate the greatest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102040 + -5?\nAnswer: 102031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36626\/33 + -3337\/3. Find the common denominator of l and (-32)\/(-88) + (-1 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -24*k + 202, 23*x + 31 = 2*k + 22*x + 10 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2323180 divided by -2323180.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27525277 is divided by 9175091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -17 + (154 - 160)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.9 (b) -5 (c) -379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -60*i**2. Let m(z) = -222568*z**2. Give m(w(o)).\nAnswer: -801244800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q. Suppose 5*x + 0*x + 15 = 0, -x = -c + 5. Let f(v) = -269*v - 18*v**c + 269*v. Determine f(b(p)).\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 143809769 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u - 4*w, 10 = u - 3*w - 2*w. Suppose -c - q + 1 + 2 = 0, -q - 1 = u. Find the third derivative of -5*v**3 - 3*v**2 + 5*v**c - 2*v**3 + 7*v**3 wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*z, x - 3*x + 12 = 5*z. Let g(o) = o**3 - 4*o**2 - 4*o - 4. Let s(w) = w**2 + w + 1. Calculate z*s(b) + g(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/42 - 48\/(-7). Let m(x) = 15*x**2 + 73*x - 95. Let c(q) = -8*q**2 - 36*q + 48. Let f(l) = t*c(l) + 4*m(l). Let f(w) = 0. Calculate w.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -175*y + 186*y. Let c(s) be the second derivative of -1\/9*s**3 + 9*s + 1\/36*s**4 + y + 1\/6*s**2. Let c(o) = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q**36))*q**(1\/2)*((q**22*q)\/q)**(-16) assuming q is positive.\nAnswer: q**(-629\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*m + 536 = 0, 342 + 583 = 5*s + 3*m. Let x = s + -119. What is the least common multiple of 24 and x?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 0 + 7*d + 6 + 39*d**2. Let i(b) = -6*b**2 - 51*b + 89. Let k be i(-10). Is c(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*5\/(-15) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119218, 119222, 119228, 119236, 119246, 119258?\nAnswer: 119272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.4 (c) 0.3 (d) -5 (e) -47.17 (f) -2 (g) -28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*n + 22, -3*h = -3*n - n + 10. Suppose -5*d + 10 = -5. Find the first derivative of -r**h + 0 + d*r**2 - 2 wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 3\/(1 - -2). Suppose -5*o + 3*m + 30 = 0, 6*o - 22 = k*o + 2*m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5685.\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 121035 - 37323 = 67*n. Which is greater: 871 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51312?\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*h - 27*h + 63*h.\nAnswer: 101*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 189*w**4 - 9022*w**3 - 8460*w**2 + 17672*w.\nAnswer: -w*(w - 1)*(w + 2)*(w + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010121011 (base 3) to base 11.\nAnswer: 15839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 29*a**2 + 1510*a + 9142. Calculate l(-6).\nAnswer: 1126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 + 76*b**3 - 398*b**2 + 564*b - 243 = 0. What is b?\nAnswer: -81, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 491291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/44 - -1\/440. Let w(k) be the third derivative of m*k**4 + 0*k + 0 - 1\/600*k**6 - 2*k**2 + 0*k**5 - 1\/15*k**3. Factor w(u).\nAnswer: -(u - 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430 divided by -8.\nAnswer: -215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -49*p**3\/2 - 142*p**2 - 63*p - 3. Find the first derivative of c(j) wrt j.\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221 + -10?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-3 - 3 + 3)*(-3*y + 4*y + y + 1)*(2 - 2 + 5).\nAnswer: -30*y - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 3*x**2 - x + 1. Let p(m) = -m**3 - 8*m**2 - 7*m + 1. Let f be p(-7). Let d be u(f). Solve d*a - 25 = -0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.27 take away 476909257?\nAnswer: -476909259.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 - -141. Let f = 59 + t. List the prime factors of (f\/(-3))\/(5 - 11828\/2364).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/25 of a century?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 18*z - 3*z + 54*z - 10*z - 37.\nAnswer: 23*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + 11*n**2 + 2*n + 32. Let a be o(14). What is the tens digit of (-1)\/4 + 0 - a\/(-64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 4. Is 8 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038989 is divided by 38430.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-12)*(-21 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z - 9. Let a(h) be the first derivative of -2*h**3\/3 + 117. Give n(a(m)).\nAnswer: -22*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(10)*-2)\/sqrt(2) + -5 + sqrt(15)\/sqrt(3) + sqrt(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-2)\/19 + (-63)\/(-57))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 190\/(-20))*-7*1998\/(-63) - -11?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2224*d**2 - 60*d**3 + 43*d**3 - 2224*d**2.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1981 + 5?\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 - -15240?\nAnswer: 15213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:03 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - 2*f)*(-f + 2 + 13 - 8).\nAnswer: 3*f**2 - 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - x**3 + 0*x**3 + (2*x**2 + 3*x**2 - 7*x**2)*(x + 0 + 0))*(1 - 4 + 2).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**2\/2 - 11*v + 2. Let j(b) = 2*b**2 + 87*b + 32. Let z be j(-43). Calculate d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 - 5*u**2 - 5*u + 5. Let v(f) be the first derivative of 9*f**4\/2 - 14*f**3\/3 - 7*f**2 + 14*f + 98. Give -14*n(q) + 5*v(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-15)\/160 + 0. Let w = 0.075 + -4.175. Let p = w - 4.9. Which is the smallest value? (a) -2\/5 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 2. Let w be b(-6). Let m be 7 + (w - -2 - -3). Find the second derivative of -k + k**3 + m*k - 3*k**3 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9776359?\nAnswer: 59, 165701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404255.\nAnswer: 3, 5, 179, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62580, -125159, -187738, -250317, -312896, -375475?\n\"Answer: -62579*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 109*z**2 - 155*z + 4635. Give f(110).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*q**2 + 0*q**6 - 4*q**6 + 21*q**2 wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284834 millilitres in litres?\nAnswer: 0.000284834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65721 divided by 28.\nAnswer: 65721\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 268 + 67. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -4426 (c) -7.1 (d) 0.06 (e) 0.4 (f) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one halves of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.5958926 from -192.19.\nAnswer: -190.5941074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/53? (a) 19.1 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p. Let z(t) = 11*t**2 + 10*t + 255. Let v(y) = -18*y**2 - 16*y - 382. Let i(o) = -5*v(o) - 8*z(o). Calculate i(k(q)).\nAnswer: 2*q**2 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j = -47*j - 2910. Suppose 4*g = -0*g - 5*x + 776, -3*g + j = 2*x. What are the prime factors of g?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 928, 1482, 2096, 2770?\nAnswer: 3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142.9606796697 - 0.0392689303. Let i = -143 - b. What is i rounded to six decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.022 and 648.\nAnswer: 14.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 315573475 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771160.\nAnswer: 2, 5, 13, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 310 = 3*d + 65, -4*d + 120 = 2*c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30563, -30557, -30553, -30551, -30551, -30553?\n\"Answer: -f**2 + 9*f - 30571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/17)\/(i\/(i**(-3\/5)*i)*i))**(1\/78))**(10\/11) assuming i is positive.\nAnswer: i**(-146\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -656791, -2627160, -5911109, -10508638, -16419747, -23644436?\n\"Answer: -656790*j**2 + j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(13) - 3*sqrt(117)) + sqrt(13) + -2 + sqrt(52))**2.\nAnswer: 20*sqrt(13) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6535 (base 8) to base 12.\nAnswer: 1b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 306*t - 24*t. Let q = -162\/115 - -60\/23. Let t - q*m + 3\/5*m**2 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12182874 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1252 - 1270 - (-744)\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22281 - 4834. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 17 = -5*y + 4*g, -3*y + 5*g = -17. Suppose -y*h = -1 - 131. What is the highest common factor of 132 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 2*s**2 - 3*s**2 + (-18*s - 73 + 73)*(3*s + 2*s - 4*s) + s**2 - 4*s**2 + s**2 in the form c*s**2 + t*s + o and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*z**2 - 96*z - 33*z**2 + 97*z + 59*z**2 + 13*z**2.\nAnswer: 99*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135986 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1496)\/440 + 2 + (3 - 2). Which is the second biggest value? (a) y (b) 10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 + 86*b**4 + 4*b**2 - 7 wrt b?\nAnswer: 120*b**3 + 2064*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -148b74?\nAnswer: 148b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 41. Solve s + 13 = 2*d - p*s, 0 = d - s - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 86060650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u - u)*(-2*u - 1 + 1) + (0 - 21 - 4)*(4*u + 0*u - u)*(-2*u - 2*u + 3*u) + (3*u - 7*u + 3*u)*(-2*u + 2*u - u).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/6 of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**2 - 30*b - 35 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*p = -3, -3*p + 18 = -2*a + 5*a. Let d(v) = -2*v. Let j be d(-1). Suppose 2*m + a*g + 11 = 0, 14 + 5 = j*m - 3*g. Solve m*i + 8 = -0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2432147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + o**3 + 5*o**3)*((-2 - 3 + 3)*(-3 + 5 + 0) + 3 + 4 - 5 + 9 + 0 - 6)*(0 + 0 - 3).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.594*-12.89.\nAnswer: -201.00666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(0 + sqrt(343)) - sqrt(343) - (sqrt(343) + -1 - sqrt(343))**2*-1) - (-1 + ((sqrt(168)*2)\/(sqrt(6) - sqrt(60)\/(sqrt(10)*-2)))**2).\nAnswer: -21*sqrt(7) - 466\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10.0458836+0.3\nAnswer: 10.3458836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 - (-68 - -126) - (-6 + -86).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/5 (b) 1 (c) 2 (d) -491 (e) -24 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*u - 324 = 0, u + 76 = -4*f + 394. Does 14 divide (1332\/15 + 0)\/(24\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6756, -13511, -20266, -27021, -33776, -40531?\nAnswer: -47286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 8*w + 0 + 1\/2*w**2. Let y(p) = p + 4. Suppose -5*n + 30 = -h + 4, 19 = h + 4*n. Give h*y(r) + 3*x(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*22 - (-26 + 17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Let l be (-17)\/4 - k\/4. Let x = -6.4 + 6. What is the third biggest value in 0, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 5*n - 3. Let d be k(3). Let r be ((d - -4) + 1)*-17. Suppose 14*u + 573 = r*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 7, h: 4, e: 5, n: 1, c: 1}. Give prob of sequence lln.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11650 + -10681. Solve -q*l + 973*l = 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -61, -131, -229?\n\"Answer: -14*z**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(98) + -2 + sqrt(98).\nAnswer: -2 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27213?\nAnswer: 3, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17193 and 16151.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6029.002433 - 6029. What is n rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 28*b - 200. Give a(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1475*t - 5174. What is the tens digit of s(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 15*t - 20. Let x be c(-14). Is (-3 + 3\/(-6))*x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -737 + 756. Suppose -47 = -r*w - 9. Solve -5*t + 1 = b - 28, 3*t - 23 = -w*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/4, 54.1, -2, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((-1200)\/1065) + (-3)\/24*-14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)*(q\/(q\/(q*q**(-2)))*q*q)\/q)\/(q**1)**(2\/49))**(-46) assuming q is positive.\nAnswer: q**(13616\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 67.2. Which is the third smallest value? (a) 1\/11 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i. Let k(o) = o**3 + 3*o**2 - 3*o - 7. Let m be k(-3). Suppose i = -3*j - m*j - 180. What is j rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -70, -93, -126?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/28)\/((-12)\/(-40)). Let q = 104\/21 - l. Determine x so that 0*x + 1\/3*x**3 + 0 + q*x**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 + 2*l**4 - l**4 + (-7*l + 7*l + 5*l**2)*(1 - 2*l**2 - 1) to the form r + f*l**2 + a*l**4 + j*l + p*l**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74316*q + 1 + 74315*q + 23 + 21 - 8.\nAnswer: -q + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.001 + 0.201. Let w = -5 + 4.6. What is the second smallest value in k, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1540*g**2 - 22*g**5 - 3*g**3 - 154*g**5 - 128*g**5 + 50*g**5 - 34*g**5 wrt g.\nAnswer: -17280*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/3 - 5*i**2 - i. Let m be g(-7). Differentiate 2*y**m - 2 + 3 + 1 wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 1\/22, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -9, 0 = 1573*h - 1571*h - 7*w + 29 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14712 - 0?\nAnswer: 14712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6502 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(19)*2 + 1)*1)**2.\nAnswer: -16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 58\/225 (b) 0.2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 50. Let y = l - 5. Suppose y*d - 82 = 133. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -830*o + 58. Let g(m) = 115*m - 8. Let z(a) = -29*g(a) - 4*h(a). Let l(u) = u**2 - 287*u. Determine l(z(v)).\nAnswer: 225*v**2 + 4305*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15888031463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)*(6 - 4). Solve 0 = -a*j + 5*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44066511 (base 7) to base 16\nAnswer: 39b36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4594538862 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.43407 and -0.7.\nAnswer: 4.73407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfvfflsffll. Give prob of picking 1 f and 2 l.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 7. Let u = -2 + 3. Let k be (-4)\/(-6)*(-30)\/u. Let z be (k\/(-6))\/(6\/9). Give w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2. Let h(z) = -19618*z**2. Determine h(v(k)).\nAnswer: -961282*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*o - 4*s + 14, 0 = -3*s. Let p(g) = -32 + 0*g**2 + 5*g**o + g**3 - 6*g - 2*g**2 + 30. Let z(r) = r**2 + 3*r - 2. Let y be z(-2). Calculate p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 51.3.\nAnswer: 205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17)\/(g\/(g*g\/(g\/g**2*g))*g))**19 assuming g is positive.\nAnswer: g**(-38\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 41*m - 73 + 208. Let x = 0.9 + -4.9. Sort 0.2, x, m, 1 in decreasing order.\nAnswer: 1, 0.2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053641745 a multiple of 5174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.32, -72, -12, -4, 0.1?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -1923306?\nAnswer: 17\/1923306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6055*t - 6226*t + 3781 - 13186 = 0 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.073 + 0.073. Which is the nearest to 1? (a) -3\/5 (b) 1\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k**2 + 2*k + 3. Let o be d(-2). Suppose -o*z = -3*c + 66, 0*c = c - 3*z - 18. Let a = c - 6. What is the greatest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 731744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78357 is divided by 617?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let j be p(-3). Solve 2 = -3*z + 2*r + 5, 0 = j*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - 130. Suppose 0*y = -5*y - 25. Let v(t) = 6*t**2 + 5. Let s(z) = 7*z**2 + 6. Give m*v(i) + y*s(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 47*x - 3*x = -18*x + 71 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i - 15. Let o(p) = -74*p - 136. Let y(a) = 4*o(a) - 38*q(a). Let b(f) = -3*f - 9. What is -14*b(u) - 5*y(u)?\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*1)**2*2 - sqrt(171)) + (sqrt(190)\/sqrt(40) - (sqrt(19)*2 + 2)**2).\nAnswer: -21*sqrt(19)\/2 + 1288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -415150 - 3800*x - x**2 + 125483 - 4*x**2 - 432333.\nAnswer: -5*(x + 380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97962 is divided by 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)*1 + sqrt(550) - sqrt(550))\/sqrt(10))\/((sqrt(77)*-2)\/sqrt(7)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*k = 15, -9*b - 21 = -5*k - 48 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 78?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 7*r + 4*r - 60 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1663*x + 1341*x - 1677*x + 1609*x + 1747*x to f*x + o and give f.\nAnswer: 4683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2426, -41, -3\/4?\nAnswer: -2426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**2\/2 + 2. Let c(l) = 11*l + 1. Let n(w) = c(w) - 4*j(w). Let x be n(1). What is the highest common divisor of 40 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2316 or -2313?\nAnswer: -2313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/(-1*(-12)\/9).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22574 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0409 * 30504.\nAnswer: -1247.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m + 8. Suppose -5*w = -3*q - 3 - m, -q - w = -9. Solve 2*u - 3 + 12 = -p, -2*u = -q*p + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/((-50512)\/82))\/(-2*(-4)\/(-7)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**8\/840 - l**6\/72 + 5*l**3\/6 - 5*l**2. Let j(o) be the first derivative of i(o). Find the third derivative of j(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-3) + 3)*18\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38209586.\nAnswer: 2, 241, 79273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 3*f**2 + 3*f. Let b(t) = 2*t**3 - 2*t**2 - 2*t. Suppose 0*y = 5*y + 3*n - 10, 4*y - 8 = -n. Let k be -3*y\/12*-4. What is k*h(u) + 3*b(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-96)*((-4)\/((-44)\/(-11)))\/((-2)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Differentiate 5*m - 5*m - 3 + 2*m**d wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/32)\/(9\/4)*-1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 5, -0.5, 79\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -71426.8 * 0.1\nAnswer: -7142.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 1, 0.1, -0.5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35176440*q**6 + 2*q**2 + 4851787*q.\nAnswer: 4221172800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 16359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)*((m\/m**(-7\/3))\/m)\/m)**(-17) assuming m is positive.\nAnswer: m**(-187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30448 or -30443?\nAnswer: -30448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4664.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 195, 246, 349, 522, 783?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -4, -2\/11, 10 in descending order.\nAnswer: 10, 2, -2\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-2*s + 0*s + 0*s) + s + s - 3*s - 3*s - 2*s + 4*s - 5*s - 5*s + 0*s + 9 + 0*s + s - 43.\nAnswer: -7*s - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 6*s - 36. Calculate t(-16).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 63*x + 388. Calculate v(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 42*u**2 + 82*u - 80. Let f be r(40). Solve -t - 13 + 15 = f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((-10)\/(-80)*4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)\/z**(-1\/2)*(z**(1\/4)*z)\/z**(-1\/2)*z**(-1\/2)*z*z\/(z**(-1)*z)*z**(-4)*z**0 assuming z is positive.\nAnswer: z**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -502 by 1.\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -203 - 37f?\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*l - 2, -4*l - 4*g = 2 - 10. Solve -2*r + l = 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8491899?\nAnswer: 3, 13, 23, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5 - 9) + (5 + -8 - -9 - -104).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 2.9. Let o = v + -4. Let x = -1.0064 - o. What is x rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.1 - 0.9. Are 2 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**7*r)*r*r*r**(2\/11))\/((r\/(r**(5\/2)*r*r))\/r**(-9)) assuming r is positive.\nAnswer: r**(-227\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4312800 to the nearest 10000.\nAnswer: -4310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 104506225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-23)\/(-5). Suppose f*z + 5*x = -5, 1 + 0 = 5*z + 3*x. Solve 8 = -z*y - 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 11:57 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 8. Is 2 a factor of p + (0 - -1) + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142.5 + -117. Let l = 25 - p. Sort 3, -1, l.\nAnswer: -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2584280 and 0.2421.\nAnswer: 2584280.2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1200, 4, 2, -45 in descending order.\nAnswer: 4, 2, -45, -1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3328)*-2)\/(sqrt(576) + (sqrt(576) + sqrt(576)*3 - sqrt(576))*-3 + sqrt(576) - sqrt(576)) + -2.\nAnswer: -2 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/18*(2 + 1). Let u(j) = -j**2 + 10*j. Let b(c) = -c**2 + 1. Let s(f) = 2*b(f) - u(f). Calculate the remainder when 3 is divided by s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6872, 6846, 6804, 6746, 6672, 6582?\nAnswer: 6476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 23819652*p**3 + 70921691838738*p**2 - 1702130894233200*p + 10212805945620000.\nAnswer: 2*(p - 12)**2*(p + 5954925)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -6478961?\nAnswer: 6478956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (4 + 28\/(-8)). Let z(l) be the first derivative of l**2 + 10\/9*l**3 - 3 - 2\/3*l - 8\/15*l**5 - x*l**4. Determine f so that z(f) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 11. Let k = d + 2. Suppose -3*u = 4*b - k, -u = 2*b - 4 - 2. Solve 3*z - 13 = -2*y - 3, 2*y = b*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/509 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29399493.\nAnswer: 3, 9799831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.64? (a) 0.2 (b) 0.4 (c) 0.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**3 + 6*x + 6. Let o(c) = -c**3 - 6*c**2 - 5*c - 6. Let s be o(-5). Let l(n) = 6*n**3 - 5*n - 5. Determine s*l(p) - 5*h(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7221, 7219, 7217, 7215?\n\"Answer: -2*d + 7223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*g = -93443. Suppose -4*x - x = 5*u + 22245, -3*u = x + g. What is u rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 56*g - 379. Determine b(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/10)\/((-21)\/(225 + -15)). Factor 8\/15*n - 2\/5*n**3 - 8\/15*n**v + 2\/15*n**5 + 4\/15*n**4 + 0.\nAnswer: 2*n*(n - 1)**2*(n + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 3206 + 1006 = 0. Calculate the remainder when 1054 is divided by o.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 j when three letters picked without replacement from hjjh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18967 is divided by 3155?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. Let d be (b\/(-3))\/((-2)\/(-18)). What is the derivative of 2*z**d - 5*z**3 + 0 - 1 + z**3 wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35292695 to the power of 1\/2, to the nearest integer?\nAnswer: 5941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000111010101010111 (base 2) in base 10?\nAnswer: 1602903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -917 - -1308. List the prime factors of c.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + x**4 + x**4 + (2*x - x + x)*(53*x**3 + 53*x**2 - 53*x**2) as b*x + g*x**2 + d*x**4 + j*x**3 + z and give d.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Suppose 9*z - 13*z - 16 = 0. Let s be z\/18 - 700\/(-1125). What is the second smallest value in s, 0, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = 4*g + 66, g = 3*d - 22. Let c = g + 17. Is 17 a factor of ((-336)\/35)\/(c\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -4 + -44 - -20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20693949*r**4*s**3 + 498*s**3 + 30465 wrt r?\nAnswer: 82775796*r**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c = -100*c - 1920. Sort c, 2, 6 in decreasing order.\nAnswer: 6, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1550, 3204, 4858, 6512, 8166?\n\"Answer: 1654*m - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(2448) + 4 + sqrt(51)\/sqrt(3)))**2 - (2 + -3*(sqrt(153) + 0))**2.\nAnswer: -6588*sqrt(17) + 322943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - ((-2 - 0) + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 47*b**2 - 132*b - 5265. Determine q(-47).\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2.2. Let y = x + -0.218. Round y to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - -2) - (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 26*g = 18*g - 35, 0 = 3*f + 3*g + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:24 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 829109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 29663?\nAnswer: 7\/29663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14052672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, 16, -34025 in decreasing order.\nAnswer: 16, 4, -1\/3, -34025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*i**3 - 795*i**2 - 160*i**2 - 21*i**4 + 1 - 104*i**3 - 69*i**3 wrt i.\nAnswer: -504*i - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3803\/262 + 29\/2. What is the third biggest value in 2\/11, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 18*r**3 - 26*r**2 - 90*r + 100.\nAnswer: -2*(r - 5)**2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -5*f**3\/3 + 3*f**2 + 4*f + 2783. Let j(y) = -4*y**2 + 7*y + 5. Calculate 4*j(g) - 5*p(g).\nAnswer: 9*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-20)*5\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57, 56, 51, 42?\n\"Answer: -2*t**2 + 5*t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 + 2*f**4 + (2 + f**3 - 2)*(3*f - 4*f + 0*f) - 6*f**4 + f**4 + 3*f**4)*(1047 + 21*f - 1047).\nAnswer: -21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2756322362 to the nearest integer?\nAnswer: 52501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199 + 2?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7 - 2 = 0. Which is the second smallest value? (a) f (b) 0 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0*y**2 - 32*y - 1 + 0*y**4 + 0*y**6 + 1\/4*y**5 + 76\/3*y**3 - 1\/21*y**7. Find the second derivative of h(s) wrt s.\nAnswer: -40*s**3 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138213737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -328586763 - -328555858.99896. Let y = 30902 + a. Let s = 2 + y. Round s to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42091716 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -365608 divided by -846\nAnswer: 182804\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1035 + -207. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/68 - -19\/136. What is the closest to 2 in -36, 4\/5, g?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -649, -1121, -1721, -2449, -3305?\nAnswer: -4289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/8 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*2\/(3 + 1). Suppose -13 = -j*u + 11. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -131. Suppose -57 = -r*k - 47. Solve 2*g - 7*g = -3*o - 9, -6 = -k*g + 2*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-15) + (-9)\/(-5). Let m be 2 - (1 - i - -3). Suppose 0 = l - m*l - 23. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (11 + -5)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2602 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {i: 4, u: 2, f: 3, h: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 9524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:14 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 6. Suppose -3*v = v - h. Suppose u + 4 = v*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((0 - (-6)\/(-4))\/12). Let p be h\/(-224)*-8*-2. Which is the second smallest value? (a) p (b) 8\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o = 24*o + 129 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3287, 800, -1687, -4174?\n\"Answer: -2487*u + 5774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*q - 46*q + 14*q)*(0 - 1 + 6 + (0 + 2 - 3)*(3 - 5 + 3) - 3 + 0 + 2 - 5 + 2 + 2)*(-2 + 3 + 1) in the form j + f*q and give f.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-111)\/11655*21 + 6\/28.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*c - 76*c + 414 = 57*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415532485.\nAnswer: 5, 2393, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/45 - (-6)\/(-27). Let c = 20627\/206230 + -2\/103115. Sort c, i, -1\/5, 0.\nAnswer: i, -1\/5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -q + 241. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 789510*f**3 - 169183*f?\nAnswer: 4737060*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 863?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(0*k**3 - 75*k + 3*k**3 - 2*k**3).\nAnswer: -2*k**3 + 150*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -779, -781, -799, -839, -907?\n\"Answer: -p**3 - 2*p**2 + 11*p - 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - a - 4*a)*(227*a + 170*a - 468*a) as z*a + r + w*a**2 and give w.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.2, 0.6, -98, 3 in descending order.\nAnswer: 3, 0.6, 1\/2, 0.2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15576)\/(-767))\/66)\/((-1)\/(-2)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/81 or 20.3456?\nAnswer: 20.3456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -96.9 bigger than -6.6546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 4929.\nAnswer: 1\/1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 2090924?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -923178 divided by -2\nAnswer: 461589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*(sqrt(75) - (sqrt(75)*-1 - sqrt(75))))\/((sqrt(5) - sqrt(80))*4))\/((sqrt(25) + -1*sqrt(625))\/((sqrt(5) + sqrt(20))*3)).\nAnswer: -9*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**4)*c\/c**10)\/(c*(c**0*c)\/c)**(-4\/11))**(1\/3) assuming c is positive.\nAnswer: c**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 218*v**2 - 3*v - 173*v**2 + v)*(0*v**2 + 2*v**2 - 3*v**2) in the form y*v**3 + t + z*v**2 + x*v**4 + d*v and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-5 - 7) - 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 655, 2, -14 in descending order.\nAnswer: 655, 4, 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3324669 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 63, 235, 521, 921, 1435, 2063, 2805?\n\"Answer: 57*s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29129*i**4 + i**3 + 3*i**2 - 2*i + 76.\nAnswer: -699096*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204 + 207. Let t(z) = 2*z**2 - 3. Let b(q) = 3*q**2 - 5. Let y(g) = a*b(g) - 5*t(g). Let r(w) = -43*w**2. Give r(y(c)).\nAnswer: -43*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:56 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p**2. Let n(d) be the first derivative of -d**2\/2 - 984. Let k(y) = y. Let w be (-4)\/(-18) - (-25)\/9. Let q(z) = w*n(z) + 2*k(z). Give q(g(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435861?\nAnswer: 3, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213 and 17182?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2405 (base 6) to base 10\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 36620389244 - 36620389244 + 6*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4 + 2. Let v be (-2)\/((0 + m)\/(-4)). Let x be (-330)\/(-88)*(2 + 2). Solve -3*a - x = h, v*h = 4*a + h + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7548 and 1812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 34*q - 189. Calculate the least common multiple of 3 and a(6).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 8*b**2 + 7*b + 3. Let u(o) be the second derivative of o**5\/20 + 5*o**4\/4 + 8*o**3\/3 + 10*o**2 + 6*o. Let s be u(-14). Is m(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 25, 83, 189, 355?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28168 (base 10) to base 9\nAnswer: 42567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d = 171*d + 1036 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 189*d**2 + 11 + 4*d - 5. Let v(o) = 379*o**2 + o - 13. Let y(b) = -7*f(b) - 3*v(b). List the prime factors of y(-1).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -24*z + 19*z + p, -5*p + 5 = 0. Solve z = 6*o - 24*o - 54 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 60 = 3*c, -c = -4*c - 3*p - 66. Let j = -13 - c. Let f(b) = 3*b**2 - 64*b - 8144. Let x be f(64). What is the highest common factor of x and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 373.284 and 2439.8.\nAnswer: 2813.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 10*q + 1. Let g be f(10). Suppose 5*a = 26 - g. Let x(y) = 3*y**2 + 2*y. Is x(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 4704.\nAnswer: 51744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -4, 0.1, -64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/36*1*486\/(-216)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1202 minus 0.2?\nAnswer: -0.3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k + 2. Let x(d) = -30*d - 89. Give 5*s(n) + x(n).\nAnswer: -5*n - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*r + 70. What is the highest common divisor of r and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 55 = 4*a. What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = 0. Suppose t = -0*q - q. Suppose q = -2*m - m + 36. Calculate the greatest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from hhhgbohoobghgghhhboh.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35636 and 472.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by 9206.\nAnswer: -165\/9206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 4. Let r(b) = -b**2 - 14*b + 9. Let u be r(-15). Sort u, 5, c in descending order.\nAnswer: 5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 6*d - 3. Let k be w(5). Let m be (-6)\/(-24) + (-78)\/k. Suppose 3*n - m = -2*n. Solve -n*h = h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 24 = -5*z + c, -3*z - 4 = 4*c. Which is bigger: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 1 + v**3 + 2*v**3 + v**2 - 11*v**3 - 12*v**3. Let f be ((-8)\/(-3))\/(1352\/(-507)). Give p(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14)*(-113)\/(-2373)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -136632\/29, -5, 0 in descending order.\nAnswer: 0, -5, -136632\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - (34 - 68 - -80)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 415*-0.1\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqdq when four letters picked without replacement from {g: 6, d: 2, r: 2, q: 9}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 9 + 20 + (3 - 3 + 1)*(1 - 1 - 2) + 3 + 4 - 2 - 2 - 3 + 3)*(2 + 0 + 1 - t).\nAnswer: -25*t + 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 52. What is the third smallest value in -4, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, 6, -279, -9, 7 in descending order.\nAnswer: 7, 6, -1, -9, -13, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21114342 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - b = -g + 257, 0 = -2*g - b + 168. Calculate the remainder when g is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2784.054 - -2803. Let p = -27 - -46. Let s = o - p. Round s to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149*j**2*r - 36160*j**2 - j*r - 150677526*r wrt j.\nAnswer: 298*j*r - 72320*j - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, 8, -2\/5 in decreasing order.\nAnswer: 8, -0.2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10002311 - 111?\nAnswer: 10002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - 2) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*h**2*u - 15*h**2*y**2 - 164*h**2*y + 92*h*u*y**2 + 126*h*u*y + 416*u*y**2 - 7*u*y wrt y.\nAnswer: -30*h**2 + 184*h*u + 832*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375082?\nAnswer: 2, 167, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -38. Suppose -3*t - 2*c = -4*c - n, -5*c + 21 = 4*t. Solve -5*g = -8*g + t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510 (base 16) to base 11.\nAnswer: a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {o: 3, t: 1, n: 1, r: 2, c: 9, a: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y + 5. Let j(t) be the second derivative of -59*t + 0 - 3*t**2 + 5\/6*t**3. What is 3*j(c) + 4*r(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*k**6 - 3*k**4 + k**3 + k**2 + 44*k - 36 wrt k?\nAnswer: 8760*k**3 - 72*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32414.9897599 + -0.1272401. Let q = -32358.1169965 - c. Let p = q + -57. Round p to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506155211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1264 + 603.1264. Let x = 603.00711 - h. Round x to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 0*v**2 - 3*v - 4\/3*v**3 + 5. Differentiate n(t) with respect to t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*s**3 - 5\/7*s**2 + 1\/7*s**5 + 0*s + 0 + 5\/7*s**4 = 0 for s.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55138039 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 19 = 2*d - 23, d = -2*i + 17. Let z(u) = 2*u - 9. Let c be z(i). Suppose c*s - 2*s - 35 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -27. Suppose 17*r - o = 12*r. Put r, -2, -10 in descending order.\nAnswer: r, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/63393 and 43\/13447.\nAnswer: 443751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 5*k - 2, -5*k - 10 = 0. What is the least common multiple of 5 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/62 and 81\/26.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 634)*((-2)\/(-40) + 0) + (-6)\/(-20)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a factor of 1985368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93975, 93966, 93957?\nAnswer: 93948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 6010 - 5568 = -4*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 + 166. Let w(d) = 7*d + 41. Let v be w(-4). Solve 4*b = -v + z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10098*l**4 + 3*l**2 + 16623?\nAnswer: 40392*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 774.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337464707?\nAnswer: 3337464707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:28 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:19 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40947356 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 12:32 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -376, -556, -722, -868, -988, -1076, -1126?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 2. Let d be s(5). Suppose 0 = -5*y + 9*y + d. Let n = y - -22. Solve t = 2*r + 4, -5*t + 4*r = -r - n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -32 + 134 + -140.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 7*z**2 - 6*z - 13. Let m be d(8). Let -3*h + 415*h**3 + 12*h**2 - h**4 + 13*h**4 - 433*h**3 - m*h**5 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 3*r + 30. Is a(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*(-9)\/(-36))\/(2\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 450 - 453 = -x, j - 5*x = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 442 - 312. Let j be (-37)\/(128\/v - 1). Suppose -2*f + 3*w = -943, 0 = 5*f + w + w - j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 1 + 0*s**3 + 1 + s**3 + s. Let p be g(5). Suppose -15 - 10 = 5*h, -5*r = -p*h - 350. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -1114531?\nAnswer: 1114521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -40.5. Let s = 9533\/18 + -530. Let c = 1\/18 + s. Sort v, -2, c in decreasing order.\nAnswer: c, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7671*p + 6378*p + 2888*p + 5248*p - 12507 - 14225*p wrt p.\nAnswer: 7960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 5\/99?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a. Let o(d) = 4*d. Let p(j) = 2*j. Let h be p(3). Suppose -6 = -l - 2*y, -h*l + 30 = -l + y. Calculate l*s(m) - 5*o(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75526 is divided by 84.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4279788389?\nAnswer: 401, 10672789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 12. Suppose -21*c - 33 = -18*c. Let s be m(c). Is s > 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/65))\/(q\/(q**(-14)*q)))\/(q*q**(-9)*(q\/q**(-3\/8))\/q*q) assuming q is positive.\nAnswer: q**(-3331\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/24 + 3*f**2. Let h be r(-1). What is the units digit of h - (-1)\/(3\/27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:46 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 3:39 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - u)*(4*u + u - 3*u) - 14 + 7*u**2 + 14)*(-3*u + u + 3*u)*((1 + 0 + 1)*(2*u + 0*u - 3*u) - 13*u + 0*u + 20*u).\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3051152 (base 7) to base 12\nAnswer: 157545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2491 and 6.\nAnswer: 14946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 702 + -642. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14791 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 311374692 - 311377381.02129. Let r = u - -2689. Let b = 0.022 + r. Round b to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 11*w + 3672. List the prime factors of 2\/(6\/w*8).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-2 - -3) + -211 + 210.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9985 at least as big as 9986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 + -69. Suppose g - t = 272. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 531 and -19070.\nAnswer: -10126170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 2*h**2 + 6*h + 5*h**2 - 4 + h**3. List the prime factors of y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398115 by 9.\nAnswer: -44235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13084466657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -1 + 4\/3*q**3 - 4*q + 0*q**2 + 1\/4*q**4. What is m(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2\/2 - 5*s + 2751. Let h(i) = 3*i + 11. What is -3*h(t) - 7*r(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 20 + 13)*(-2*f**5 + 0*f**3 + 0*f**3).\nAnswer: 50*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85978, 85987, 86008, 86047, 86110, 86203, 86332, 86503?\n\"Answer: t**3 + 2*t + 85975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243585817?\nAnswer: 31, 7857607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1724.7 - 58.3. Let y = b - -1782.98849. What is y rounded to four dps?\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (220\/60)\/(8\/(-12))*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 17 + 5)*(-2*c - 2*c + 3*c)*(3*c**2 - 2*c**3 - 3*c**2)*(3 + 1 - 2) as d*c + h*c**3 + p*c**4 + z + w*c**2 and give p.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - 2) + -340 + 356.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4004 divided by -154\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01488 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3594997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33441, -66953, -100463, -133971?\n\"Answer: y**2 - 33515*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 856 and 272743?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-15) + (-14)\/(-6). Differentiate 4*b**2 + 1 - l*b**2 - 4 - 3*b**2 wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 2\/9, 1\/2, -2, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92960109, 185920218, 278880327, 371840436, 464800545?\n\"Answer: 92960109*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1262127 - -0.0212686704.\nAnswer: -1262126.9787313296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 0. Let f be ((-38)\/4 - -9)\/2. Which is the second smallest value? (a) t (b) -5 (c) f (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6671, -6663, -6659, -6659, -6663?\n\"Answer: -2*r**2 + 14*r - 6683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 0.6. What is the closest to 0.1 in q, 5, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1647*v**2. Let d(h) = -21*h. What is i(d(n))?\nAnswer: 726327*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4. Let h(x) = -845*x + 40. Let z(i) = -10*d(i) - h(i). Let k(q) = 2*q. Calculate z(k(b)).\nAnswer: 1690*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, g: 4, p: 3, h: 10}. What is prob of picking 3 a?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/2)\/3 + (-78)\/(-13). Suppose 8*k = -n*k + 95029. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 25*v**2 - 32*v - 60. Let o be p(-26). Calculate the highest common factor of o and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 168*x - 15667. Determine a(94).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 2*j**2 - j. Let y(x) = x**2 - x + 1. Give g(n) - y(n).\nAnswer: 2*n**3 - 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = -45. Let y = 60 - j. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Suppose -4 = -h + 1, r + 2*h - 10 = 0. Sort 4, r, f in increasing order.\nAnswer: f, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3410732*f**3 - 1383*f - 3021.\nAnswer: -20464392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2620926 and 4074.\nAnswer: 254229822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02361238 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 + 0.04. Which is the second biggest value? (a) r (b) 1 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 20*a + 26. Let c be m(-21). Let r be 221 - (-2 + c)*-1. Suppose h - 5*h = -r. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4575 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*r - 0*l + 2*l, -l = -5*r + 9. Suppose -r*m - m + 9 = 0. Solve -m*n + 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkppthknb. What is prob of picking 1 h and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174509396.\nAnswer: 2, 149, 292801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 518447.8 or -0.94?\nAnswer: 518447.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740*s**3 - 1312*s**3 - 539*s**3 - 1683*s**3 - 830*s**3 - 543*s**3.\nAnswer: -4167*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16667*d**3 - 380*d + 380*d.\nAnswer: -16667*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, 4, -58, 115 in decreasing order.\nAnswer: 115, 13, 4, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2126*k + 9670?\nAnswer: -2126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -4*g**3\/3 + 7*g**2\/2 + 2. What is the second derivative of c(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 45. Let o = 17.5 + a. Sort -0.3, 0, -11, o in ascending order.\nAnswer: -11, -0.3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5859071100.\nAnswer: 2, 3, 5, 6510079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270444046 - -2?\nAnswer: -270444044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + (-5 - 1 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(380) - (3*-2*sqrt(380) + sqrt(380))) + sqrt(380))\/(sqrt(30)\/(-2*sqrt(3)) + sqrt(10)))\/(sqrt(14)\/sqrt(7)*5 + sqrt(98)*-1).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*u + 6. Let f be 9 - (-2)\/3*-3. Let y = f - u. Put -5, 2, y in descending order.\nAnswer: y, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-15)\/(-10))\/((-27)\/6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -26 + (14 - 15 - -6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12539, -25080, -37623, -50168, -62715?\n\"Answer: -x**2 - 12538*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/26160277 and 34\/11.\nAnswer: 26160277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3356.99828 to the nearest ten.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91713438.\nAnswer: 2, 3, 31, 54787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3607.\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3657026 by -5.\nAnswer: -3657026\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 1, h: 1, t: 7}. What is prob of picking 2 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 13 = 2*r - 5*u, -7 = -2*r + 3*u. Suppose -4*g + 9 = 5. Let z = g - r. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.7 + 15.7. Sort t, 0.3, 0.03 in descending order.\nAnswer: t, 0.3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5229875 and -3893.\nAnswer: 5225982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {o: 2, t: 6, e: 3, i: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*w - 176*w = -1419489. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31878932*u**4 + 14302*u**2 + 18*u - 13 wrt u?\nAnswer: 765094368*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let r(l) = 3*l**2 + 85*l - 85*l. Determine r(x(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79520 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - 2*u + 2*u)*(9 + 1 + 2).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19669.1933 rounded to the nearest integer?\nAnswer: 19669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1108077196 and 0.\nAnswer: 1108077196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 5*c - 4. Let q be j(-5). Let w = 30 + -26. Suppose -6 = -2*y - 3*p + 12, 10 = -2*y + w*p. Calculate the greatest common factor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 32*y - 26. Let q be w(20). Suppose 4*g - 4*f = 174 + q, -2*f + 376 = 4*g. List the prime factors of g.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -38. Let s = 403\/27 - f. Are 1 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1742 - -2417. Calculate the highest common factor of 50 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z**2 - 39*z**2 + 7*z - 8*z**3.\nAnswer: -8*z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*u - 24 = 0, -a - 1 - 4 = -2*u. Let f be 4*(0 + 7) - a. Let r be (-210)\/140*200\/(-6). Calculate the greatest common divisor of f and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218.3751 rounded to the nearest integer?\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-4 + 2) - (1429 + -1460)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/40 and -15\/1928.\nAnswer: 9640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10) + 752685\/(-41700))*32\/(-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - k**4 - 2*k**4)*(-20 + 20 - 17*k) + (2*k**3 - 4*k**2 + 4*k**2)*(-k**2 + 3*k**2 - 4*k**2).\nAnswer: 81*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 - 158. Let a(r) be the second derivative of 0*r**2 + 0*r**4 - 2\/15*r**6 + 5*r + 0*r**5 - 2\/3*r**3 + l. Find the second derivative of a(h) wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1728 and 4797.\nAnswer: 8289216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -6\/5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -50*k - 52. Let w be g(-8). Suppose -380*c + 376*c + w = 0. What is the remainder when c is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*r**3 + 115*r**3 - 26*r**3 + 9.\nAnswer: -15*r**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:10 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 + 8*i - 8. Let z = 22 + -19. Suppose z*h - 35 = -2*h. Is 12 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 74*r - 324. Is p(19) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k + 1. Suppose 3*d - 9 = 0, 6*y - 4*y = -2*d. Determine o(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 77867 = 39*q + 77996, d = -2*q - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281521474 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - -2) + -102 + -16.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 61650 divided by 12330\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37562 is divided by 202?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3455*-3.\nAnswer: -1.0365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*w**2 - 192*w**3 + 204*w**3 - 411*w**2 + 1.\nAnswer: 12*w**3 - 358*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((-36)\/(-8))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 - q - 1. Let r be l(-6). Let f = r - 3. Let j(t) = -t**2 + 3*t + 2. Let n be j(3). Solve 0 - f = n*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - 11\/4. Let a(x) = -10*x**3 + 26*x. Let b = 9 + -77. Let q be (3 + -1 + 2)\/((-17)\/b). Let m(y) = -2*y**3 + 5*y. What is q*m(r) + u*a(r)?\nAnswer: -2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/14)\/((-1614)\/(-5649)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(14\/(-1)))\/((-1)\/6). Let v be (-4)\/(-16) + 332\/16*f. Let p = -1115\/18 - v. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 523, 0 in decreasing order.\nAnswer: 523, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 19*a**2 - 20*a - 37. Calculate b(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12880 and 100739632.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-45 - -39 - (0 - 1 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000079671 rounded to seven decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 23 + 16*b**2 - 15.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008393130872 to four dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27746979 by 9248993.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a - 10. Suppose g - a*f + 2 = -3*f, -2*g = 5*f - 5. Let u = 114.06 - 114. Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uppjuupjuuujupup?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 21 = i, 20*f + 4*i = 14*f + 44 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 30 - 96)*(2 - 3*m + 2*m + 0*m)*(4*m**2 + 2*m - 2*m**2 + 0*m**2).\nAnswer: 248*m**3 - 248*m**2 - 496*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(((m*m**(-3))\/m)\/m)\/m)\/m**(1\/15)*(m\/m**(-1))**(-1\/47))\/((m**(-2\/5)*m)**(2\/31)\/(m\/(m**(2\/7)*m)*m*(m*m**(-7))\/m*m)) assuming m is positive.\nAnswer: m**(-1443206\/152985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361127279 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1019, 1016, 1013?\n\"Answer: -3*b + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*v - 3726 = -509*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121958 is divided by 17401?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3*t + 2*t + 6, -4*q + 2*t - 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**2 + 5*c - 6. Suppose 2*k + r - 12 = 0, r + 8 = -k - 3*r. Let g(a) = 7*a**2 - 3*a + 4. What is k*g(i) + 5*j(i)?\nAnswer: i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2394.3935\nAnswer: -4788.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35601917 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11458 is divided by 1621?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1167 - -101528\/87. Is 1 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17168460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:08 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36\/5 (b) -0.04 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5413039, -5413025, -5413011, -5412997, -5412983, -5412969?\nAnswer: -5412955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.7. Which is the nearest to 0.1? (a) d (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82.27 + -82.07. What is the nearest to -0.2 in 0.015, -4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 6 - 6 + 0.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(2057)) + -1.\nAnswer: -1 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6168 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -4\/3*l**3 + 4*l**2 + 0 + 1\/12*l**4 - l. What is g(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2. Let n be (-23 + 24)\/((6\/(-4))\/(-3)). Let h(i) = i**2 + i + 1. Calculate n*z(m) - h(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 202500 < 202597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/43))**(-27) assuming g is positive.\nAnswer: g**(54\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 28204.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 - 316*a**4 + 29336*a**3 - 275536*a**2 - 6593824*a - 6288640 = 0. Calculate a.\nAnswer: -136, -10, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 - p**2 + 2*p**2)*(2 + 4*p + 6*p - 8*p + 2*p**2) + 3*p**4 + 3*p**4 + 0*p**4 to t + u*p + v*p**3 + h*p**2 + d*p**4 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*u**4 - 2*c**2*u + 88*c**2 - 21*u**3 with respect to u.\nAnswer: 4*c**2*u**3 - 2*c**2 - 63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.04371ns to minutes.\nAnswer: 0.0000000005007285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -1341, -3012, -5351, -8358, -12033?\nAnswer: -16376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-10))\/(-8 + 18322\/2290)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 30*b**2 + 2*b. Suppose 8*f + 52 - 76 = 0. Let j(x) = -8*x + 3*x**2 - 9*x + 14*x + f*x. What is j(l(n))?\nAnswer: 2700*n**4 + 360*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 38*z + 1. Let r be l(2). Let w = -233\/3 + r. Let g = 66 + -200\/3. Which is the nearest to g? (a) w (b) 8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 3. Let d(z) = 22*z - 10. Determine 4*d(b) + 14*g(b).\nAnswer: -10*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 199*u + 3 - 39*u - 2 - u + 2 + (2 - 2 - u)*(-3 - 3 + 4).\nAnswer: -237*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/24 and -141\/560.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -78, -99, -120, -141, -162?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 3927364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 24 = -5*a, -87883*a + 87888*a = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/12 + (-30 - -34)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*m - 6107200*k**2 + 1173*k*m + 1112*k wrt k?\nAnswer: -4*m - 12214400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03708 to three decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 610 (c) -1\/4 (d) -5 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6066*l - 90992. Calculate a(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.88 + -36. Put 2, 3, 4, s in increasing order.\nAnswer: s, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80555705 + -80555722.6999901. Let s = l - -17.7. What is s rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 6*w + 3. Suppose -5*y - 32 + 7 = 0. Let x be (-2)\/y + (-126)\/(-35). Calculate o(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3216 and -6.\nAnswer: 19296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33398 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6219523252 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 17552164.\nAnswer: 1\/8776082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-3) + 9\/(-27). Let f = 0 - s. Suppose 5*j - 2*l + 0*l = f, 4*l + 16 = 0. Is -3 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3*h - 3 = 8*n, 0 = -2*h + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 315*j. Let c(f) = 247416*f**2 - 123706*f**2 - 123707*f**2. Give k(c(h)).\nAnswer: 945*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 22*o**2 - 264*o - 1548. What is the remainder when w(-6) is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2871.6741 minutes?\nAnswer: 1.994218125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*1336\/6179.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19313, 19303, 19283, 19253, 19213, 19163?\nAnswer: 19103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 425 and 6925?\nAnswer: 117725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmuhljhy. What is prob of sequence llyu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 1 + 1)*(0 - 5 + 3) - q - 2*q - q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 = 3*q - 5*s - 1, -2*q = -3*s - 510. What are the prime factors of q?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.15507 micrograms to milligrams.\nAnswer: 0.01315507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111920*d**2 - 681*d - 149154157?\nAnswer: 223840*d - 681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2387132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 4, x: 3, r: 2}. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34544849.2 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 22 = -2*w, w - 2*g - 11 = 3. Suppose w = q - 6*q. Let l = 283 + -284. Is l less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 5*s + s)*(-2 + 0 + 1 + (-1 + 4 - 1)*(1 - 3 + 0))*(9 - 17 + 12).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 77.9. Let l = 1.25 + -1.3. Let s = -2.05 - l. What is the closest to -0.1 in n, 1\/4, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 5*w - 1038 + 1099, 3*w - 18 = -2*w + 3*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 22 = -16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5018.3 to the nearest ten.\nAnswer: -5020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.662 - -0.61. Let j = 3.948 - l. Which is the nearest to -1? (a) j (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 3.9 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 5 - (sqrt(3)*-1)**2*-5.\nAnswer: 4*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149009353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/7, -0.2, 0.12, -21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*g + 3 = 0, 3*s - 5*s + 15 = -3*g. Suppose -27 = 2*r + 5*h, s*r + 20 + 30 = 2*h. What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 2*t**7\/105 - 2*t**5\/15 - 5*t**2. Find the third derivative of z(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.00356 - 70. What is w rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-3))\/(-3)*-9. Put -2\/3, j, 0.1 in descending order.\nAnswer: 0.1, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + t - t)*((5 - 6 - 1)*(-4 - 2 + 4) - 4 + 1 + 1)*(0*t**3 + 3*t**3 - t**3) in the form h*t**4 + b*t**2 + r + u*t**3 + z*t and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(26) - sqrt(26)) + sqrt(26))*-4 + sqrt(234)*3)\/(sqrt(2) + sqrt(200)*-1 - sqrt(128)*2).\nAnswer: -17*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 43 + 1*-4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25763 is divided by 1184.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 3143778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-2*j**3 - 4*j**3 + 5*j**3) - 3 + 3 - j**3 + j - 2*j - j**3 + 15*j.\nAnswer: -3*j**3 + 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((23 - -12) + 3 - (-2 - -1)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*d + 4*m = 4, -4*m - 20 = m for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 11*l - 5*a, 3*l + 25*a - 6 = 24*a. Which is smaller: 31\/380 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*c**2 - 277*c**2 + 142*c**4 + 811*c**4 wrt c.\nAnswer: 22872*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o + 5. Suppose -2 = -m + 1. Let p(c) = m - 2*c + 1 - 5*c. Let g = 8271 - 8265. What is g*j(z) - 7*p(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 693283 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1510.9 - -1513. Which is the fourth smallest value? (a) 27 (b) 2 (c) -1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from ezolol.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(2057)*1 + sqrt(2057) + 4 + (sqrt(136) - ((sqrt(136) - -1*sqrt(136))*2 - sqrt(136)) - sqrt(136))\/((sqrt(32) - sqrt(32)*-2)\/sqrt(4))*6.\nAnswer: 8 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 3*t - 10, 20 = 4*z + 5*t. Let i(b) = -b - 6. Let o be i(-6). Suppose f = -o*f + z. Solve 4*k - 3 - 33 = 4*v, 29 = f*k - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 34. Let y(r) = -15*r + 2. Let n be y(3). Let q = n - j. Calculate the least common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92.325 - 0.675. Let y = z - -98. What is the third smallest value in -5, y, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-8)\/(-2))\/((-26)\/(-2808))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 10, -7 = 2*u - q - 4. Let a = 20 - 23. Let j be (a\/(-9))\/(1\/(-9)). Put u, j, 3 in decreasing order.\nAnswer: 3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 267 = -88. Let t = 140 - z. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-3\/4)*s)\/s)\/s**5)\/(s**(2\/5)\/s)**(-9)*(s*s\/s**0)**(-27)*(s\/((s**(-3)*s*s)\/s))\/s*s*s\/(s*s*s**(1\/3))*s*s assuming s is positive.\nAnswer: s**(-3629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (103 - 57 - (2 - -2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-3.83\nAnswer: -0.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -40. Suppose -u*f + 1 + 7 = 0. Let q(h) = 3*h + 6*h**2 - 6*h - f*h**2. What is q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - 2*w**2 + 5*w**2)*(-2*w**2 - w**2 + w**2) + (-3*w + 2 - 2)*(w**3 + 4*w**3 - 4*w**3).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 67 = -81. Solve -2*s = -5*g - 12, -k*g = -3 + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 653, 636, 599, 536, 441?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, -377, -376?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723*s**3 + 485*s**3 + 229*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 370823 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 477, 477, 475, 471?\n\"Answer: -n**2 + 3*n + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/105 and -121\/2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 800 - -1502?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 2 = -17*f. Solve 6 = 5*d - f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -14) + 13 - 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5163 + 5162.9. Which is greater: l or 39\/7?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70329, -70330, -70331?\nAnswer: -70332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 + 238. Let a = j - 137.9999959. Round a to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3845 - -3900) + (1 - -3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111110111101101111011 (base 2) to base 16.\nAnswer: 3f7b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 675708 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2465*a - 10652. List the prime factors of h(12).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 - -157. Put 1, -2, i in decreasing order.\nAnswer: 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z + 2*z + 16*z + 7*z)*(7 - 83 - 6).\nAnswer: -3034*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + 9 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 415, 628?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 8*c - 7. Determine q(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/48 and -1\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32861*n = -33187*n - 29666 for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4769*z - 770 wrt z.\nAnswer: -4769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2083, 2074, 2053, 2014, 1951, 1858, 1729?\n\"Answer: -i**3 - 2*i + 2086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 4*g**2 + 2*g**2)*(144*g - 287*g + 263*g) in the form m*g**2 + w*g**3 + j + x*g and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509845 divided by 1?\nAnswer: 2509845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/3)\/(-2 - -1). Suppose 1 = r - 4*w, n*w + 0 = 4*r - 4. What is the first derivative of 1 + 2*u**3 + r - 1 wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -442, -461, -538, -709, -1010, -1477, -2146, -3053?\n\"Answer: -6*p**3 + 7*p**2 + 2*p - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + 26\/7. Let o(q) = q**2 + 7*q - 8. Let k be o(-8). Let g be (-3 + -1)\/(2 + k). Sort g, x, 1.\nAnswer: g, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -183, -275, -373, -477, -587?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, -1, -9, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 302 (b) -4 (c) 2\/25 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4512 and 504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 577510.\nAnswer: -173253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -491429 (base 13) in base 6?\nAnswer: -101223145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*s - 20 = 0, 5*o + 1 = 2*s + 21. Suppose -v = -2, -3*m + 4 = -m + o*v. Which is smaller: m or -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 516177*a + 4. Let y(i) = -2*i. Calculate h(y(j)).\nAnswer: -1032354*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 50048, 123, 0 in descending order.\nAnswer: 50048, 123, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 47968 = -5*g + 17793, -5*g = -2*d - 65773. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5088 and 9858?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -18\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14753, 32201, 52343, 75185, 100733, 128993, 159971, 193673?\nAnswer: 230105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 - o + 1. Let y(b) = 3*b**3 + 6*b**2 + 3*b - 4. Let u be 1 + 19*5\/((-20)\/96). Let s be 100\/(-26) + 70\/u. Give s*j(q) - y(q).\nAnswer: q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 6*b**2 + 32*b - 176. What is the remainder when l(7) is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5139 is divided by 1239.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:21 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5112193?\nAnswer: 5112193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8712 + 8690. Let n(z) = 11*z - 1. Let g(j) = -55*j + 5. Determine b*n(w) - 4*g(w).\nAnswer: -22*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.2, -2\/3, 1\/35, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 44. Let g be f(26). Suppose 0 = -x - g*n + 14*n + 293, -2*x + 3*n + 586 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -97.6.\nAnswer: 9.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**2 - 5*k - 2 - 1\/20*k**5 - 17\/3*k**3 - 59\/30*k**6 + 0*k**4. Find the second derivative of d(s) wrt s.\nAnswer: -708*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k - 5*k - 14*k + 3*k to h + g*k and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 6*k**2\/11 - 82*k\/11 - 8 = 0.\nAnswer: -1, 44\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/63)\/((-6)\/81*3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3510 = 657*k - 4374 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 9. Let w be 36 + -8 - (f + -4). Solve j + 2 = 0, 0*l + 3*j = 5*l - w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**11*s)\/s*s)\/s)\/(s**(-9\/4)\/s)*((s*s\/(s*s\/(s*s**(-7))))\/s)\/(s*(s**(4\/7)*s)\/s) assuming s is positive.\nAnswer: s**(187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 96253817.\nAnswer: 96253817.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-4) + (10 - (-340)\/(-20)). What is the smallest value in 1\/15, 5, -4, -0.4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) -7 (d) -1\/2 (e) -1174 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11355*b + 1366. What is the ten thousands digit of d(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1195292 and 0.25.\nAnswer: 298823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1571 - 81743.\nAnswer: -80172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 26*g**2 + 28*g**2 - 53*g**2. Calculate r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22350777 (base 8) in base 12?\nAnswer: 1753853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20799 - 41592 - 2*a**2 + 20793 - 58*a**3.\nAnswer: -58*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*t + 0*t - 2*t)*(-5 - 4 + 5) - 19 + 11*t + 19)*(-2*t - 6*t + 3*t)*(7 - 3*t - 7)*(-2 - 2*t + 2).\nAnswer: -210*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnup when four letters picked without replacement from {g: 2, n: 2, u: 2, p: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 808593 and 3681?\nAnswer: 2425779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let o(d) = d. Let v be o(-3). Let x be v\/(-9) + 3\/45. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 267109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22*p**3 - 4*p**2 + 3908*p. Let v(o) = -22*o**3 - 4*o**2 + 3909*o. Let w(s) = 5*a(s) - 6*v(s). Find the second derivative of w(t) wrt t.\nAnswer: 132*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -6.01. Let l = -5 - x. Which is the closest to l? (a) 3 (b) 0.2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3476170*j**3 - 92*j**2 - 503.\nAnswer: 20857020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 332*n - 21*n - 89*n - 214*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/270)\/(-2))\/((8\/2)\/(-20)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*r**2 + 596*r**2 - 303*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10139?\nAnswer: 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27005*p**2*q**3 - p**2*q**2 - 388*p**2*q - 8*p*q**3 + 2*p*q - p - q**2 wrt q?\nAnswer: -162030*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -312*3\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -146\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d - 1. Let h = 10 + -6. Let b be a(h). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 2 = 8*v. Suppose 0*i - 9 - 6*i**v + 12*i + 2*i**2 + i**2 = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -0.4, -33, 1.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(-10)\/2090*-11.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 18753512?\nAnswer: 18753514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, b: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 14*t - 33. What is u(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) - (50518\/(-4))\/((-63)\/(-168)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a + 1\/336*a**8 + a**2 + 0 + 19\/240*a**5 + 2\/105*a**7 + 7\/96*a**4 + 5\/96*a**6 + 1\/24*a**3. Factor k(f).\nAnswer: (f + 1)**3*(2*f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 7*i - 3. Let b be g(-6). Suppose 0 = b*h - 3*n - 12, -n = -3*h + 4 + 4. What is the second derivative of h*f + f**3 + 0*f - 3*f**3 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959069327 to the power of 1\/2, to the nearest integer?\nAnswer: 30969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10080\/(-1008))\/(20\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 104 = -102. Let p(s) = -6*s**2 + s**t + 0*s**2 + 3*s**2. Let z(x) = 16*x + 2. Give z(p(u)).\nAnswer: -32*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -11. Let u(j) = -j. Let d be u(-3). Solve -d*v = -v + y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwkpnwwnkxrpw. Give prob of picking 2 p.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5481*q + 5607 wrt q.\nAnswer: -5481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6*(0 + -6). Let y be 0 + -3 + 1 + 0. Let k(s) = 7*s**2 + 2*s. Let d be k(y). Calculate the highest common divisor of b and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -2) + 2 + 2. Let t(h) = 4*h - 4*h - 3*h**x - 2*h**2. Let b(s) = 2*s**2. What is t(b(p))?\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*r = -197*r - 6, 4*x + 26 = 5*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m + 39. Calculate the remainder when b(0) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -66 (c) -11 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-30)\/195)\/(732\/(-793)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182\/153485 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 20. Solve -f*u + 9*u = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (21 + (17 - -5 - 21) + 4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 18*w**3 - 3*w**2 + 3. Let i be a(-2). Let j = -34 - i. Suppose 10976 + j = 5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1312\/(-492)*3*2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 18, 62792.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 3*l + 20, 3530*l - 11 = -5*h + 3529*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -5*k + 3*q, -4*q - 120 - 106 = -5*k. Let a = 1575 - 1069. Calculate the highest common divisor of k and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + -7. Let p be t\/2*18\/(-15). Solve -5*m + p = -4*d, 2*m - m = 4*d - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9263.\nAnswer: 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + q + 2 = 0, 2*q + 0 = 3*s - 5. Let b = 0.3 - 0.1. What is the third smallest value in b, s, -2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -203*p**3 + 6*p**2. Let y(a) = -204*a**3 + 5*a**2. What is 5*u(j) - 6*y(j)?\nAnswer: 209*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 10*f - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.373 + -0.273. What is the nearest to g in 2, -1\/5, -3, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5))**2*-4 - sqrt(2688)\/sqrt(6) - (-4 + sqrt(567) + sqrt(84)\/(sqrt(12)*-4)).\nAnswer: -67*sqrt(7)\/4 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.1 - -7. Let j = -6.3 - -6. Let m = j - r. Sort -2\/11, 3\/5, m in decreasing order.\nAnswer: 3\/5, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 4*s - 7*s)*((2 + 1 - 2)*(-4 + 0 + 1) + 299 + 8 + 121).\nAnswer: -2550*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*p - 6 = 0, -p + 4*p = -146 + 134 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -3) + 6\/(-2). Suppose -x*m + 4 = -0*m. Find the third derivative of 3*y**m + 4*y**2 + 3*y**4 - 2*y**2 + 0*y**4 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or -1937?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*r + 2*r - 25, -5 = 3*w - r. Is -1\/2 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -223? (a) 0 (b) -0.3 (c) -32 (d) 151\/4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 98*d**2 - 7*d + 15. Is r(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31875, 127493, 286853, 509955, 796799?\n\"Answer: 31871*o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u**2 + 5 + 0*u + 1\/6*u**4 - 2\/45*u**5 - 4\/27*u**3. Factor s(f).\nAnswer: -2*f**2*(f - 2)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -125*m. Let b(o) = 26*o**2. Determine q(b(d)).\nAnswer: -3250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3031000 (base 4) to base 5\nAnswer: -404440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h - 5. Let f be n(-1). Let 0*s + 0*s**f + 7\/2*s**4 - 1\/2*s**3 + 0 - 6*s**5 = 0. What is s?\nAnswer: 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-130 + 129 - 91*f + 72*f)*(-2 + 6 - 1) as m*f + k and give m.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78041?\nAnswer: 78041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 + 13*p**2 - 6*p - 14. Let c(z) = 20*z**3 - 38*z**2 + 18*z + 41. Let s(j) = 6*c(j) + 17*w(j). Does 4 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Suppose -7*z + 21*z - 42 = 0. Solve 3*n + 3 = z*o, -o = x*n - 6*o + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1837 divided by 3.\nAnswer: -1837\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 0, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4281640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saa when three letters picked without replacement from {s: 4, a: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20712748*d*m**2*o**2*v - 2*d*m**2*o - 2*d*m**2 - 5*d*m*v + 2*m**2*o**2 + 106*m**2*o*v + 935*o*v wrt o?\nAnswer: 41425496*d*m**2*v + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 5 = -65. Let s(z) = -z**3 - 6*z**2 + 6*z - 5. What is s(v)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + n - 5. Suppose 7 = -2*c + 13. Let r be f(c). Solve -g = -5*p - r, 0 = 2*g - 2*p - p - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 106 - 0*(-2)\/8*2. Let b = -153 - -78. Let m = b + s. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*v**3 + 2 - v**2 + v**3 - 9*v**2 - v**3 in the form y + i*v + m*v**2 + b*v**3 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15225826.\nAnswer: 2, 7, 11, 98869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -147476571 divided by -73\nAnswer: 2020227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - x - 3 = 0, -2*x + 6*x + 12 = -4*c. Let h be (c + -5)\/((-105)\/42). Solve -h = -4*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 - 6 - 1 + 3 + (5 - 2 - 1)*(4 + 2 - 5) - 5 + 4 + 2)*(31 - 31 - 8*n**3)*(-6*n**2 - 11 + 11)*(0 + 0 + 1 + (5 - 5 - 2)*(4 - 4 - 2)).\nAnswer: 240*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70 or -3\/2?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - ((-10)\/(-4))\/(-5). Suppose -30*a = a - 62. Factor y*k**a + 3\/2*k + 0.\nAnswer: 3*k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4723793993 + -63.1.\nAnswer: -4723794056.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*q + 32 = 0, 2*u + q - 1191 = -1217 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one halves of a century?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 9*h + 9. Let r be o(-8). Suppose 9*j = 19 + r. Let x = 2 + j. Calculate the smallest common multiple of x and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2\/5, 7.051 in decreasing order.\nAnswer: 7.051, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4\/4 - 345*u**3\/4 + 355*u**2 + 19245*u + 36400 = 0. Calculate u.\nAnswer: -70, -13, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -103*o + 66*o + 42*o. Let h(d) = d + 1. Calculate -a(l) + 4*h(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.26 + -1398.26. Let s = m - -1373.9999069. Round s to six decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92207000 to the nearest one million.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3. Let r be p(0). Suppose 2*b = r*k - 2*b - 6, -4 = -2*k + 5*b. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than 8370672?\nAnswer: 8370670.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -x. Suppose -x*q + 12 = -4. Suppose 69 = -5*z + q*z. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s. Suppose s = 7*r - 4*r. Let q be ((-12)\/(-5) - 2)*5. Solve q*a - t + 8 = 0, -4*a + 5*t - 10 = -r*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41485, 83060, 124721, 166468?\nAnswer: 208301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4224 divide 129151552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1223746*b**3 + 3*b**2 - 49*b + 5089 wrt b.\nAnswer: -7342476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 12:04 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23837)\/(-627) - 15) + 12 + -35.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -746389*j + 37*j**2 + 746389*j. Let s be -3 + -6*(-3)\/6. Let o(x) = -x + s*x + 2*x. Give h(o(u)).\nAnswer: 37*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 405*d**2 - 3212*d + 1608 + 933*d**2 + 4*d**3 + 262*d**2 = 0. Calculate d.\nAnswer: -402, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c**3 + 299*c**2 - 334*c + 214. Calculate y(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/r**(-1\/12))\/r)\/r*r)\/(r**(-4)\/r)*r**7\/r**(2\/7))**17)**(-47) assuming r is positive.\nAnswer: r**(-791809\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -103*j + 35. Let b(a) = -23*a + 9. Let p(m) = 9*b(m) - 2*g(m). Let v = 12 + -3. Let s be p(v). Solve 1 = -s*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**2\/2 + 11*w - 1. Let g be c(0). Let o = -6 + g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 74416*u + 3054418 = 0. Calculate u.\nAnswer: -41, 37249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 676 and 1487707.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2226 in -23, -5, -0.4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 70*x**2 - 162*x - 334. Let g be l(-2). What is the greatest common divisor of g and 10098?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25659090 or 11?\nAnswer: 25659090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3953)\/(-4) + 7\/(-28). Suppose 3*o + 264 = -a, -2*a - 2*a + 5*o = u. Let y be 8\/(-6) - 408\/a. What is the nearest to y in -2\/11, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 10*q - 78 = -6*q + 32*q, 5*c - 2*q = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13127 - 118145\/9. Sort -1.1, -1\/11, g, -1.\nAnswer: -1.1, -1, g, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 26*d + 9. Let u(b) = -b**2 + b + 1. Let x(f) = -4*u(f) + z(f). List the prime factors of x(-16).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*y + 4*l = 2, -25 = -2*y - 5*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10299859, 10299858, 10299857, 10299856, 10299855?\nAnswer: 10299854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9660066 and 2439.\nAnswer: 28980198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324 - -336. What is the least common multiple of a and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-77)\/273 + -6\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/((-4)\/(-36)). Let d be 128\/10 - r\/(-15). Suppose 0 = 3*k + k - 16. Solve -5*m + n = -0*n - d, -k*m = -n - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.1. Let j = -2.21 - -0.11. Let y = f + j. Is y != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x = -2*u + 17, 5*u + 7 = 4*x. Suppose 5*n - 929 = -4*r, -x*n = -4*r - 283 - 268. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:51 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3759200 = -352*m + 225*m. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28 and 163310.\nAnswer: 163338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104.15 + -2.15. Let b = w + -99. Is b < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17982893629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j**2 + 25*j**2 - 13*j**2 + (-2 + 2 - j)*(-1 + 1 - j))*(-2 + 1 + 0).\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**3 + 12*p**3 + 5*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*f - 196*f + 31*f**2 - f**2 - 204*f.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3 - 4.9. Which is the nearest to -1? (a) 0 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/4 + 1323155*k\/4 = 0.\nAnswer: 0, 1323155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/96 and -163\/84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-399)\/60 + (76 - 72) and 235\/(-6)*3\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-20)\/50 + (-314127)\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 10*h - 3. Let f be r(-10). Let v be 2 - f*(0 + 1). Solve v*i - 2 = -4*t - 18, -4*i = -2*t - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/157? (a) -0.04 (b) 0 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 139*d**2 - 296*d + 5070. What is l(71)?\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12750.51 months to millennia.\nAnswer: 1.0625425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**4 + 14*n**3 - 9*n**2 - 5. Let a(o) = 18*o**4 - 42*o**3 + 26*o**2 + 14. Let i(r) = 5*a(r) + 14*d(r). Suppose i(y) = 0. Calculate y.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728*i**2 - 734*i**2 - 19 - i + i to s + b*i + o*i**2 and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.31997556 + -12.32. What is a rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33480 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 23*i + 27*i - 166*i**2.\nAnswer: -166*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30838673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 20. Let r be v - (-3)\/(-9)*9. Let 310 + 184*a**r - 780*a - 20*a**3 - 130 + 61*a**2 = 0. What is a?\nAnswer: 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-24))\/(6\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 = -x. Suppose p - 3*s = 10 - 0, -p - 4*s = -45. Suppose 4*j - p = 11. Calculate the smallest common multiple of j and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 77*j + 4309. What is i(-56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363025224 to the nearest integer?\nAnswer: 19053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1024 + -36735?\nAnswer: -35711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 32, 9, -32, -97, -192, -323?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701646 is divided by 5429?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 35958*k + 35961*k - 74 = 0, -k + 24 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780437?\nAnswer: 3, 593479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**21*w*w**(-19)*w)\/(w*w**(5\/3)*w*w*w**4) assuming w is positive.\nAnswer: w**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -13, 301 in decreasing order.\nAnswer: 301, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -500*z + 1276*z - 467*z to d*z + s and give d.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnpnlgn. What is prob of picking 1 g and 2 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*o = 28, 3*o - 529 + 500 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/20 and 57\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 247876590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61768045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32250946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1248\/520*3055\/(-2))\/(-2). Calculate the greatest common factor of o and 705.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 + 12\/60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63043?\nAnswer: 23, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 7606174.0846.\nAnswer: 7606174.6846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(p + p + 0*p)*(2*p**3 + 9 - 9).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k + 6. Let b be q(0). Suppose 2*d - 3*d + b = 0. Suppose -4*l - d = -6*l. Solve 0 = l*j + 5 + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2212211112 (base 3) to base 10\nAnswer: 56741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 11*j**5\/2 - 75539*j**4\/6 - 224924*j**3\/3 + 10694*j**2 + 36720*j = 0.\nAnswer: -6, -2\/3, 0, 8\/11, 2295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 11*j**2 - 13*j + 33. Let m be i(10). Let l(d) = 2*d**2 - 6*d. Let z be l(m). Solve 0 = 2*y - 2*f + 10, z = -3*y - y + 2*f - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + o**2)*(6*o**3 - 3*o**3 - 4*o**3 + (0*o**2 - 3*o**2 + 5*o**2)*(2*o - o + 0*o) - 4*o**3 + 0*o**3 - 4*o**3).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -17*h - 17*h + 46*h - h**2 - 15. Let p be g(10). Solve i + p + 0 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034062 to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/2195 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, -4, -11.\nAnswer: -11, -4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 2}. Give prob of picking 1 g and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -3, 0.5, -3.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*u**2 - 37 + 3*u**2 + 3*u**2 - 2*u + 27*u**2 with respect to u.\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 5*c + 2. Let k be q(5). Suppose 2 - 8 = -5*t + l, -5*l = -k*t - 16. Suppose -5*p = -t*p - 9. List 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 first derivative of 1584*r**3 + 1682?\nAnswer: 4752*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 37*h - 682. Give f(19).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 l when three letters picked without replacement from {g: 1, x: 2, q: 4, l: 2, c: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 2*x**5)*(1 + 5 - 5) + (6*x**4 - 6*x**4 + 4*x**4)*(69*x + 78*x - 31*x).\nAnswer: 462*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(-2)*(-199)\/(67262\/(-234))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3, -11 = 2*m + m + 5*p. Is m > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 46*t**3 - 196*t**2 - 30*t**3 - 2304 - 2496*t - 20*t**3 = 0?\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/5 and (2\/(-122) - 0)\/(4\/48).\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 25*t. Let y(o) = -5*o - 7*o + 11*o. Give y(d(m)).\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:23 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**2\/2 + 4*o + 350. What is d(17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438233 is divided by 1083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.9 and 15492.3392.\nAnswer: 15496.2392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1. What is the nearest to 2 in -5, f, 0.04?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 - 12*f + 608. Let h be n(16). Calculate the greatest common divisor of h and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 4, t: 5, g: 4, c: 2}. Give prob of sequence cc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1092 and 209111.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587308702 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 3*f**2 + f - 1. Let i be x(-3). What is the hundreds digit of ((i - -2) + 213)*1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -47595, -1 in ascending order.\nAnswer: -47595, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/(-30)*(14 + -12)*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -4504\nAnswer: -4503.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 43. Suppose -36 = -2*k + o. Let b = k + -4. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 54*y + 16*y + 13*y + 0*y + 25*y.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**3\/3 - c**2\/2 - 5*c - 5. What are the prime factors of h(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, -19, -48, -81, -118, -159?\n\"Answer: -2*n**2 - 19*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-12)\/(c\/c**(-7\/2))*c**(-3\/2)*c**13 assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -526*w - 3311. Calculate r(-13).\nAnswer: 3527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19676386 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 69. Suppose -2*h - v = -3*j, -j = -h - 12 - 3. Suppose 6*d - 6 = 3*d. What is the smallest common multiple of j and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53868?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 1 in descending order.\nAnswer: 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(n + 0 + 0) + (5 - 5 + 11)*(-5*n + 2*n + 2*n).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 83.\nAnswer: 88\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44694 and 24228.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**4 - 15*a**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380260?\nAnswer: 2, 5, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - 12. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -227932.214 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528 - 529 - (0 - -6 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiyiiiiiiiiiiiyiiii. What is prob of sequence yy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 572049 to the power of 1\/2, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 15 + -40 - (8 - 1 - 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149431600 rounded to the nearest 1000000?\nAnswer: 2149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + 8*l - 20299*l**2 + 20275*l**2 + 4*l**2 - 3*l**2 + 0*l**2 + (3*l**2 - 7*l**2 + 3*l**2)*(0 - 1 - 1) in the form p*l**2 + z + w*l and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2794.43823 to the nearest integer.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90 - -97) + -3 + 0 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*o = 4, -4*o = -o - 3. Suppose j = 4*b - 5*b + 3. Calculate the common denominator of 5*-5 + b\/12 and -25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -17*r**5\/20 + 5*r**4\/12 - 29*r - 11. Let d(f) = 110*f**3 - 33*f**2. What is -5*d(m) - 33*w(m)?\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/29532 and 97\/36915?\nAnswer: 147660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9788 rounded to 2 dps?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.73 + 132.27. Let n = a + -134.99923. Round n to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c63 (base 13) to base 10.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6906 - -8002. Which is smaller: 2\/19 or a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixbxvibptvtx. What is prob of picking 1 t and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -72 (b) -4 (c) -0.5 (d) 1\/3 (e) 613\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**4 + o + 5*o + o + 6*o**2 + 7*o**4 + 10 - o - o**3 in the form q + l*o**4 + m*o**3 + z*o + k*o**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010619 rounded to 4 decimal places?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**2*p - 10388*b**2 - 50663*b*p wrt b.\nAnswer: 12*p - 20776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105407 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 8, 0*s - s - 5*h = -100. Let x = 414 - 393. What is the remainder when s is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.4. Let p = 0.14 + -0.64. What is the closest to i in 1, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26862 and 22660.\nAnswer: 27667860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 3. Let u be (60\/(-18))\/10 - (-11)\/(-3). Let n(q) = q**2 + 10*q - 10. Let p be n(-11). Let c(w) = -20 - 18 + 39. Determine p*d(m) + u*c(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24975095?\nAnswer: 5, 47, 106277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 76 = -5*r + 196, 5*g - 649 = 3*r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 811c6 - 96?\nAnswer: 81130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 5*a - 10. Let v be p(-7). Suppose -4*j - 3*i - 6 = 0, 0*j = -v*j + 2*i + 4. Suppose 0 = -4*z - j*z. Solve z = 3*x - 19 + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = 0, -4*t + 2 = -6*t - 2*u. Let h be (-18)\/t + (-4)\/2. Let w = 134 - 668\/5. Which is the nearest to w? (a) h (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x - 12 = 4*r, -2*x + 5*r = -12. Suppose 0 = -5*j - 3*b - 120, -2*b = -j + 2*b - x. Let w = -11 - j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 169.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -n - 10 - 25, -9*j + 0*j = n + 75 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174 - (60 + 105)) + 73 + (-1 - 0).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*k**3\/7 + 8500*k**2\/7 - 58466*k\/7 - 1916 = 0. What is k?\nAnswer: -479, -2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597527332?\nAnswer: 2, 283, 527851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*l + 22, 488*l + 165 = 501*l + 5*n - 68 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 + 4*l + 4. Let g(r) = 24*r**3 - r. Let h be g(1). Let t = -8 + h. Calculate the remainder when t is divided by w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -65*c - 1221. Let l(f) = -59*f - 1219. Give 11*l(h) - 10*n(h).\nAnswer: h - 1199","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*z = 2*z - 100, 2*z + 112 = 2*v. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 21 = -0*j - 3*j, -j = -4*v + 3. Solve 22*r = -j - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -1 + (166 - 201).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3256 - -6947. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012021001000 (base 3) in base 5?\nAnswer: -413312433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/48 and -53\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 3*a + 1. Let f = 1766 - 1757. Let d(t) be the second derivative of 0 - 7\/6*t**3 - 4*t - t**2 - 1\/6*t**4. What is f*q(j) + 4*d(j)?\nAnswer: j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*m - 61. What is the tens digit of 3*31*m\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + 4 + -2 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*p**3*s + 4*p**2*s + 148*s wrt p?\nAnswer: -72*p**2*s + 8*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 284*r**2 + 1177*r - 7099. What is o(288)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*q + 3 = 0, 2*q + 0*q + 6 = -2*d. Which is greater: -2\/639 or d?\nAnswer: -2\/639","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 f when four letters picked without replacement from lxfioxxffo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -599 + 607. Calculate the least common multiple of 9 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -53*(11 + 2 + -2). Let z = b - -2317\/4. What is the common denominator of z and -43\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fd (base 16) to base 4.\nAnswer: -3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5807396 by 433.\nAnswer: -13412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3031, -3, 4\/107?\nAnswer: 2\/3031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 10*a**2 + 8*a + 4. Determine m(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + 18. Suppose 0 = 3*p - 12, -104 = 5*o + 2*p - 452. Let f = o - d. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 24677 = -l, 39*i - 38*i + 24653 = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 46*p**2. Let x(z) = -19*z**2. Calculate x(k(n)).\nAnswer: -40204*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1495260500 to the nearest 1000000.\nAnswer: 1495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 17*l - 20. Suppose l*f - 599 = 3*y, -2*y - 594 = -2*f - 2*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 38. Let i(f) = -2*f + 2. Let h(j) = 3*j - 3. Give z*h(x) + 8*i(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110111000111111110?\nAnswer: 110111000111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.5, -7 in increasing order.\nAnswer: -7, -0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmkd. What is prob of picking 1 k and 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-3)\/(-3))\/(-1). Suppose 19 = 2*i + a*n, 0*n = -4*n + 12. Solve -s - 2*s + 29 = i*v, -5*s + 4*v = 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 3.3. Let s = 3.7 - r. Round s to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**4\/a))\/a*a*a*a\/a**5*a**(-2)*((a\/(a\/((a\/(a**(-3)\/a))\/a)*a))\/a)\/a)**(2\/25) assuming a is positive.\nAnswer: a**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/92 and -83\/20010.\nAnswer: 40020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2, -3, 0.54448?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13897 and 62002.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbiidbidbbbd. Give prob of sequence bii.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 21. Suppose 2*l + d = -44 + 113, 3*d - 137 = -h*l. Suppose -4*f - 10 = v + f, -9 = -3*v - 2*f. Calculate the greatest common factor of v and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 353*l**2 + 20481*l + 405. Calculate d(-58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -1\/14*p**7 - 1\/2*p**6 + 0 - 27\/20*p**5 - p**3 - 7\/4*p**4 + 0*p**2 + 7*p. Suppose g(q) = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(8\/15)*-2. Suppose 28*k - 31*k = -w. What is the second derivative of -48*z - 2*z**5 - 45*z + 91*z + 14*z**k wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 26*f = 20. What is the closest to -2 in -0.5, f, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 738 = 129*p + 107*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 947303148 divided by 6?\nAnswer: 157883858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**3 - 4*c**2 - 8*c + 3. Let o(m) = -m**3 - m**2 - m. Suppose -4*p + 171 = 23. Let j = p - 38. Let d(x) = j*s(x) + 5*o(x). What is d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 - 144*z + 148 = 0. Calculate z.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-2)\/(-22))\/((-24)\/48).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from bviiiiviiiiviv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*(sqrt(96) + sqrt(96) + (1*sqrt(96) - sqrt(96))))\/(sqrt(4) - (sqrt(484) + -1*sqrt(484))))\/(-4*(sqrt(72) + 1*sqrt(72))*5).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 3 + 133*l**3 + 2*l**2 - 2 + 5*l wrt l.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Is (-3346370)\/(-4)*(-1902)\/(-4755) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 + 6*k**2 - 9. Suppose 4*w + 15 = 3*q, 5*w - 60*q + 55*q + 15 = 0. Let h(p) = 4*p**3 + 5*p**2 - 9. Give w*h(d) + 5*u(d).\nAnswer: d**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h - 4. Suppose -48 = -2*u - 3*q, -2*q + 6*q = -5*u + 120. Suppose c = 7*c - u. Put -3, -4, h, c in increasing order.\nAnswer: -4, -3, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 + 15 = 4*k, -k + 2 = -3*x. Let s be 0\/x*2\/4. Let n be 54\/4*(-4)\/(-3). Solve s = 3*t + 5*q + 6, 3*q = 4*t + q - n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224*t**4 - t**3 - 176*t + 697650?\nAnswer: -896*t**3 - 3*t**2 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2548.9 + 182\nAnswer: 2730.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 15 = 0. Suppose -5*k + 2*q - q = -13051, 4*k - b*q = 10443. Let n = k + -23467\/9. Find the common denominator of -55\/9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -7*p - 58 - 47. Let q(v) = v**3 + 30*v**2 - 62*v + 70. Calculate q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311152 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 + 120212000221?\nAnswer: 120211222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17480535 less than -445?\nAnswer: -17480980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 308982428 a multiple of 751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9696*o**3*x**2 - 3*o**3 - 3*o*x**2 + 37762*o - 2 wrt x.\nAnswer: 19392*o**3*x - 6*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -461*b**6\/12 + 4571*b**5\/60 + b**2 - 3370. What is the third derivative of r(y) wrt y?\nAnswer: -27660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**5\/40 - o**3\/4 - o**2\/2 - 12*o + 8. Let d(f) be the first derivative of v(f). Factor d(p).\nAnswer: (p - 2)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -127125036 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/4 and 2\/11 + 1542\/352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 - 44*c + 51. Let z(u) = 2*u + 5. Let q(y) = g(y) - 8*z(y). Determine q(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -41 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7398218 by -7398218.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13888, 13834, 13786, 13744, 13708, 13678, 13654?\n\"Answer: 3*o**2 - 63*o + 13948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcvvvrivvcccvvihr. Give prob of picking 1 h and 1 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*w + 280, -6*h = -2*h - 5*w - 244. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57451.\nAnswer: 73, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -26\/31 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4907*w + 22596. What is q(-4)?\nAnswer: 2968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 46\/5 of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3753 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, 3\/5, 0.047, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -4761852465609.\nAnswer: -4761852465608.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*-283191*(-5)\/(-45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 30*r + 1. Let p be k(-30). Let n be (0 - 0)*3*p\/(-3). What is the nearest to -1 in -4, n, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-330))\/((-2)\/170)*-6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkbbbbbb. Give prob of sequence bk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) 1.307 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356a57 (base 12) to base 2.\nAnswer: 11010010011101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 116801809.82.\nAnswer: 116801805.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = 4*g, 3*l = -2*g - 7 + 2. Suppose 19*z = -l + 58. Suppose 4*t - 9 - 11 = 0. Solve 0 = 2*f - t*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + 5*c)*(1 - 3 - 3)*(-4*c + 3*c - c + c + 2*c - 5*c - 3*c + 3*c + c + 1 - 1 + c + (2 + 1 - 1)*(-3*c + 2*c + 2*c) - 10*c - 2*c - 3*c).\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151659259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 92581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 31 - 79) + -40\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.21578 greater than or equal to -0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + i**3 + i**3 + (91*i - 19*i + 203*i)*(-5 + 5 + 2*i**2) + 3*i**3 - i**3 - 4*i**3 to p + g*i**3 + t*i**2 + x*i and give g.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20918 and 36.\nAnswer: 376524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 268, 147, 0?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3\/3 - w**2\/2 - w + 27. Let m(q) be the first derivative of q**3\/3 + 3*q**2\/2 + 2*q - 3. Calculate -j(h) - m(h).\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -472*j + 9219. What is the units digit of w(-44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 4. Let w be 225\/513 - 8\/76. Is i less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(16) + 3)**2.\nAnswer: 3*sqrt(5) + 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19510 - -353634. Let h = c + -1003144. Round h to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.140638 and 48425?\nAnswer: 48424.859362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -2, -5 in decreasing order.\nAnswer: -2, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 5:58 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/9, 0.3, -1, -5 in descending order.\nAnswer: 0.3, 2\/9, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7183800, 14367597, 21551394, 28735191?\nAnswer: 35918988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305784.\nAnswer: 2, 3, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4599, 4698, 4793, 4884, 4971, 5054, 5133?\nAnswer: 5208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from qqgeewqjqqww?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -297.288739 to 1 dp.\nAnswer: -297.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 2 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.0789 - 0.0789. What is the fourth smallest value in -4, 5\/3, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gddd when four letters picked without replacement from gdggggdgggdggdgddgd?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1191 + 1198. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 12*k**2 + 10*k + 19. Let r be f(11). Sort -1\/2, r, -0.1 in increasing order.\nAnswer: -1\/2, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 1001065.54697.\nAnswer: 1001068.54697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-56) + ((-1112089)\/43092)\/(-313)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 12*n + 22. Determine j(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1314176 and 2976?\nAnswer: 122218368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2))\/o)\/o)**(7\/5) assuming o is positive.\nAnswer: o**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3164*d + 5150*d - 3244*d.\nAnswer: -1258*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 - 10*f**2 + 38*f. Give z(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9444492*o**3*w - 8*o**2*w**3 - 8553*o*w**3 - 378*o*w wrt o.\nAnswer: 56666952*o*w - 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:57 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 12. Calculate the least common multiple of c(2) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012901 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (9 - 11)) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*v + 3 = 0, 0 = 3*x - x - v - 1. Suppose -14*u + 16*u - 4 = 0. Suppose 5*q - 5*c - 630 = 0, x*c - 3*c = u*q - 277. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**2\/2 - 2*q - 3. Let y be u(-6). Let t be ((-150)\/9)\/(y\/(-2088)). Round t to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1. Let b(a) = 49*a - 7. Let d(x) = -b(x) - 5*s(x). Is d(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000011 + -10?\nAnswer: 1101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 528571?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735796 is divided by 154.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 5327257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**7\/1260 + s**6\/90 - s**5\/60 - s**4\/18 + 7*s**3\/36 + 336*s**2. Determine a so that p(a) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6981353, -13962706, -20944059, -27925412?\n\"Answer: -6981353*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169777468097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6709680 less than or equal to -6709675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:21 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1232, -1189, -1142, -1091?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1179 at most as big as -1179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/12 and -73\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.8*-0.096709\nAnswer: 0.3674942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(79\/(-553) - 9399014\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1)*3 - -36. Let l(j) = -166 - u*j + 154 - 194*j. Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 9473134.\nAnswer: -5\/4736567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 10) in base 8?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23440085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 101274*s**2 + 2*s**3 + 3*s + 101272*s**2 - 119 to the form t + g*s**3 + a*s**2 + k*s and give t.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -5 + 1\/3*a**3 - 6*a + 4*a**2. Let k be v(-9). Calculate the highest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716.493 decades to centuries.\nAnswer: 71.6493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 35 = 5*j, 5627*j + 24 = 5624*j + 4*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, t: 5}. Give prob of picking 3 t and 1 z.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15646 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 2*i - 277900*i**2 - 4*i + 0*i.\nAnswer: -277900*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 99*t**3 + 11*t**2 - 5*t - 12. Let d(n) = 100*n**3 + 10*n**2 - 4*n - 10. Let z(a) = 5*d(a) - 4*r(a). Find the third derivative of z(v) wrt v.\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -833221, -833219, -833209, -833185, -833141?\n\"Answer: m**3 - 2*m**2 + m - 833221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3476*r + 10234. What is w(-3)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n + 227. Let a be c(-43). Suppose -4*w = -3*k + 2515, a*k - 14*k = -w - 1680. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65.965 - 0.035. Let s = 76 + b. Let j = s + -11. What is the third biggest value in -0.2, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(5))**2*-3 + 2.\nAnswer: -250 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 5*s**2 - 5*s**2)*(2 - 3 + 2) + 0*s - 5*s**2 + 0*s + 0*s**2 - 4*s**2 + 2*s**2 - 4875*s + 4875*s - 879*s**2.\nAnswer: -887*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48492154 and 169722539.\nAnswer: 339445078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117109932, -234219870, -351329806, -468439740, -585549672?\nAnswer: -702659602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64*f*x**4 + 61726*f*x - 78975*f + 72 wrt x?\nAnswer: 256*f*x**3 + 61726*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0.05, -6, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*f - 1 + 3*f + 2*f - 3*f + (2 - 2 - f)*(0 + 1 - 3) - 5*f + 5*f + 2*f + 12*f - 3*f - f as d + a*f and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -32, -47, -62, -77?\n\"Answer: -15*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1785 + -1181. Which is smaller: p or 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**4 - 2*j**3 - j**2. Let h(r) = r - 3. Let u be h(-3). Let x(g) = -7*g**4 - 4*g**3 - 2*g**2. Let o(t) = u*x(t) + 10*z(t). Solve o(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxlxulxlx. Give prob of picking 1 x and 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8 (base 16) to base 7.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 91632 = 21*c. What are the prime factors of c?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - 115?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7066 = z, 485*z - 2*m + 14144 = 487*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**5\/120 - 103*p**3\/3 + 69. Let b(o) be the third derivative of r(o). Let w(x) = -3*x**2 - 4*x**2 + 5*x**2. What is w(b(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 63. Let x(n) = -191*n + 15. Let c be x(d). Suppose 0 = z + 5*k - 290, -c = -3*z + 3*k + 2*k. Calculate the greatest common divisor of 35 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76234199.\nAnswer: 733, 104003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 29*m**2 + 139*m + 20. Calculate p(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -24*b - 3. Let s(d) = 24*d + 2. Let i(o) = 4*a(o) + 6*s(o). Let r(x) = -2*x. Determine r(i(p)).\nAnswer: -96*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73979.\nAnswer: 29, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**3 - 10*b**2 - 6*b - 5. Let h = -223 + 222. Let s(a) = -a**3 + a**2 + a + 1. Let x(w) = h*t(w) - 6*s(w). Let o = 0 - 2. Give x(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -672*w + 671*w + 259. Calculate the smallest common multiple of 7 and w.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293286*y**5 + 14*y**2 - 27301*y - 16.\nAnswer: -5865720*y**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 7*m**2 - 3*m + 2*m**3 + 3 - 3*m**3. Calculate the smallest common multiple of 6 and h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4231006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001360675 rounded to 7 dps?\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (4 + -10)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/20 (b) 0.045 (c) -82 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3)*m)\/m)\/(m\/(m*m**(1\/3))))\/((m*m**(-1\/10))\/(m**(-2)\/m)) assuming m is positive.\nAnswer: m**(-197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101239172911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 250*v. Let a(g) be the second derivative of g**3\/3 - 3*g - 86. What is a(w(o))?\nAnswer: 500*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -75*d + 352. Let p be o(9). Let b = p - -1000. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 52. Let o = c + -1406. Calculate the remainder when o\/(-22) + 2\/11 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7295700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 327 - 140. Let s = 242 - i. Calculate the remainder when 219 is divided by s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 32409.\nAnswer: -1\/10803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 21*u + 63. What is the units digit of t(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 0. Let v(d) = 10*d - 12. Let c be v(k). Calculate the greatest common factor of 72 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, -y - y + 4*c - 20 = 0. Sort -5, y, -1 in decreasing order.\nAnswer: -1, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-115) - (-5610)\/(-45747)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 40534632?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -54*n + 635. Let l(a) = 149*a - 1904. Determine 4*l(f) + 11*x(f).\nAnswer: 2*f - 631","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 295*p - 27 = -294*p, -4*p - 60 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -9\/40*s**6 + 0*s + 0 + 20*s**3 + 70*s**2 + 29\/2*s**4 + 39\/10*s**5. Factor f(g).\nAnswer: -3*(g - 10)*(3*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o + 5. Let u = -78 - -80. Let k be g(u). What is the second derivative of -14*b + 6*b**3 + k*b + 4*b**3 - 40*b**3 wrt b?\nAnswer: -180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/29016765 and 151\/5158536.\nAnswer: 232134120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 219632327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 47*x**2 + 63*x + 106. Let f be b(22). Calculate the greatest common factor of f and 368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.392374cm in nanometers?\nAnswer: 3923740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*n = -107*n + 940. Calculate the remainder when 467 is divided by n.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 230*u**2 + 3985*u - 8850.\nAnswer: -5*(u - 59)*(u - 2)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/(-680) - (-1 - 545\/(-175)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 169, 2\/3.\nAnswer: -3\/4, 2\/3, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.01 (b) 6 (c) 2\/13 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13.75 * -0.2\nAnswer: -2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161\/92*(-16)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700)*-2 + -3 + sqrt(700)))*2)**2.\nAnswer: 480*sqrt(7) + 11236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 386582152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*p**3 + 2*p + 176 with respect to p.\nAnswer: 297*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.007987897 * -0.1.\nAnswer: -0.0007987897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.44 and 714610776.\nAnswer: 714610776.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99601 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 66 + 40 + 7 - 2 + 3*b**2. Let i(x) = x**2. Calculate c(i(u)).\nAnswer: 3*u**4 + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 822683 - 767057 - 274605. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0 + 2 - 2 + 6 - 3*k. What are the prime factors of m(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y - 2. Let h(x) = x**2 - 20. Calculate the remainder when -27*y*5\/(-5) is divided by h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 586*m**2 + 3*m**4 + 2*m**3 + 1185*m**2 - 597*m**2 to z*m**3 + w*m**4 + o*m + y*m**2 + a and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -19, 1\/4, 2\/9, 123 in descending order.\nAnswer: 123, 1\/4, 2\/9, 1\/10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/18 and 2\/2*(-238)\/24?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725 is divided by 566.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 37, -5.\nAnswer: -5, -4, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5638941.\nAnswer: 3, 7, 11, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 227*d = -4752, -2*r - 42 = -d - 2*d - 8 + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:52 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 64. Let y(p) = 4*p**2 - 9. Let o be y(j). Let b = o + 43. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmttcctmtctttttccc. What is prob of sequence mtt?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h + 48 = 0. Let m = -20 - h. Is 264 - m\/4*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:22 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*342755\nAnswer: -137102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/7 + 3*z**2 - 143190*z\/7 = 0.\nAnswer: -222, 0, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1665 + 0.4665. Which is the closest to -1\/2? (a) 2 (b) -0.8 (c) x (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*y + 2*i - 6, -3*y + 2*i + 8 = 0. Suppose -3*o - 3 = -y*g - 14, -3*g = 3*o + 3. Which is the nearest to -2? (a) o (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/5*-2*2\/(-12). Let d be 1*3\/1 + 0. Calculate the remainder when 14 is divided by (-1)\/(d\/(-9))*(u + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29292 and 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -278.895059 and -8.6004.\nAnswer: -287.495459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**8\/84 + 2*d**7\/105 - d**6\/30 - d**5\/15 + 4*d**2 - 17. Let h(f) be the second derivative of k(f). Factor h(s).\nAnswer: 4*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (51*-1 - -3). Let y = 35 - c. Let m(s) = -4*s + 31. Is 17 a factor of m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*d + 381. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:49 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i**2 - 114*i + 3. Calculate y(6).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -3*s. Suppose -20 = -s*p, 4*i + 3*p = -i + 45. Let x = 25 - 13. What is the smallest common multiple of i and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12424 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*v + v - 1 + (-v - v + 4*v)*(-3 - 3 + 5) as y + j*v and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1094252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 21 = 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(1300) + -3 + (sqrt(117)*-2 + sqrt(117))\/sqrt(9).\nAnswer: -3 + 59*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 2*q + 6. Let h(z) = -2*z**2 + 5*z + 13. Let b(n) = 6*h(n) - 11*w(n). Let m be b(9). Solve 2*t - m*j = -0*j - 17, -4*j - 8 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(833) + (2 + sqrt(17) + 3)**2.\nAnswer: 3*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 - 801*u - 2. Let y(m) = -21*m**2 + 3211*m + 9. Let v(j) = 13*a(j) + 3*y(j). Let d(r) = -2*r**2. Calculate v(d(n)).\nAnswer: 8*n**4 + 1560*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8094 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:54 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-216)\/30)\/(1\/(-195) - 0).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w\/w**(-7))\/w))\/w**(-4\/3)*(w**(-3\/2)*w)\/w*w**(-7) assuming w is positive.\nAnswer: w**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**3 + 123*c**3 + 4 - 144*c**3 + 223*c**3 - 4.\nAnswer: 235*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*k + 139*k + 1216 = 163*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*n**2 - 362*n + 362*n.\nAnswer: 124*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -b - 16 - 5, x = b + 1. Let t be (x + -526)*-5*10. Suppose 4*p + p = -t. Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -5160a0?\nAnswer: -5160a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 - -10111000?\nAnswer: 100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -561 - -571. Calculate the highest common factor of c and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5325, -10648, -15971?\n\"Answer: -5323*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*v + 5*y + 151, 0 = 2*y + 8. Let f = 101 - v. Let a be (-2)\/(-15) - 10\/f. Solve 4*x - 2*x + 4 = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*f, -528*z + 524*z + 120 = -8*f for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5 - 11. Let o be f\/4 + 32\/(-14). Let i = 10 - 6. Put o, -2, i in decreasing order.\nAnswer: i, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10000 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(2 - (-98)\/(-52)). Let v = q - -15. Is 0 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + 3 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let q be f(1). Suppose q*v = -10, -6*v - 21 = y - v. Calculate the smallest common multiple of 14 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let d be (-1 + 11)*28\/5. Let j(s) = d*s + 3*s + 48*s + 2 - 2. Determine q(j(z)).\nAnswer: 214*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q**2 - 5*q - 2. Let j(m) = 13*m**2 - 6*m - 3. Let u(r) = -2*j(r) + 3*l(r). What is the second derivative of u(w) wrt w?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 24*h - 12*h. Suppose 4*y + 130 = 3*n + 3*y, h*y = 8. What is the remainder when 131 is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 145. Let v be 3\/(-12)*t\/(-20). Which is the closest to -2\/3? (a) -2 (b) -13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 4*w**4 - 4*w**4 + (2 - 1 - 3)*(0*w**4 + w**4 + w**4) - 4 - w**4 + 4 - 38526*w**2 + 38526*w**2 + 156*w**4.\nAnswer: 149*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -329, 0.6?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:04 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1912*j**2 - 86033*j - 315 = 0.\nAnswer: -7\/1912, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3 + 1011*z + 1)*(-3*z**4 + 5*z**4 - 4*z**4 + (0*z**3 - 5*z**3 + 3*z**3)*(4 - 4 - z) + 0*z**4 - 2*z**4 + 4*z**4 + 3*z**4 + z**4 + z**4).\nAnswer: 7077*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1258 + 1270. What is the highest common divisor of 948 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82.1 + -82. What is the closest to -1\/3 in r, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 0, -2489?\nAnswer: -2489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 5)\/(-3) - 2. Let n be 2 + (-1 + 2)*v. Let o be (-4*1)\/(7\/((-49)\/7)). Sort 1, o, n.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Let x(g) be the third derivative of 0*g + 3*g**2 + 0 + 1\/4*g**4 + 0*g**3. Determine x(a(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 44468721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 0 + 6 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 k when four letters picked without replacement from skssssssssssskssssss?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102201 + -11?\nAnswer: 102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5466756 divided by 12?\nAnswer: -455563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + -1 + -5)*2)**2.\nAnswer: -288*sqrt(13) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6 - 6 + 35 + s - 12. Let x(u) = 3. Let a(w) = p(w) - 3*x(w). What is a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79586 or 79590?\nAnswer: 79586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 946 * -3\nAnswer: -2838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 431?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 5*m + 3. Let o(c) = -c**3 + c - 2. Let x be o(-2). Suppose -x*j = -2*p - 0*j - 10, 3*j = p + 10. What is the units digit of y(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*x + (-1 - 4 + 4)*(-4*x + 4*x + 2*x) + 2*x - 2*x + x + 2*x - 4*x + 0*x - 3*x + 6*x - 2*x + (-7*x - x + 2*x)*(-13 + 22 - 23).\nAnswer: 85*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8 + 1373200*u**3 - 1373199*u**3 - 5 - 5*u + 2*u**2 + 2*u**2. Suppose 5*f + 3*b + 10 + 24 = 0, 0 = -3*b - 9. Calculate c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16753 and 4730?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(72)\/sqrt(6).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - (-4558388)\/1057728) + -7. Let l = -1\/12592 + t. Calculate the common denominator of l and -163\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u - 3. Let h(f) = -27*f. Determine p(h(n)).\nAnswer: 243*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011100111110 (base 2) in base 7?\nAnswer: -316435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198 or 199?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/285, 1, 1\/209, 4?\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 3*k**2 - 4*k)*(20 - 26 + 25*k + 5) to the form x*k + s*k**3 + o*k**2 + d and give s.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1053) + (sqrt(1053) - (-2*sqrt(1053) - sqrt(1053))) + sqrt(1053))**2 + 1) + (-4 + (-3*sqrt(130)*1)\/sqrt(10))**2.\nAnswer: 24*sqrt(13) + 75951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-18)\/(-12))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 488, 682, 876?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -36. List the prime factors of ((-4)\/w)\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5473.382 hours to milliseconds.\nAnswer: 19704175200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -276a?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1620 = -3*k. What is the least common multiple of 5 and (-24)\/k + (-872)\/(-108)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 622? (a) 2 (b) 4 (c) -1\/4 (d) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:40 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1380*r**6 - r**5 + 14334*r**2 - r?\nAnswer: 165600*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 10, 38, 78, 130?\n\"Answer: 6*u**2 - 2*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 58653.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 3*m, -4*m = -2*m. Let a(t) be the first derivative of -1\/4*t**4 - 6*t**2 + 8*t + q*t**3 + 1. Factor a(k).\nAnswer: -(k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/582 and 35\/776?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 18*z + 33. Determine g(6).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6*i - t = 1015, i - 4*t = 320. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -1\/4, -1, -4, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 12. Let p = f - -15. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*y - 117*y + 352*y + 335 = -6865 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -3, 432, -60 in decreasing order.\nAnswer: 432, -3, -4, -6, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -4*r. Suppose -256 = -4*q - 5*m, -q - m - 73 = -2*q. Let c(g) = 13 + 64*g**2 + g - 7 - q*g**2 - 5. Give c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.33. Let c = x - 5.07. Let i = 3.8 + 1.2. What is the nearest to 0.1 in c, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - (-279 - -3)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 12. Suppose 0*t = i*t - 9. Suppose -t - 7 = -5*m. Solve -2*w = 6, 3*h + 14 = m*w + 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - 2bf?\nAnswer: -2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*h + 4, -5 = 4*h + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 9*d + 2*t + 62, 2*d + 2*t = 22. What is the remainder when (-1)\/((-2)\/(-3))*-38 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 5684?\nAnswer: 11368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4692 and 1380?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 334*l**2 + 1. Let v be y(3). Let n = v + -1995. What is the tens digit of 3\/(-21) - n\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 38*a**2 - 58*a + 296. Let x be r(5). Solve -u = -x + 959 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = w - 62, 3*w - d + 0*d = 194. Let s = -47 + w. Calculate the remainder when 32 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/20 - (-4)\/((-1320)\/27)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/18)\/(18\/(-27))*-12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/12*(-7)\/(70\/(-18))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40845942 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 + 2824*i + 14116\/5.\nAnswer: 4*(i + 1)*(i + 3529)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 39 + 37*a**2 - 74*a**2 + 38*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - -6) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2517 by 1.\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -52107.70586 to the nearest ten.\nAnswer: -52110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.02, -3 in ascending order.\nAnswer: -3, 0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110370 - 78141973\/708. Find the common denominator of j and 89\/282.\nAnswer: 33276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898850 is divided by 295?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/163 and (-4 - -2) + (120\/(-7))\/(-4).\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*a = 4*o - 85, 0 = -2*a. Suppose -5*q = 3*u - o, -21 = -5*q - 4*u - 5. Let y = -39 - -43. What is the smallest common multiple of q and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -13 in descending order.\nAnswer: 18, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*r + 12, -4*q + 8*r - 13*r + 13 = 0. Suppose 5*h - q*h = 5*w - 181, 5*w = h + 177. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*sqrt(48)\/sqrt(2) - sqrt(24))\/sqrt(8).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108935 + 108935.00000052251. What is p rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 30*g + 51)*(-10*g**2 + 2*g**2 - 7*g**2).\nAnswer: -450*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312549698 divided by -4.\nAnswer: -156274849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 + 16 - (23 + (-1 - -2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 84. Suppose j*n = 7 - 92. Let d(b) = b**2 + 20*b + 18. Let p be d(n). Are -34 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73.8 + 73.802565. What is m rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -20, -7, -1\/9, 35, -4, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 31*t + 1091 - 188 = 0 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29541929 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*x - 64 + 42 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*d**2 - 5*d**4 + 360 + 191*d**2 + 15 + 268*d**2 - 800*d - 40*d**3 + 242*d**2 = 0. Calculate d.\nAnswer: -15, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 5*g**2 + 4*g + 3. Let k = 12 + -16. Let w be d(k). Solve -1 = 4*z + w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23391585 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) 1\/8 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 1, -4, -1\/5, 1\/6, 2296, -3\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(-16)\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -1.7. Let n = 5 + -5.4. Put n, m, -1 in ascending order.\nAnswer: -1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 504311 + 24?\nAnswer: 504335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4508.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 477*x**2 + 12542*x + 4011. Give l(502).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 829836 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13301111 (base 4) to base 6\nAnswer: -403205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2 - w**3 - 2*w**3 + 9 + 3*w**3 + 5*w - w**3. Let h be y(7). Put h, 0, 2 in decreasing order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 take away 1281?\nAnswer: -1280.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373 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: List the prime factors of 461189878.\nAnswer: 2, 43, 1213, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 9. Let p(w) = 31*w - 109. Let x(u) = -6*i(u) + p(u). Calculate x(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1218.7608ns?\nAnswer: 0.00000002031268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0, 4, 2, -2, -217 in decreasing order.\nAnswer: 4, 2, 0, -2, -48, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 7 = -5*i + 4*a, 4*i + 4*a - 32 = 0. Let r(b) = -6 + 14 + 0*b - b**2 - i*b + 0*b. What is r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeb when three letters picked without replacement from jbe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**3 - 3*o**3 - 2*o**3)*(o + 0*o + 0*o) - o**4 - 2*o**4 + o**4 - 9*o**2 + 9*o**2 - 4*o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cc0 + 2?\nAnswer: cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*i = -978, -1304 = -4*y + i - 3*i. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5098 + 5103. Solve 0 = -3*x + 15, -m + x + 2 - y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Let o = -11 + 18. Suppose -2*s + 3*t + o = -15, 2*t + 4 = 0. Solve -7 - 4 = h*q + v, s = -3*q - v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, p: 7, f: 2, r: 3}. Give prob of sequence uffp.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/(-18) + 5 + -8 + 13?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c + 285. Let y be q(53). Calculate the highest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4652088*k**3 - 2*k**2 + k + 220577 wrt k?\nAnswer: 27912528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 18135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s + 1. What is the remainder when g(-2) is divided by ((-3)\/(-2))\/(66\/352)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -7, 1.\nAnswer: -7, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 take away -0.0427?\nAnswer: 51.0427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 1, r: 6, w: 5, x: 2}. What is prob of sequence jxw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035378 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (-59 - (13 + -129)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 - 26 = 0. Let f = 1.8 + -2. Let l = -1221 - -1220. What is the closest to f in l, t, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 + (-12830)\/(-50) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dc542 (base 16) in base 6?\nAnswer: 31202030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -10.294\nAnswer: 0.5147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 829 and 827 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/12)\/(1*-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35130*g**4 - 22900*g**2 wrt g?\nAnswer: 843120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 20119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 3, 0.18, 2, -0.4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 - (-6 + 8 + (0 - -2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/132616 and -39\/66308.\nAnswer: 132616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) 1\/59 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 284654959.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = -l. Let z = 10 + l. Suppose v + r = 124, 6*v - 2*r - 478 = 2*v. What is the highest common divisor of v and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155437538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25 + -26 + (-442)\/(-1). Let s = o - 447. Let z(c) = -c**3 - 6*c**2 - 2*c - 7. Determine z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2121486.\nAnswer: 424297.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 476, 985, 1494?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 280 - 5*q - 223 - 245 - 168 as r*q + k and give k.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-256)\/(-5) + 2\/(-10). Let q = 140 - i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(3) + sqrt(12) + sqrt(3)) + sqrt(35))\/(-1*sqrt(180)).\nAnswer: -5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 142, 306, 460, 598, 714, 802, 856?\n\"Answer: -u**3 + u**2 + 168*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 100. Suppose -4*b + 0*c = 3*c - 55, -5*b - c + 66 = 0. Calculate the remainder when n is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:52 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084 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: Let s = -31 + 36. Suppose 0*j + 825 = 4*j + s*p, -j - 4*p + 198 = 0. Does 15 divide (5\/2)\/(15\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/10561 - -158423\/42244. Let z(b) be the first derivative of j*b**4 - 11\/2*b**2 + 0*b + 0*b**3 + 4. What is the second derivative of z(x) wrt x?\nAnswer: 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z + 15. Let p(a) = a + 4. Let s be p(0). Suppose x - 3*j = 15, 2*x + 0*x - 20 = s*j. List the prime factors of i(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100644.999911733 + -100645. What is i rounded to 6 decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55 - 2 - (-56)\/(-14). Suppose 5*o + f = y, 5*y - o = -0*o + 173. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 12. Let i be o(4). Let t(j) = 7*j**2 - 4*j + 5*j + 4*j - 3*j - j**3 - i. Let d be t(7). What is the highest common divisor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 236*r**2 + 1390*r - 3728.\nAnswer: (r - 2)*(r + 8)*(r + 466)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 28. Let m(t) = 8*t**2 - 2*t + 3*t - w*t**2 - 2 + 0. Suppose 26*o = 29*o + 3. Let f(b) = b**2 - b. Give o*m(s) - 2*f(s).\nAnswer: -3*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789700 a multiple of 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 108 = 5*a, 2*w - 3*a - 81 = -w. Let t = w - 25. Suppose -29 = -t*p + 53. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/25)\/((-112)\/(-70)). Factor -1\/8*l**2 - x + 1\/4*l.\nAnswer: -(l - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**4\/12 + 7*m**3\/6 - m**2 - 4*m. Let p be z(6). Solve -3*s + c = -p*c - 16, 4*s + 5*c + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (-5 + (3*sqrt(684)*4 - sqrt(684)))**2).\nAnswer: -331176 + 2640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/4 - (-2)\/(-2)*-37. Suppose -y*d + 12 = -35*d. Solve d = -0*k + k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d - 1. Let a(j) = -3*j**2 + 8. Let u(p) = a(p) + 4*g(p). Factor u(t).\nAnswer: (t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.423 rounded to 2 decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-12) + (-6)\/24)*6. What is the nearest to f in -4, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3848*p**2 + 4*p. Let z(i) = 1271*i. Calculate z(r(j)).\nAnswer: 4890808*j**2 + 5084*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 11:56 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313067790 by 42.\nAnswer: -7453995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(360)\/sqrt(5) + -3 + sqrt(288) + -2)**2.\nAnswer: 120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10 - 81*t - 47 + 88*t - 17. Let l be g(7). Sort 5, 4, l, 10.\nAnswer: l, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124881359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*s + 46*s + 3900 = 52*s + 608 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 53?\nAnswer: 18\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**2 + v + 1\/2*v**3 + 0. Let h(x) = -4*x**2 - x**2 + 3*x**2. What is h(u(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6739, -6679, -6633, -6601, -6583, -6579, -6589?\nAnswer: -6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/4 + -5\/2. Which is the closest to -0.1? (a) m (b) 1\/10 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105.3 + 99. Let n = 6 + v. What is the closest to -0.1 in -3, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*l - 10*h**2 - 235*h*l - 467*l + 9 with respect to h.\nAnswer: 4*h*l - 20*h - 235*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 165 in decreasing order.\nAnswer: 165, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -184, 2, 4, -5, -1 in decreasing order.\nAnswer: 5, 4, 2, -1, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.3. Let t = -7.4 + 7.3. Let z = -0.1 - -0.2. What is the biggest value in g, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*b**3 - 4*b**2 - b - 47 wrt b.\nAnswer: 90*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 26. Suppose -2*x + 16 = -42. Suppose 0 = u + 2*n - 34, 0 = 2*u - n - 24 - x. Let s be l(u). Solve -5*g = -13 - s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5655)\/30)\/29 + ((-21)\/(-6))\/7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 3*h = h. Let k be (h - 2)*((-1)\/(-2) + -2). Solve 0 = k*g - 12, -s - s + 3*g - 18 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2594452 and 11.\nAnswer: 28538972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (10 - ((23 - 35) + 4))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1, -0.02, 5\/7 in descending order.\nAnswer: 5\/7, 1\/2, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7057*r + 12 - 12.\nAnswer: -7057*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1230 and 62220?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s - 9 = 0, -4*r + 2*s - 6 = 0. Let g(u) = u**3 + u + 1. Let n be g(r). Solve i = -5*k + n, 0 = -4*k - 7*i + 2*i - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 916373\nAnswer: -916370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13791 - 8785. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:09 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1705 - 3861. Let c = d + 4539. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:33 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u - 2*u + 2*u)*(-u**2 + u**2 - 4*u**2) + 0*u**3 - 3*u**3 + u**3)*(-5 + 3 + 0).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 23785*v. Let t(h) = 267*h - 5*h - 261*h. Calculate t(d(z)).\nAnswer: 23785*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -1.2581?\nAnswer: 1.6581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebbe when four letters picked without replacement from {i: 4, b: 4, e: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose 0 = t*y + 3*y - 65. Suppose -3*g + 37 = y. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 4*g + 9 = 0. Let r be g + 0 + (-5)\/(-1). Let x(b) = 4*b - 2*b + 3 - b + r*b. Calculate x(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from rrkrlrrkkl.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = b - 22, 3*x + 2*x = -4*b + 28. Let u = 6 - x. Is u\/9 - (-370)\/(-18)*-59 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1 + 106*k**2 + 8 + 268*k**2.\nAnswer: 374*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1094 * 0.87.\nAnswer: -0.095178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -26 (c) -1521\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*h - 111 - 128 + 296 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21288241*k**6 + 2500274*k**2 + 3 wrt k.\nAnswer: -2554588920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 4:36 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(2\/4). Let d be (-3 + (-515)\/(-170))*(-516)\/28. Let m = -8\/17 - d. Are m and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12403?\nAnswer: 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7663533*d**3 - 3*d**2 - 3*d - 5500.\nAnswer: -45981198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 4*k + 38, 1975147*w - 35 = 1975152*w - 3*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20727, -41489, -62279, -83103, -103967?\nAnswer: -124877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 3*z + (-1 - 1 + 4)*(0*z - 3*z + 5*z) - 5*z + 4*z - z)*(13 - 9 + 35)*(-z - 4*z - z).\nAnswer: -936*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4597252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2432398, -4864797, -7297196, -9729595?\n\"Answer: -2432399*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 5*w - 1. Let v(s) = 4*s**2 + 6*s + 1. Let f(x) = 6*c(x) + 5*v(x). Suppose -2*h = -4*h + 2. Let r be -2 - (-1)\/(0 + h). What is f(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54512167 is divided by 3244.\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3664201 to the power of 1\/2, to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961236 is divided by 41770.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6814.3117 - -6814. Let o = 0.31 + c. What is o rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3132 is divided by 1553?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001398139349 rounded to 6 dps?\nAnswer: -0.001398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*l + 1683 = 81*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 + 41 - 2*r - 97 as k + v*r and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.716769nm in kilometers?\nAnswer: 0.000000000000716769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 6) + (0 - -6) + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76 + u**2 - 86 - 2*u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2734, -10944, -24630, -43792?\nAnswer: -68430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 + -13 + -3 + 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10137 - 10129. Suppose 5*s + 76 = w - 2*w, -5*w + s - 484 = 0. Let g = -65 - w. What is the remainder when g is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 4*w + 0*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10*48\/60.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/(i\/(i**1\/i)))**(-2\/17)\/(i*i\/(i\/(i\/(i*i**(-9))))*i\/(i\/(i\/(i\/i**(-1\/3)))))**(-37) assuming i is positive.\nAnswer: i**(18205\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.9+-308114327.76\nAnswer: -308114326.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaayappy. What is prob of picking 1 p and 1 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 21132*k**2 + 49617936*k - 38834304576 = 0. What is k?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**3\/v)**(-6\/11))**16 assuming v is positive.\nAnswer: v**(-288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -550*p**2 - 2*p. Let c(j) = 3*j. Give q(c(a)).\nAnswer: -4950*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*d - 38. Let c be d\/6 + (2 - 4). Sort 1\/7, -1\/3, c.\nAnswer: c, -1\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -12. Let s = -5 - d. Does -3 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 38 = -6. Which is greater: -11\/36 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.9 - 14.841. Round a to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -322.654045 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*o - 4*p, o - 100 = -4*o + 3*p. Suppose 4*l - 91 = 45. Let c = 46 - l. What is the smallest common multiple of c and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-18))\/((-3648)\/864).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110.792 take away -377?\nAnswer: -733.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 0 - 4*c**2 - 1 - 1 + 5*c. Let m be r(3). Let q(n) = 4*n + m*n**2 - 3*n**2 - 4*n. Let o(k) = -k**2. What is q(o(b))?\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than 1.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/2)\/(1\/(-2)). Suppose -2*l - g*d + 20 = 3*l, -5*d = -l + 4. Suppose -i = l*i. Solve -10 = -5*x - 5*z, -2*x + 3*z + z - 14 = i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (-7 - -4) - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506200 by -20.\nAnswer: -25310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 457374923 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Sort w, -2, 4\/9.\nAnswer: w, -2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 13. Let i be t(9). Let o be 18\/i*(-8)\/(-12). Find the second derivative of -s**5 + 3*s**2 - 3*s**2 + o*s + 2*s**5 wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 2094763?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -584 (base 15) to base 8.\nAnswer: -2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*n**2*x + 6*b*n*w**2 - 3*b*w - 46*n**2*w*x - 2*n**2 - w**2*x wrt x.\nAnswer: -3*b*n**2 - 46*n**2*w - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 49*x - 12. Let f be d(16). Suppose f*m - 22 = -7*m. Solve -2*n = -2*g, 0*n - 15 = -3*g - m*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5, -50, 556, 3, 0 in decreasing order.\nAnswer: 556, 5, 3, 1, 0, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:45 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c - 60 = -5*v, -3*v = -4*c + 34. Suppose -2*u + c = -2. Calculate the remainder when 10 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 29*u**2 + 158*u - 31. What is the hundreds digit of b(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -98, -174, -268, -386, -534?\n\"Answer: -y**3 - 57*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0403727195 to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -4 - (5 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221220*t + 73855*t + 2*t**2 + 73515*t + 73850*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -20*g. Let z(y) = -34*y**2 - 2007*y - 58. Let k be z(-59). Determine c(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 56*s. Let d be g(1). Suppose 4*h + 4*f - d = 0, -2*h = -h + 5*f - 30. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1521825 - 4.688.\nAnswer: 1521820.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 126589105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.44 + 2.14. Which is the second smallest value? (a) 11 (b) -2 (c) t (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 less than -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 4. Let w = -2.104 + 2.57. Let g = w - -0.134. What is the smallest value in v, 4\/3, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 7*a**3\/3 - 2*a**2 - 11*a - 12. Is q(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 6) to base 10.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/9*(-261)\/696. Sort w, -9, -8, 1 in increasing order.\nAnswer: -9, -8, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -249 - -26a3?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 5*o - 11180*o**2 - 1 + 0 + 4932*o**2 - 16956*o**2.\nAnswer: -23204*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23002 and 4081?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126608 and 51?\nAnswer: 6457008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*n - 8 = -20, 3*f - 5 = -2*n. Suppose -5*d = -5*l + 55, -45 = -0*d + 5*d - 3*l. What is the tens digit of f - 1 - (d - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70024235395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69665415\/458 + 152108. What is the common denominator of k and -56\/25?\nAnswer: 11450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c, -q + 5*c + 28 + 9 = 0. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*m**2 + 297*m**2 - 46*m - 145*m**2)*(-2*m**3 + 0*m**3 + 3*m**3).\nAnswer: -5*m**5 - 46*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45552000 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and (-1)\/4 + 81\/4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 8)*(1647 - 456 + 430)*(-1 + 1 + g) in the form h + c*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2539.8 - -107\nAnswer: -2432.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 28 + 603 = -2*p, 2*p - 639 = i. Let s = i + 1187. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 13) to base 9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 13*p + 4*d - 5 = 0, 2*p = 2*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 612114119.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2 - o + 7. Let d be h(-7). Suppose -10*z + 66 = -d. Let n be (42\/z)\/(4\/32). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8320)\/(-30) - 1\/(3\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/3)\/(55\/66). Put 0.2, h, 3\/4 in increasing order.\nAnswer: 0.2, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/3, -3, 11085\/122 in descending order.\nAnswer: 11085\/122, -3, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (48 - 9447\/1034).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -313, -336, -381, -454, -561, -708?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = 4*z + 2*q, -3*z + 4*z - 164 = 3*q. Let c = -144 + z. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (-6 + 13 + -3). Solve -4*z**2 - z - 24 + 18*z**2 + 4*z + 10*z**2 - 3*z**h = 0 for z.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/43438356 and 17\/43438356?\nAnswer: 43438356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from {a: 6, u: 4, b: 3, c: 2, s: 1, n: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68018.\nAnswer: 2, 71, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -1\/20*c**5 + 16 + 0*c**3 + c + 7\/30*c**6 + 0*c**2 + 5\/3*c**4. Find the third derivative of k(n) wrt n.\nAnswer: 168*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 203, -10, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*g + 534*g + 27 - 27 in the form x*g + j and give x.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -54. Suppose b = 2*o + 24. Suppose -2*r + r - 3*w + 16 = 0, -4 = -w. Put o, 2, r in increasing order.\nAnswer: 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1302?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9951.63 + -10612. Let c = 665 + l. Round c to 1 dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-620)\/(-93)*81\/(-1512).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2. Let q(j) = -4*j**2 - 26*j + 6. Determine q(t(u)).\nAnswer: -16*u**4 - 52*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7437 to 2 decimal places.\nAnswer: -3.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**25)\/g**(2\/21) assuming g is positive.\nAnswer: g**(544\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10533516 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/d*d\/d**(-7)*(d*d**(2\/7)\/d)**(-2\/3)*((d**4)**(-4\/3))**(-1\/23) assuming d is positive.\nAnswer: d**(20\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*q = 17*q + 8139 - 1376 + 2611 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 7*p**2 + 7*p - 1. Let q be f(6). Let u be 2*(2 + (-15)\/6). Let x = u + q. Solve x*k = k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -847 - 829 + 1442 - 2*n**2 to l*n**2 + b*n + p and give p.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n - 9. Let f be y(-8). Suppose -16 = 4*c, -z + f = -5*c - 5. What is the closest to -2\/3 in 0.4, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from ibllijllimllmlii.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a - 12. Let t be i(11). Let q = t - 29. What is the remainder when q is divided by 25\/2 - (-2)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 2*y - 9. Let a = -1 - 4. Let u(n) = -2*n**2 - 3*n - 14. Let s be 16\/56 + 108\/14. Give a*u(w) + s*z(w).\nAnswer: 2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (((sqrt(68)\/sqrt(4) + sqrt(17))*6)**2 - sqrt(1700)*5))*-1.\nAnswer: -250*sqrt(17) + 12250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -29)*1\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 4, 27, 14, -0.3 in ascending order.\nAnswer: -0.3, 3\/8, 4, 14, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*h - 3 + 6, -27 = 4*t + 5*h. Which is the nearest to 0.1? (a) 0.2 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5121600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 700\/112 + (-3)\/(-4) + -2. What is the closest to 8 in v, 0.5, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13932747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 12:28 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23432 and 16472.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -432*s + 6122. Determine c(15).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3153688 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (1 - (-2 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 2*l**2 - l**2 + (-9 - 3 + 5)*(2*l**2 + 0*l**2 + 4*l**2))*(-1 - 4 + 3).\nAnswer: 82*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8208 and 58\/153333.\nAnswer: 46613232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.1 (c) -1 (d) 1\/2 (e) -0.059 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o - 3. Let g be 0 - (o + -3 + 2). Solve g = c + 4*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -364\/759 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-12))\/(s*s**15*s*s))**(-5\/16) assuming s is positive.\nAnswer: s**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133223886 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + -4 + sqrt(2))*5.\nAnswer: -35 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32090909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -133, -306, -617, -1108, -1821, -2798?\nAnswer: -4081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255762 and 72774?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = 11. Suppose 4*h - 4 - p = 0. What is the common denominator of -3 + (h - 332\/(-24)) and -93\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91620308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -817.3 + 817. What is the third biggest value in 0.1, 8, i, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1578.5093 and -0.45629.\nAnswer: 1578.05301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:40 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*f = 183*f - 47160. List the prime factors of f.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(11\/(-66)). Sort -0.3, n, 0.1.\nAnswer: -0.3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 199, 356, 563, 826, 1151, 1544?\n\"Answer: o**3 + 16*o**2 + 58*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-18))\/4 - 715\/(-3465).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200 in -2\/19, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*u**3 + 3*h**3 - 23*h*u**3 - u**3 + u wrt h.\nAnswer: -6*h*u**3 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-23)*6\/(-27)*(-49)\/(-28)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = j + 3. Let l = j - 21. Suppose -s - 192 = -l*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -83, 3, 0, -2, 25.\nAnswer: -83, -2, 0, 1, 3, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 20 - 32 + 17*b to l + v*b and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*x - 948 = -165*x. Calculate the greatest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3652327 rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0548017 - -181477773?\nAnswer: 181477772.9451983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2*v + 19. Let w be (19 - (-695)\/(-35))\/(1\/(-7)). What is n(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 863.2607 centuries?\nAnswer: 8632.607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27908.92 rounded to the nearest one hundred?\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 202, 0.09867 in ascending order.\nAnswer: 0.09867, 0.1, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85206, 85203, 85200, 85197, 85194, 85191?\nAnswer: 85188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(192\/4))\/1)\/(24\/16).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11873*q = -14*j - 11878*q + 16, -4*q = 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -0.3 in decreasing order.\nAnswer: -0.3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Solve 4*c + 5*i + 1 = 0, -i = 2*c + 2*i + y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901518 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010858556 to four dps.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = -6. Find the third derivative of 4*k**6 - 2*k**6 - k**m - 4*k**2 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4106807366?\nAnswer: 2, 23, 89278421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4*2\/(-4))\/(4\/102) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2. Let i(g) = -g**3 - g. Let p(a) = 4*i(a) - 5*t(a). Let d = -41 - -47. Is p(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -470 + 469.99. Let q = 0.010000133 + m. Round q to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kexhj. What is prob of sequence kx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271593 is divided by 547?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 124369457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -1, 0, 295, -4.\nAnswer: -6, -4, -1, 0, 1, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1638146\nAnswer: -5\/1638146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.1317 litres in millilitres?\nAnswer: 93131.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:44 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from qvqdkqqqvqvkdqqvk?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 67 = 2*h + 73, 41*v - 12 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 5*v = -24. Find the second derivative of -12*g**4 + 0*g + g - 71*g**v wrt g.\nAnswer: -996*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 1, b: 6, x: 4}. What is prob of sequence aa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwww. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 44733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708244 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 203 = 45. Suppose -6*w = -53 - h. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4571\/12 - -381. Are 8 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 6:14 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 5 + -15 - 14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.1, -2\/7, 1034?\nAnswer: 1034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1017 divided by -339.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/(-21) - (-3)\/((-9)\/(-4)). Which is smaller: -36 or t?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**4\/2 - 5*m**3\/3 + m**2 - 4*m + 1. Let i be v(5). Suppose -i = -2*j + 3*q, -4*j + 0*q + 272 = 4*q. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9252.704 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 8*z + 6. Let o be b(5). Let n(t) = -t**3 - 8*t**2 + 14*t + 9. Let f be n(o). Find the common denominator of 157\/42 and ((-47)\/f)\/(12\/(-24)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675762650 to the power of 1\/3, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315516 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23665 and 305.\nAnswer: 1443565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6033897 and 273.\nAnswer: 549084627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 453 - 893 - 33*x + 466 as t + a*x and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 163. Find the third derivative of 121*r**3 + j*r**4 - 120*r**3 + r**4 + 6*r**2 wrt r.\nAnswer: 24*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(22))\/sqrt(2) + (-4*sqrt(88))\/sqrt(8).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-336)\/2)\/12*(-15)\/(-70)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1994532)\/(-46820) - (52\/20 - 3).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 13\/3*z**3 - 1 + 0*z + 0*z**2. Let x(d) = -2*d**2. Calculate w(x(t)).\nAnswer: 52*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/29 and 2 + ((-78)\/48 - -5).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/24 + -103\/168. Which is greater: b or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t**3 - 101*t**3 - 1376*t + 196 - 164*t**2 + 60*t**4 + 268 + 1261*t**3 + 533*t**3 = 0. Calculate t.\nAnswer: -29, -1, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2 - z - 5. What is the remainder when 184 is divided by p(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 2, 27, 62, 107, 162, 227?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148899*p*t**3 - 7*p*t**2 + 151*p*t + 3*p - 2*t**2 wrt t?\nAnswer: -893394*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 - 10*f + 11. Let t be c(8). Let k(s) = -4*s**2 - 7*s - 7. Let h(j) = -2*j**2 - 4*j - 4. Give t*h(u) + 3*k(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 181350, 0?\nAnswer: 181350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-20)*1)\/((-4)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 1. Let h(t) = t**3 - 2*t**2 - 4*t + 2. Let o be h(-2). What is v(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:14 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033972 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -0.4, 3\/2, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00824292 rounded to four decimal places?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-258)\/215*(-5)\/18)\/((-100)\/(-15)))\/(-4).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 1. Let v(j) = 5*j + 3. Let c(h) = 3*s(h) - v(h). Suppose 8*b = 4*b + 8. Let r(i) = 25*i**2 - 9*i**b - 3*i**2. Calculate r(c(n)).\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - b - 5766 = 0, 11*h = 14*h + 3*b - 8667. List the prime factors of h.\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 6*d**2 - 3*d - 10. Let x be k(5). Suppose x = -4*s + 5*j, s = -s + j. Let b = -0.1 + 0.5. What is the nearest to s in -1\/2, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 2*y - 23, -4*f + 4*y - 4 - 20 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 536940.9ng in tonnes?\nAnswer: 0.0000000005369409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1087b3c8?\nAnswer: 1087b3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*v + 10*m, -17 = m - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p. Let g(j) = 710*j. Calculate g(y(f)).\nAnswer: -2130*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/15 of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Suppose 4*v + z*v = 2*v. Solve -2*a - 2 = -2*l - v, 5*a = -l - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*y**4 - 42*y**3 - 2*y + 5481 wrt y.\nAnswer: -624*y**2 - 252*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n - 25. Let z(d) = -9*d + 26. Let x(v) = -7*s(v) - 6*z(v). List the prime factors of x(-26).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6449246?\nAnswer: 2, 19, 23, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/10 + (-151)\/(-2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 64 + 9 = 0. Solve 0 = -3*n - z*b - 7, 4*n = -n + 3*b + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 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 the square root of 9626 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629*r + 1564*r + 321*r = -1118*r - 37056 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**5\/60 + 7*b**4\/12 - 67*b**3\/6 - 38*b**2. Let s be a(-18). Calculate the highest common divisor of s and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 8372\/(-462))*33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 9. List the prime factors of (-6)\/n + 7\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*g - 12, -4*g + 5 = -r + 11. Let i be (-38)\/r + 2\/(-3). Let u(k) = k**2 + k - 5. Is u(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 216 = 31*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 11) to base 6.\nAnswer: 21314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 7. Suppose -4*y = r + 2*r - 14, 5*y = -4*r + 17. Suppose -y*s = -3*s + 4. Put s, -0.2, o in decreasing order.\nAnswer: -0.2, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13895600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100011011000000111111 (base 2) in base 6?\nAnswer: -423405531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28082, -112332, -252746, -449324, -702066, -1010972, -1376042?\n\"Answer: -28082*g**2 - 4*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 185797193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -24.94\nAnswer: 9.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**3 + 3*z**2. Let h(p) = p**2 - 8*p + 1. Let k be h(6). Let s(y) = 3*y**3 + y**2. Let f(r) = k*s(r) + 4*j(r). Factor f(m).\nAnswer: -m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 0.1. Let h = -2.43 + -0.07. Let y = h - -3. What is the closest to -1 in n, y, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/72)\/(1\/2) and 96\/624 - (-1402)\/(-156)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let m(a) = -290*a - 1937*a + 441*a + 515*a. Determine k(m(v)).\nAnswer: 1271*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (4 - 7)) + (-91 - -106) + -14 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**13*f**(4\/5) assuming f is positive.\nAnswer: f**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2400*h**2 + h - 1. Let f = -336 + 337. Let u be t(f). Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 plus 12504?\nAnswer: 12530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.370143us?\nAnswer: 1370.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002658886 to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 23*s = m - 40, 0 = 4*s - 4*m - 60. Solve 2*c = -2*l + 25 - s, -l = -3*c + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 1\/2*m**2 - 11\/12*m**3 + 2*m + 1\/21*m**7 + 7\/40*m**5 + 11\/24*m**4 - 13\/60*m**6 - 11. Determine y, given that z(y) = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 709892.4km?\nAnswer: 709892400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/23*(-35)\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368 + -115. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21681917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/35)\/6*-10. Find the second derivative of -151*w + 55 - 55 + 152*w**l + 9*w wrt w.\nAnswer: 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + 0.123?\nAnswer: 82.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 95*p + 146 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*m**6 + 5*m**5 - 64*m**2 + 9*m.\nAnswer: 15720*m**3 + 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d + 30. Let y(r) = r**2 - 9*r - 7. Let o be y(10). Let m(n) = -n**3 + 4*n**2 + 6*n + 1. Let q be m(5). Solve o*f - q = d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.61939*-17\nAnswer: -299.52963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, -134, -1375, -4020, -8537, -15394, -25059?\nAnswer: -38000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 843 - 765. Calculate the smallest common multiple of a and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(1872) + -2 + sqrt(1872)) + 1 + -1.\nAnswer: -96*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/6 + 1089*z. Let u(m) = 4*m**2 + 17*m. What is u(p(y))?\nAnswer: 16*y**4 + 34*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1088) + 2 + sqrt(1088))*6)**2 + -3 + sqrt(1088) + -2).\nAnswer: 9248*sqrt(17) + 627244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 + 5*r + 7. Let y be j(6). Let g = -25 + 21. Let u be (-12)\/(-18)*-12 + 1 + 2. Put y, g, u in increasing order.\nAnswer: u, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f**3 - 13*f**2 - 8. Let q be ((-294)\/63)\/(2\/(-6)). Suppose -q*j - 127 + 1 = 0. Let i(u) = 4*u**3 - 3*u**2 - 2. Give j*i(w) + 2*s(w).\nAnswer: -2*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*u + 25, -3*u - 2*q - 2*q + 19 = 0. Let n be u - 6 - 3\/(-1). Let w = 5 - n. Solve 4*r = w*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -63. Let y be (-15)\/35 + -3*(-908)\/84. Let i = y + j. Solve 4*r - i = -14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(612)))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -434214302?\nAnswer: -434214302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 4189170.\nAnswer: 8378340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 39. Let l be -1*2 + (v - 3). Let m(p) = -p**2 + 6*p + 3. Let a be m(l). What is the second smallest value in -0.4, a, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/9 - 9\/((-99)\/(-10))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 864.\nAnswer: 863.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2. Let f(y) = 3*y**2 - 1295*y. What is f(r(x))?\nAnswer: 192*x**4 + 10360*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-224)\/(-10) + 10\/(-25). Suppose 4*g = 14 + u. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - p**2 - 7*p. Let t be y(-2). Suppose 30180 = 2*d + t*r, -d - 5*r = -3*d + 30215. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) + (-1522)\/(-14) - -4. Suppose d*p = 122*p - 1584. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642416 by 2.\nAnswer: -321208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*t + 48, -t - 141 = -2*a - 59. Calculate the greatest common divisor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/11, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 + 0.4. Let z be 5\/(10\/(-4))*1\/(-15). Which is the biggest value? (a) 2 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121070133 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82214751.\nAnswer: 3, 27404917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103843 divided by 3.\nAnswer: 103843\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(sqrt(272) + 4*(sqrt(272) + sqrt(272)*-2 + sqrt(272)))**2.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -668a5 (base 11) to base 6.\nAnswer: -2024403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 54*i**5 - 2*i**3 - 25*i**2. Let l(b) = -b**5 + b**3. Let y(f) = -4*l(f) - 2*n(f). What is the third derivative of y(h) wrt h?\nAnswer: -6240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*c - 1)*(1 - c - 1) - 3*c**2 + 0*c**2 + c**2 + (2 + 17 + 4)*(-1 + c + 1)*(3*c - 3*c - c).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -4. Let o be ((-663)\/(-442))\/(1\/(-4)*-2). Calculate the highest common divisor of m and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -251, -374, -497?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3))\/(i*i\/(i**(3\/5)*i)))\/(i**(1\/4)*(i\/(i*i**5))\/i) assuming i is positive.\nAnswer: i**(187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) 0 (c) 1 (d) -46 (e) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 2 - (4 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-5 - 4 + 3) - 2 + 5 - 7)*(-4*u + 0*u + u).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 111 - 25 = 2*n, d = n - 41 + 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 823 divided by 15.\nAnswer: 823\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 v when three letters picked without replacement from {v: 1, c: 1, u: 1, b: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(200))\/(sqrt(60)\/(sqrt(50)\/sqrt(5))).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 163 and 1?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 449, -0.3, -0.4?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 5)\/6*2\/4. Let u(h) = 16*h + 145. What is the hundreds digit of u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 16*c**2 - 4489*c - 86386. Give b(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 4*m + 22. What is l(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6664, 6625, 6554, 6445, 6292, 6089, 5830?\nAnswer: 5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -7, -3, 3, -4, -0.79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 3*w**2 + 2*w. Suppose -h + 0 = -2. Calculate j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.14.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 198*u**2 - 401*u + 572. Calculate k(-200).\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 41*x**2 - 20*x - 3. Determine t(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/9))\/m*m*m*(m**(-2\/9)\/m)\/m)**(-1\/6) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665884, -1332440, -1998996, -2665552, -3332108, -3998664?\nAnswer: -4665220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 1244?\nAnswer: 16172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/6*-6*(-10)\/(-80)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 - -72.08. Let n = 39047734 + -39047805.999961. Let k = n + d. Round k to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-5) + -1 + -1. Let x = -88 + 87.19. Let h = 0.41 + x. What is the third biggest value in -3, h, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 2*i + 2. Let x(z) = -3*z**2 - 20*z. Let v be x(7). Let m = 284 + v. What is r(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14810382 and -169.5.\nAnswer: 14810212.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 63.41. Let r = 1.3 - 1. Suppose 0 = 15*f - 8*f. Which is the third biggest value? (a) y (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74\/3 - 25. Which is the closest to s? (a) -0.5 (b) 1\/7 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from xbbkbdxbd?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1498.07.\nAnswer: -5992.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.94 + -36. Let h = -1 - u. Let i = 0.0036 + -0.1036. Sort 1, i, h in increasing order.\nAnswer: i, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w = 28*w - 1070 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - -3*3*sqrt(133)))\/sqrt(7) + (4 + (sqrt(2736) - sqrt(2736)*3) - sqrt(2736)).\nAnswer: -45*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*u - 10. Let j be (u\/3)\/((-8)\/204). Let l = 17 - j. Which is smaller: 1\/31 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3060085 and 9.\nAnswer: -3060076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -1.9. Let q = -2.8 - z. Let s be (-4)\/((-32)\/23) - 3. Sort q, s, 2.\nAnswer: q, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*z + 516*z**2 + 3\/2*z**4 - 177*z**3 - 1035\/2 = 0. What is z?\nAnswer: -1, 1, 3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2 + 3 + 33\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46200 divided by -40?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*g**3 - 68*g + 0*g**4 - 2*g**4 - 40*g**3 - 2*g**2 + 0*g**2 + 17*g**3 in the form a*g + x*g**2 + f*g**4 + k + l*g**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + 40\/15. Let k be 5*6\/45*l. Suppose -4 + 2 = -k*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881976.9 meters to millimeters.\nAnswer: 881976900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-2 - -3))*4. Solve -4*o = 3*z + 9, 16 = o - 4*z + l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 8 = 0. Let l be (-6)\/(-51) - (-1 + (-404)\/34). Suppose -y = -5*a + l. Solve 0*v + a = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -444, 2, -2089, 1.\nAnswer: -2089, -444, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138000131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8298? (a) -0.1 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -23323.\nAnswer: 9329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Let b(p) = 7*p**2 + 2*p. Give i(b(k)).\nAnswer: -49*k**4 - 28*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*l = -31, 4*h - 3*l = l + 4. Let k = -3 - h. Let u = 164.8 - 165. Which is the third biggest value? (a) k (b) 8\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -617731 (base 8) in base 14?\nAnswer: -5489b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -22*p**3 + 277*p**2 + 6043. Let q(a) = -10*a**3 + 139*a**2 + 3022. Let j(l) = -4*i(l) + 9*q(l). What is the first derivative of j(t) wrt t?\nAnswer: -6*t**2 + 286*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -318.2 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5101193.\nAnswer: 23, 257, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2012132 (base 4) to base 7\nAnswer: -34043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.58161 grams in micrograms?\nAnswer: 60581610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -24.02. Let y = -5.02 + j. Let l = -0.042 - -8.042. Which is the second biggest value? (a) y (b) -4\/7 (c) l (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let n(h) = 1262 - 1494 + 1136*h + 865*h. Let f(q) = -26*q + 3. Let b(z) = -232*f(z) - 3*n(z). What is u(b(l))?\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7172341 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - k - 6. Determine l(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*j - 32738 = -42453 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2303 + -2253?\nAnswer: -5000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2*q = 3*h - 13, -3 = 2*h - q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uauaaaaaauu. Give prob of picking 3 u.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 352\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927 - 1615 = 246*s - 5116 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32\/55 - -2\/5. What is the third smallest value in -0.7, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1413 = -3*f, 321*w + 478 = f + 320*w. Solve f = -2*u + 467 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -43*f**3 - 4*f + 4. What is c(1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.465 and 472.8.\nAnswer: -2111.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 693 + -716. Which is smaller: -31 or b?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 + 152*b**3 + 4332*b**2 + 54872*b + 260642 = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -9) + -11 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1453675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.829834 years to months.\nAnswer: 45.958008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448.8873 - -448.4. Round u to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.8119kg in grams?\nAnswer: 749811.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*-2*9\/15*20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 - 2 - (2440 + -2351)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l - 2 = 0. Let s = l + -6. Let y(h) = -7*h**2 - 5*h - 7. Let k(z) = 10*z**2 + 7*z + 10. Give s*y(f) - 5*k(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -6.6.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13293, 53190, 119693, 212802, 332517?\n\"Answer: 13303*f**2 - 12*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdvzvvdqdjpvzzdqpj. What is prob of picking 2 d and 1 p?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*k + 177353 = -59647. Let f(h) = 3*h**3 - 4*h**2 + 3*h - 4. Let y be f(-6). Let m = k + y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -1 - (-22 + 25 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(77)*-2 - 1*(1*sqrt(77) + sqrt(77)))\/(sqrt(1331)*1 - (sqrt(11) + -2*sqrt(176) + sqrt(176) - sqrt(11)))*4.\nAnswer: -16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2083 divided by -45\nAnswer: -2083\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44114 + 11920 + 149876 = -4135*p - 146958 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*o - 21*r, -o - 3*r - 2996 = -3002 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - f - 30555 + 33223 - 4*f in the form w*f + o and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 3*q**2 - 4*q + 4. Let t be u(-5). Let r = t - 82. What are the prime factors of (12\/r)\/(-1)*316\/3?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(847))*-2)**2.\nAnswer: 88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 28)*(2 - 3). Suppose 5*w - 31 - i = 0. Suppose -16*d + w*d = 0. Solve -s + 0*s + 4 = d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 11*y = -38 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:39 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 39. Let u = 113 + -89. What is the remainder when k is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 14. Let v be b(6). What is the least common multiple of 10 and ((-20)\/(-70))\/(v\/(-42))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67967009899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 529 - -2238. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.214, 2, -0.3, -168\/17?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3649, 28882, 97269, 230386, 449809, 777114, 1233877, 1841674?\nAnswer: 2622081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/12 + i**5\/60 - i**3\/6 + i**2. Let b be g(1). Let h = -8 - -12. What is the greatest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -6 - (-8 + -5)) + -49\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470)*2 + sqrt(30))\/sqrt(6))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 3*s**5\/20 - 3*s**4\/2 + 11*s**3\/2 - 9*s**2 + 71*s - 81. Let c(z) be the first derivative of p(z). Factor c(y).\nAnswer: 3*(y - 3)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1188906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 7*b**2 + 7*b - 4. Let g be -1*(-1 + 0)*-8. Let x be c(g). Let w be 79\/4 - (-1)\/x. Calculate the highest common divisor of 8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*g + 2, -5*s + 3*g + 15 = -9*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, j: 2, h: 2, u: 4, b: 2}. Give prob of picking 1 j, 1 u, and 2 b.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*a + 662*a + 6387 = 1336*a + 28577 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:04 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 2\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = -5*g, -5*j + 0*g = -2*g - 13. Find the second derivative of -345*n**3 + 345*n**j + 10*n**4 - 14*n wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4001019859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s + 8. Suppose 0*c = 2*c + 10, 15 = 4*a + 5*c. What is the highest common divisor of a and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/54 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27005 by -5.\nAnswer: 5401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - 5*p)*(-399*p**3 - 1291*p**3 + 424*p**3) - 3*p**2 + 3*p**2 - 3*p**4.\nAnswer: -1269*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576546684 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-4)*8\/6. Suppose -w - d + 13 = 0. Solve -7*l - v - w = -4*l, -3*l + 4*v = 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(396) + sqrt(11))**2 - (sqrt(88)\/(sqrt(40)\/sqrt(5)))**2) + 3 + sqrt(704)*-2 + 2.\nAnswer: 12*sqrt(11) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385115 is divided by 34956.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35879871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 703140300 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103111 + 3553?\nAnswer: -55114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55460039.\nAnswer: 55460039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*t + 4*o, 227*t - 4*o = 222*t + 44 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31076512 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 2\/(1 - 2). Suppose 2*x = -5*z + 337, 4*z = -5*x + 6*z + 828. Suppose -x = -f - 4*h, h + 537 = -g*f + 6*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 3*j**2 - j - 6. Give f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 11 - 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 435\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2459, -2, 5, -1 in increasing order.\nAnswer: -2459, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/13 - (0 + -1). Find the second derivative of 7*p**v - 5 + 4*p + 5 - 4*p**3 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 16*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11828*j - 11794*j - 541926. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 1. Let m be u(-3). Suppose 5 = k - 2*k. Let v = m + k. Calculate the lowest common multiple of 2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334740 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + g = -g - 50, -2*n + 4*g - 44 = 0. Let w be (-21)\/n*4\/14. Is w at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 4. Let y = -1 - -6. Give i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Let c = -0.031 - 0.009. What is the second biggest value in c, l, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 11 - 5 = 0, 4*y = -5*z - 6. Suppose 4*w = 4*t + 8, -1 = 4*w + z*t - 3. Put w, -4, 3\/7 in decreasing order.\nAnswer: w, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v + 31. Let p be t(4). Find the third derivative of 3 - p - 48*f**3 - 9*f**3 - 8*f + f**2 wrt f.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54323743, -54323744, -54323745?\n\"Answer: -u - 54323742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30505.2 plus 138334?\nAnswer: 107828.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*f - 113 = 0, -3*f = 3 - 0. Let t = l + -19. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9555.041 millimeters to micrometers.\nAnswer: 9555041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 30.00062. What is l rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*r + 67. Suppose -2*j = -4, -r = 3*x - j - 0. Solve x = -f - 0*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - -0.71. What is the closest to 0 in -1\/9, u, -1\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/25)*f**(-2\/9) assuming f is positive.\nAnswer: f**(166\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - q**2 - 4*q**3 - 57*q**4 + 4*q**3 + 16*q**4 - 2 as d*q**4 + l*q + v*q**3 + a*q**2 + b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -k + 6 - 5, 0 = -3*k - 2*w + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1396003594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/10)\/(2\/30). Suppose 0 = 4*y - y - d. Suppose -5*u + 28 = -3*k, 2*u + 15 = y*u + 5*k. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 9 - 24 - 45 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1659551892 + -1659551755.9999649. Let r = x - 136. Round r to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 10.853581.\nAnswer: -5.4267905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/32*(-50)\/(-75). Suppose 3*f - 6 = -3*c, 3*c - 2 + 8 = 3*f. Let h = -0.087 + 0.587. What is the nearest to -2\/5 in h, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -6*k - 18. Let a be k\/(-9)*(-30)\/(-8). Solve 0 = -2*m + 4*m - a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*f**2 + 2\/5*f - 2\/5*f**3.\nAnswer: -2*f*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-30))\/((-261)\/45 + 3)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.3377 + -14.41. Let o = -0.10641 - y. Round o to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-92)\/(-8))\/((-2)\/16). Let z be 0 - (141 - 6\/2). Let v = t - z. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 - 6*l**2 + 6*l. Let z(m) be the second derivative of -3*m**5\/4 - 11*m**4\/12 + 11*m**3\/6 + 8*m + 3. What is 11*n(v) - 6*z(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/42)\/(5\/10). Let z = -2475\/8 + 309. Let h = -12 - -8. Sort h, n, z in decreasing order.\nAnswer: n, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115.4435487 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.044, 0, -0.2 in descending order.\nAnswer: 1\/4, 0.044, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d = -p + 21, 0 = -5*p + 4*d + 21. Put p, 3, 19 in descending order.\nAnswer: 19, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(sqrt(110) + (sqrt(110) - -2*(sqrt(110) - sqrt(110)*-3)) + sqrt(110) + sqrt(110))\/(sqrt(10)*-2*5))**2.\nAnswer: -36*sqrt(11)\/5 + 3589\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4917580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g + c - 13, 3*c = 15. Suppose -5*o - 45 = -5*r, -4*o - g = 2*r + r. What is the units digit of r + (-6)\/(-3) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2052 * 12083.\nAnswer: -24794316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 107*i**3 + 81*i**2 + 4. Let w(n) = 107*n**3 + 82*n**2 + 5. Let k(u) = 5*l(u) - 4*w(u). What is the third derivative of k(g) wrt g?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253 + 311. Let l(h) = m - 58 + 16*h. Let s(y) = -y. Give l(s(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 + 3*j + 47. Let i be y(14). Let t = i + -14328\/7. Suppose t + 3*c**2 + 33\/7*c + 3\/7*c**3 = 0. Calculate c.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 13 = g - 1, 2*g - 23 = 3*p. Suppose g*c - 2064 = -20*w + 23*w, c = w + 515. What is c rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 11760 = 7*a - 30*a. Solve 6*q - a + 518 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27753 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.271 and -0.5?\nAnswer: 0.6355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -33. Suppose 0 = -v*q - 3*o + 370, 2*q + 3*o - 299 = -2*q. Let b = -74 + q. Let t(n) = -5*n - 2. What is t(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8*w. Suppose 5*r - 14 - 16 = w. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 5*y**3 + 5*y**3 + (5*y**3 + 3*y**3 - 3*y**3)*(5 - 3 - 4) + (-3*y**2 + 5*y**2 - y**2)*(2 - 2 + 2*y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -13. Suppose 2 = -h + 1, q*y + 3*h - 261 = 0. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = -6*g + 21*g. Calculate the common denominator of (-104)\/g*-10*(-4)\/192 and 97\/44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22921.18244 + -0.18244. Let c = k - 22907.931. Let p = c + -13. What is p rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, z: 1, h: 1, e: 1, d: 7, r: 2}. Give prob of sequence dg.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 81936122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*g = 3, 39 = -5*m - 0*m - 3*g. Let t = 3 + m. Let n(j) be the second derivative of j**5\/20 + 5*j**4\/12 + j**3\/2 - j**2 - j. Determine n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + 4*a + 1. Let o = -1 - -4. Let g(m) = -4*m**2 - 3*m - 1. Let b(t) = o*k(t) + 4*g(t). What is the derivative of b(x) wrt x?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5911 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 2176?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34562 and -1298.\nAnswer: -44861476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 - 102*l + 422. Determine f(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -62*p + 5293. Give r(85).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"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: Collect the terms in -3*g**3 - 119*g**2 - 117*g**2 + 463*g**2 - 110*g**2 - 117*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 637780 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-2 - 13\/(-4)). Suppose -j*v - 5*q - 20 = 0, -5*v + 3*q - 2 = 2*q. Does 22 divide (v\/(-3))\/((-7)\/(-903))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2*-2)\/(sqrt(6)*2*-5) - ((0 + 4*sqrt(17) + sqrt(17))**2 - (sqrt(170) + -2*sqrt(170) - sqrt(170))\/sqrt(10)).\nAnswer: -425 - 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -27*a + 3498. What is the least common multiple of g(0) and 990?\nAnswer: 52470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1518 and 21753446?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let i(v) = -14*v - 2. Suppose 0 = 8*n - 3*n - 10. Let p be (-924)\/(-78) + ((-8)\/(-26))\/n. What is p*l(u) + i(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*f + 12, y - 2*f - 2 = 6. Suppose -l = 4*l. Let g = l + y. Solve g = -d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2. Let p(i) = -5*i - 3. Let h(f) = 87*f + 12. Let q(s) = -h(s) - 4*p(s). Determine r(q(k)).\nAnswer: 13467*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22032 and 2916?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2195.307 litres?\nAnswer: 2195307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039404.\nAnswer: 2, 3, 37, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 106 = 88. Let y be (1 + w + 2)\/((-3)\/(-2)). What are the prime factors of (y - (-184)\/(-10))\/(18\/(-135))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/2, -2\/9, -31 in descending order.\nAnswer: 0, -2\/9, -5\/2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 5*y**2 - 5*y + 4. Let t be x(6). Suppose -12*z - t = -17*z. Solve k = z*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1829, 7518, 17105, 30674, 48309, 70094?\nAnswer: 96113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50256540 by 12564135.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6566 and 6566?\nAnswer: 6566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (8 - (-2 - -3 - -9)) - (2 - -98).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10*44077452\nAnswer: -440774520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -12. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2060 + 2061. Which is the closest to n? (a) 5 (b) -2 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 25 = -15*w. Let s be 20\/(-30) - (-11)\/18. Put -0.1, s, w in descending order.\nAnswer: w, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46591345 is divided by 1678.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 149 = 34*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**3 - 794*q**2 + 2*q + 4. Let f(y) = 16*y**3 - 1587*y**2 + 5*y + 9. Calculate -4*f(z) + 9*o(z).\nAnswer: -z**3 - 798*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31227 and 260225.\nAnswer: 780675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207136 is divided by 22898.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 24*r = 792. Calculate the lowest common multiple of 840 and r.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -134*b - 4. Is 31 a factor of y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 646405542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 20*g**2 + 12*g - 224. Determine b(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-4)*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence por when three letters picked without replacement from oeurpuuuuueucp.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = 5*o + 56, 2*z + 28 = -5*o. Suppose 4*u + 99 = 3*r, -5*r - 101 = 4*u - 10*r. Let a be 22\/(-12) - (-4)\/u. Put 2, z, a in ascending order.\nAnswer: z, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 17. Let h(m) = m - 8. Suppose -7*n - 4 = -9*n. Let z(q) = n*d(q) + 5*h(q). Let c(j) = -j - 1. Determine 4*c(s) - z(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/16 and -79\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 8. Let d = 11 - 5. Let l be w(d). Is -3 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 686 - 685.90488. Let s = -91.094 - -91. Let d = n + s. What is d rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + k**2 + 16*k - 28. Give i(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 14*u**2 - 4*u - 12. Determine k(14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9936 + -178949\/18. What is the common denominator of l and -85\/1572?\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 30. Let q be (-4 + (-44)\/(-3))*(-18)\/(-8). Let a be b(q). Let g be 4\/a - 2328\/(-18). What is the greatest common divisor of 26 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350128421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 3818*t**2 - 65200*t + 87. Determine s(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8890.065mm in kilometers?\nAnswer: 0.008890065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432162 is divided by 92?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 35, -2 in increasing order.\nAnswer: -3, -2, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.188*-0.03766\nAnswer: 0.12006008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6\/(-12))\/((-19)\/(-247))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -184, -230, -314, -448, -644, -914?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 + (-117856)\/(-1682))\/(1\/(-2)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*n - 360*n**2 + 176*n - 49*n + 354*n**2 as x*n + m + f*n**2 and give x.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(38) - (sqrt(152) - (sqrt(152) + 1*sqrt(152)) - sqrt(152))\/sqrt(4)) + sqrt(38))\/sqrt(2))**2 + 5 + 4*((-2*sqrt(19))**2 + 4)*-2*1.\nAnswer: -322 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -89, 42, 11, 3 in descending order.\nAnswer: 42, 11, 3, 2, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 3*s - 223 = 0, 5*s + 325 = 3*i. Let v = -8300 - -8586. Calculate the highest common factor of v and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/(32\/12 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n - n**2 + 145*n + 7*n + 41*n.\nAnswer: -n**2 + 176*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85678, -171355, -257032?\n\"Answer: -85677*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 223282?\nAnswer: 223282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, n: 3, e: 2}. What is prob of picking 1 e and 3 o?\nAnswer: 143\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.3. Let z = 1.3 - -0.7. What is the second biggest value in q, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 7\/2*c**2 + 12 + 3*c. Let b = 14 - 18. Calculate q(b).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 47820.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -266 + 614.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 65*x**3\/3 + 45*x**2\/2 - 1. Let h(d) = 3*d**2 + 2*d. Let k(b) = -2*a(b) + 45*h(b). Let w(i) = -2*i**2. Give k(w(v)).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 17*j + 3. Let l be (-6)\/8 - (-408)\/32. Let y be x(l). Calculate the highest common divisor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (1 - -10 - 2). Let o = p - -7. Suppose -3*j = -55 - o. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22350 and -4.8.\nAnswer: -107280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8b1 (base 14) to base 5\nAnswer: -23343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -106\/5089129 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 13*h**2 - 6*h - 17. Calculate y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 6*b**2 - b**2. Let r(g) = 18 - 18 + 2*g. Give r(i(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -0*u - 4*u. Let n = 159\/2 - u. Let k be (0 - 1)\/(0 - -1). Put 1, n, k in descending order.\nAnswer: 1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000101011111 - 11100000101?\nAnswer: -1010100001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.31 and -288.\nAnswer: -288.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -20.7.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-44) - 0) + (-81)\/(-99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 10*j + 3. Let b be m(10). Solve 0 = b*q - 7 - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 7 + 6. Suppose 5*u = d*u. Solve 2*o = -3*t - 21 + 6, u = -4*o + 4*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.105 to the nearest integer.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -36. Let s be ((-752)\/(-32) + -19)*2\/3. Suppose 2*g + 5 = -w + z, -s*g + 17 = w. Solve 3 = 5*q + w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 9767278.\nAnswer: 19534556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 984 from 0.4.\nAnswer: -983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 2}. What is prob of sequence fg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 55 = -3*a, 51 = -3*l + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s. Let t be 2\/7 - 5\/(-7). Let a be -1 - (-2 + t)*2. Let m be h(a). Solve m*q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -8898.3507085146.\nAnswer: -8898.2507085146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 10*t + 10. Let g be a(-9). Let r = g - -5. Suppose 4*v - v - 18 = 0. What is the smallest common multiple of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000327496338 to 7 decimal places.\nAnswer: 0.0003275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 1.52, 2, -0.2, -47, 2\/7 in ascending order.\nAnswer: -76, -47, -0.2, 2\/7, 1.52, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38543333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 196. Let b = h + -45. Is -0.11 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5, 75, -4 in decreasing order.\nAnswer: 75, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -448646 (base 10) in base 8?\nAnswer: -1554206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 301972*l**2. Let r(n) = 2*n. Determine r(x(o)).\nAnswer: 603944*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1101010010 (base 2) to base 10\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -9 + 14. Let n(m) = k*m - 8*m - 11 + 2*m + 0*m. Determine n(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 49*q = 26*q + 4*r + 46, 0 = -4*q - 2*r - 62 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 24 = 9. Let g(o) = 132*o + 1119. Let r be g(-8). Solve -r = b*c - 48 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 1692 = 41*a - 70*a. Is 11 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/7 - -27\/140. What is the common denominator of w and -59\/76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 10131?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -60244*j - 240972. Give o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 300*r**6 - 1687*r**2 + 11374. Find the second derivative of j(m) wrt m.\nAnswer: 36000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 18 = 3*k, -3*n - 58*k + 57*k = -11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (2 - 8)) + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 114*f - 102*f = -132, 0 = 3*m - 2*f + 104 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/14)\/((-12)\/42). What is the tens digit of (-16)\/((2\/p)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -1, 0, 3, 372 in descending order.\nAnswer: 372, 3, 0, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/6))**(1\/10))**29)**13 assuming w is positive.\nAnswer: w**(-377\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 2\/93 (b) -4 (c) 717\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.691+1405323792\nAnswer: 1405323787.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/(-21) - -1)\/(3\/21). Let d be (-10)\/b*1 - (3 + -3). Suppose 11*v - 18 = d*v. Let o(s) = s - 7. Give o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (7 - (-18 + 13 + -4)) - -33\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070364626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 70. What is the nearest to d in 37, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265267.5 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k, 7*n = 2*n - k + 967. Let x = n + -183. Which is the biggest value? (a) x (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/6 - 20*x. Let l(n) = 4*n**2. Determine d(l(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = 15*m - 7*m. Let k = 95 - m. Is k less than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9849?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17480\/(-342) + 5 + 39)\/(((-4)\/(-3))\/2).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**3 - 2*s**3 - 5*s**3 + (-2*s + s**2 + 2*s)*((-s + 0 + 0)*(-1 - 2 + 5) - 2*s - 5 - 12 - 6) to d*s**3 + w*s**2 + v*s + h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -497 greater than or equal to -3469\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -5 - 5) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 22 = -4*c. Suppose -3*j = z - c, 5*z - 4*j + 2 = -0*z. What is the nearest to z in 1\/2, 0.3, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/45)\/((v\/v**3)\/v))**19\/((v\/v**3)**9)**43 assuming v is positive.\nAnswer: v**(37357\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2473100820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-3)\/(9\/(-6))). Let j be (u\/(-2))\/((-3)\/8). Which is the second smallest value? (a) 1\/2 (b) -1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32300 or 419908\/13?\nAnswer: 419908\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6434 - -1.97?\nAnswer: -5.6734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let o(s) = -12*s - 1. Let d(l) = -6*f(l) + 2*o(l). Let p be d(4). Let m be 5*(p\/(-10) + -1). Solve 0 = -5*u + 4 - m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-49))\/(2\/(-14)). Suppose -a*r - 15 - 6 = 0. What is the remainder when 21 is divided by -2*((-308)\/(-8))\/r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 42. Is 13 + (-450560)\/(-56) - r\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + d**2 - 3*d + 1. Let n be k(0). Which is the closest to -3? (a) 2\/5 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, 3, -17\/76580?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130541 is divided by 989.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -24499 + 5*c**2 + 24510 - 26*c - 2*c**2. Determine q(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*l - 187*l - 321*l + 32*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1661 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -747*a + 224. Is y(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2 - 164*o - 24. Calculate w(21).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/4)*((x\/x**15)\/x)\/x*x assuming x is positive.\nAnswer: x**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122002002001 (base 3) in base 15?\nAnswer: 1220ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8715937, 8715926, 8715907, 8715880?\n\"Answer: -4*g**2 + g + 8715940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000917293 rounded to seven decimal places?\nAnswer: -0.0000917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 10*m**2 + 2*m**4 + 0*m + 2*m + 1 - 18*m**2 in the form y + o*m**3 + n*m + w*m**4 + u*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(272))*-4*5 + (-3*sqrt(204)*2)\/((sqrt(48) + sqrt(192) + sqrt(48))\/sqrt(4)).\nAnswer: -163*sqrt(17)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffzzz. What is prob of picking 3 z and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - i + 6, 5*u + 5*i - 5 = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 2*k**2 + k**2 + (-6*k**2 + 24*k**2 + k**2)*(3 + 0 - 1).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*5*1 - sqrt(95)) + 5*(sqrt(95) - (sqrt(95)*-5 + sqrt(95))))\/(4*(-1*sqrt(25)\/sqrt(5) - 1*1*sqrt(5))).\nAnswer: -29*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(108) + -1 - sqrt(108))*1 + (sqrt(108) - sqrt(108)*1) + 1 + sqrt(108)*2 + 4)**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from lwvsyqssvwwsssslss.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 82, 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 9:56 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**3 + 6*q - 6. Let w(k) = 0*k + 8*k**3 + 2*k + 3*k - 5. Calculate 5*t(p) - 6*w(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-2)\/(-18))\/(1\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)\/((j**(-1\/4)*j)\/j))**(-2\/127)*((j**(2\/9)\/j)\/(j\/(j\/(j\/j**(4\/5)*j))))**(-34) assuming j is positive.\nAnswer: j**(768469\/11430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17721.\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 144 = 7*h. Suppose 28 = 21*s - 35*s. Let p(n) = -4*n**3 + 3*n**2 - n - 4. What is the remainder when p(s) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17070624 and 36037984?\nAnswer: 324341856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/14? (a) -0.5 (b) 5 (c) 2 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -436967000 to the nearest 1000000.\nAnswer: -437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) - sqrt(19)*2) + (-2*sqrt(190))\/sqrt(10))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1859 by 8.\nAnswer: -1859\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -15*o. Let j(t) = -t**3 + 4*t**2 - 3*t + 6. Let q be j(3). Let i(u) = 7*u. Let p(h) = q*s(h) + 13*i(h). Let a(r) = 16*r**2. What is a(p(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1182580*u**3 - 43897*u**2 + 13*u wrt u?\nAnswer: 7095480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 10*i + 27. Suppose 3*w - v + 39 = 0, -3*w - 5*v = -w + 26. Is 28 a factor of g(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 29639352*j**2 + 4*j - 29639354*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 6 + 14. Let v(y) = -y**3 + 11*y**2 + 1. Let b be v(11). Find the first derivative of 0*j**4 - b - 4*j**r + 2*j**4 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - 0) + -45 + 35 + 15 + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, w: 10, k: 2}. Give prob of picking 2 g and 1 k.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/16 and -59\/56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53713 + 2?\nAnswer: -53711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 786935161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a meter in millimeters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1.9. Which is the nearest to i? (a) 0.5 (b) 3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + 4*t**2)*(-4*t**2 + 3*t + 2*t**2 + 4*t**2) + 2 + t**4 - 2.\nAnswer: 9*t**4 + 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, p: 5, l: 3, u: 3, j: 1, n: 1}. What is prob of sequence hun?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(o + 4*o - 4*o) + (5 - 2 - 1)*(0*o + 4*o + 0*o))*(1703 - 102 + 86).\nAnswer: 15183*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3, 3*s = 4*a + 7*s - 88. What is the remainder when 57 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6645629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 14*v - 6*v. Let s(n) = -2*n - 4 + 4*n - 10*n - n**2 + 12. Calculate s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 674.073nm?\nAnswer: 0.000000674073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, 2, -5488333 in increasing order.\nAnswer: -5488333, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8026*k + 3 + 8028*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:11 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -490176.84 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Let d = n + -6. Let j = -25\/39 - -4\/13. Which is the smallest value? (a) d (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1306*k**2 - 4*k - 6. Let n(z) = -435*z**2 + z + 2. Determine 2*d(x) + 7*n(x).\nAnswer: -433*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7817635 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 20*p - 10*p - 10*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 4, 23\/1162?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86669 less than 11?\nAnswer: 9.13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**4\/12 - o. Let j be z(-1). Differentiate -2*b**3 - 3 + j - b**3 + 1 with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let r(t) = t**3 + 6*t**2 + t + 7. Let d be r(-6). Calculate the remainder when (4\/(-3) + d)*-9 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3972.9 + -3973. What is the closest to 0 in 2\/25, 5, m, -2\/15?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -18 + 26. Let j be m - (1 - (-6 - -11)). Solve -5 = 5*g + j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) - sqrt(28)\/(3*sqrt(4))) + 3 + 0 - sqrt(39)\/((sqrt(48)\/sqrt(2) + sqrt(24) + sqrt(24))\/sqrt(8))*6*-4.\nAnswer: 3 + 19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9518734?\nAnswer: 2, 19, 23, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -21*u**2 + 5*u - 2. Let a(y) = -20*y**2 + 4*y - 3. Let l(k) = -2*a(k) + 3*v(k). What is the second derivative of l(d) wrt d?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f - 50 - 93 + 13 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -0.335.\nAnswer: -0.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 - 4216 = -10*x. Suppose -x = -10*r - 360. Factor 2\/3 + 1\/6*n**4 + 1\/3*n**3 - 1\/2*n**r - 2\/3*n.\nAnswer: (n - 1)**2*(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 - 220*n**4 + 2625*n**3 - 4410*n**2 = 0. Calculate n.\nAnswer: 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12873668*p + 9397824 wrt p.\nAnswer: 12873668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 23. Suppose -3*a - p = a. Does 8 divide 18 - 3 - a\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22244358 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -141, -166?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 7345 and -140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2)\/((30*6\/4680)\/(3\/6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*w + 4*k, 3*w - w = -3*k - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*x**3 + 3 + 10 - 102*x**3 + x as z + p*x**2 + k*x + q*x**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3170, 3151, 3120, 3077, 3022, 2955?\n\"Answer: -6*u**2 - u + 3177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3 + 3. Let w(f) be the third derivative of 1\/24*f**4 + 10*f**2 + 0 + 0*f + 0*f**3. Determine l(w(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-294843)\/(-2) + ((-1470)\/(-28))\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(6\/23)\/y*y**(21\/5) assuming y is positive.\nAnswer: y**(398\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 27\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) - (-18)\/5. Let q be 10\/(-6)*(-8 + 5). Suppose 0 = 3*p + r + 3, -q*p + 4*p = 2*r + 6. Solve 0*a + y*a + m - 3 = p, -5*a + 5*m = -35 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmm when three letters picked without replacement from {m: 5, z: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 + 0.5. Let q = j + 1.1. What is the third biggest value in -2, -3\/7, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -497, -245, 211, 901, 1855, 3103, 4675?\n\"Answer: 5*c**3 + 72*c**2 + c - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9689077*i**4 + 265239*i + 3.\nAnswer: 116268924*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.5344 litres to millilitres.\nAnswer: 37534.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -12.\nAnswer: 61\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -95. Suppose -a*b - 5*z = 26, -b + 0*z - 5*z = -8. Let o(g) = 23*g - 6. Let q(d) = -8*d + 2. What is b*q(h) - 6*o(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 216*u**2 + 26784*u + 17. Determine s(-124).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a + 14. Let x be t(8). Let d = x + 56. Let z be (d - -10)*((-1)\/2 + 1). Solve z = -0*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-560)*2*(-1351)\/579?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1255 - 423. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4018, -8033, -12048, -16063?\nAnswer: -20078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 20. Let y(t) = -t + 13. Suppose 6*c = 7*c - 5. Suppose 8 = -6*r + c*r. What is r*y(z) + 5*b(z)?\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -863979000 to the nearest 1000000.\nAnswer: -864000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*z + 55*z + 5*d - 31 - 7, 5*z + 78 = 4*d for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Let k(s) = -s**3 + 6*s**2 - 7*s + 3. Give k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/57, -4\/5, 3.\nAnswer: -4\/5, -2\/57, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2542 - -20433\/8. Let p = -250 - -166. Find the common denominator of p\/5*21\/42 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 not equal to -1364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 22811 - 12139 = 4*i, u + 2*i = -11650. What is u rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/15910 and -33\/3010?\nAnswer: 111370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 7. Let s be g(7). Suppose 2*o = -s*o + 10. Find the second derivative of -o*d**2 + d + 5*d**2 - d**4 wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 3*w, 4*t + 2*w - 11 + 5 = 0. Solve 0 = t*k + 252 - 246 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -9059620.\nAnswer: -1\/4529810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160667?\nAnswer: 3, 29, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3551413 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2709994084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2 - b. Let s(d) = -969*d**2 + 43*d + 4. Let u(c) = 6*r(c) - s(c). What is the second derivative of u(p) wrt p?\nAnswer: 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/15 + 262*z**3\/15 - 106*z**2\/3 + 266*z\/15.\nAnswer: 2*z*(z - 1)**2*(z + 133)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/3386?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 <= -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-24))\/((-1)\/(-12)). Suppose -3*d + 9 = -p. Solve 4 = 2*o + 3*l, 3*o + 3*l - 2*l - d = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = u. Suppose u*t = -o + 10, 0 = -2*t - t + 4*o + 29. Solve -2*s + t*s = -4*p - 7, 2*s - 5*p - 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144876 * -70\nAnswer: -10141320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -275 + 222 + 3*d**3 - 6*d**3 with respect to d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -27 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 4*s + 10. Let d be r(7). Let a = d + -15. Suppose b = 4 + a. Solve 5*x - z + 0*z = -b, 3*z - 27 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 52 = 4*k - 7*k, -5*b = 4*k + 56. Let o be (-16)\/(-30) + b\/(-12). Is o smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s + s - 3*d, -5*d = -2*s + 73. Suppose 0 = v - 9*v + s. Suppose -h + v*h = 114. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0*b)\/(b\/(b*b*b**(-2\/5))*b*b)*b**(1\/10)*b**(-2))**(-4\/15) assuming b is positive.\nAnswer: b**(26\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7732768 and 470272?\nAnswer: 5344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 + 980\/84)\/(4\/68382). Calculate the greatest common divisor of 87 and m.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -891.5366 and 1.\nAnswer: -890.5366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 + 210121010?\nAnswer: 210200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 44 + 21 + j)*(-2 - 2 + 0)*(13 - 2*j - 13).\nAnswer: 8*j**2 + 288*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 97702095 and 1.5.\nAnswer: 97702096.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 30*c - 20. Let i be x(-31). Solve -19 = -i*f + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -48. Solve -5*b - u*i = -6*i - 19, 2*b = -3*i - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32539*q - 65124*q + 3120 = -32561*q for q.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - 14 + 14)*(-2*u - 2*u - 7*u)*(3*u + u - 2*u) as n*u**4 + t + f*u**3 + a*u**2 + h*u and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15\/4)\/((4\/6)\/(1504\/(-423)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30652 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 342 - 340. Suppose 30 = z*q - 2*d, 2*q + d = q + 23. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1868*v + 17882 - 1921*v - 17642 to t + p*v and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 + 88.836. Let j = 0.026 - c. What is j rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 6)*(-1 + 3 + 2)*(2*c + 1 - 1)*(c + 0*c - 3*c).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 2*a - 4. Let v be f(-3). Let b(i) be the second derivative of 1\/20*i**5 - 5*i**2 + 7\/12*i**4 + 93*i + 1\/6*i**3 + 0. Determine b(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 7*l**2. What is the second derivative of j(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 0*i**2 - 3*i**2)*(4*i + 2*i - 4*i) + 46*i**3 - 25*i**3 - 25*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*r = 171*r + 48. Solve -2*v + 5*o - 25 = 0, r*o = 3*v - 8*v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-36 - (0 + 2 + -3 - (-10 - -4))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 8*o - 23. Calculate y(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-39 + 93 - 98)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/95 and 1504331 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44168115751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 44542\/5 and 8908 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + 2211?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -552, -827, -1118, -1431?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 2. Let l(c) = c + 2. Suppose 5*b - 2*p = -4*p - 23, b = -3*p - 2. Determine b*r(f) + 6*l(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -27, -24, -21, -18?\n\"Answer: 3*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2121 is divided by 766?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 8}. Give prob of sequence rrr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218*0.3.\nAnswer: 65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 783204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 278256 divided by -69564\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30712 + 30744. Calculate the highest common factor of f and 218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/25))**(-7)\/(r**(1\/9)\/r**(2\/21)) assuming r is positive.\nAnswer: r**(-11932\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 28*d + 31. Let y be (-1)\/2*43\/((-344)\/(-16)). Let k be h(y). Factor 21\/5*s**2 - 36\/5 - 12\/5*s - 3\/5*s**k.\nAnswer: -3*(s - 6)*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 1, h: 2, s: 1, m: 5}. What is prob of sequence xs?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39629 + 39707. Calculate the lowest common multiple of 14 and d.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from fckjjfcsscfjz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 213.3 - 213. Which is the fourth smallest value? (a) -5 (b) t (c) 0.14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494707095 by 1.\nAnswer: 494707095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669879 divided by -7?\nAnswer: -95697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 18*j**2 + 522*j + 29*j**2.\nAnswer: 2*j**2 + 522*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0373 * 0.5.\nAnswer: -0.01865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 168 = 14. Let n(q) = -q**2 - 9*q + 10. Give n(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 878748463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 13) to base 5.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/3)\/((2\/(12\/18))\/(-11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5077 divided by 5?\nAnswer: 5077\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374049323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 2. Let k be g(-3). Let v be (6 + -4)*(-2)\/k. List the prime factors of (72\/20)\/(v\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5))**(-5\/6))**(19\/5) assuming n is positive.\nAnswer: n**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 6*o**2 - 3*o - 4. Let b be u(-4). Let i be b\/9*(4 + -5 + -5). Find the first derivative of 4 + 5*n - 3*n - i*n wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -330 + 335. Solve -38*m - 11 + 7 + 28*m - y*m**2 + 4 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101111011000010010101 + -1?\nAnswer: 11101111011000010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 175*f + 452. What is x(90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*m = 2*r + 6, -2*r - 6 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 - 2697334*v\/5 - 2697336\/5.\nAnswer: 2*(v - 1348668)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2\/3))\/n)**46)**(2\/91)\/((n\/n**(-2\/7))**(1\/90))**(2\/15) assuming n is positive.\nAnswer: n**(1529\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-4 + 2)\/16). Suppose f*b - 63 = 129. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**3 + 8*i**2 - 13*i + 5. Let g(q) = -13*q**3 - 16*q**2 + 25*q - 11. Let f(v) = 6*g(v) + 11*r(v). What are the prime factors of f(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*l + 25*l - 176 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 995 divided by 5.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (-3 - -2) - (137 - (109 + 18))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/23 (b) 16\/7 (c) 68025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4212, -1, 1, -3 in descending order.\nAnswer: 4212, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:50 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1435*-40.6477\nAnswer: -58329.4495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0 + 1\/3*j**3 + 2*j**2 - 2*j. List the prime factors of o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 984\/198 - 4960\/(-96162)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 4*m + 6. Let h(n) = -n - 1. Let r(j) = c(j) - 5*h(j). What is the remainder when r(-9) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/3 + 19*k**3\/2 + k**2 + 61*k. Let f be t(-6). Let a(u) = -u**3 + 9*u**2 - 6. What is a(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1494\/87019 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 4124?\nAnswer: -4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*a + 30*a**5 + 50*a**2 - 16*a - 25*a**2 wrt a.\nAnswer: 1800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 601*w**2 + 1 + 18*w + 0 - 20*w - 1 as l*w**2 + y*w + g and give l.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 14. Let m = w - -5. Calculate the least common multiple of 10 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161993169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y - 8. Let i = 2 - -1. Let b = -234 + 232. Let t be -3*(b - 9\/(-3)) + i. Determine z(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13195091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + 136. Suppose -74 = 4*q - r. Solve -5*h - q = 2*x, -5 - 31 = 5*h + 4*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-52)*-1*2\/3)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/42)\/(2\/456). Let t = k - -116. Suppose 7*p + t = 23. Which is smaller: 15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1420, -5, -2, -1 in ascending order.\nAnswer: -5, -3, -2, -1, 1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/519808 and -151\/1572.\nAnswer: 1559424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -89924, -5, 37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -3605333\nAnswer: -3605277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*l + l**2 + 34*l + 1 + l**3 + 110*l - 3*l**2 + 2 in the form r*l**3 + f*l + m*l**2 + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1533.623 - 1536. Let u = -0.197 - y. Round u to one decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 140. What is the remainder when 146 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/3 - 13*c**2\/2 - 11*c - 68. Suppose 4*y + 52 = 72, 5*r - y = -65. What is t(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 20 = 0, 5*w - 4 = 4*d + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v**3 + 5 - 40*v + 51*v + 3 - 10. Let p(z) = -z**3 + 6*z**2 + 8. Let t be p(6). Let c(q) = -4*q**3 - 4*q + 1. Calculate t*c(s) + 3*j(s).\nAnswer: s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2 (c) -1199 (d) 20 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 - 41 = 0. Let q = -36 + j. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*t = 8, -q + 118 = -3*t + 108 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iurfurrrffrhfh. Give prob of picking 1 h and 1 r.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 5*h + 1079 = 0. What is the second derivative of -19*g - h*g**2 + 2 - 7 - 13*g + 41*g wrt g?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:55 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.031094 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321*-42728.\nAnswer: 13715688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1358249587.0000081 + -1358249454. Let k = u + -133. What is k rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0*y - 3 + 2*y - 14 + 17. Let q(p) be the third derivative of -3*p**4\/8 + p**2. Let d(r) = -36*r. Let o(h) = 6*d(h) - 22*q(h). What is o(u(f))?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3466345*z**3 - 714518*z**2?\nAnswer: 20798070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*y + 253, 2*y = 3*m - 72 - 300. Let g = -96 + m. Calculate the remainder when g is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2943 divided by -5\nAnswer: -2943\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*c. Suppose 3*g - 8*g = -i + 6, 0 = -5*i + 4*g + 30. Suppose c - i = -3*d. Calculate the highest common factor of d and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10881 * -0.6.\nAnswer: 6528.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267126937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -2*sqrt(91)*5 - sqrt(91) - 5*((sqrt(91)*1 - sqrt(91)) + sqrt(91)))\/(sqrt(77)\/(-1*sqrt(99))).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/3 - 502*s**4\/3 + 2114*s**3\/3 + 15288*s**2 + 54765*s + 59202 = 0. What is s?\nAnswer: -506, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 60, -0.4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -4*v - 4*j - 433, 2*v + 136 = -j. Let r = 214\/3 + v. What is the third smallest value in 2\/11, r, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37910 + -23836. Is 77 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 63*o - 4. Let w(r) = -64*r + 5. Give 4*w(f) + 5*x(f).\nAnswer: 59*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2717183219 to the nearest integer?\nAnswer: 52127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*81\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 677108 and 4?\nAnswer: 677108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936 = 158*z - 3*x, -3*z - 3*x - 1 - 3 - 15 = -6 + 17 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 12, -3*q + 18 = 2*i - 0*q - 7*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let k(b) = -33*b - 1. Let h(u) = u**2 - 4*u - 1. Let f be h(4). Let m(r) = f*k(r) - 6*z(r). Is m(1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190.11 + 192. Let v = k - 1.7. Round v to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/2)\/(1\/(-4)). Suppose 2 = 2*t - d, -4*d - b = -t + d. Solve 3*n - 5*a - 21 = t, -2*n + a = 2*a - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.98 and -0.07?\nAnswer: 0.0686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -337278000 rounded to the nearest 1000000?\nAnswer: -337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j + 5*j + 6*j**3 + 140*j**2 - 19*j - 8*j**3 - 4*j**3 as p*j + x + k*j**2 + s*j**3 and give k.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 918012*l**3 - 70204045314*l**2 - 3793026375396*l - 51214892277267.\nAnswer: -3*(l - 153029)**2*(l + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-14)\/12)\/((-19)\/(-114)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 2:37 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d0 - a85?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (6 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24370566 to the nearest integer?\nAnswer: 4937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2205 = 389218*h - 389155*h for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272842.\nAnswer: 2, 136421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/219375 and -81\/1456.\nAnswer: 24570000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 26)\/(-1 + -1). Suppose 4*k = -2*p + k + y, 3*k - 3 = 3*p. Is p at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.84 + -17.86. Let h = 22.7 + u. What is the nearest to 2 in h, 26, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 11:47 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 - 6.15. Let g = j - -6.3. Which is the nearest to g? (a) 5 (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + g**2 - 1 - 3 + g**2 + g**3 + g**2. Let y be o(-3). Suppose -m - 3*l = y*l - 20, 0 = m - 5*l + 10. Put -4, 3, m in descending order.\nAnswer: m, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 2. Let k = -13 - -7. Let h(x) = -x**3 + 5*x**2 + x - 3. What is the smallest common multiple of h(3) and l(k)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1147224869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160585 by 4.\nAnswer: 160585\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(88) + -1*sqrt(88))\/sqrt(8))**2 + (2*sqrt(11) + -1)*2.\nAnswer: 4*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6636 - 3764. Suppose -g - 1004 = -17*a. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 802*l**2*v**5 - l**2*v**2 + 7*l*v**2 - 2*l - v**5 - 244*v**2 wrt v.\nAnswer: 48120*l**2*v**2 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -118 - ((-55 - -131) + -55)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 6*f - 6. Let p be b(4). Which is smaller: p or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81, 78, 73, 66, 57?\n\"Answer: -d**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 72.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.83 and 0.29?\nAnswer: -0.8207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1137*o**5 + 803*o**2 wrt o?\nAnswer: -68220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*q**2*r*y + 18*q**2 + 2*q*r*y + 10*q*y wrt r.\nAnswer: -71*q**2*y + 2*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 2. Let o(j) = j**2 + 40*j + 148. Let i be o(-36). Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**3 + j**2 - j. Let x(q) = 81*q**3 - 6*q**2 + 5*q. Calculate -5*v(s) - x(s).\nAnswer: -46*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 12?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 4964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -7988277483797.\nAnswer: -7988277483805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-3)\/6*2). Put -3, l, -6 in decreasing order.\nAnswer: l, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:17 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 226050 and 20?\nAnswer: 452100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 12 = 12*q. Calculate the highest common divisor of q and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = 48*r - 962 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3 + 3)*(114*b + 275*b + 13*b - 18*b).\nAnswer: 768*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4840820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7504*a**6 + 2593*a**2 - 3?\nAnswer: -900480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 20*l - 57. Let f be m(23). What are the prime factors of (f\/(-5))\/(-5*13\/40950)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -460, -1726, -3836, -6790, -10588?\n\"Answer: -422*c**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000460233 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4602431*j**2 + 5937090*j - 1 wrt j.\nAnswer: 9204862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000525698 rounded to 5 decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - s**5 + 2*s**4 + (44*s - 135 + 135)*(12*s**4 + 17*s**4 - 9*s**4) - s**5 - s**5 - 2*s**5.\nAnswer: 875*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + 3305736?\nAnswer: 3305682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:24 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**3 + 21*s**3 + 1 - 7*s**3 - 5*s**3 - 3*s**3 - 37*s**2 in the form h*s**2 + a*s**3 + p*s + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 2*z - 2, z = -b - 3. Let h be (110\/20)\/(2\/4). Let d be (8 - h)\/(1 - 0). Sort z, d, -5.\nAnswer: -5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 4 - 2 + 4 - 4*w. Suppose 2*b + q - 9 = -0*b, 5*b - 45 = 5*q. Calculate x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7414, -15813, -24282, -32857, -41574, -50469, -59578?\nAnswer: -68937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 62, 50, 38, 26, 14, 2?\n\"Answer: -12*c + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91069*b**2*k - 5*b**2 - 3*b*k + 37201920*k wrt b?\nAnswer: 182138*b*k - 10*b - 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30202 take away -35979582?\nAnswer: 35949380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 6, l: 9}. What is prob of picking 2 l and 2 t?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/34 and -61\/180.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 3\/8, -6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/14)\/(6\/120*5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t - z, 4*t + 5*z - 4 - 7 = 0. Let m = 92 + 47. Let x = m + -139. Solve x = -5*n - 2*p - 10 - 10, 0 = -5*n + t*p + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1121?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6627 and 381.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 264*j**2 + j - 106. Is r(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 15) in base 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7770079 by 5.\nAnswer: -7770079\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -15*x + 2. Let n be r(-4). Suppose 3*u - 19 = n. Does 27 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 189*s + 86866. What is q(261)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -675*u**2 + 190*u - 2.\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + 117\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 16*y + 5. Let g be c(17). Let i = 15 + g. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 0.08.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30950103851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l + 664. Let h(o) = -3*o - 332. What is -7*h(w) - 4*x(w)?\nAnswer: w - 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58784879.\nAnswer: 19, 162839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k - 6*k. Let w(y) be the third derivative of y**5\/60 + 5*y**4\/24 + y**3\/6 + y**2. What is the lowest common multiple of 8 and w(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6512, 12\/11, -5, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**3 - 10 - 4*f**2 + 40 + 8*f**3 to y*f**3 + n*f**2 + t*f + p and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 15\/7, -31, 0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -12*u - 511. Let m(q) = 8*q + 346. Determine 8*m(a) + 5*z(a).\nAnswer: 4*a + 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**5 + 7*i**2 - 8*i**3 - 39*i**2 + 0*i**5 + 2*i**5 wrt i?\nAnswer: -120*i**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d3b (base 15) in base 2?\nAnswer: -101110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 419?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s + 1\/40*s**5 - 2*s**3 + 0 + 7\/16*s**4 - 8*s**2. Let c(g) be the first derivative of u(g). Factor c(l).\nAnswer: 3*(l - 1)*(l + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 15, y: 4}. What is prob of picking 3 j?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {d: 1, u: 4, t: 2, v: 5, x: 2, r: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 100*d + 823. Let q be a(9). Solve q*i = 3*i + g - 8, 0 = -3*g + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -206.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5814226 by -6.\nAnswer: 2907113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from {i: 15, l: 5}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32150726 and 20.\nAnswer: 321507260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4379 by -16.\nAnswer: -4379\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56646325 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 99, 149, 199?\n\"Answer: 50*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a micrometer in nanometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -1627375?\nAnswer: -32547.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13238209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhmdqhbxhxmdxhq. What is prob of picking 2 x and 1 q?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8437886449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 2*x**2 + 0*x**2)*(0*x**2 - 3*x**2 + 4*x**2) + 4*x**4 + 0*x**4 - 2*x**4 - 3*x**4 + 0*x**4 + 5*x**4 + 7*x**4 - 12*x + 12*x.\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1a8478 (base 11) to base 10\nAnswer: 318678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f + 5. Determine l(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -29 + 1)\/((-3)\/(-2)). Sort 1, -4, 4, g in descending order.\nAnswer: 4, 1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -13*d**4\/12 + d**2\/2 - 17*d. Give z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86128?\nAnswer: 2, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**5\/2 - 363*f**4 + 9*f**3 + 2166*f**2 - 5799*f\/2 + 1089 = 0.\nAnswer: -242, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 42362645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1420?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2. Let x(c) = -30*c. Determine n(x(m)).\nAnswer: -4500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 59 = -3*z, -5*z = -3*o - 0*o - 130. Let b = 14 + -24. Let x = b + z. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 685 - 508. What is the least common multiple of l and 6?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4804, 13316, 27502, 47362, 72896, 104104, 140986?\n\"Answer: 2837*c**2 + c + 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1705020 = -3*a + 7*a, a - 1363995 = 4*r. What is r rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -15*o - 1. Let d be t(-19). Let p = -112 + d. Suppose -p = 8*x - 2244. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166930 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000874055492 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -504100375 - 9218.\nAnswer: -504109593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byn when three letters picked without replacement from {b: 2, a: 3, y: 2, n: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.27 in -2\/17, -5, -42?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 64 - 5. Let y = j + 26. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtttttttttggt. Give prob of picking 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 710 = 4*q, 44*q - 39*q = -2*i + 838. Solve -q = -3*y - 31*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 172, 559, 1126, 1873, 2800?\n\"Answer: 90*r**2 + 117*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbzz when four letters picked without replacement from {z: 6, b: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 41.074282\nAnswer: -61.611423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15803 and 17.414.\nAnswer: 275193.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = 54*r - 326 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(0 - -1)*-3. Suppose g = -2*q + 5*g - 6, -j*g + 2 = -q. Which is the third biggest value? (a) q (b) -1 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + 39. What is the highest common divisor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/12)\/((-66)\/(-352)))\/((-4)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4462000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 9*h - 5*h - 4 = 0, 5*h = 4*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3\/5 + 8864*q**2\/5 - 7108*q - 8880 = 0?\nAnswer: -2220, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/2 - 1495*z - 6020.\nAnswer: 5*(z - 602)*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12415837.\nAnswer: 7, 23, 67, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 1204 = 5*r. Let y be 1\/(-13) - r\/(-6188). Which is the third smallest value? (a) -3 (b) 2\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5782054 is divided by 1789.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*-2 - sqrt(78))*2)\/(sqrt(6)*-1*-3).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 613*d + 30. Let v(a) = 1838*a + 103. What is -7*o(t) + 2*v(t)?\nAnswer: -615*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148604*f**4 + f + 588010 with respect to f.\nAnswer: -594416*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 178. What is the third biggest value in -45, -2, s?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 14. Let x be l(-12). Let b be -2 - -4 - (x + 52\/14). Let z be (12\/(-15))\/(2\/(-15)). What is the second biggest value in b, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65\/259809 - 113923765\/163160052. Let l = 18\/157 + g. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {w: 1, v: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -26*r + 9. Suppose 0 = 20*x - 25*x - 20. What is the units digit of v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*g**3 + 33*f**2*g + 6*f*g**3 + 1974*g**3 wrt f?\nAnswer: 4*f*g**3 + 66*f*g + 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317229908 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:04 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-4 - -3) + 0). Let l be (-28)\/(-30) - 4\/4. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.4, 1.03, 4, 1\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -11*a + 18. Let g = a + -7. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - 6*k + 261. Determine t(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/5 - 1204*y\/5 + 2832 = 0. Calculate y.\nAnswer: 12, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 - -5) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29791.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t + 56*t - 8 = 0. Let -2 - 11*y**3 + 8*y**3 + 9*y + t = 0. Calculate y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 - 17*j**3\/4 + j**2\/4 + 17*j\/4.\nAnswer: -j*(j - 1)*(j + 1)*(j + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**7\/70 + v**4\/3 + 4*v**3\/3 - 5*v. Let o(n) be the second derivative of t(n). Find the first derivative of o(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 66988*p**2 - 44661*p + 22330.\nAnswer: (p - 22330)*(p + 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 2*s**2 + 5*s + 3. Let o(b) = b + 4. Let v be o(-4). Let i(a) = 2*a + v - a + 3 - 5. Let g be i(6). Determine p(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + q + 1. Let n(t) be the third derivative of 0 + 1\/3*t**3 + 1\/15*t**5 + 0*t + 1\/12*t**4 - 18*t**2. Calculate -13*i(p) + 6*n(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6133 - -7046. Is q a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1\/26, -1\/4 in increasing order.\nAnswer: -1\/4, -1\/26, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -13.5 (c) -56 (d) 2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1746519230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 430004133 (base 5) to base 11\nAnswer: 1018477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3998*j + 40. Let n be c(-20). Round n to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-5 - (-6 - -55)). Find the common denominator of (-4)\/(-2)*6\/l*142 and ((-1)\/18)\/(1\/(-40)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943282921 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 3454820.\nAnswer: -17\/1727410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5167367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14*i**2 + 3*i**2 + 12*i**2 - 8*i**2 + 25*i**2. Let j(f) = -37*f - 1. Determine m(j(h)).\nAnswer: 24642*h**2 + 1332*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:05 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5879848 divided by -56537?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -10623*c**5\/20 + 487*c**4\/12 - 2*c**3\/3 + 1325*c. What is the third derivative of n(v) wrt v?\nAnswer: -63738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 15*c**2 - 3*c - 4. Let v(g) = 14*g**2 - 3*g - 3. Let s(a) = -4*u(a) + 5*v(a). What is the tens digit of s(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1211, -1492, -1769, -2036, -2287, -2516, -2717?\n\"Answer: g**3 - 4*g**2 - 276*g - 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/17 - (-120)\/1020. Which is smaller: -2\/5295 or q?\nAnswer: -2\/5295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 3. Let h be -14*(28\/8)\/j. Suppose -g + 3 = -2*a - 1, 2*g - 5*a = h. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1136427129 to the nearest integer?\nAnswer: 33711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 8. Suppose m + j*m - 21 = 0. Calculate the lowest common multiple of m and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11620, -22998, -34122, -44986, -55584, -65910, -75958, -85722?\nAnswer: -95196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116\/3699 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60379 = -62*q - 63727 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 460, 0, 7, -1, -6 in increasing order.\nAnswer: -6, -1, 0, 7, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-1)\/3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48598 * 0.1.\nAnswer: -4859.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let z = l - -11. Let k = -7.5 + z. Put -5, k, -0.3 in ascending order.\nAnswer: -5, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 - 173 - 18 - 271)*(-2*t - 2*t**2 + 2*t + (0 + 0 - 2*t**2)*(-2 + 0 + 0)).\nAnswer: -454*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -824*d + 819*d + 10. Solve 0 = b + 2*b + d*r + 20, -2*b + 4*r = -8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*b**3 - 5\/4*b**2 - 1\/2*b.\nAnswer: -b*(b + 2)*(2*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006068551 rounded to seven dps?\nAnswer: 0.0000607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -64334011 (base 7) to base 2\nAnswer: -10100110111101010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + (2*sqrt(204) - sqrt(204))))\/sqrt(12) + ((2*sqrt(2448))**2 - sqrt(17)) + -2.\nAnswer: -2*sqrt(17) + 9790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2904 and 2046?\nAnswer: 90024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 4. Let x = -27 - -6. Let p = x - -37. Suppose u + 3*u = p. Let l(o) = -1. Calculate u*l(h) + v(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 185*(724\/(-90) + 8).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16158945.\nAnswer: 3, 5, 11, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = 2 - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -14*r - 237. What is the remainder when 132 is divided by a(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.412767 to 2 decimal places.\nAnswer: -2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c7a - c?\nAnswer: c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(-2) + (-125)\/(-250)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20022121 (base 3) to base 16\nAnswer: 11fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320 divided by -44?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - -4 - (-4 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1734090037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.52893 and -1584.\nAnswer: -1585.52893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - a + 2*a = 13, a = 5. Let b = -1 + o. Let g = 1 + b. What is the highest common factor of g and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 + 72\/(-6))\/((-21)\/(-3)). Is n smaller than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-6))\/(8\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rywmimiwmwiwwm. What is prob of sequence rmwi?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*r = -302*r - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(-1 + 4*(1 + sqrt(833) - sqrt(833))*4)*6)**2.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 274*g**3 - 651*g**3 + 159*g**3 + (0*g - 4*g + 2*g)*(4*g**2 + 2*g**2 - 5*g**2) to x*g**3 + r*g + q + m*g**2 and give x.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (85\/28 - (-19)\/76).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9116070*v**2 - 3185469 wrt v?\nAnswer: -18232140*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(78)*2 + -1*sqrt(78)*5))\/(sqrt(648)\/sqrt(3) + sqrt(60)\/sqrt(160))*-6.\nAnswer: 336*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2327*z**2 - 15*z + 14. List the prime factors of r(2).\nAnswer: 2, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*g = 37, -2730 + 2813 = -6*m - 5*g for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 72\/20*-30*4\/(-72)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from xaxppqxqxpxpxaxqx?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fspfuovsv. What is prob of sequence ffvp?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**24*a**1\/a**3)**(-2\/27) assuming a is positive.\nAnswer: a**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/705 - -1709\/138180. Let n = 1957\/2940 + a. Let n*y**2 + 0 + 4\/3*y**3 + 0*y + 2\/3*y**4 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/((-2336)\/779 + (-252)\/(-84)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4698117 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/60 - 2*t**2. Let m = -7 - -9. Let j(n) = n**2 + 0*n**m + 2*n**2 + 0*n**2. Give j(h(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f**3 + f + 1. Determine a(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496484850 divided by 175?\nAnswer: -8551342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 17*o - 3. Suppose 2*i - 4 = 0, 5*s = -4*i - 26 + 4. Let a be g(s). Let f = -8 + 12. Solve -a*x + f*d = -12, 6*x = 2*x + 5*d + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -2. Let s be (0\/1)\/(4\/p). Let a be (-4)\/6 + (-5)\/(-15). Is a greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 810 + 810.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, b: 7}. Give prob of sequence rbr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 64 = -103*i - 347 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = 5*y + 554. Let z = 312 + y. List the prime factors of z.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808 + 864 - 784 = 28*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**5 - 34*p**4*x + 2*p**2*x + p*x - 54*p wrt p.\nAnswer: 160*p**3 - 408*p**2*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 = -0*o - 5*o + 2*c, 2*c = -4*o + 736. Suppose 0 = 2*i + 2*z - o, -2*i + 0*z - z = -179. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123252 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*a + 13 - 13)*((0 + 2 - 1)*(2*a - 2*a - a) - 2*a + a + 0*a + 0*a + 5*a + 0*a) to the form d*a + c*a**2 + o and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 583*l - 4*l**2 + 4*l**2 - 41*l - 5*l**2.\nAnswer: l**2 - 624*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*p = -43, 5*n - 2*p + 3 = 50. Let j be (n - 0)*(0 + 1). Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/40 - 23*c**5\/4 + 186*c**4 - 2286*c**3 - 3*c**2 - 457. Factor t(x).\nAnswer: -3*(x - 6)**2*(x + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 7, -0.12.\nAnswer: -1\/4, -0.12, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 175*w = -180*w + 7295, -4*n + 2675 = 5*w. Solve -3*h + s = -1, -n*h + 3 = -656*h - s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 10*z = 6. Let i(v) = -15 + 12*v**z - v**2 + 15. Let k(m) = 6*m - 18*m + 11*m. What is k(i(c))?\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.951 - 229.749. Let k = m + 231.65494. Let o = -0.0508 - k. What is o rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110174*b = 110092*b - 2050 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162.1 - -162.099997048. Round i to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 3\/5, -2\/11, -1.2, 21?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61517.21 centimeters in nanometers?\nAnswer: 615172100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191 or -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:07 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1, 0.1, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2235 in 1, -234, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185 + 178. Suppose 9 + 26 = -5*l. Let t = s - l. Solve 2*a - 6 + t = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**5\/15 + 7*i**4\/12 - 2*i**3 + 10*i**2\/3 - 8*i\/3 - 304. Determine p, given that q(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1495831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19960 and 0.1.\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-34)\/(-4)*(-336)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u - 8*u**2 + 2 - 4 + 6*u**2)*((-10 + 23 - 6)*(4 + 4 - 7) - 2 + 4 + 0)*(2 + 2 - 7).\nAnswer: 54*u**2 + 270*u + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -40*w - 23. Let q(z) = -82*z - 46. Let f = -81 + 88. Let s(g) = f*h(g) - 4*q(g). Is s(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -15*q**3 + 2*q - 3*q + 13*q**3 + 1 - 2. Let n(a) = -2*a**3. What is -3*n(f) + 2*r(f)?\nAnswer: 2*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45121657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -61*n - 103. Let r be u(-16). Let j(c) = -20273*c + 1746. Let z(h) = -93*h + 8. Let k(b) = r*z(b) - 4*j(b). Let f(a) = -4*a**2. What is f(k(v))?\nAnswer: -37636*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 117\/13 + ((-1)\/(-1))\/1. Solve p = -188*m + 183*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 11002?\nAnswer: -11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(2299)) + -2.\nAnswer: -11*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1 + 1)\/(-4). Suppose v = 3*x - 9 - 15. Calculate the lowest common multiple of 10 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -36 + 28. Calculate the remainder when 13 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 375749200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 372932505124*t**2 - 2442728*t + 4 = 0. Calculate t.\nAnswer: 1\/305341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-15) + (-116)\/(-30). Sort -3, j, -1, -5.\nAnswer: -5, -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115516.98 - 1149.\nAnswer: -116665.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2 + 0 + 3)*(23*r**2 - 24*r**2 + 14*r**2) + 2*r**3 - 4*r**3 + r**3 + 3 - 3 + r**3.\nAnswer: 13*r**3 + 13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6 + 2. Suppose 3 + z = f. Find the second derivative of 2*h - 4*h**5 - 5*h + h**f wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*j + 42. Suppose -3*k - 2*r + 68 = 2*k, 0 = -k - 5*r + 9. What is the greatest common divisor of j and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -82 - -25 - 20) + (-1 - 0 - -1)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 50. Let q = 12 - 8. Solve -q*t = t + d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/7 - 5808*h**4\/7 + 69302*h**3\/7 + 307872*h**2\/7 - 3816040*h\/7 - 578400 = 0?\nAnswer: -7, -1, 10, 2892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 2*l - 1. Let f(d) = -57*d**2 + 12*d + 18. Let a(s) = -3*f(s) - 18*h(s). Find the first derivative of a(v) wrt v.\nAnswer: 270*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-891)\/(-44))\/((-9705)\/(-2424) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 6*c - 4. Let a be p(3). Suppose -3*v + 8 = -k, -3*v - a = 4*k - 6*v. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + z = 15 - 4, 19 = 2*t + 3*z. Suppose 14 - 4 = v. Solve 2*g - 3*u = t*u + v, u + 2 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1303212 and 669.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2791\/5 in 1\/6, 4, -1057?\nAnswer: -1057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 9 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 261*l - 1212. Give t(5).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 118 + (4\/(-8))\/(1\/2). Let f be (-3 + (-30)\/(-8))\/(o\/(-5061)). Let z = f + 555\/13. Find the common denominator of z and -67\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 + 11*u - 1. Let s = 233 + 510. Let q = s - 747. Determine i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -23*u - 49*u + 73*u. Let n(t) = t - 1. Give n(f) + 3*s(f).\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*t - 5*t. Let n(v) = v**3 + 8*v**2 - 3*v - 10. List the prime factors of n(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 3*z**2 - 5*z - 2. Let m be a(-3). Let n = m - 12. Solve -f - 2 = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43165 + -30992475\/718. Let i = 911\/75390 - f. Is 1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + sqrt(76)\/sqrt(2))*-1)\/(2*(sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2)) - (0 + sqrt(19) + -1 - (sqrt(19) - (-3 + sqrt(190)\/sqrt(10))))**2.\nAnswer: -35 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*6*6\/108)\/((-25)\/(-90))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*m - 4*m**5 + 15*m**5 + 0*m**5 wrt m?\nAnswer: 220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, -10298, -0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) -0.4 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10056, -10155, -10284, -10443, -10632, -10851, -11100?\nAnswer: -11379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7085.98 plus -124594?\nAnswer: -131679.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63\/125 + 1\/250. Let t = 0.061 - 0.09. What is the nearest to t in q, -2\/11, 4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1504 + -10497\/7. What is the common denominator of 21\/58 and v?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 3*s**2 + 4*s + 14. Give j(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4674, 18740, 42184, 75006, 117206?\n\"Answer: 4689*y**2 - y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vwvvvxvxvxxqvvvvwvq?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99225 is divided by 1928?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 0.055, -2\/59, -371?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4*r**2 + 1917338*k**3*r**2*s + 63*k**2*r**2*s - 21*k**2*r*s + 2*k*r*s + r*s - 34*r wrt k.\nAnswer: 48*k*r**2 + 11504028*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/66 and -23\/1221?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046937627 to 7 decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.7, 5, -1\/8, -17?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -76?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 17 + 21 + (-5 + 0 - 59).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-1)\/6). Suppose 0 = -p*j - 0 + 6. Solve -1 = 2*q + j*q + 3*i, -5*i + 11 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 1, n: 1}. Give prob of sequence ntx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -98*g**3 + 2*g**2 - 36*g + 61. Is k(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -479 - -483. Suppose 0 = o*p - 8, 0 = n - 3*p - 53 - 9. Calculate the greatest common factor of n and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**7\/840 - 7*f**6\/180 - f**5\/20 + f**4\/24 + f**3\/3 + 2*f. Let h(s) be the second derivative of d(s). Is h(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10417 (base 16) to base 14\nAnswer: 1a39d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4404 (base 5) in base 2?\nAnswer: -1001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 5, -88, 0 in descending order.\nAnswer: 6, 5, 4, 0, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3150666516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 12. Suppose -5*s + 24 = -4*s. Suppose -16 + s = -z. What is the units digit of r(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228 divided by 2?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + 8 - 4 + 2 as n + r*g and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 4, 2, -2, 306293, 3 in increasing order.\nAnswer: -9, -5, -2, 2, 3, 4, 306293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 116, 123, 130, 137?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*t + 10. Is (-82 + 3)\/(5\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (0 + -8 + 5 + -108 - -8)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14422*y**4 - 129135*y.\nAnswer: -173064*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1509, -3054, -4599, -6144, -7689, -9234?\nAnswer: -10779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 40000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 125 = -5*v, -66*v - 3 = -67*v. Is q bigger than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f - 2. Let m be o(2). Suppose -2*a + 10 = m, 2*a + 5 = 5*q + 6*a. Is q <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82, 146, 238, 358, 506?\n\"Answer: 14*y**2 + 22*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v**3 - 10*v**2 - 6*v + 3. Let h(r) = -r**3 + r**2 - 2*r + 1. Determine 3*h(j) - l(j).\nAnswer: 5*j**3 + 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -21756539.\nAnswer: -3\/21756539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 4, y: 7, z: 1, v: 4}. Give prob of picking 2 g.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1448*j - 1470*j + 2953*j - 9660 = 0. Are 274 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -63. Suppose 4*q = -q + j. Calculate the smallest common multiple of 2 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -16*b. Let j be (4 - -20)*(-1)\/2. Let u be 42\/9 - 4\/j. Let k(m) = -u*m**2 + 3*m**2 + m**2 + 2*m**2. Determine c(k(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 756191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(1 + 5*(-1 + sqrt(200)))**2*1.\nAnswer: -120384 + 9600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131421207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k**3 - 127766*k + 255540*k - 127774*k.\nAnswer: -51*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11292 - -11292. Factor 0 + i*n**2 - 2\/13*n**3 + 0*n - 2\/13*n**4.\nAnswer: -2*n**3*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 613 - 115. Let o = -12500 + 12309. Let y = j + o. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**5 + 195934006*x**4 + 14*x**2 - 2222401*x wrt x.\nAnswer: 60*x**2 + 4702416144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 261 and -4852?\nAnswer: 5113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**26)**(-34)*(p**(25\/4))**(-17) assuming p is positive.\nAnswer: p**(-4233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53734 is divided by 801?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 6*p = -18*p + 1092. Calculate the least common multiple of 28 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 6. What is the tens digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -846, -904, -996, -1128, -1306, -1536?\n\"Answer: -o**3 - 11*o**2 - 18*o - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2280271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 16235.6337 to the nearest one hundred.\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*n*r**3 + n*r**2 + n*r - 827*n + r**3 + 3*r**2 + 2*r + 2 wrt r?\nAnswer: 72*n*r + 2*n + 6*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36456\/434*(-2)\/18*(-3 - 12\/(-16)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*h - 8. Let o be -1 + h*2\/4. Suppose -2*c + o*f = -86, -5*c + 3*c = 3*f - 62. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 42*h + 716. Let w be i(-17). Let m be 0 + 10\/6*3. Solve -2*r = -w, -d = -5*d - r + m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9222544 is divided by 2305632?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**3 + 4*g**2 - 6*g + 7. Let h be x(3). Let v = 6 - h. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 4*n - 65, 5*z - 3*n - 70 = 0. Suppose 3*t - 65 = -z. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l*(l*l*l**(1\/12))\/l*l*l*l))**(2\/47) assuming l is positive.\nAnswer: l**(-49\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)\/j**(-2\/9))\/(j**(-5)\/(j\/j**8)))\/(j**(-3\/4)*(j*j*(j**7\/j)\/j*j*j)\/j*j**8\/(j*j\/(j*j**(5\/4)))) assuming j is positive.\nAnswer: j**(-305\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/24 and -85\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 341*f - 3*f**2 - 206 + 84 + 80.\nAnswer: -3*f**2 + 341*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417*k - 1413*k - 40 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 54*g + 2864. Let i be b(-53). Determine k so that 6\/11*k**3 + 16\/11 - 20\/11*k**i + 8\/11*k = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2331369 and 4503?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22791628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1691 - 1691.00010048. Round x to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 29*g**4\/24 - 4*g**2 - 12*g - 248. Let p(j) be the second derivative of y(j). Let c(m) = 3*m**2. Calculate p(c(h)).\nAnswer: 87*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -0.53476?\nAnswer: -1.03476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhoz when four letters picked without replacement from {h: 6, o: 5, l: 2, c: 1, z: 2, j: 1}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4 + 48*q**3 + 436*q**2 - 48*q - 432 = 0.\nAnswer: -6, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 8. Let s be q(-12). Suppose -s*x + 82 + 42 = 0. Find the common denominator of 87\/26 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwbbwbb. Give prob of picking 4 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -108, -1 in descending order.\nAnswer: -1, -2, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 25*c - 34. Let a be p(23). Solve 3*t - a = 7*t, 2*t = -s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110110101011000011 (base 2) to base 13.\nAnswer: 20274c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**9*(j*j\/(j*j*j*((j*j*j*j*j**(-2)\/j*j*j)\/j)\/j*j))\/j)\/(j**10*j**7) assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 12*y**2 + 6*y - 5. What is the lowest common multiple of g(-11) and (6 - 2)*(-30)\/(-3)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -25*b**3 - 10*b**2 - 10*b + 10. Let c = -318 - -321. Let w(i) = 3*i + 8*i**3 - 70 + 7*i**2 + 67 - 4*i**2. Give c*u(z) + 10*w(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 8910\/132 - 45\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -52*b + 54*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -70*w - 2. Calculate j(1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 37. Suppose -18 = -h + w*k, 12 = 4*h - 5*h - 4*k. What is the remainder when 21 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2637629 divided by -1\nAnswer: -2637629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 7*b + 49. Suppose -b*q + 2*q = -2215. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.9, 0, 0.05, -2\/35, -2\/7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -711250 (base 13) to base 8.\nAnswer: -12021104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3, -8, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n + 35 = 5*m, 0 = -3*m - 2*n + 31. Let f(u) = u**2 - 9*u. What is f(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3144*o + 39256 = 3845*o for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 3 = 12*w. Suppose -4 = -p - 0*x + 4*x, 0 = 4*p - 3*x - w. Factor p - 2\/11*b**5 + 0*b + 0*b**4 + 2\/11*b**3 + 0*b**2.\nAnswer: -2*b**3*(b - 1)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 - 48 = 3*o. What is o rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:52 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -5*a + 3*a - 6 = 0, 4*a = 2*w - 12. Solve -b + 3*o - 4 = w, 4*b - 4*o = -r*o - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3922 and 188605.\nAnswer: 73970.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 39*b - 38. Let r be f(-4). Let q = r + 775\/4. Sort 0.49, q, -3.\nAnswer: -3, q, 0.49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -1. Let r = 49 - 48. Sort 5, x, r in increasing order.\nAnswer: x, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + -2 + 5 + sqrt(243) + (sqrt(243) - (-2 + sqrt(243))*6) + sqrt(243))*-5*1)**2 + 2 + 5.\nAnswer: -13500*sqrt(3) + 29932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/(-529)*-23)\/((-1755)\/(-27))?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 150, 124, 98?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8338*a + 16612*a + 55 - 8347*a - 104 to y*a + r and give y.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 15, 0.\nAnswer: 0, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13595 divided by 6\nAnswer: 13595\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2. Let l(n) be the third derivative of 0*n - 1\/60*n**5 + 0*n**4 + 0 - 2*n**2 + 0*n**3. Give l(k(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224151195 and 4530?\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236101631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a**(1\/4)*a))\/a))**(2\/9)*(a\/((a*a**1\/a)\/a*a))**(-4\/31) assuming a is positive.\nAnswer: sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*z + 30 + 2, 4*d = -z + 16. Suppose -3*x - 686 = c + d*c, -5*c - x = 852. Let o = -13 - c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*k + 1752, 5*z + 3*k - 2150 = -0*k. Let s = 140 + z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4946 minus 0.5?\nAnswer: -4946.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Let i = p - -9. What is the nearest to 0.1 in i, 1\/6, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 21*y + 42. Does 10 divide d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.2, 3\/2, 2\/51, 54, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30542 + -9530506.\nAnswer: -9499964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/920385 and -28\/15255.\nAnswer: 2761155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d. Let k(o) = -3663 + 16*o + 3663. What is g(k(m))?\nAnswer: 128*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1461 (base 15) to base 8\nAnswer: -10416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, -3, 3\/5, -67 in decreasing order.\nAnswer: 3\/5, 0.2, -3, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(0 + 1\/2). Let f = i - -2. Let o = f - 0. Solve -o*n + 5 = 4*m - 0*n, 5*m - 1 = -2*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 74*i**2 + 1106*i - 143. Calculate l(-53).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486040436 and 2257.\nAnswer: 486040436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1397704094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 69 = 2*q, 17896 - 18011 = -5*q + n for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.1 + 9. Let y = -1.1 + 0.1. Let u = -1 - y. What is the nearest to m in -2\/3, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.9 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*l + 7*l**3 + 316*l + 0*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*a - 2 - 0, -a = 4*c - 24. Let h be (1 + (-1 - -1))*c. What is the units digit of 2\/h + 26\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 11*y + 4. Suppose 3*x = 4*o + 14, -3*x + 9*o = 7*o - 16. Give p(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1219825 divided by -48793\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -36.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -9*i**5\/2 + 10767*i**4\/2 - 580119*i**3\/2 + 2422593*i**2\/2 + 9046944*i - 3139560 = 0?\nAnswer: -4, 1\/3, 9, 51, 1140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-46)\/7 - -4) + 12\/21. Suppose f - 2*c = -5, -f + 5*c = -3*f + 17. Sort f, 4, t in increasing order.\nAnswer: t, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(-2 - -3)*(-6)\/(-4). Suppose -4*a + k = -4*t, -t + 18 = -4*a + 6*a. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 693583*x**5 + 309597*x wrt x?\nAnswer: 13871660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (11 + 10 + (-3 - -3 - 5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 9 + 0)*(162 - 170 + 113)*(a**2 + a**2 - 3*a**2) to the form c*a**2 + v + b*a and give c.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + 127. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (45\/6)\/(-5)*(-4)\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407714.9 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 95*z**2 + 496*z - 683. Give n(-100).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 592? (a) -0.4 (b) 4 (c) 1133.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 3\/(-15) + (-228)\/10. Let h = 26 + o. Let b be -5*((-2)\/(-5))\/(-1). Solve -4*u + 6 = b*a, h*a + 5 + 8 = 5*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = -4*m, 4*m + 4*f = 5 + 11. Suppose 0 = -5*h + 12 + m. Suppose -5*g + 5*p = -5, 2*p - 14 = -h*g + 4. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hulvljum. What is prob of sequence ll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3602 - 718.4602. Round i to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -15. Suppose -4*s = -0*s - c. Suppose -19 = s*w - 76. What is the remainder when 36 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 - 108*g**4 + 536*g**3 - 648*g**2 - 540*g + 756 = 0. Calculate g.\nAnswer: -1, 1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*h + 2*i + 4, -16 = -4*i. Suppose -9*z + 18 = -3*z. Suppose 7*w - 8*w + z = 0. Solve h*q + v = w, 5*v = 4*q - 6 - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*f + 10. Suppose 0*u - 6 = -f*u. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/236 or -0.3?\nAnswer: 25\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**5 + 22866300*y**3 + 2*y**2 + 2*y - 65106249 wrt y?\nAnswer: -180*y**2 + 137197800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 7*z**2 - 6*z + 6. Let y be r(-6). Let w be (-39)\/(-9) - (-4)\/y. Let o = w - 2. Solve o*p + 2*p - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*s + 35 = 0, -s + 6*s + 20 = 0. Sort 2\/3, -2\/11, i in increasing order.\nAnswer: i, -2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + z**3 + 6*z**4 + 4*z**2 + 0*z**3 - 12*z**4 + 4*z**4 to the form f*z + l*z**4 + u*z**2 + y + j*z**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5260556 by 2630278.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1095373 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9213 to one decimal place.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isuuououyuuuuvusuv. What is prob of picking 2 s?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 393*b**7\/35 - 274*b**3\/3 - 1916*b**2. Find the first derivative of r(i) wrt i.\nAnswer: 9432*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*i - 2, 16*i + 5*k + 10 = 11*i. Sort i, -2, -299, -4 in descending order.\nAnswer: i, -2, -4, -299","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257392 is divided by 367?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 - 3*n**4 + 3*n**4)*(4*n - 2*n - n) - 5*n**5 + 6*n**5 - 7*n**5 - 4*n**2 - n**5 + 4*n**2.\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -536025, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9622166.\nAnswer: 2, 241, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**2*r**3 - 2*k**2 + 3*k*r**2 - 40*r**3 + 32 wrt r.\nAnswer: 42*k**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 17. Let o be c(-4). Solve -z + o = p + 3*p, -3*z + 15 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(9\/(-54)). Let v be h\/(-6)*10 - -2. Calculate the highest common factor of v and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 8. Let t be ((-2)\/6)\/(341\/171 - 2). Suppose 5*v + t = 2*n + 2*n, 2*n - 6 = -2*v. Give o(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 184 and -468.\nAnswer: -86112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.1169 to 0 decimal places.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from jrjjrjjrrrrj.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*j, 2*z - 5*z + 5*j + 45 = 0. What is the remainder when 27 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 9*f - 23. Let i(j) = 3*j**2 + 6*j - 15. Let h(r) = 5*d(r) - 7*i(r). Let n(u) = -u**2 + 2*u - 7. Give 5*h(o) - 7*n(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 702520 and 13896.\nAnswer: 6322680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1311222 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8)*v)**29 assuming v is positive.\nAnswer: v**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let z be ((-70)\/(-4))\/(2\/(-4)). Let r = -30 - z. Let w(a) = r*a - a - 2*a + 3*a. Determine j(w(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 + (-100)\/(-120). Put -0.5, -2\/5, v in increasing order.\nAnswer: -0.5, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 68, 100, 132?\n\"Answer: 32*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 84.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4 = 4*z - 0 - 30, 3*s + 11 = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 5*m - 27. Let f be q(-8). Let w(p) = 6*p**2 - 6*p + 2. What is the remainder when 291 is divided by w(f)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2037598 is divided by 339591?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:19 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 12 - 17 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 522 - 12552401?\nAnswer: -12551546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 15) in base 2?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8403, 8487, 8599, 8745, 8931, 9163?\nAnswer: 9447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-14)*18200\/(-1300)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/5 and 18\/85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -1\/120*d**6 + 0*d + 1\/24*d**4 + 11\/6*d**3 + 0 - 3*d**2 + 0*d**5. Suppose 112*q = 115*q. Determine s(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 37*d**2 + 15*d + 33. List the prime factors of m(-9).\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435366.2 decades in centuries?\nAnswer: 43536.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4810 = 5*k, 3*k = -u - 0*k + 1594. What is u rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-33 + 10 - -23) + -43.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-15) - 3*2\/18. Suppose -q = -2*g + 4. Suppose g + 78 = 9*l. Solve 0 = -2*u - 2*o + 6, l*o + 3 = 4*u + 4*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*z - 25, -2*v - 3*v = z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let k be -10*3\/(-6)*x. Solve v = 3*o + 1 + 1, -k*v = -2*o + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/((-75)\/95) + -14. Suppose -5*v + 8 = -3*v. Solve -d*i = -v*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:54 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 51 - x - 46 - 51 in the form c + n*x and give c.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621*a**2 - 813*a**2 + 11*a**3 - 808*a**2.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 + 3*x + 3. Let h(a) = -3*a + 5 - 1 - 149*a**2 + 7*a + 142*a**2. Let t = -8 + 4. Suppose -3*l + 2 + 13 = 0. Calculate l*g(m) + t*h(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a946 - -3?\nAnswer: 8a949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 55. Suppose 0 = -u*i + 5*r - 3*r, -4*i - 3*r = 0. Solve -k + s - 1 = 5*s, 5*s = i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6 - 3*u**2 + u**6 + 7*u**2 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-81)\/6*(-2 + 3 - -3). What is the common denominator of 1 + (-131)\/10 - -1 and 131\/63 - (-12)\/b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661186542.\nAnswer: 2, 157, 211, 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172324550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 284 = -14. Suppose -2*s + l + 57 = 0, -16*l = -s + 22 + 146. Calculate the remainder when q is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -1352273.19?\nAnswer: 1352273.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 11*o. Calculate j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(108) - (sqrt(243)\/sqrt(324) + 1))**2 + -1 + 3.\nAnswer: -138*sqrt(3) + 1739\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1878223 + 5?\nAnswer: -1878218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243765 and 417.\nAnswer: 33883335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 29)\/((-16)\/(-88)). Suppose 2*a = -5*s + 7*a + x, -5*s = 3*a - 173. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -n, 3*p = -2 + 5. Suppose 0 = -2*s + n*g + 20, -s + 4*g + 28 = 9. Find the second derivative of -s*r**3 + 5*r**3 - 3*r - 2*r**3 wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let c(v) be the first derivative of 0*v**2 - 3 + 0*v**3 - 1\/3*v**4 - 3*v. Let t(j) be the first derivative of c(j). What is l(t(q))?\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6024157 and -0.003.\nAnswer: -6024157.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 - -155. What is the closest to -9 in 5, j, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3243993, 3243990, 3243987?\nAnswer: 3243984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 e, and 1 f when four letters picked without replacement from {a: 3, w: 5, e: 1, d: 6, f: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -33, -64, -93, -114, -121, -108?\n\"Answer: r**3 - 8*r**2 - 10*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-30456)\/(-259092)) - 51?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x - 351. Suppose -46*h + 49*h + 80 + 40 = 0. Give u(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -1 - -28 - 2. Let n(v) = -2*v - 28 + 6*v + i. Let m(g) = 3*g. What is n(m(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = -2. Let l(a) = 3*a**3 - 2*a**2 + 2*a + 2. Let j(f) = -f**2 + f + 1. Give i*j(x) - l(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(-1))\/c)**(2\/75)*(c*c*c\/(c**(-1\/4)\/c)*c)**28*c**(-2\/21)*c**(1\/3)*((c*c**(3\/7)*c)\/c)\/(c**(-7)*c) assuming c is positive.\nAnswer: c**(3868\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*s - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 180 = -4*p, -5*b = p - 2*b - 45. Suppose 2*d - p = -5*u - 2*d, -2*u - 3*d + 25 = 0. Is (-15)\/3 + 14498 - (u + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2138.89682455 and 0.37.\nAnswer: 2139.26682455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = f. Let t(j) = j**3 + j**2 + j - 4. What is t(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 5*y + 5. Let q be v(-2). Solve q*o + c - 3*c = -6, 0 = -2*o + c - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 185*f**2 + 139*f + 426. Calculate x(-3).\nAnswer: 1674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 0*s + 2*s**5 + (-4 - 1 + 3)*(-3*s**5 + 2*s**5 - 2*s**5) + (-1 + 5 - 3)*(-8 - 4*s**5 + 8).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -120*z**3 + 33*z**2 - 21*z + 7. Let q(r) = -40*r**3 + 10*r**2 - 6*r + 2. What is 4*g(j) - 14*q(j)?\nAnswer: 80*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, 3969, 15609, 38263, 75603, 131301, 209029, 312459?\nAnswer: 445263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20692710.\nAnswer: 2, 3, 5, 19, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 63*n + 0*n**2 + 0*n**3 + 19\/2*n**4 + 61. What is the derivative of b(f) wrt f?\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229280 divided by -45856?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j - 23. Let k be p(3). Solve 5*u = k*t + 11, -u + 2*t = 4*u - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, -50, 743 in decreasing order.\nAnswer: 743, -50, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 5*m + 5. Let o(t) = 4*t + 2 - t**2 + t**2 + 2*t**2 + 2. Let k(r) = -4*n(r) + 5*o(r). Let l(u) = u**2. Give l(k(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**3 - p**2\/2 + 2*p. Let u be k(6). Solve u - 10 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 12*u**2 - 13*u + 13. Let k be c(13). Suppose -3*i - b + 9 = 0, 4*i - b = -1 + k. Solve 0 = -i*o + 2 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {b: 1, s: 1, f: 1, m: 11, v: 2}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 606\/30 - 2\/10. Factor -4 - 7*d - 4*d**4 + r*d**3 - 4 - 36*d**2 + 26*d + 9*d.\nAnswer: -4*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7841873 and 23?\nAnswer: 7841873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 2*v - 4. What is the remainder when (18*(-2)\/(-4))\/(24\/128) is divided by g(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 57. Let i(r) = -20*r - 2. Let z = 12 + -13. Let l be i(z). Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101010111 + 1000010001011?\nAnswer: 100000111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 434*b - 434*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p + 12. Suppose -5 = -5*v - 5*u, -5*u = 5*v - 2*u + 1. What is the remainder when 130\/15 - v\/p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6)*102\/(-105). Let b = -18\/7 - h. Is b less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-127)\/((-2775585)\/(-1269))*(-2)\/(-3)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3)\/((-21)\/(-35)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 35) + (-36 - -48).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91205?\nAnswer: 5, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 - 6 = 0. Let b = -833 - -838. Suppose v*g - w - 20 = -4*w, -2*w = b*g - 50. What is the greatest common divisor of g and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201481 is divided by 33569.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**9\/16632 - w**8\/2310 - w**7\/1155 + w**3 + w. Let s(g) be the second derivative of d(g). Suppose s(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from {k: 15, t: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0843231223 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 491*k**4*m + 8*k**4 + 3*k**3*m - 1358*k**2 + k + 3*m wrt k?\nAnswer: 11784*k*m + 192*k + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-324))\/(8\/6)*((-315)\/(-15))\/(-7).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/247*0 + 3. Solve 508*x - 504*x + 3*j = 12, j - 4 = -m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*t**4 + 44*t**4 - t**3 - 23*t**4 + 15 as k*t**2 + s*t**3 + y*t**4 + u + i*t and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 15, -3.\nAnswer: -3, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4.93 times -0.2\nAnswer: 0.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143022422 (base 5) to base 8.\nAnswer: 12242541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584220.2 meters in micrometers?\nAnswer: 584220200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 254. What is the closest to x in 0.01, -6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.234 litres to millilitres.\nAnswer: 300234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -49*f**5\/2 - 379918*f**4 - 651205*f**3\/2 + 364403*f**2 + 186064*f - 124048 = 0.\nAnswer: -15506, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 44 = -24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 1\/((-2)\/(-3) + (-793)\/915). Solve s = -47*k + 24*k + 161 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -19.9, -7?\nAnswer: -19.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341815 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + 12\/108. Suppose 2*b + 4*z = 0, -2*b + 7*b + 5*z + 5 = 0. What is the second smallest value in b, 22, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 202.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + z - 1. Suppose 5 + 10 = -5*r. Let l be (-1)\/(-4 - r)*1. Calculate j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 18*d**2 - 21*d + 38. Let z be a(19). Suppose 5*i - 81 + 61 = z. Solve 0 = 2*u + i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 - 1188*w - 68080. Give x(-96).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -406038 + 406038. Let k = -0.6 + 0.1. Put 4\/3, j, k, 31 in descending order.\nAnswer: 31, 4\/3, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/46 and -3\/136436.\nAnswer: 136436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 20 = -4*l - 4*r, -4*l - 20 = -4*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/12 + c**4\/4 + 7*c**3\/3 + 3*c**2. Let h(g) = -2*g**2 + 2*g + 5. Calculate 4*a(x) - 11*h(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 28. What are the prime factors of (n\/(-6))\/((-1)\/(-15))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Suppose -j - j + 0*j = 0. Let z(g) be the third derivative of 0*g + 3*g**2 + 1\/12*g**4 + j + 0*g**3. Give z(a(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 54*h**3 - h - 2. Let u(f) = 162*f**3 - 3*f - 5. Determine 8*b(z) - 3*u(z).\nAnswer: -54*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (205100 - 205023 - v**2 + 0*v**2)*(1 - 2*v - 1) as d*v**2 + p*v + k + f*v**3 and give p.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 5 - -6) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-4)*-8*-1. Let t = 20 + c. Find p, given that -5*p - 17*p**2 + 5*p**2 - t + 11*p**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277770 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: -3 + (-7 - (-5 + -8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**2 + 4. Let l(t) = 3 - 3*t - 3. Determine l(w(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -81. Suppose w = 2*a + 42. Which is smaller: 14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 116 = 4*s, 4*b = 4*s - 2*s + 118. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -52732.0295 rounded to the nearest integer?\nAnswer: -52732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1047 + -1048)*((-6)\/(-27) - (56\/9 - -1)). Let f(y) be the first derivative of y**4\/4 - 7*y**3\/3 + y**2 - 7*y - 1. Give f(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-22 + 20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 12*z**4 - 57*z**3 + 81*z**2 - 24*z - 12 = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -959 - -675. Let n = c - -283.871. Round n to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102743437?\nAnswer: 17, 64867261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:04 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/sqrt(11))\/sqrt(9)*4)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/16, 0.14 in descending order.\nAnswer: 1, 3\/16, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 17\/15*3. Let w = 64 + -37. Let p = w - 27.2. What is the nearest to d in p, 3, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -35*g**2 - 37*g**2 - 5*g - 3 - 5 + 73*g**2. Let y be p(8). Suppose y*b = 18*b - 230. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-22) - (-130)\/(-4). Let f = z + 34. Let j(x) = 1 - 7*x**f - x**3 - 3*x - 4*x**3 + x + 8*x**2. What is j(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3.08, 0.3.\nAnswer: -8, 0.3, 3.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55243, -220936, -497045, -883534, -1380367, -1987508, -2704921?\nAnswer: -3532570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0.6. Let k = -1.8 - r. Sort -3, 2\/3, k in increasing order.\nAnswer: -3, k, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13712 < 14039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmjmjm?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/((-261)\/(-390)))\/((-625)\/750)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f = -5*t + 42*f + 5, 5*f + 7 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53628*l**4 - 1636*l**3*q**3 - 240366846*l*q**3 wrt l.\nAnswer: -643536*l**2 - 9816*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 55 = 4*a + 4*o, -3*a + 2*o = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1014563 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1297, -2595, -3893, -5191, -6489, -7787?\n\"Answer: -1298*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. What is the first derivative of 2 - 9 + 6*r**2 - l wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from kkbnnvakkkvboabvbk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1194 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70661 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 216955, 220829, 224703, 228577, 232451?\n\"Answer: 3874*q + 213081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**3 + 28*n**2 - 4*n**2 + 13*n**3.\nAnswer: -2*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*n - 63*n - 126*n + 4456 - 309 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4174881mg to tonnes.\nAnswer: 0.0000000004174881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {l: 1, o: 3, g: 2, c: 7, v: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(8 + 16 + -21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -537 by -1.\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 24.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 13 = -6*f. Let x = -65 - -95. Calculate the least common multiple of x and f.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/5, -4, -13, -1\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6446*h**3 - h + 3 - 6783*h**3 + h.\nAnswer: -337*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w - 2*w)*(0 + 2 - 1)*((-5 + 4 + 0)*(-1 + 1 + 1) + 4 - 3 + 5).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*l = 25541, l = 11*u - 10*u - 12767. Suppose -u = -15*b - 4*b. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 - -1683. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 6*l + 0*l - 20*l + 2*l + 3*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 41c9?\nAnswer: 41c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90.44 + 85.44. What is the second smallest value in -70.97, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3 = 0, 6*z - 3*h = 3*z + 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.18 + -54. Let w = p + -0.28. Let f = 3 - 5. Which is the smallest value? (a) -1 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 40 = -21*h + 60*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7409803, 7409807, 7409811?\nAnswer: 7409815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2\/3*y**3 + 4\/3*y**6 + 1\/7*y**7 + 0*y**2 + 0*y**4 - 7*y + 0*y**5 - 237. Find the third derivative of m(n) wrt n.\nAnswer: 120*n**3 + 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*g - 10560 = -7*s, -2*g - 10595 = -5*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/45)\/((-4)\/(-5154)). Let o = p - 173. What is the nearest to 0.1 in o, -3\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-16)*(-170)\/306*(-108)\/(-90)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84087\/15911 - -2\/2273. What is the common denominator of 21\/499 and z?\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -628\/153 - -66\/17. What is the biggest value in 0.4, 3\/4, a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571317 is divided by 13316?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + q - 25, -i + 2*q - q + 11 = 0. Suppose 0 - i = -n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -3*c**5\/10 + 7*c**4\/24 - 2*c**2 + 18*c. Let t(x) be the first derivative of k(x). Find the second derivative of t(f) wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17 + -18 + 0 + 1. Let f = 5.6 + -0.6. Suppose c - 2 = -2*u, -2*c + 3 + 10 = -5*u. What is the biggest value in f, u, -4, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 70\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + (sqrt(171) - 5*(-2*sqrt(171) + sqrt(171))))\/(4*(sqrt(9) + sqrt(72)\/sqrt(8))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 273, 269, 263, 255, 245, 233?\n\"Answer: -u**2 - u + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8888225820.4 - -317\nAnswer: -8888225503.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-99) - 81\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -58. Suppose -w + 9 = -x*w. Are 9 and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 315, 330, 377, 468, 615, 830?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3509611 is divided by 184715?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 20 + 11*q - 14.\nAnswer: 11*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*i + 140 = 0, -3*p + 52586 = -2*i + 52507 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97382660\/7 > 13911809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4470?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29.5 (b) 1\/2 (c) 1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6076 and 273227087?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 5*z - 699*t + 698*t, -4*z = t + 106 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(((-78477)\/28638)\/707).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.6 + -3.6. Let z = y - 18. Let u be (6 + (-53)\/8)*4\/(-30)*3. Which is the nearest to u? (a) 9 (b) 3\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 550?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -607080 divided by -75885?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 195 (base 10) to base 2\nAnswer: 11000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 522239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91433 = -88*m + 246841. What are the prime factors of m?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x, -4*g + 5*x = 404. Let t = -502\/5 - g. Let n = 10 - 9. Which is bigger: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -1\/7 (b) -5 (c) 3 (d) 1.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/12*82*(-4)\/6 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*j + 519*j - 48326 = -272*j + 234*j for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597353519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o**2 - 2*o + 14. Let l be i(-5). Let h = 21 - l. What is the remainder when h is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110101001110 - 100?\nAnswer: 1101110101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 2. Suppose 0 = 5*v + 8*v - 117. Let z(n) be the third derivative of 5*n**4\/8 + 3*n**3\/2 - 4*n**2. Determine v*y(a) + 2*z(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-50)\/(-4))\/((-1)\/(-2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 74, 95, 152, 263, 446, 719, 1100, 1607?\n\"Answer: 3*n**3 + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1636 and 17405813?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 + 94 - 314)*(r + 3 - 3) - 1 + 3*r + 1 + (2 - 3*r - 2)*(-2 - 1 + 1) + r - 2*r - r.\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -61801300 to the nearest one million.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/20)\/((-4)\/32). Let v = 0 - 2. What is the nearest to v in -3\/2, h, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zlzzlz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/((o*o*o**27)\/o))\/o*o*o**19)\/(o*o*(o**(20\/9)\/o)\/o*o*o*o*o*o*o**(2\/5)*o))**40 assuming o is positive.\nAnswer: o**(-5624\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*(-4)\/(-5). Suppose 0 = 2*i + 2*x - 4*x + 22, -4*i + 5*x = 47. What is the units digit of ((-244)\/16 - n)\/(3\/i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2554755 + 2556249 - 5111004 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 186716 + -99865. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:56 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f - 2. Let j(s) = s**3 + 29*s**2 + 170*s + 44. Let i be j(-21). Let b(c) = 494*c + 91. Determine i*b(v) + 91*h(v).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/15 - p**4\/12 + 5*p**3\/6 - p**2. Suppose 4*z + 3*a - 10 = 3*z, -z - 2 = -3*a. What is the tens digit of f(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one halves of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 4*v - 28. Suppose k - 2 = 0, -4*t - 7*k = -5*k - 24. Suppose -t*z = 4*l - 215, z - 2*z = l - 55. What is the remainder when v is divided by l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15386044 divided by 668\nAnswer: -23033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiireeimmriieiemii. What is prob of picking 1 i and 1 e?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*1 + sqrt(30)\/(-2*sqrt(10)))*-3)**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -42, -2\/11, -5, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13382 - 13379. Solve -p*a + g + 15 = 0, a = -5*g - 16 + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 158524591, 158524590, 158524589, 158524588, 158524587, 158524586?\n\"Answer: -p + 158524592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, n: 4, c: 9, h: 1, z: 1}. What is prob of sequence nhc?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c. Let j(h) = 682*h**2. Calculate j(r(a)).\nAnswer: 6138*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 4. Suppose -4*p - 7 = -39. Calculate the smallest common multiple of l and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 804 by -268.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 7:42 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:25 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/18)\/(-1)*3\/20?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n - 1375 - 224. Let i = -102 - n. Which is smaller: i or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43412810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*o + 3*t, -o + t = o - 3. Factor 9*a**4 - 9*a**4 - o*a**2 + 26*a**4 + 0*a**3 + 22*a**3.\nAnswer: 2*a**2*(a + 1)*(13*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -157 and 131596505300?\nAnswer: 131596505457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6912, -13757, -20522, -27201, -33788, -40277?\nAnswer: -46662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -1. Suppose -5*o + 47 = -2*n + 3*n, 2*n - 94 = 4*o. Let s = q + n. Solve -t = -3, -3*r - 2*r - 3*t + s = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -1 + -10*(-3 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.1 plus -5.3?\nAnswer: 134.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5584*s**6 - 10*s**4 - 63383*s**2.\nAnswer: -670080*s**3 - 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693673567 to the power of 1\/3, to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**5 + j**4 - 124 - 25*j**5 + 2*j**2 + 104 wrt j?\nAnswer: -1200*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 129, 295, 457, 615, 769, 919?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2845 and 1\/54 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4884)\/594 + 1\/(-2)*-16.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -154?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3428712 and 936?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)\/b*b\/(b*b*b**28*b)*(b**29)**24 assuming b is positive.\nAnswer: b**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -260? (a) -0.2 (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 14*p + 2. Let d be b(-14). Let v(j) = 4*j**2 + 6*j - d*j**2 - j**2. Give v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/6803 + -496519\/340150. Calculate the common denominator of x and -119\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.5 + -33. Let f = 0.3 - 0.1. What is the second smallest value in u, f, -4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043384*r = -1043514*r + 7410 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -316040 (base 10) to base 9\nAnswer: -531465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/20606729 and -29\/2145?\nAnswer: 309100935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41797, -167134, -376009, -668422?\n\"Answer: -41769*r**2 - 30*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -6 + (3 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-1)\/3)\/((-85)\/(-765))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 7*l**2 + 41*l + 225. Give h(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 1. Let v be (-38)\/(-14) + (-4)\/(-14). Suppose 3*b + 15 = v. Give r(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 0, -2*u + 15 = -g + 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49625 divided by 1\nAnswer: -49625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyjyyiyyh. What is prob of picking 1 i, 1 y, and 1 h?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + h + 4. Let w(f) = -10*f - 1. Let l be w(-1). Suppose 4*k - k + l = 0. What is j(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110 - -4 - 25\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 25*y = -3. Which is smaller: -7\/4 or y?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/5 - 17\/45. Let r = -0.05 - 0.25. Let y = -0.7 + r. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 162. Let j = -216 + w. Let v = j - -115. What is the highest common divisor of v and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 224. Suppose 18*o + 4*i + 48 = 22*o, 0 = -3*o - 4*i + 1. What is the highest common divisor of h and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in 3, -4\/7, 7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 - 12 = 0. Solve -y*v + 2 = 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750 (base 14) to base 15\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/4, 1\/7, -35?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24824 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 115*w**2 + 249*w + 16. Is u(-54) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8 + 23.8. Let u = 12 - p. Let x = u + 9.0000005. What is x rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-10)\/((-200)\/(-45)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -1\/3*q**4 + 0*q**6 - 2\/21*q**7 + 0*q**2 + 0 + 4*q + 0*q**3 + 0*q**5. Find the third derivative of o(i) wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 338 - 338. Solve -4*l = 2*i + 26, 2*l + 3*i + 23 = -x*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -111000000000101000?\nAnswer: 111000000000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 411359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k - 11465 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669221 is divided by 1256.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.34 - 5.64. Let t = -48 - -48. What is the closest to t in 12, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 105?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -145, 10\/9, 0.1, 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzztxzxzxzzlkzzzzt. What is prob of picking 1 l, 1 t, and 2 x?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c35 + 98?\nAnswer: ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 307986?\nAnswer: 1231944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 8, 0.5, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00801977785 rounded to five dps?\nAnswer: -0.00802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*w + 3*w + 1, -3 = -3*d + 3*w. Let c = -0.014 - -2.114. Let l = c - 0.1. Are d and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*6977\nAnswer: 153494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6015*d = -6255*d + 21360 for d.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - 3*p**4 + 0*p**4)*((4 + 2*p - 4)*(-4 + 5 - 3) - 5 - 2*p + 5).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 87 - 268 + 103 + 0*j**2 + 78.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 10200.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:07 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2841598736 divided by -4?\nAnswer: 710399684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*p**3 - 4*p - 8 wrt p?\nAnswer: 372*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 - 350347*s\/4 + 788301.\nAnswer: -(s - 9)*(s + 350356)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 + o**2 + o + 1. Let y be d(-1). Suppose 2*l - 5*l = -15. Solve -4*r + 4 = -3*m, m + 2*m - y*r = -l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -291249, -291236, -291209, -291162, -291089, -290984, -290841, -290654?\n\"Answer: d**3 + d**2 + 3*d - 291254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-12))\/(6\/(-312)). Suppose t = 4*o - 37. Suppose -9*z - 2400000 = -o*z. What is z rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1088) + 3).\nAnswer: 15 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(228)*-1)\/sqrt(12) + 0)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bba87 + -9?\nAnswer: -bba91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 85782358 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46316 = 47*j - 43*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*q + 2 = 0, 4*q + 8 = -2*j + 2. Let p(k) = -491*k**3 + 2*k**2 - 1. Let d be p(j). Round d to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/60 + 5*l**5\/6 - 25*l**4\/12 + 17*l**3\/2 + 3*l**2 - 2*l - 45. Determine i(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.6 - 36.6. Put d, 5, -1 in ascending order.\nAnswer: d, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/265 and -59\/45?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -276004.6302 - -275975. Let l = i + 29.6. Round l to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 - 212.2. Let o = -13153\/5 + 2639. Let l = o + -8. What is the third biggest value in f, l, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*m - 42391, -2*t + 63087 = 5*m + 20752. What are the prime factors of t?\nAnswer: 5, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3 + 4173916*o**2 - 66783424*o + 267134720 = 0?\nAnswer: -1043495, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 8*c**3 - 2*c**3 + 16*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27750 and 2553090?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42281 by -18.\nAnswer: -42281\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176593 is divided by 1176584.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 319 + 0 + (-3)\/(-3). Suppose 5*p + 5*f - 375 = 0, 2*p = -2*p + f + h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 4*a - 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.034685 (b) 0.4 (c) -2633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t - 6*t - 115. Let w(l) = -l - 2. Calculate w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -6*x**3\/5 + 48*x**2\/5 - 18*x = 0?\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511\/(-73)*-2*(-6)\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Suppose g = -3*g + 5*m + 39, -2*g - 2*m = -6. Let v be (-4)\/g - (-344)\/129. Calculate the highest common factor of v and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {d: 1, p: 1, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 4*x**2 + 4*x - 3. Let j(n) = n. Let z be j(3). Let w be v(z). Let r(u) = u**2 + 22. Does 12 divide r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.809 + -1.191. Let c be 1 + -2 + 14\/12. What is the smallest value in n, 0.2, -0.4, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 36*q**2 - 6*q + 60. Let w(u) = 4*u**3 + 138*u**2 + 24*u - 239. Give 23*j(c) + 6*w(c).\nAnswer: c**3 + 6*c - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2*m + 7*m)*(0*m + 0*m + m) - 4*m**2 + 7*m - 7*m + (3*m - 2*m - 2*m)*(-4*m + m + 5*m) + 2*m**2 + 2*m - 2*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 5 + -3 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529682.8 decades to millennia.\nAnswer: 5296.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 30 + 230 = r, -4*o + 2*r = -408. Let k = o - 24. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 27*f - 168. Let t(q) = 11*q + 4. Let n be t(2). Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - a**4 - a**4 + (-4*a**3 - 3*a**3 + 5*a**3)*(537*a - 942*a + 1076*a)*(0 + 1 - 5).\nAnswer: 5366*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 161 = -4*b, -l - 2*l = -2*b - 167. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51616 times 1475\nAnswer: -76133600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 231*u**3 + u**2 - 4*u - 62. Let g(k) = -k**3 + k + 1. Let p(i) = 4*g(i) + q(i). What is the third derivative of p(f) wrt f?\nAnswer: 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4595627 or 4595628?\nAnswer: 4595628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = -3*h - 2*o - 202, -2*h + 3*o = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 7*k + 2. Let o(w) = 2*w**2 + 8*w + 3. Let y(h) = -3*o(h) + 4*q(h). Let a be y(-4). Solve -a = -2*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = -u. Let i(f) = 15*f + f**2 - 10 + 3*f**2 - 5*f**2. List the prime factors of i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*i = 71, -8 = -a - i - i. What is the remainder when 30 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 85, 154, 241, 352, 493, 670?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (0 - (1 + -3 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5 + 4 - 2*y + 0 + y. Let s be j(-6). Suppose -5*i = n - 498 - 12, s*i - 530 = 3*n. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.41 - 3.7. What is n rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 130 - 65 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {g: 5, n: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*i - 6031, 2659 = 2*n + 2*i - 357. What is the second derivative of -4*h - 2*h**2 + 3 + 2*h**2 + n*h**3 - 1536*h**3 wrt h?\nAnswer: -162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 20*l + 198 = -23*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 860681788.52835.\nAnswer: 860681789.02835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.9 + -39.174. Let b = 0.474 + l. Let h = 0.06 + -0.36. What is the third smallest value in b, -6\/7, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 16, 0 = 5*t + 7*o + 7 + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - -2) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1998 and 4440.\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 8*q - 9. What is the lowest common multiple of s(-5) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(324) + sqrt(324) + (sqrt(324) - (2*sqrt(324) + sqrt(324)))*-2 + sqrt(324))\/sqrt(12)*5)**2 + 0.\nAnswer: 33073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/9 (b) 2 (c) -2671.1485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 33. Suppose z - y = 4*z. What is the common denominator of (1\/z)\/((-5)\/75) and 9\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/112 and 41\/840.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*h - 49 - 50 + 101)*(20*h**3 + 48*h**3 + 14*h**3) to f*h**2 + z + b*h**4 + w*h**3 + c*h and give w.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -402*c**3 + 42*c - 99*c**2 + 352*c**3 + 3583 + 99*c**2 wrt c?\nAnswer: -150*c**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 2*x + 3. Let v be a(3). Suppose 2*k - 8 = v, d - 69 = -2*k + 17. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.55 rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/9 at least as big as -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jggg when four letters picked without replacement from {j: 6, w: 3, g: 4}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -34. Suppose -k - 4*u + 55 = 1, k - r = 2*u. Suppose 3*p - 5*p + k = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100\/150*3\/(-2). What are the prime factors of (-3)\/12*(-405 - v)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 3400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -57. Suppose 0 = -3*d + 2*d - q, 2*d - 4*q = -18. Which is the nearest to 0.4? (a) k (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.97 + -0.03. Let f = -7.6 - l. Let i be -8 + 5 - 35\/(-11). Which is the third biggest value? (a) i (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*n**2 + 6 - 1 + (-2*n - 1 + 1)*(-6*n + 3*n + 4*n) + 46*n**2 - 291*n + 291*n + (0 - 2*n + 0)*(-n - 3*n + 2*n).\nAnswer: 46*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -759900 divided by 12665.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let d(s) = 892032*s. Determine d(q(z)).\nAnswer: -892032*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*i**3 + 2235*i**2 + 18580*i - 2700 = 0. Calculate i.\nAnswer: -54, -10, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 590533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 5. Let s be k(-5). Let b(g) = 3*g - 2 + 2 - 2*g + 5. What are the prime factors of b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*w + 40, -9*p + 5*p - 4*w = -56. Calculate the greatest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 5709\/(-297) - (-4)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2736))**2*1 - sqrt(2736)) + -2 + ((-1 + sqrt(2736) + sqrt(2736))*-1 + sqrt(2736) - sqrt(2736))**2 + (sqrt(2736) + 0)*-5 + -3.\nAnswer: -120*sqrt(19) + 21884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -54*j**3 - j**2 - 2*j - 1. Let s(z) = z**2 + 5*z + 5. Let n be s(-3). What is the tens digit of m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-1 - (10 + -2))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n. Let p(q) = 9*q**2. Determine g(p(z)).\nAnswer: -153*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/24 and 31\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(-6*(3 + 1 + sqrt(396) + 5) + -5).\nAnswer: 885 + 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117848 and 294620.\nAnswer: 589240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16050 and 1260?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycndpcc. Give prob of picking 1 d and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110002202101 - 1123?\nAnswer: 110002200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let l(u) be the first derivative of 0*u + 24 + 1\/2*u**2. Determine f(l(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(((y\/(y*y\/y**(-1\/2)))\/y)\/y))*y**(-2\/23) assuming y is positive.\nAnswer: y**(-165\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 + 3 = 0. Suppose -x - 3*s = -2 + 1, -3*x - 4*s = -o. Suppose -9 = -4*v - x. Solve -v*g + 1 + 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-2 - 12 - (-17 + 15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 21*m - 2. Calculate the remainder when 439 is divided by a(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 8*a - 105*a**3.\nAnswer: -105*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11576948, 46307821, 104192610, 185231315?\n\"Answer: 11576958*v**2 - v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256109, 256126, 256177, 256280, 256453, 256714?\nAnswer: 257081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1631*v - 383*v**4 + 1631*v - v**4 + 2*v**4 + v**4 + (2 - v - 2)*(-v**3 + 3*v**3 - 4*v**3) + 4*v**4 + 2*v**4 - 5*v**4.\nAnswer: -378*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 - (-2 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 533869952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*p - 260, 4*p - 5*r = 141 + 229. Let f be 2\/(-15) + 192\/p. Solve g - 3 = f*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d - 2. Let u = -10 - -9. Let f = u - -11. What is the smallest common multiple of f and m(2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hghhhhqhw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 2. Let z(m) = 1. Let l(k) = v(k) - 3*z(k). Let b be l(3). Suppose 0 = -3*r + i + 77, 2*i = -0*i + b. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -572\nAnswer: -2860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 24*w**2 + 13*w + 1. Let t(v) = 99*v**2 + 53*v + 4. What is -17*h(z) + 4*t(z)?\nAnswer: -12*z**2 - 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1172 (b) -24 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 390.\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 2. Let n be x(8). Suppose 29*t - 30 - 36 = 50. Solve 0 = t*q - n*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 3*k. Let t(j) = j + 0*j**2 + j**k - 9 + 5*j. Suppose -585155*y - 616 = -585078*y. Give t(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1424.4 (b) -4 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-15))\/(8\/(-20)). Suppose -5*x = 25, 6*x = -4*p + f*x - 35. Sort p, 3, 5 in ascending order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 3\/8, 7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -679, -704, -731?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 12:16 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) 2 (c) 108 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + (-1 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389300 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-75)\/(-20)*(57\/9 + -1). Suppose -g = p - 6*p. Put 11, p, 2, 0 in descending order.\nAnswer: 11, p, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12629123, 25258248, 37887373, 50516498, 63145623?\nAnswer: 75774748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -2, -4, -17?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saas when four letters picked without replacement from {a: 5, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(3285070\/170 - (-9)\/153). Is r > -9662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1864*b - 2 + 509*b - 35639*b**2 + 34289*b**2 - 3.\nAnswer: -5*(b + 1)*(270*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3580360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -927b1 - -a17?\nAnswer: -91996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, 48\/5, 0.1, 1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -39. Suppose 0 = 3*n + n + 20. What is the closest to 0.2 in -2\/5, n, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 10, -0.096, 2\/39, 0.4, 5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 + 19*j + 21. Let k(c) = 6*c**2 + 18*c + 20. Let n(a) = 6*k(a) - 5*z(a). Calculate the remainder when 32 is divided by n(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982 is divided by 125?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(18\/(-6))\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-96)\/(-308))\/4)\/((-18)\/(-126)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 242\/3 + -408\/5. Let n = -163\/240 + 1\/80. Let s = -14\/15 + n. What is the common denominator of j and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7045484, 14090980, 21136476?\n\"Answer: 7045496*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -7358.2, 0, -0.28 in decreasing order.\nAnswer: 0, -0.28, -2\/7, -7358.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1045)\/40 - (3 - 4). Let n = a + -43\/8. What is the common denominator of -15\/82 and n?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/18)\/((-4)\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048 = 518*p - 1566 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128860 is divided by 553.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200210 (base 3) to base 15.\nAnswer: -be9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -28*s - 316 - 4 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*h = 458*h + 1. Which is bigger: h or -4\/237?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 21*o**2\/2 + 33*o - 20. What is the first derivative of g(q) wrt q?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:22 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*c + 15*c = 1799 + 185 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:17 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {v: 1, y: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40894637527420 and 2?\nAnswer: 40894637527422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.73414 and -7.\nAnswer: -110.13898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5303.457 millennia to years.\nAnswer: 5303457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78610\/5635 - 14)*(3 + (-26)\/4)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12553930 is divided by 4184629.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1123652*n**5*x - 61*n**2*x + 2*n**2 - n*x + 3*n - 10 wrt n?\nAnswer: 67419120*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 493303547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.04, 7, 4, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67699830*j**4 + 51457642*j**2.\nAnswer: -1624795920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*x + 145*x = -411 - 3729 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) + 33\/(-36). Let c = 0.066 + 1.634. Let u = c + 0.3. What is the third biggest value in -2, f, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -530.81 or 128?\nAnswer: -530.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 2*q - 21. Let l be h(0). Let c = l + 20. Which is smaller: c or 1\/25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzgivizvp. Give prob of sequence vizz.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1407 at least -1454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from sssussusisnsssuvsui.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 131, 2 in descending order.\nAnswer: 131, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2, 2*d - 3*m - 40 = 58. Let j = 46 - d. Let i(o) = 4*o - 1. What is i(j)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14125*c**3*f**2*t - 3*c**3*f - 2*c**3*t - c**2*f*t + 89*c*f*t + 2*c*f + 356*f**2*t - 229*f*t wrt f.\nAnswer: -28250*c**3*t + 712*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5 - 5. Let s(m) = -3*m**2 - 21*m + 1. Let i(g) = -g**2 - 10*g. Let k(o) = t*s(o) + 5*i(o). What is the units digit of k(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y**2\/13 - 36614746*y\/13 + 2929180\/13 = 0. What is y?\nAnswer: -732295, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2\/(6\/15))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*x + 9, 14*g - 9 = 17*g - 2*x. Let s be (g - 1\/1) + 518 + -1. Let k = s + -254. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28559 and -1.\nAnswer: -28559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:04 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:03 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 22*w - 2497238 + 140136. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217888 and 4649928?\nAnswer: 4952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 365205.\nAnswer: 2921640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20500109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 94\/13, 1\/8, 0.066, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*3*(-11)\/22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 18 + 1)*(1457 - 1457 - 44*x**4).\nAnswer: 1056*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 68 = 4*y, -y - 3*u = -5*y - 68. Let z = y - -3. Let q = 23 + z. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6794*y**2 + 8*y + 16. Let m(b) = 5*b. Give o(m(k)).\nAnswer: 169850*k**2 + 40*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5\/3 - 3272*q**4 + 762332*q**3\/3 - 6302744*q**2\/3 + 5458928*q - 13484320\/3 = 0. Calculate q.\nAnswer: 2, 5, 71, 2374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15907587 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2754226802 to the nearest integer?\nAnswer: 52481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -23 - 19) + 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:13 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6260)\/110176*(-52)\/(-10))\/(1\/8).\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*x - 16 + 40, 4*z - 3 = 3*x. Let b be -3 - ((-4)\/(-18) - z). Is 1\/4 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f)\/(f**(-6)*f)*f**(-6)*f*f**(-1\/5))**22 assuming f is positive.\nAnswer: f**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let s = -3 + k. Let v = 12 + s. Calculate the greatest common factor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 1293, 1832, 2297, 2682, 2981, 3188, 3297?\nAnswer: 3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1)*-4.\nAnswer: -8*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 9 + 9 - 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10626*o**3 - 21261*o**3 + 10619*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a factor of 365354649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5196.18 to the nearest 10.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 4*d**2 + 4*d**2 - 3*d**3 - 3*d**3 + 4*d**3 + (-2*d**2 + 0*d**2 + 0*d**2)*(-7*d + 3*d + d) - 4*d**3 + d**3 + d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-114)*((-19)\/(38\/4))\/((-3)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 282.3?\nAnswer: 287.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1426\/279 + (-3)\/27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144307?\nAnswer: 144307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 37 = 10*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76796, -151882, -226970, -302060, -377152, -452246?\n\"Answer: -p**2 - 75083*p - 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.1, -1\/7 in ascending order.\nAnswer: -1\/7, -1\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 5 = 2*b + 3*x, 4*x = 16. Suppose 1 = 3*m - b. Let n = -1 + m. Which is smaller: 1\/3 or n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5 - 221905*d**4 + 3106801*d**3 - 14424635*d**2 + 22191900*d = 0?\nAnswer: -221919, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167375*g**2*s**3 + 2*g**2*s**2 - 3*g**2*s + 12*g**2 + 389*g*s - s**4 - s wrt s?\nAnswer: 1004250*g**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1581916 = -107*q + 9*q. What are the prime factors of q?\nAnswer: 2, 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -5*l**7 - l**3\/3 + 3. What is the third derivative of g(b) wrt b?\nAnswer: -4200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*sqrt(343) + (sqrt(343) - (sqrt(343) - -2*sqrt(343))) + sqrt(343) + 2.\nAnswer: -14*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4347432041.\nAnswer: 227, 2221, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 7. Let v be (12\/(-36))\/(1\/u). Let q(h) = -h**2 + 2*h + 4. Let g be q(3). Put 4, g, v in increasing order.\nAnswer: v, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 3*h - 2. Suppose -2*s = c + 6, s - 3 = -c - 4. Determine q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(672))\/(2*-1*sqrt(6)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 45 - 61 = 2*i, 8 = 2*i - 2*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266\/(-4)*((-152832)\/(-672))\/(-199).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1188.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28854 minus -18?\nAnswer: -28836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = g - 15, 5*s - 25 = 2*g. What is m in m + 3*m**5 - 2*m**3 + 3*m**s - 5*m**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 2*i - 1. Let g(c) = 4*c**2 - 3*c**2 + 5*c**2 + 2*c + 1 - 4*c**2. Let b(w) = -w - 7. Let t be b(-4). Give t*r(d) - 4*g(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.065 * 2\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 5*g. Let u be y(4). Suppose -q - 4*z + 0*z = 0, -2*z = -2*q. Solve q = -l + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226792720.9 rounded to the nearest one thousand?\nAnswer: 226793000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, -3, 4, 0.5.\nAnswer: -159, -3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7*n - 40 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.012 + 0.988. What is the closest to c in 1, 2\/3, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-15))\/(1674\/5115)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 4*d + 7. Let s be o(-5). Suppose 2*g + s = 4. Let z be 0\/(0 + g) + 2. Solve -c + 17 = 5*q, -c + 3 + 5 = z*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -41. Let y(j) be the first derivative of -5*j**2\/2 - 6*j - 7. Let z(p) = 2*p + 2. Give n*y(w) + 11*z(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 32. Let t = u - -9. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f**2 - 58*f - 7. What is the units digit of h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50497481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (-4 + 1 + -1*sqrt(208))*3)**2 + 3.\nAnswer: 336*sqrt(13) + 2076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23874984 and 55708296.\nAnswer: 167124888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-39)*27\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 + 5.2. What is the fourth biggest value in j, 2\/17, 0.1, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4068842070 to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -423, 2, 1, -1884 in increasing order.\nAnswer: -1884, -423, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 120\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - z = 19, 4*g - 24 = -4*z - 0*z. What is the third derivative of 5*q + 5*q**2 - g*q + 4*q**6 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s - 9*s = -s. Which is smaller: s or 1\/49?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5760, -5764, -5768, -5772?\n\"Answer: -4*a - 5756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -f33b (base 16) to base 5\nAnswer: -3443032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*d**3*u**2*x + 3*d**3*x**2 - 200*d**3 - 637*d**2*u**2*x + 7*d**2*x**2 + 2*u**2*x wrt d.\nAnswer: -342*u**2*x + 18*x**2 - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 4, r: 2, g: 10}. What is prob of sequence owr?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1548*i - 3212*i - 13321*i to the form o*i + d and give o.\nAnswer: -18081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 11*u + 2051. Calculate the lowest common multiple of s(28) and 25280.\nAnswer: 176960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5718344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 242174050 to the nearest one hundred thousand.\nAnswer: 242200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let r = -0.3 + 0.1. Suppose 5*x - 5*w = 10, -3*w = 2*w - 5. Sort x, s, r in descending order.\nAnswer: x, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8))\/((-254)\/(-381))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-209*h**3 - 199*h**3 + 376*h**3)*(h - 3*h + h) - 5*h**2 + 3*h**4 - 2*h**2 + 3*h**2 as p*h**3 + q*h + f + y*h**4 + c*h**2 and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 7 = -1. Let c(b) = b**3 + b**2 + 4*b + 3. Calculate c(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620500083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1166634, 1166627, 1166616, 1166601, 1166582, 1166559?\nAnswer: 1166532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -8, -117, 1 in increasing order.\nAnswer: -117, -8, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -160.2, 3, -0.3, 189\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -3. Let o(n) be the second derivative of n**5\/60 + 5*n**4\/24 + n**3\/6 - 73*n**2 + 9*n + 7. Let t(k) be the first derivative of o(k). What is t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**3 - 3*z**2 + 2*z. Let g be (-15)\/(-12) - (-27)\/36. What is the units digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - h - 14, -558*g + h = -550*g - 26 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5*z + 30*i**3 - i**2 + 8*i*z wrt i.\nAnswer: -60*i**2*z + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0 - 2*o**2 + 2\/3*o**3 + 4\/3*o = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026991387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - b**2 + b + 2. Let t be i(-1). What is the least common multiple of t\/9 + 3424\/144 and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 3295 - 3295.2. What is the biggest value in 8\/13, -3\/11, v, -3, 0?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260.746 - 262. Let x = -0.751 - r. Let y = 2.773 - x. What is y rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z - 3*z**2 + 1 - 6 - 4*z**2. Let p(s) be the first derivative of -4\/3*s**3 - 3\/2*s**2 - 3*s + 2. What is 3*m(r) - 5*p(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19712)\/(-924)*3*4\/(24\/(-3))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 884802 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*l - 2 + (-15*l + 36*l + 36*l)*(-2 + 0 + 0) to h + d*l and give d.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -31. Let z(f) be the second derivative of f**5\/20 - f**4\/2 + 7*f**3\/6 - 7*f**2\/2 - 2*f. Determine z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 860033\/88 - 9773. What is the common denominator of -93\/10 and w?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = -4*d, -3*y + 5*d - 1 - 2 = 0. Let l be (8\/(-16) - y\/2)\/(-1). Solve l = -4*x - x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 1. Let i(q) = 4*q**2 + 2. Let l(b) = -i(b) + 2*j(b). Suppose -37*v + 227 + 254 = 0. Let d(m) = -v*m + 42 - 24 + 27*m - 18. Give l(d(u)).\nAnswer: -392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7665 - -11244. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24313443 (base 5) to base 15.\nAnswer: -47dd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k + 12 = 0. What is the units digit of (-300)\/(-16) + k\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*p - 4608. Calculate the common denominator of -2 + 436\/p*3 and -53\/18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)\/((-2)\/8). Let c be 2\/f + (-225)\/(-10). Suppose 5*g - 83 - c = 0. Solve 0 = 3*h + 18 - 3, g = 2*a - 3*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*x + 7760006, 5*j - 2*x - 9880082 = 9519922. What is j rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3099 or 3366?\nAnswer: 3366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1540 divided by -110\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -62613 (b) -1 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(363)*-2)**2 + (-3 + (sqrt(363) - sqrt(363)*-1) + 2)**2.\nAnswer: -264*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365*b**2*f*v - 26*b**2*v**3 + 2*b*f*v + 14393*f*v + 2*v**3 wrt b.\nAnswer: 730*f*v - 52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/(-15) + (-6)\/(-15). Suppose -2*v = -u - w*v - 11, 4*v = 2*u - 28. What is the least common multiple of 1 + -3 - 152\/(-38) and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 5. Let y(t) be the first derivative of -5*t**2 - 12*t + 10. Determine -12*b(c) + 5*y(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6500.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**3\/3 - 9*i**2\/2 - 6*i + 82. What is y(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*g + 15 = 0, b - 2*g + 0*g = 1. Solve -5 = -5*w + b*n, 2*n = 7*n - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 6, -998, 71 in decreasing order.\nAnswer: 71, 6, -11, -998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 7) in base 12?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = 6*h. Suppose h*k + 3*x - 24 = 0, 8 = 2*k - x - 4. Let g be 6 - (-3 + k) - (0 - -3). Solve 2*u + g*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*h - 50 = 0, 3*t + 85 = -2*t - 3*h. Let x = 17 - t. What is the remainder when x is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuujujuu. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/231)\/(24\/56).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (-241 - -221)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*h - 5*m, -8 + 6 = 2*h - 3*m. Let k = 4 + h. Let o be (1\/(-5))\/((-6)\/10). Which is greater: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 108. Suppose d = 8*j - j - 28. Solve 0 = j*l - 2*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (244\/(-10))\/(-2 + 22\/10). Find the common denominator of 56\/33 and (2\/1)\/((-10)\/p*2).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*k + 539 = -35*k. What is the lowest common multiple of 34 and k?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 1, z: 3, u: 4, w: 1}. Give prob of sequence wv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111405.9 > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 5, 30, -13, -2, -1 in descending order.\nAnswer: 110, 30, 5, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(171) - 1*sqrt(171)) + sqrt(171)) - ((sqrt(171) - sqrt(171)*-2*-3) + sqrt(171)))*4)\/(sqrt(9) + 6*(sqrt(9) - 3*sqrt(9)) + sqrt(144)*-2).\nAnswer: -28*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -3*h**8\/56 + 13*h**4\/12 + 7*h**2. Find the second derivative of o(a) wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 142 and -42.\nAnswer: -5964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 6. Suppose 0 = -n*z - 2*b + 21, -5*z = -3*b - b - 3. What is the first derivative of 2 - 1 - 2 - z*t wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -2*l + 6, -w - 3 = -l. Suppose -l*m = -16, 5*s + 11*m + 11 = 15*m. Calculate the smallest common multiple of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*w + 250*w = -418 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*f**2 + 1163*f**2 + 493*f**2.\nAnswer: 1789*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zirrgiizriiirrgrri. Give prob of picking 2 g.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19871 - -19845. Let i(q) = 5*q + 91. Give i(b).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 9. Let a(n) = -n**3 - n**2 + n + 1. Let b(j) = -5*j**3 - 3*j**2 + 2*j + 2. Determine v*b(x) + 3*a(x).\nAnswer: 2*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5 - 3)*-1 - -24 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 + 62793*w**3\/4 + 33527595*w**2\/4 + 5989968827*w\/4 + 89264816196.\nAnswer: (w + 179)**3*(w + 62256)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:27 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9284.07, 0.3, 0.2, -3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 235189?\nAnswer: 235188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -555.231 and 0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -37*x**6\/30 - 35*x**3\/6 + 55*x + 39. Let z(a) be the first derivative of s(a). What is the second derivative of z(t) wrt t?\nAnswer: -444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5750*i**2 + 1926*i**2 + 9430*i**2 - 4371*i**2 to the form z*i**2 + g + q*i and give z.\nAnswer: 12735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 28*k**2 + 28*k + 28. Let l be t(-27). Which is smaller: 1\/5 or l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22962 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36198621 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 96\/54 - (-2)\/9. Let h(n) = 3*n - 2. Let k be h(c). Let w(p) = -p**3 + 5*p**2 - p - 4. Calculate w(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-2\/13)))\/(w*w*w\/(w*w**(-2\/17)*w*w)) assuming w is positive.\nAnswer: w**(-60\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563649918 to the nearest integer?\nAnswer: 23741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -22*a + 28. Let n be 1349\/38 - 3\/a. Solve -l + 32 = n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179816*h**3*p + 856*h**3 + 82160*h**2*p - h**2 - h*p - 95*h + 2*p + 1 wrt h?\nAnswer: -1078896*p + 5136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2. Suppose -4*c - 3 = -3. Let g(v) be the third derivative of 0 - 3*v**2 + 1\/12*v**4 + c*v**3 + 0*v. Give p(g(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 75*q + 129. Give r(37).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {g: 4, j: 3, b: 1, m: 6, u: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 417445 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 445\/4 - 113. Let f = 18 + -19. Let m = -15.9 - -16.4. What is the third smallest value in m, f, 1, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 3412\nAnswer: 68.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-252)\/135 - -6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*z**2\/2 + 28*z = 0 for z.\nAnswer: -56\/493, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 0.3, -1\/8, -183, 1\/3, -5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 75 = 33*o. Let q = -16 + o. Sort 3, 0, q in decreasing order.\nAnswer: 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzidnpnipidnpdpdpz. Give prob of picking 1 i and 2 n.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12756660\/29 less than 439885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11768 and 5884?\nAnswer: 11768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*h - 7, 2*y = 3*h - 0*h. Let t(p) = p**2 - 3. Let b be t(y). Let u = -2312 - -2360. Calculate the greatest common factor of b and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {w: 3, a: 2, h: 1, q: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134786760*d**2 + 12*d**3 + 134786760*d**2.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -v + 65, 0*f - 4*v = 2*f - 44. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 38193182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 46734\/17, -3, 0.06 in ascending order.\nAnswer: -6, -3, 0.06, 46734\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.1 + -228.1. Let f = -214.00178 - n. Round f to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180) + -1*(sqrt(180) - sqrt(180)*-2))**2.\nAnswer: 96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 193*b + 10 + 17*b.\nAnswer: 210*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-38)\/(-19) + 0 + 9*11 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1557057 + -2?\nAnswer: 1557055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4186, 4277, 4360, 4429, 4478, 4501, 4492, 4445?\nAnswer: 4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 24*j**3 - 252*j**2 - 1568*j.\nAnswer: 4*j*(j - 8)*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/664 and -41\/40.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30810487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -18. Let d = 4 + -6. Let n be ((-1)\/2)\/(d\/8). Solve -n*s - 5 = m - 1, -7 = -z*m - s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:42 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-10)\/8*-1)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 13. Let m = b - -4. Let x = 2 + m. Sort x, 0.3, -3.\nAnswer: x, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 + 12 = 0. Let j be b\/(-14)*-14*(-3)\/6. What is the third biggest value in -0.4, j, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9536 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(24) + sqrt(48)\/(sqrt(2)*2))*-6)\/((-2*sqrt(144) - sqrt(144))\/sqrt(3)))**2 + -4)*5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 41 - 48 + b)*(-7 + 39 - 17 + (2 - 4 + 4)*(-1 + 0 + 2) + 1 + 2 - 1).\nAnswer: 57*b - 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3044220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9897?\nAnswer: 3, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 135. What is the remainder when 205 is divided by d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 11*k**2 - 11*k - 2. Let x be z(-10). Let q be (42\/(-6))\/(-7) - (-2 + 7). Find the common denominator of 46 and 122\/q - (-7 + x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*s - 12, -25 = -5*s - 5*l + 2*l. Let i be (1 - 2)*(-133)\/19. Suppose 46 = 13*k + i. Solve -k*p = s*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:39 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 11765760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z + 3\/2*z**4 + 19\/2*z**3 + 19*z**2 + 0 = 0. Calculate z.\nAnswer: -3, -2, -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/24 - x**5\/15 + x**4\/12 + 4*x**3\/3 + 12*x**2 + x. Calculate the remainder when y(-3) is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -0.3, 0.1, 5, 25949\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 15*a - 16. Suppose 2*m = 2*c - 421 - 313, -c + 355 = -a*m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1045 - 668. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 + 442652*l\/5.\nAnswer: 4*l*(l + 110663)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtrartanlalt. What is prob of sequence nv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14813738.\nAnswer: 2, 263, 28163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 116? (a) -4 (b) -0.04 (c) -27 (d) -3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6610928?\nAnswer: 2, 413183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 0.14 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 4. Suppose m + 5 = 8. Determine h(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5342 = -918*o + 95*o + 22640 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-2))\/(21\/(-7)). Let o(l) = -75*l - 1. List the prime factors of o(h).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 14*z**2 + 19*z - 98. Suppose b = -3, -11*u + 5*b + 10 = -12*u. Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s + 13*s - 6*s. Let j(c) = 130*c**2. Give j(b(f)).\nAnswer: 520*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 7*m - 18 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56848666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13050?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 324114983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 472 - 2?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.138 - 0.038. What is the biggest value in -7, -2, t, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1 + q**2 - 3 + 6. Let a(k) = -2*k**2 - 27. Let z(i) = -2*i**2 - 13. Let j(l) = -2*a(l) + 5*z(l). Let f be (-11)\/3*36\/4. Determine f*o(r) - 6*j(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*v**2 + 4440 - 4440.\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(35)\/sqrt(80).\nAnswer: 1 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -78968\nAnswer: -78958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u + 21. Let f(w) = 4*w + 7. Let d(k) = 3*f(k) - s(k). Let m(c) = -37*c**2 + 14*c. Give m(d(n)).\nAnswer: -37*n**2 + 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111 - -11121222?\nAnswer: 11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -37, -50, -45, -16, 43, 138, 275?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**2\/2 + 8*r - 1493. Let o(u) = -u**3 - 4*u**2 + 2. Let f be o(-2). What are the prime factors of l(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*g + 948 = 106*g + 124*g. Factor 128\/7 - 96\/7*m - 2\/7*m**g - 30\/7*m**2.\nAnswer: -2*(m - 1)*(m + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4979 or 4976?\nAnswer: 4979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:28 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 57, 0 in decreasing order.\nAnswer: 57, 0, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 2\/303, -36, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, -5, 1, 6, -43, -3\/2894 in ascending order.\nAnswer: -43, -5, -3\/2894, 0.4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j - 7*j + 7*j**2 + 7*j**2 - 3 to o + z*j**2 + a*j and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.03, 2\/3, -518598, -3 in ascending order.\nAnswer: -518598, -3, -1\/4, 0.03, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 11) to base 2\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2554.912 kilograms to grams.\nAnswer: 2554912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 10*n**2 - 12*n**2.\nAnswer: -22*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 19*a + 7. Let z be b(-19). Let n(j) = j**3 - 3*j**2 - 26*j + 7. Is 2 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 5. Let q be s(-7). Let k be (-18)\/(-3)*(-1)\/q. Suppose w - 4*t = 1, 2*w + 4*t - 24 = -2*w. Solve 2*i + 19 = -5*h + i, -2*h - w = k*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -11*r**6\/30 + r**5\/10 + 7*r**4\/4 + 5*r - 3. What is the third derivative of s(o) wrt o?\nAnswer: -264*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**3\/6 + l. Let h be c(2). Let o = 9 - h. Solve -5*b - o = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -659649713936 + 47.8\nAnswer: -659649713888.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 10. Let r(f) = 3*f**2 + 19. Suppose 3*n + 25 = 5*c, -5*c - 10 = 2*n + 2*n. Let q(y) = c*r(y) + 5*g(y). What are the prime factors of q(-11)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 7*n + 19. Let w be k(8). Suppose -3*i - 4*g - 104 = -85, -g = -5*i - 1. Put w, i, 1, 4 in decreasing order.\nAnswer: w, 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m + 3. Suppose -2*q = 4*c + 11 + 11, 1 = -2*c + q. Let b(k) = -2*k**2 + k - 4. Let f(r) = c*p(r) - 2*b(r). What is f(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:20 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2631000 + -4111?\nAnswer: 2623556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1652 - -290?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 4428.45.\nAnswer: 4427.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.074890562 + -4.165\nAnswer: -4.090109438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 658 + -405. What are the prime factors of q?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 - 5273*o**3 - 78938*o**2 - 357640*o - 504768 = 0. What is o?\nAnswer: -5258, -8, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0661 + 0.066318. What is f rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 11*u**2 + 18*u + 155. What is t(-6)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 43. Give w(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 2, -536, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1.7 (b) -0.4 (c) -2 (d) -464\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-3)\/(-1))\/(6\/4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 228.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*4.65652\nAnswer: 1.862608","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a30d - 61d?\nAnswer: 39be0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 28*i**3 - 510*i**2 + 107*i + 113. Calculate h(18).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyyytttttyyt. What is prob of picking 1 t and 1 y?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 30210*t**2 + 37*t + 38. Is o(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*q + 10, 0*q + q = -3*h + 13. Let m = -56 + 20. Calculate the lowest common multiple of q and ((-16)\/m)\/(2\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4133, -8347, -12559, -16769, -20977?\n\"Answer: r**2 - 4217*r + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(2\/27)*p**2\/p**(-1\/5) assuming p is positive.\nAnswer: p**(277\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -400, -5, 1584 in ascending order.\nAnswer: -400, -5, 1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/60 - g**4\/6 + g**3\/2 - 2*g**2. List the prime factors of q(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/7 + 32*o**4\/7 + 176*o**3\/7 + 384*o**2\/7 + 288*o\/7.\nAnswer: 2*o*(o + 2)**2*(o + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -268, -8 in decreasing order.\nAnswer: 16, -8, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4 + (-4 + 4 + 2)*(-3 + 5 - 4) + 1 - 6 + 1)*((3 - 1 - 3)*(3*l + 4*l - 6*l) + 2*l - 5*l + 0*l)*(2 - 2 + 1).\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.311 - 307.989. Let i = 316 + r. Let f = -0.06 - -0.36. Which is the second biggest value? (a) -4 (b) f (c) 2\/17 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19dd9 (base 14) to base 7.\nAnswer: 362662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 212*b - 1568. Give x(10).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -5*d + 33, -5*s = -3*d - 6*s + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -27 + 28 + -37 + (-12 - -1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**2 - y + 16. What is the hundreds digit of k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11106 - 22?\nAnswer: -11128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e41b (base 16) to base 15.\nAnswer: -12480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77))\/sqrt(11) + sqrt(49)\/(sqrt(14)\/sqrt(2)) + 0.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2493761.5 - -11.\nAnswer: 2493772.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -156, -307, -446, -567, -664, -731?\n\"Answer: o**3 - 158*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761544.\nAnswer: 2, 3, 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 23300013?\nAnswer: 23233333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) + 1*(2 - -3). Calculate the common denominator of 31\/12 and 138\/11*o\/(-9).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(18\/432)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 - u**2 - 6*u + 3. Let d(b) = -13*b**3 - 3*b**2 - 16*b + 8. Let k(w) = -3*d(w) + 8*m(w). Determine k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. What is the smallest value in i, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75\/7 + 396\/35. Let w(l) = l**3 + 5*l**2 - l - 4. Let v be w(-5). Let c = 1 - v. Sort 4\/5, q, c in descending order.\nAnswer: 4\/5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/2)\/y)**6*(y\/(y\/(y\/(y\/(y\/y**(-6\/7)))))*y)\/(y\/(y\/(y\/(y**6*y)))) assuming y is positive.\nAnswer: y**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 5*i**2 + 3*i + 4. Let m(v) = 797*v - 5450. What is the remainder when m(7) is divided by q(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9109 and 9.\nAnswer: 81981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((10 - 14) + 7)*2\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12316038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0 (c) -83 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -177*(-18)\/1188 - (-5 + (-114)\/(-22))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**33*y*y*y)\/y)\/(y\/(y*y**36))*y**(3\/14)*y**(-5\/11)*y assuming y is positive.\nAnswer: y**(11205\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**2 - 59*x**2 - 54*x**2 + 224*x**2 - 60*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*b - 2*f, 52 - 45 = b + 4*f. Find v such that 0 + 3\/2*v**2 + b*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/2)\/m**(2\/11))\/(m\/(m**3*m)*m*m\/m**(-2\/9)*m) assuming m is positive.\nAnswer: m**(-575\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:40 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.2167155, 6\/13, 0.4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/116 and 77\/32.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 + 187. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*n - 38, -60062561*v = 2*n - 60062556*v - 84 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h - 2*h**2)*(-6*h + 3*h + 7*h) - 5*h**3 - h + h in the form q*h**3 + m + y*h**2 + d*h and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-3 - -4))\/(1\/2129) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h. Let v(z) = 2*z - 40*z - 10*z - 3*z. Calculate w(v(o)).\nAnswer: 204*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 4 (c) 0.3 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.8 and -1440.\nAnswer: -1442.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfukfuufumf. Give prob of sequence fm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 3*y + 0*y)*(-5*y**2 + 4*y**2 + 8*y**2) as c + z*y + b*y**2 + f*y**3 and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 32184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 - 38*o**2\/3.\nAnswer: 2*o**2*(o - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16606*d**2 + 12104*d + 72. Let n(x) = 8303*x**2 + 6050*x + 32. Let a(i) = 9*n(i) - 4*z(i). What is the second derivative of a(h) wrt h?\nAnswer: 16606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 56 - 62. Let m(a) = -a**3 + 10*a**2 + 4*a - 16. What is the tens digit of m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10829149 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101094104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 326626696 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580236 is divided by 7595.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-306))\/((-38)\/((-456)\/1)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.11, 0.005, -0.04, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 144, 147, 150, 153, 156?\n\"Answer: 3*m + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -258811.879 + 258938. Let n = -126 + y. Let d = n + -0.1209923. Round d to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -8. Which is the nearest to -0.2? (a) -4 (b) -0.06 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -1\/13 (c) 2\/9 (d) -139 (e) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 269*t + 275*t = 28, -2*c + 8*t - 2*t = -10*t - 12 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 77. Let z(v) = -v**3 + 2*v**2 + 5. Let k be z(3). Let n(w) = w**2 + 3*w - 3. Let r be n(k). Solve -f = -r - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 341604 and 63260?\nAnswer: 1708020","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2) + 1 + 65. Let z = -35 + u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -143. Calculate the remainder when z is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -20) - (-7 + (2 - -5))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 (base 6) in base 5?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -67.90408925159.\nAnswer: -90.90408925159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114636478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -9*a**7\/35 + 7*a**6\/24 - 211*a**5\/30 - 4*a**2 + 88*a. Find the third derivative of o(w) wrt w.\nAnswer: -1296*w + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*z - 380 = -0*u, -3*u + 4*z = -229. Let x = 132 - u. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 52198.7\nAnswer: -52198.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g + 23582*g**4 + 81*g**2 - g - 23586*g**4 + (2 + g**4 - 2)*(-2 + 3 - 2) + 0*g + 3*g**4 + 0*g to z*g**2 + c*g**4 + i + m*g**3 + n*g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from uuuurur?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2. Suppose -l - 11 = 4*t + 3, 3*t + 16 = 2*l. Let r(i) = -2*i**2 - i**2 + i**l. Determine z(r(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6060 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: Which is the third smallest value? (a) -1 (b) 1255 (c) -0.1 (d) -1\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20968201 to the nearest one hundred thousand.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9423402382 minus -7778?\nAnswer: 9423410160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 483*g**2\/2 + 58563*g - 116162.\nAnswer: (g - 482)**2*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2\/9)*s\/s**(-12)*s**(-10)\/(s\/s**(-2\/3)) assuming s is positive.\nAnswer: s**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1647)\/(-6588))\/(12\/10*2\/8). Which is the closest to -7? (a) 0.2 (b) l (c) 2.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 1\/144*z**4 + 0*z**3 - 1\/360*z**5 + 0*z + 0 - 14*z**2. Solve w(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffzzfzzzf. Give prob of sequence ffff.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h**2)\/(h**2\/((h\/(h\/((h\/h**4)\/h)))\/h))*(h**(2\/3)\/h*h)**(-42)*h**(-5)*h\/(h*h**4) assuming h is positive.\nAnswer: h**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = -2*j - 3, -2*b + 3*j = -22. Let n be (0 - 2)\/(b + 44\/(-8)). Suppose 4*i - 8 - n = 0. Solve 5*o - 25 = 3*p + 2*p, -o + 9 = -i*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -11\/4, 0.2?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3\/11 + 126*q**2\/11 + 1092*q\/11 + 1696\/11 = 0?\nAnswer: -53, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1381 - 705. Suppose 3*l - 5*l + j = 0. Suppose 9*z + l = 11*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -11, -30, -57, -92?\n\"Answer: -4*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 790265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83312 (base 10) in base 6?\nAnswer: 1441412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95207251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6786 divided by -117.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9732.08593 + -9732. What is t rounded to three dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkjuu. What is prob of picking 1 k and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 p, and 1 i when four letters picked without replacement from {m: 2, i: 3, p: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 435862, 435796, 435686, 435532?\n\"Answer: -22*a**2 + 435884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 - 6) - 9 - (5 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)*(-17 + -5 + 3). Let x be (g - -17)*(-7 - -3). Solve -x*b = -18*b + 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5 = -l. Let p(d) = -38*d**3 - 2*d - 4. Let x(u) = 38*u**3 + 2*u + 5. Let h(q) = 4*p(q) + 3*x(q). Is h(l) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88059 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/150 and -151\/210450.\nAnswer: 210450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/748 and 101\/3876?\nAnswer: 42636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 2 - m - 7*m + 3. Let r be p(1). Let t = 1 - r. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 a factor of 700842953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*0\/(5 + -3). Suppose 6*b**2 + 0 - 75\/2*b**4 + q*b**3 + 0*b = 0. What is b?\nAnswer: -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 6*d - 13. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010111111100 + 1?\nAnswer: -10010010111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -218 - -224. Solve 0*t = 2*t + c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(63\/(-207))\/(-7)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Let b be (-96)\/1344 + 95\/1918. Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 10:30 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 263*t**2 - 134*t**2 - 5*t - 130*t**2 + 81 wrt t?\nAnswer: -2*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*j + 8, u = -2*u + 2*j - 10. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h - 218*h - 2878 + 739 = 813 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**9\/3024 - c**8\/1680 + c**3\/3 - c**2. Let q(o) be the first derivative of m(o). Factor q(g).\nAnswer: g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676235.2 rounded to the nearest one hundred?\nAnswer: 1676200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 99 - 83. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 142710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 78 = -12. Let c be 42\/(-63) + 94\/n - -4. What is the third smallest value in -1\/7, 3, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n\/(n**(-2\/17)*n)))**(26\/7)\/(n**(1\/5)\/(n\/n**6)*n**3\/((n\/(n*n\/n**5))\/n)) assuming n is positive.\nAnswer: n**(-3354\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 21*n + 3*w + 6 = -7, -3*n - 4*w - 19 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/(-4*8\/192).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 38, 2\/19, 1\/2, 1, 3\/5, 0.4?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**4\/7 - 330*t**3\/7 + 5127*t**2\/7 + 780*t = 0.\nAnswer: -1, 0, 20, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/709716 and 23\/1974.\nAnswer: 33356652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcf when three letters picked without replacement from {c: 1, x: 1, f: 1, g: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -823 (base 11) to base 12.\nAnswer: -6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76242 and 84102.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -344 + 344.668. Round r to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 217 - 1?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 352 - 352.05. Which is the biggest value? (a) -1 (b) m (c) 2 (d) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 4. Let c be i(3). Suppose 6*z + 5*z - 1155 = 0. Suppose 5*g - 10*l = -5*l - z, -l = 2*g + 27. Is c != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 156 = 24. Find the common denominator of (-214)\/v + (-50)\/(-150) and -29\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - c**3 - c**3 + (c - 1 + 1)*(c**2 + 3*c - 3*c) + c**2 - c**2 - c**3 - 820*c**3 - 638443 + 638443.\nAnswer: -819*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:47 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 5*j + 21. Suppose 4*g + 2*f + 133 + 8257 = 0, -8385 = 4*g + j*f. What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27 < -5.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57151, -57142, -57127, -57106, -57079?\n\"Answer: 3*n**2 - 57154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 51531 in descending order.\nAnswer: 51531, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/475 and -23\/95100.\nAnswer: 1806900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -703, -1383, -2063, -2743?\n\"Answer: -680*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1601 and -38334.\nAnswer: 61372734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 999, 996, 991, 984?\n\"Answer: -x**2 + 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 117 + 117.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5572899 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 - c - 1. Let k = -41 + 36. Let o be q(k). Suppose -12 = -o*p - 4. Solve -3*v + v = -p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.18 (b) 2 (c) 3\/65 (d) -0.4 (e) 248\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 14, e: 5}. Give prob of picking 1 e and 3 z.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:24 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/5, 25, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m - 3. Let f(a) = -22*a + 5. Let k = 3 - 0. Let y(z) = k*f(z) + 5*q(z). Let j(t) be the first derivative of t**3\/3 + 11. Determine y(j(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 + 68 - -149 - 18?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 98*s**6\/33 + 14*s**5\/55 - 69*s**4\/22 - 64*s**3\/33 - 4*s**2\/11 + 7. Suppose x(o) = 0. What is o?\nAnswer: -1\/2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 516450, 1032904, 1549362, 2065824, 2582290, 3098760?\n\"Answer: 2*c**2 + 516448*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 27) + (0 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 + 8*a**2 - 17*a - 12. Let h(j) = 5*j**3 - 16*j**2 + 35*j + 23. Let b(k) = -7*d(k) - 4*h(k). Let n be b(-10). Solve -n*g + 5 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 3, h: 7, m: 3, t: 3}. What is prob of picking 2 d?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/1 - (-2 - -3). Let k = s + 0. Suppose -k*n = d, -5*d + 0*d - 2*n = -18. Sort d, -4, 2 in descending order.\nAnswer: d, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 1.77. Let c = -0.13 - x. What is the nearest to c in 2\/3, -6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqqh when four letters picked without replacement from {z: 2, t: 1, h: 2, v: 3, q: 2, i: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sascccs. What is prob of sequence sc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.529135 to two decimal places.\nAnswer: 3.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb (base 15) to base 9.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 366651 + 16123*g - 733302 + 366650 as f + r*g and give r.\nAnswer: 16123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7))**49\/(m**17\/m**(-1\/10)) assuming m is positive.\nAnswer: m**(-3601\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.5. Let k = -0.57 - -1.37. Which is the smallest value? (a) l (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d - 258*d = -61*d + 580 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 1211ba9?\nAnswer: -1211bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2\/5, 0, 8\/7, 2, 3.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Let x be (3 - (3 - 2)) + j. Let c be (1 - 1) + -1 + x. What is the smallest value in -0.3, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 771342 and 1674?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10800, 7935, 5064, 2187, -696, -3585?\n\"Answer: -3*v**2 - 2856*v + 13659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-8)*76\/(-6). What is the highest common factor of 171 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75002 + -51002. Suppose 0 = 11*b - 15*b - c. What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 1. Let d be 10\/(-2) + (-1038)\/(-6). Suppose 6*c - 126 = -d. Let n(s) = -12*s + 2. Give c*h(p) + 4*n(p).\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -18220607.4 to the nearest ten thousand.\nAnswer: -18220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 5*x + 0*x)*(1 - 2*x - 1 + (-16 - 1 + 94)*(-3*x + 6*x - 2*x)) to u*x**2 + z*x + k and give u.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -906, -3606, -8106, -14406?\n\"Answer: -900*z**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9536 + -6791. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, -3, 51, 0.1, 8.978?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 4796\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(352) + sqrt(352)*-2*-1)\/((1*sqrt(132))\/sqrt(12) - sqrt(44)\/(sqrt(4) + sqrt(16))).\nAnswer: 1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*g - 1, -2*u - g - 1 = 2*g. Put 0, u, 3 in increasing order.\nAnswer: 0, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6054 (base 10) to base 4\nAnswer: 1132212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 605 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 13*l**2 - 15*l - 15. Let p be i(-14). Which is greater: 4\/155 or p?\nAnswer: 4\/155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -1113, -2538, -4533, -7098, -10233, -13938?\nAnswer: -18213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 greater than 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*c**3*h**3 + c**3 + c**2*h**5 - h**2 + 4*h wrt h.\nAnswer: 114*c**3 + 60*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*m*p**3 + 232*j**3*p**2 + 23*m**4*p - 3*m*p**3 + p**3 wrt m.\nAnswer: j**3*p**3 + 92*m**3*p - 3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2843, 18, -0.8, 5, 2\/5.\nAnswer: -0.8, 2\/5, 5, 18, 2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 2 - 2*s**3 - 3*s + s**4 + 4*s - 1 to t*s**2 + l + a*s**3 + x*s**4 + i*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105695 is divided by 658?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/l*(l*l*l**6)\/l)**(-2\/19) assuming l is positive.\nAnswer: l**(-26\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d - 4 + 20 - 2 + d**2 - 7. Give h(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 294231?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 69*g + 3936. Let d be f(-106). Let r be 1 - (-5 + 2) - 2. Solve 6*l - r*l + 3 = -3*b, -4*b - 2*l - d = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 654, 3\/5, -4, 1, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6130247371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 4. Determine z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9953 divided by 16432?\nAnswer: -9953\/16432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7273\/35 + (-12)\/15 - 9 is divided by 59.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9162 and -763.\nAnswer: 6990606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 2649*m**2 - 1315899*m - 613345365.\nAnswer: -(m - 1467)**2*(m + 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2874 = 5*y + 2002, -3*u - 5*y = -7314. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1726*c**3 + 1727*c**3 - 3451*c**3 - 58*c**2 - 135 wrt c.\nAnswer: 6*c**2 - 116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -91198, -91126, -90992, -90790, -90514, -90158?\n\"Answer: q**3 + 25*q**2 - 10*q - 91214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -369726*-1.12\nAnswer: 414093.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 1, -1\/2, -11161.28 in increasing order.\nAnswer: -11161.28, -3, -1\/2, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 78. Let t = z + -45. Solve t*k - 26 = 4*o + o, 2*k + o = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015046080?\nAnswer: 2, 5, 3172019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -1. Let z = -142.702 - -145.7. Let a = b + z. What is a rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 138899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -43?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*f*h + 8*d*f + 1552518*d*h**2 + 297*d + f + 759 wrt h.\nAnswer: d*f + 3105036*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c + 2. Let w(t) = 7*t + 3. Let r(i) = -7*i - 4. Let g(k) = -2*r(k) - 3*w(k). Let s be (-26)\/3*1\/(-2) + (-3004)\/2253. Give s*h(b) + 5*g(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s**(3\/4)))\/s)**(-1\/77)\/(s*s\/(s\/s**(2\/5))*s)**(-24))**36 assuming s is positive.\nAnswer: s**(798471\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4060\/18473*(-210)\/75.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 - 65*r**3 + 81*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1450 - 1445. Which is the third smallest value? (a) z (b) -7 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from {h: 1, r: 9, q: 7, y: 1, p: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 1, y: 1, j: 7, u: 4, e: 2}. Give prob of picking 1 y and 1 u.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 18*u - 17. Let l be v(-17). Let r be l - 2 - (-324)\/198. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11181977 less than -11181977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, f: 8, x: 1, l: 1, s: 1}. What is prob of sequence vfvf?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -14) + -4 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 21. Let w be (-112)\/84*(-9)\/2. Solve g = 4*f - w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.89 + -0.11. Let d = -7.3 - n. Is d != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(1700) + 1 - sqrt(1700) - (sqrt(1700) + 0 + -3) - (5 + sqrt(1700) + 1)*2)**2.\nAnswer: 1680*sqrt(17) + 61396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 209*b + 10567. Determine r(110).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 + i**2 + 12*i - 13. Determine h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k + 4. Suppose 38 = -0*g + 3*g + k*w, 0 = w + 1. What is the lowest common multiple of 8 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**2*u**2 - 33*q**2*u + 490*q**2 + 14*q*u**2 + 2*q*u + 222*u**2 wrt u?\nAnswer: -8*q**2 + 28*q + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50fbdd (base 16) in base 2?\nAnswer: 10100001111101111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.05 (b) 1\/6 (c) 3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*z - z - 13, 7 = -2*m - z. Let p be 0 + m - -7 - 2. Let u be 80\/((8\/p)\/4). Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 156*m - 148. Let d be w(51). Suppose 8\/5*h**4 + 8\/5*h**2 + 12\/5*h**3 + 0 + 2\/5*h**d + 2\/5*h = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 15*g - 29. Suppose r - 12 - 5 = 0. Let o be p(r). Solve 9 = -o*t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275786\/3 + -91925. Factor 1\/3*m**2 + 6 - u*m.\nAnswer: (m - 9)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 18.8. Let j = 1.5 + 1. Let o = -2 + j. Put o, q, 0.3 in increasing order.\nAnswer: q, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -4, 17, 0.2.\nAnswer: -4, 1\/9, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 + 3*y + 19. Let m(v) = 4*v**2 - 2*v - 19. Let x(l) = 3*d(l) + 4*m(l). Suppose 50*w - 73*w = -161. What is the tens digit of x(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**3\/r)\/r*r)*r*r*r\/r**3)\/(((r*r*r*(r**(1\/16)*r)\/r*r*r)\/r)\/((r*r**(-1\/5)\/r)\/r)) assuming r is positive.\nAnswer: r**(-501\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18305235 is divided by 202.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*s**2 + 570*s**2 - 40*s - 1700*s**2 + 19*s + 565*s**2.\nAnswer: -2*s**2 - 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 187 (base 11) to base 15\nAnswer: e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 38. Let w = 18 + t. Suppose -166 = -5*m + w*m. What are the prime factors of m?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9588 is divided by 1598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9993132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.943 + -0.057. Let f be 2\/(-1*2)*0. Which is the nearest to f? (a) -3 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 3\/8 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-2)*-2473)\/(4\/2066). Let f = 61348747\/12 + s. Let b = -6369\/2 + f. Calculate the common denominator of -68\/33 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20\/9*j**5 + 0*j + 0 - 8\/9*j**4 + 20\/9*j**3 + 8\/9*j**2 = 0. Calculate j.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**5 - 12999625*i**3 + 260129755*i wrt i.\nAnswer: 120*i**3 - 77997750*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -3 + 8 + 0. Suppose -h + 1 = -2*n - 9, m*h = -4*n - 12. Let x be h\/(3 - 4) + 2. Let a(l) = -l**2 - 5. Calculate a(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -52, -58, -62, -64?\n\"Answer: a**2 - 9*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(82*z**4 - 93*z**4 - 2 - 601*z + 619*z)*(3 - 1 - 1).\nAnswer: 22*z**4 - 36*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 6, g: 1, x: 8}. What is prob of picking 1 h, 1 x, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-3 - 2*-2). Let x be (12 - (-3 + 2))*y. Suppose -5*i + x + 7 = 0. Solve l - i = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 + 4288\/9. Let k = 89 + -179\/2. What is the third smallest value in x, 0.07, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -272, -579, -1004, -1535, -2160?\n\"Answer: 2*y**3 - 77*y**2 + 40*y - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209338226*w**2 - 2*w - 6168483?\nAnswer: 418676452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42613741?\nAnswer: 42613741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1762 and 686.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p**(-1\/3)\/p)))**(-36)\/(p**(-7)\/p**(2\/7)))\/((p*p*p**(-7\/5))\/p**(4\/7)*(p**1\/p)**23) assuming p is positive.\nAnswer: p**(3194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2812177\/1704 + 4951\/3. Let z = k + 731\/3976. Calculate the common denominator of -15\/32 and z.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -222, -354, -648, -1164, -1962, -3102?\n\"Answer: -10*i**3 - 21*i**2 + i - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3103 + -112202?\nAnswer: -121311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -1010 + 275. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280971013 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166931974 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Let i = 7.808 + -0.008. Let g = 2.8 - i. What is the nearest to -0.1 in g, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -25*t**3 - 2*t**2 + 60*t + 121. What is the hundreds digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.57 (c) 2 (d) -121\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 n when three letters picked without replacement from {s: 2, n: 3, m: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2072897.2 to the nearest 10000.\nAnswer: 2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 20*z**2 + 10*z - 20. Let q be g(19). Let d = q - 353. Suppose 0*r - 174 = -5*r + w, 0 = 5*r + 3*w - d. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 12, 2*h = 3*b - 269 + 258 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 16*i**2 + 15*i + 1. Let v(b) = -8*b**2 - 8*b - 1. Let m(y) = 4*o(y) + 7*v(y). Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/416)\/((-12)\/(-26)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -4431.\nAnswer: 8\/4431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1098\/(-24))\/(84*(-84)\/(-18816))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:38 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 + -1*(-6)\/(-2). Let u be (-4 + 138\/30)\/(36\/(-40)). Which is the closest to u? (a) 0.3 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzrzfzzzfz. Give prob of sequence rrzr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 + -1.19. Which is the third smallest value? (a) -0.2 (b) -2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2\/11 (c) -0.7 (d) 2\/3 (e) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2. Let y(u) be the first derivative of -u**2\/2 + 22. Calculate l(y(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -7*b + 2*b. Calculate the remainder when b is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -7016\/867?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3983*k - 41649 = -2443*k + 2727*k + 5288 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 192552 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-420))\/(24*1\/(-14))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/12159 or -1?\nAnswer: -2\/12159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:21 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x - 2. Let f(u) = -1089835 + 1089835 + 62*u. Calculate f(b(r)).\nAnswer: 372*r - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 7. Let s be h(-10). Let z be (s - 16\/6)*12. Suppose -z*o = -4*w + 20, 4*w + w = -2*o + 46. What is the smallest common multiple of 27 and w?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/a*a)\/a**(-1\/4)*a\/(a\/(a**5\/a))*a**(-2)*((a\/(a*a*a*(a\/(a*a\/(a\/(a*a*a**3))))\/a*a))\/(a\/a**(1\/4)))**(2\/23) assuming a is positive.\nAnswer: a**(409\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - l + 2. Let n(j) = -2*j**5 + 11*j**4 - 11*j**3 - 12*j**2 + 8*j + 6. Let b(w) = -2*n(w) + 10*r(w). Let b(y) = 0. What is y?\nAnswer: -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -7\/2*y**2 + 5*y + 11\/20*y**5 + 0*y**3 + 1\/12*y**4 + 7. Let k(g) = -10*g**3 - g**2 + 6. Determine 6*i(m) + 7*k(m).\nAnswer: -4*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = 2*s - q, 0 = 5*q. Suppose 0 = s*d - 5*d + 21. Let o(y) = 6*y**2 + 2*y + 1. Let j be o(-3). Calculate the greatest common factor of d and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 7, v: 3, z: 1, d: 1}. Give prob of sequence kd.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d + 775597*d**2 + 9*d**4 - 775597*d**2 - d**3 - 1 as y + g*d**4 + x*d**2 + o*d**3 + p*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7530903 divided by 9\nAnswer: -836767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 - 56*q**2\/9 + 392*q\/9.\nAnswer: 2*q*(q - 14)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -52327, -104602, -156855, -209086?\n\"Answer: 11*i**2 - 52308*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -20, 0*b = -a - 4*b - 15. Let c(n) be the first derivative of -3\/4*n**4 + 0*n**3 + 0*n - a + n**2. What is the second derivative of c(l) wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41809 by 6.\nAnswer: 41809\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:26 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41895 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -27, -11, 11?\n\"Answer: 3*b**2 + b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1)**(-6\/7) assuming b is positive.\nAnswer: b**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-14) - (-1700)\/476. Let d be (-2*(1 - -1))\/(-2). Solve -b + 2 = o, -d*q + 4*o = 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**2 + 3006732 - 3006732.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*v**3 - 51*v**3 - 71*v**3.\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/268315 and 121\/160.\nAnswer: 8586080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + sqrt(176) + (sqrt(176) - 5*sqrt(176)) + 1 + sqrt(176) + -1 + -5.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11951, 2\/19, -1666 in decreasing order.\nAnswer: 11951, 2\/19, -1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 17*q - 1620. Let o be (-12)\/9*q\/9. Is 503\/4 - 60\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g + 6. Let k be t(0). Suppose 0 = p - u - k, -10 = u + u. Suppose r - 2 = -0. Is p > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*s - 679 = -100. Put 0, s, 2, -14, -3 in descending order.\nAnswer: s, 2, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * 1.72894.\nAnswer: 89.90488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.3371017 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let v = 29 + -31. Which is the closest to -0.5? (a) g (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 436 and 796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024765 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -8. Let u be (-918)\/d*(-2)\/(-336). Let z = u + -5\/16. Is 0 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81a1 (base 15) to base 8\nAnswer: 65360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - 15471317*y**2 + 5*y.\nAnswer: -15471317*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let w(v) = -v**2 + 4*v - 12. Let h(n) = g(n) - w(n). Calculate the remainder when h(5) is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186344287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36270 divided by -6.\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11008050 - 0?\nAnswer: -11008050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:53 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 48*q**2 - 2*q + 3. Let z(c) = 48*c**2 - 3*c + 2. Let l(k) = -5*y(k) + 4*z(k). What is the second derivative of l(j) wrt j?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57\/3155771 or -1?\nAnswer: -57\/3155771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 5*j - 4*j, -8*j = 5*q - 50. Solve 0 = -2*d - q*d - 4*u - 28, -7 = -3*d + 4*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/15))\/((w\/(w**(-18)\/w))\/w))**(2\/45))**(-5\/9) assuming w is positive.\nAnswer: w**(536\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3071895 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 33 + 16 - 7)*(-4*k + 6*k - 5*k).\nAnswer: 210*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 124469 in ascending order.\nAnswer: -13, 3, 124469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + o**2 - 7*o - 18. Let g be q(-6). List the prime factors of (0 - g\/3)*(-7)\/28.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 765 - 34*k + 13*k - 765 + 12*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccbb. What is prob of picking 2 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (374*q + 5726 - 5726 - 2*q**2)*(21 - 21 + 29*q).\nAnswer: -58*q**3 + 10846*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 18, 2\/243, -4, 0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = -11. What is the common denominator of 53\/20 and 9\/14*(-1 + g)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4231*y - 14194. What is the tens digit of n(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -19. Let v be (-12)\/4 - (-5*2 + i). Suppose -v*t + 111 = -3. Calculate the highest common divisor of t and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*p - 46 = -9*p, -4*p = i - 33. Solve 0 = -7*r + 4 + i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/208800 and 127\/143550.\nAnswer: 2296800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((4\/12)\/1). Let m(j) be the first derivative of 2\/9*j**b + 2 + 0*j + 1\/3*j**2. Factor m(l).\nAnswer: 2*l*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 4*m**2 - 35*m - 1. Let w be (-9 - 170\/(-20))\/(2\/32). What is the tens digit of j(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -333*i - 6671. Determine s(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 + 219.152. Let i = 8 - 7.25. Let h = q + i. Round h to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {y: 5, m: 4, b: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - t - 4*t)*(-2*t + 0 + 0)*(-70*t + 132*t - 84*t**2 + 11 - 61*t) to the form f*t**3 + n*t + b*t**4 + w + g*t**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t - 2. Let q(d) be the third derivative of -d**6\/8 - 11*d**4\/8 + 11*d**3\/2 + 7*d**2. Calculate 33*g(a) + 2*q(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -40. Suppose 2*t - 7*t + 5*v - x = 0, -2*t = 4*v + 4. Let i(f) = 2*f + 8. What is i(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 7, m: 1, s: 2}. What is prob of sequence zvs?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/2 + 21*b. Give g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 1, j: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 6744911.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + 14\/(-6). Let f be ((-1)\/g)\/((-3)\/12). What is the smallest value in f, -2\/5, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/2 + 93\/10. Suppose -f = -d - 4*f - 4, -5*f - 8 = d. What is the nearest to 2 in 5, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 48\/71?\nAnswer: 48\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*b**3*f**2 - 9*b**3 - 8*b**2*f**3 + 1354 wrt f.\nAnswer: -58*b**3*f - 24*b**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 32*x**3 + 55*x**3 - 248*x - 4 - 74*x**3 - x**2 - 3 wrt x?\nAnswer: 78*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48684359333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 - 1 = -f, -4*r + 5 = f. Let i be -1*f\/(-2)*0. Suppose a + i*a - 218 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.00065 - 7. Round a to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4\/5 (b) -0.2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 6. Is 12 a factor of (t\/3 + 4)*69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*y = 251*y - 6. Let d be (-10)\/30 + y\/(27\/(-129)). What is the greatest common factor of 322 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 1 + 231*o**3 + 1495*o**3 - 1718*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -11 + 32. Let v(p) = -2*p - 7*p + k*p. Let d(j) = -2*j. Determine d(v(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:49 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104524 is divided by 157706.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -749, -983, -1177, -1307, -1349?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 99 - (652 + -604)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 640, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497 + 357*c**2 + 497 - 205*c**2 - 82*c**2 - 75*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/91)\/((-132)\/(-84))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -4*u. Let c(t) = -t**3 + 7*t**2 - 10*t + 4. Let w be c(5). Let j be (w + -5)\/(18\/(-8) + 2). Calculate the greatest common divisor of j and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/15)\/((-4)\/10). Let a = -1 - -1. Let i = h - a. Solve -i*d + 20 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4701*f + 77332 - 387598 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1033221 (base 7) to base 10\nAnswer: -125994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3935051 is divided by 342.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = 4*h + 10*h, 3*h = 4*a - 1 + 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5033360?\nAnswer: 2, 5, 17, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**2\/2 - 5*g - 8. What is c(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575463.\nAnswer: 3, 7, 67, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/31944 and -17\/5016?\nAnswer: 606936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4*z - 44*p**3 + 120*p**2*z**2 - 50*p*z**2 - 2046*p wrt p?\nAnswer: -12*p**2*z - 264*p + 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-301)\/28*1 + 7 + 2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.231 (b) 1\/148 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 7*t**2 - 8*t - 2. Let p be x(-8). Let k be p\/1*(87 - -2). Let y = -95 - k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/5795659 and 67\/3.\nAnswer: 17386977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 3*d**2 + 0*d**2 + (0 - d + 0)*(-2*d - 2 + 2) + 3266 + 0*d - 2*d**2 - 3445 + 2*d.\nAnswer: d**2 + 2*d - 179","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -136\/3 + 46. Sort -3\/8, 2, c in decreasing order.\nAnswer: 2, c, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7797236?\nAnswer: 2, 1949309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 3)\/(3 - 1). Suppose -2*v = 3*v + 10. Put -3, u, v in ascending order.\nAnswer: -3, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 40. Give w(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i = -9*i + 502 - 180 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3366)\/54 + (-168)\/(-3).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -176, -323, -470, -617?\n\"Answer: -147*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 358 - 219. Suppose -v + 589 = 3*c. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50a45 (base 11) to base 13.\nAnswer: -27b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - t + 55 = 0, 0*y + 2*t = 2*y - 30. Suppose -16 - y = 5*p. Let j(r) = r**2 + 4*r - 4. Give j(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 7*f**2 - 5 - 2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4.5 (b) -24 (c) 7 (d) -29 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.7, -6.\nAnswer: -6, -1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1858\/7 + 265. Put -4, n, 2\/7 in decreasing order.\nAnswer: 2\/7, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -3 (b) -8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174408135 to the nearest integer?\nAnswer: 13206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -0.85, -0.05, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 7*q**2 - 8*q - 5. Calculate the smallest common multiple of (-23)\/(-5) + (-4)\/(-10) and o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -28*g + 91. Calculate the least common multiple of 16 and n(3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 9. Let b be g(13). Suppose -28 = -5*h + b. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {c: 6, i: 3, x: 1, e: 4, d: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 - (1 + (-4)\/2). Let h = 10 - b. Let q = 550 - 558. Is h smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z + 27. Let s(y) = 3*y + 9. Determine -4*q(d) + 14*s(d).\nAnswer: -2*d + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - -16 - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1766, -40, -10, -1 in descending order.\nAnswer: -1, -10, -40, -1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 t when four letters picked without replacement from {t: 2, a: 10, r: 7, m: 1}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2*g - d, -2*g - 2*d = -34 + 100. Which is smaller: -37 or g?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16422 divided by 51?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from aapjajapapiai.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 26*q**5\/7 - 48*q**4\/7 - 1672*q**3\/7 - 204*q**2\/7 + 1646*q\/7 + 36 = 0.\nAnswer: -7, -1, -2\/13, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1235604758 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 36*t**2 - 24*t - 54. Is 18 a factor of v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.5 (c) 6 (d) -4 (e) -183 (f) 1 (g) 6\/613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/31, -2\/9, 0.9, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 955728.9 rounded to the nearest 10000?\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a factor of 3533606439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * -3\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - k + k + 0. Let g(h) be the third derivative of h**8\/20160 - h**5\/60 - 7*h**3\/2 - 37*h**2. Let l(s) be the third derivative of g(s). Give l(n(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 78.6239 meters?\nAnswer: 78623900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y**3 - 1486*y + 596*y + 887*y.\nAnswer: -41*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(7))*-4 - (-2 + sqrt(112) + -3)**2.\nAnswer: -105 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/7*-1*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 28*z**5 - 88*z**4\/3 - 88*z**3\/3 + 32*z**2 + 4*z\/3 - 8\/3 = 0.\nAnswer: -1, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaax when four letters picked without replacement from xxaxakaka?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/((-2)\/(-5)). Let q = 5 + i. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.81394 years to decades.\nAnswer: 9.181394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, 0, -2, -20, -60?\n\"Answer: -b**3 + b**2 + 12*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -4 (c) -1\/7 (d) 7\/6 (e) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 12, 2 in decreasing order.\nAnswer: 45, 12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*w + 775 - 195, -705 = -5*v - w. Suppose 2*h - v = h. Let x = h + -275\/2. Which is the third biggest value? (a) -3 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104571262 + -3?\nAnswer: -104571265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 250 = -2. Which is smaller: 19 or k?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 - -126. Let t = 723 - 1433\/2. What is the nearest to d in -4, 1\/4, t, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.89 + 0.11. Let i = b + -6.9994. What is i rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2991000832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510072111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 + 6*s**4 - 4*s**3)*(-2 - 3 + 3)*(-s + 2*s + 0*s)*((-1 - 1 - 2)*(-11 - 4 - 5) - 1 - 4 + 3).\nAnswer: -936*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -620*n + 621*n - 2433. What are the prime factors of n?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1013*x + 53. Is y(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10657524*q**2*r**3 - q**2*r**2 + 3718135*q**2*r + 4*r wrt r?\nAnswer: -63945144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5106 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*v**2 - 3*v + 18?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -4*(sqrt(162)*1)**2.\nAnswer: -648 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Suppose g + n = 8. Suppose 4*s - 1 - g = 0. Sort s, -3, 0 in decreasing order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfk when three letters picked without replacement from {x: 2, f: 2, k: 8, z: 1}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4100 by -25.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6288713*b**2*j*w**4 + b**2*j*w**3 + 93*b**2*j*w**2 - 46*b**2*j*w - 2*b**2*w - b**2 + 2*j - w**2 wrt w.\nAnswer: -150929112*b**2*j*w + 6*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 121117688 divided by 4\nAnswer: 30279422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010011110111001011 + 11?\nAnswer: -1000010011110111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -200020001?\nAnswer: -200020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.0029 (b) -2 (c) 0.064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3 - 53. Suppose -3*s + n = -s. Suppose -s*v + 142 = 57. Round v to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(11) + 4 + 3 + sqrt(11) + 2 + (sqrt(11)*-3 + 4 + sqrt(11) - sqrt(110)\/(1*sqrt(10))).\nAnswer: -5*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -65*k**8\/21 + k**5\/30 + 349*k**4\/24 - 2*k**2 + 260. Find the third derivative of p(f) wrt f.\nAnswer: -62400*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11. Let w(g) = g**2 - 65. What is -34*t(p) + 6*w(p)?\nAnswer: 6*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3213 (base 9) in base 10?\nAnswer: -2361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1725*g - 867*g - 858*g + 11*g**2 + 16 + 79*g**2. Let y(i) = -30*i**2 - 5. What is -5*f(c) - 16*y(c)?\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2, 1, 3\/74, 1\/4 in increasing order.\nAnswer: -4, -2, -1, 3\/74, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*k - 5*w, 3*w + 77 = -5*k + 4*w. Let o be (k*(-122)\/9)\/(6\/9). Find the second derivative of o*f**3 + 0*f**2 - f**2 - 323*f**3 + 29*f wrt f.\nAnswer: -108*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1840, -1852, -1866, -1882, -1900?\n\"Answer: -n**2 - 9*n - 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1085 and 1304387?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/58 + 728\/377. Suppose 0 = 2*r + 3*r. Suppose s*q - 5*q + 204 = r. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 11 = 2*j, -5*j + 3*i - 20 = 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/201 and 11\/5.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -25*j + 1. Let l be ((-32)\/400)\/((-8)\/100). Let d(z) = -z. Give l*w(p) - d(p).\nAnswer: -24*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 5*h)*(-5*h + 3 - 1 + 3*h).\nAnswer: -4*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -15 + -31 + 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2680 and 11128968.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271289 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2300498\/11 + 208948. Which is the closest to l? (a) 0.1 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140 - 70 + 27)*(3*z + 2*z + 13*z).\nAnswer: 1746*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340014 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let j(c) = 10*c**2 + 108*c - 1. Determine j(z(n)).\nAnswer: 10*n**4 + 108*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 20 (c) 2\/3 (d) -5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sktkqtkkskts. Give prob of picking 1 k and 1 t.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2240)*2)\/sqrt(7) - (0 + sqrt(320) + 2 + -2).\nAnswer: -104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25688735 divided by 9.\nAnswer: -25688735\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 400, -4476, -2, 1 in decreasing order.\nAnswer: 400, 1, -2, -4476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/115440 and -61\/108225.\nAnswer: 1731600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/((-2)\/1))\/(35\/(-70)*-8).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12457 is divided by 832.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 29. Suppose 3*w + 208 = z, z - 5*w + 84 - 290 = h. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*c - 3 + 3)*(-3*c**4 + 4*c**4 + 3*c**4).\nAnswer: -12*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from iakya.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 2*y + 6. Let j be k(3). Suppose 0 = 7*w - j*w + 65. Calculate the remainder when 62 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 - 1839*l + 3.\nAnswer: -1839*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 37*d**2 + 7*d.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 - 184*n**2 + 118*n + 60.\nAnswer: 2*(n - 30)*(n - 1)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let h(d) be the third derivative of 31*d**4\/12 - d**3\/3 - 212*d**2 + 3*d. Give q(h(z)).\nAnswer: -62*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 2. Let u(g) = 4*g - 3. Let i(v) = 4*u(v) + 6*y(v). Let z(d) = 27*d**2. Give z(i(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220840 + -220823. Suppose -3*b + 2*b = -187. What is the greatest common divisor of d and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1752602 by -2.\nAnswer: 876301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z**3 + 2*z**3 - 14*z**3 + 57*z**2 to x*z + g + v*z**3 + j*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4266960.\nAnswer: 2, 3, 5, 23, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(5*s**3 + 49*s**4 - 98*s**4 + 48*s**4)*(1 - 2*s - 1).\nAnswer: 4*s**5 - 20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 1:26 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4)\/w)**14)**(-19)\/((w**2\/(w*w**0\/w))\/(((w*w\/(w\/(w\/(w\/(w\/(w\/w**(-3\/5))))*w*w)*w)*w*w*w*w)\/w)\/w**(-6))) assuming w is positive.\nAnswer: w**(749\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-52))\/((2880\/(-130))\/16).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-12) + (-969)\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 5*d**2 + 20*d - 69. Calculate l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u. Let i(w) = w**2 + 13*w. Give j(i(b)).\nAnswer: -2*b**2 - 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 1177*u - 5901. Calculate the smallest common multiple of 5253 and z(5).\nAnswer: 15759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/5094 and -73\/95454.\nAnswer: 27013482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166946 times -7?\nAnswer: -1.168622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802229 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -3*d**4\/28 + 41*d**3\/7 - 174*d**2\/7 + 228*d\/7 - 1925. Suppose f(z) = 0. Calculate z.\nAnswer: 1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:17 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3*m + 0*m + (-2*m + 0 + 0)*(-3 - 5 + 6) + (1 - 7*m - 1)*(2 + 1 + 5) to the form y*m + o and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/25 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2128.1 - 2127.7. Which is the third biggest value? (a) -9 (b) 3\/2 (c) -3\/4 (d) g (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-4)\/(-4)) - 1. Let v = 3 - u. Calculate the greatest common factor of 10 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13437 is divided by 2143.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18446 + -5866. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 33*s**2 + 24*s + 60.\nAnswer: 3*(s - 10)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2. Let o be k(-3). Suppose r = -3*r + 3*s + 27, 3*r + 4*s + o = 0. Suppose f - 5*m - 85 = 0, r*f = -5*m + 2*m + 183. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*q + 20 = q, -4 = -h - 5*q. Let o be ((-2)\/4)\/((-5)\/2). What is the closest to -1 in -0.1, h, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 24 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022863 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + -2 + (-2 - -4). Differentiate -j - 18 + 11*f - 1 with respect to f.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5756*o**2 - 6370*o**2 + 1902*o**2 + 2786*o**2 - 10298*o**2 to the form p*o + n*o**2 + u and give n.\nAnswer: -17736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7024592 divided by 89?\nAnswer: 78928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23830 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1001*g*h**2 + 6*g*h + 7*g + 545144*h**2 - h wrt g?\nAnswer: 1001*h**2 + 6*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883350 is divided by 88291.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h + 1145*h**3 + h**2 - 2 - 7*h - 936*h**3 - h**2 in the form p*h**3 + v + c*h**2 + z*h and give p.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.669987 rounded to three decimal places?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 22943 - 22943 - 7*i - 6*i**2.\nAnswer: -6*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**4 - 5*i**3 + 35*i**2 + 65*i + 30 = 0. Calculate i.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 15 - (6 + 11) - (7 + -23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 5*s**2 - s. Let c be g(5). Let l = 10 + -6. Put 3, c, l in ascending order.\nAnswer: c, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1570000 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8679, 34744, 78191, 139026, 217255?\nAnswer: 312884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-5)\/(90\/(-16)). Let x(c) be the second derivative of 1\/63*c**7 + 0*c**5 + 2*c + 0*c**2 - 1\/9*c**3 + 0 - 2\/45*c**6 + m*c**4. Factor x(p).\nAnswer: 2*p*(p - 1)**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 11*y**2 + 11*y - 17. Let g be b(10). Let m be -4 + 1 - (1 - 1) - g. Solve -m*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*1 + -4 - (-1*sqrt(3) + -3)) + sqrt(12)\/(sqrt(24)\/sqrt(6))*-1)**2 + 0.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) -575 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35925634 to the nearest integer?\nAnswer: 5994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 18, 257, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o**3 - o + 6*o**3)*(-7117 - 32842 + 340).\nAnswer: -158476*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 30 = 5*h, 0 = 2*h - 4*u - 10. Let v be (-231)\/h + (-1)\/5. Let r be (0 - 2) + (0 - v). Round r to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 10 - 49*h**3 + 42*h**3 + 4*h to the form c*h**2 + v + p*h**3 + y*h and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 124?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 172541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 0 + 2)*-1. Suppose l = 2*n + 3. Is n\/(0 - 4\/108) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72292 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 8*r - 1. Let u be i(-7). Let m(t) = -t**2 - 8*t + 2. Let j be m(u). Determine q so that -2\/7*q**j + 0*q + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in 2\/3, -0.4, 3, -0.02, 0.26?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64042, -256120, -576248, -1024426?\nAnswer: -1600654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + (3 - (15 + -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17219 is divided by 2065.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*i + 732*i + 621*i - 108896 = 188*i for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546950 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1520, 6103, 13740, 24431, 38176, 54975, 74828?\n\"Answer: 1527*y**2 + 2*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 19*v + 24. Let k be l(18). Suppose k*b = 10*b - 80. Calculate the least common multiple of 6 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (-52 + 53 - (-2 + -11)) - 6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.160306 to 1 dp.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a. Let z be (-1 - -2) + (3 + -1 - 8). Put -1, z, 4, a in decreasing order.\nAnswer: 4, a, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 8?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2244 divided by 1122.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6935 = 416*a - 4806 - 3235 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293093762?\nAnswer: 2, 13, 43, 317, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 3*x**2 - 3*x. Suppose 1061 - 1100 = -13*q. Let n(t) = -3*t**3 - 4*t**2 - 4*t. Determine q*n(s) - 4*z(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 10*g + 10. Suppose 46 = 3*m + 16. Let z(j) = j**2 + j + 1. Determine m*z(w) - t(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(133) + sqrt(133))*6)\/sqrt(7)*5 - (4 + (sqrt(209)\/(sqrt(33)\/sqrt(3)))**2)*-5) + -2 + 0.\nAnswer: 113 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 59490+21.661\nAnswer: 59511.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose 2*q + 5*w = 3*q - 34, -o*q + 32 = -w. Let l(t) = -t**2 + 12*t + 7. Is l(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137071471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:12 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 65240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.1801627 rounded to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1500\/625*(-10)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901701?\nAnswer: 349, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1014624\/73983*(-7)\/8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*-136\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 271.9766 + 0.0234. Let b = -272.1 + w. What is the third biggest value in -0.26, b, 3, -2?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxv when three letters picked without replacement from {x: 3, n: 3, d: 6, v: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2593577 minutes in microseconds?\nAnswer: 15561462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 2, p: 2, c: 2}. What is prob of sequence pp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1759425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, 1\/5, -5, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8859304 and 2056?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((6\/9)\/(4\/6)). Let a(r) = r**2 - 4*r + 4. Let g be a(d). Let l(u) = 9*u**2 - 2*u + 1. What is l(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44888 divided by 1448\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 26318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 334452 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 4*t - 1. Let b be j(-2). What are the prime factors of b + 0 + (0 - -26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -16*q**2. Suppose 3 = 4*y - 1. Let d(b) = 5*b - 4. Let n(m) = -3 + m - 3 + 5. Let g(i) = y*d(i) - 4*n(i). Give g(l(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5)\/(54\/(-60)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*x - 21 = 0, -5*x - 179 = -k - 157. What is the biggest value in -2, 2\/7, k, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -81 in descending order.\nAnswer: 3, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 + -161. Solve -m = -2*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1187.035+-1.5\nAnswer: -1188.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 9:18 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 431 - 407. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c, z = 5*c - 10 + 3. What is the units digit of (8015\/(-14))\/(z\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -18*l. Let r(o) = -24*o**2 + 8*o**2 + 2*o**2 + 7*o**2. What is r(x(q))?\nAnswer: -2268*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2733 * 3\nAnswer: 8199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4473998 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from eepeeeeeepeee.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24644, -24712, -24780, -24848, -24916?\nAnswer: -24984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*z = -9, 0*h + 4*z - 3 = h. Suppose -2*v - v - h*w = 0, -4*w = 4*v. Let d = 2 + 0. What is the nearest to v in 4, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + -38. Let w = 18 - a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1221, -2456, -3691, -4926, -6161, -7396?\nAnswer: -8631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 288*q - 14107. Let b be f(49). Let m(p) = -p**3 + 2*p**2 - 2*p + 3. Let u be m(6). Put b, u, 2 in decreasing order.\nAnswer: b, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllcclccttllclt. Give prob of picking 2 l.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-3273004)\/(-336) + (415\/60 - 7) and 5?\nAnswer: 48705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-17 + 7 + 27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 5, -2, 0 in decreasing order.\nAnswer: 143, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 1\/4, -5, -0.4, 50\/8659?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-525)\/(-150))\/(1\/((-6)\/(-3))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -459 * -3.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 792131?\nAnswer: 792126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*x - 14, -101 + 89 = 3*x + 9*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*t - 6 + 330 + 206*t - 110*t to i + d*t and give i.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*r**2 - 885*r**2 + 430*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-20))\/((-363)\/(-2420)).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l = 0. Let g = -5483 - -5485. Sort -9, 14, g, l in decreasing order.\nAnswer: 14, g, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28\/5 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*m = -5*s - 12, m - 8 = -2*s. Let u(i) = 8*i + 2. Does 6 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2. Let d(s) = s**2 + 4. Let l(w) = -3*d(w) + 6*q(w). Let o(i) = i**2 - 5*i. Let t(b) = b**2 - 3*b. Let z(p) = -3*o(p) + 5*t(p). Determine z(l(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 49.5, 996, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a millennium in years?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01492 minus 1?\nAnswer: -2.01492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 497413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1339692 and 4584?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-115)\/(-10) + (-2)\/(-4). Suppose -a - 4*p + 2 + 7 = 0, a = 3*p - h. Let n = 4 + a. What is the greatest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 1 + 1)*(-2024 + 84*z + 2024).\nAnswer: 168*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1423703 (base 9) to base 14.\nAnswer: -165776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4242 - 110293\/26. What is the nearest to 1\/4 in -4, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2+-1413.7\nAnswer: -1415.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3754 + 1?\nAnswer: -3753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450 (base 14) to base 11.\nAnswer: -707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence che when three letters picked without replacement from {q: 1, e: 3, h: 3, l: 2, c: 2, j: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 - 0\/(-1). Let m be (((-1)\/1)\/1)\/g. Is m < 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.0841 litres in millilitres?\nAnswer: 412084.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 3 + x - 2)*(147*x**3 + 105*x**3 - 69*x**3) to w*x + g*x**3 + y*x**4 + p + o*x**2 and give g.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 42.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7637927*b**2 - 1634522 wrt b.\nAnswer: 15275854*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Suppose 0 = -2*a + 8 - 2. Suppose -f*k = -a*k - 18. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u - 20. Let q be (u\/(-6))\/(130\/42 - 3). Solve 2*z = q*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(133)\/(sqrt(42)\/sqrt(6))) + -5 + (6*-1*sqrt(2299) - sqrt(2299)))**2*3 + -5 + -2.\nAnswer: 2310*sqrt(19) + 338021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**2 + 31 - 31)*(-4*d**2 - 6*d**2 + d**2).\nAnswer: -117*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019208 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -264, -1071, -2416, -4299?\n\"Answer: -269*a**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7931 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 1, l: 6, p: 1, f: 1}. What is prob of picking 1 k and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-25)\/(45\/6*224\/140)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-44)\/726)\/((-1 + 8)\/77)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 370.0662\nAnswer: -148.02648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26072 and 1?\nAnswer: 26072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 14. Is 2 + (-6)\/k - -492 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(2\/8). Find s such that -s**2 - 3*s**4 + 3*s**4 + g*s**4 - s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-25*k**5 - k - 2*k**3 + 31*k**5 + 0*k**3).\nAnswer: 6*k**5 - 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*m - 12 = 4*j, 3*j - 16 = -5*m. Suppose -5*w = -375*k + 370*k - 50, -4*k = -3*w + 32. Suppose -w*r + j*r = -12. Solve r*h + 11 = 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157148489 to the nearest integer?\nAnswer: 12536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**2 - 4*d**2 - 17*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o + 0)*(-4*o**3 + 3*o**3 - o**3) + (-5252 + 5252 + 32*o)*(2 - 2 - 2*o**3).\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 2*g + 7*g + 3*g + 3*w - 9 = 0, 26*g + 2*w - 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**2 + 2*h**2)*(2*h**2 - 3*h**2 + 3*h**2) + (1 + 2*h**3 - 1)*(0*h**2 - 2*h**2 + 3*h**2) - 43*h**5 + 211*h**5 + 2*h**5.\nAnswer: 174*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 - 4*y**2 + 6*y - 2 - 2*y**3 - 5*y**4 + 2*y**2 - 22*y in the form l*y**4 + g*y + v*y**3 + m*y**2 + q and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w - 6*w - 24. Suppose y - 2 + 10 = w*k, -5*y - k + 2 = 0. Let h = y - -10. What is the highest common factor of h and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -330*v - 6*v**2 - 3 + 327*v + 1 + 3*v**2 + 2*v**4 to t + z*v + b*v**4 + y*v**2 + x*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 22. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 5*f**2 - 550*f**3 + 0*f - 4*f + 554*f**3 to r + v*f**3 + u*f + l*f**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243504 (base 6) to base 4.\nAnswer: -11101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + j**2 - 3)*(25*j**2 + 3*j**2 - 11*j**2).\nAnswer: 17*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x + 2*t, 0 = -4*t - 13 - 3. Is 9 a factor of (-66)\/((-2)\/x) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 18, 1 in descending order.\nAnswer: 18, 1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3405774 and 1032756?\nAnswer: 5802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 42. Let d(u) = u**2 + 1. What is -d(r) - y(r)?\nAnswer: -3*r**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4109 - 2435. What is the remainder when (-4)\/6*h\/(-36) is divided by (1\/(-2))\/((-2)\/32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqwlllqqlq. Give prob of picking 1 q and 1 l.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*w + 4 = 0, -6 + 8 = -2*g - 4*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 149, 152, 155, 158?\n\"Answer: 3*g + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(252) + 2 + sqrt(252) + -2*sqrt(252) + sqrt(252) + (sqrt(252) - ((1*sqrt(252) - sqrt(252)) + sqrt(252) + -1)))**2*3.\nAnswer: 108*sqrt(7) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**6\/40 - z**5\/10 + z**4\/8 - z**2. Find a, given that j(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2, 3*g = 2*g - 4*f + 20. Let t be (-4)\/6 + (-9)\/((-27)\/g). Let h = -73\/15 + t. Is 0.02 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**4 - 112*d**3 - 3*d + 138945?\nAnswer: 12*d**3 - 336*d**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/9 - 220*p\/3 - 6050 = 0. Calculate p.\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 3*m + 6 + (-2*m + 0*m + 3*m)*(0 + 1 + 0) + 6 + 4*m - 6 - 2*m - 3*m + 4*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3\/4 (c) -19 (d) 0.12 (e) -4\/519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1910500, -1910503, -1910508, -1910515?\nAnswer: -1910524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16527 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*187.\nAnswer: -5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 77, 140, 223, 332, 473?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, j: 6, c: 5}. Give prob of picking 1 y and 1 c.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/(-3))\/((-20)\/(-4)*(-166)\/(-415))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -58. Let m be 480\/9 - 4\/(-6) - 2. Let o = x - m. Calculate the smallest common multiple of 32 and o.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8*(-8)\/(-7). Let g = 4982 + -4986. Let d be (-4)\/(-8) + 11\/(-4). What is the third biggest value in d, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 723048.9675495 + 0.0324505. Let y = -723049.5000005 + k. Let x = 0.5 + y. Round x to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:24 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -15*y + 112. Calculate the remainder when y is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*1\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71882 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let n be (-3)\/(-6)*-2*k. Suppose -n*q + 9 = 1, -b = q - 17. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 4*u**2 - 4*u - 1. Give w(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7973*b**2. Let y(k) = -13*k**2. Give a(y(f)).\nAnswer: 1347437*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 110929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*j = 2*j + 6, -5*j - 15 = 0. Let p be ((-12)\/10)\/((-4)\/10). Let x(u) = -u**3 - 6*u**2 + 3*u**p + 7 - u**3 - 4*u. What is x(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v. Let s(y) = -y**2 + 6*y + 2. Let w be s(6). Let k(l) = -3*l**2 - 2*l**w + 4*l**2. Determine m(k(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259961611, -259961610, -259961609, -259961608, -259961607?\nAnswer: -259961606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73649.\nAnswer: 47, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -243*f - 937. What is u(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*r + 338 = 0, 0*r + 198 = 3*y + 4*r. Suppose 0 = -n + 18 + 4. Calculate the common denominator of -95\/2 and (-2 + y\/n)*-4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 y when three letters picked without replacement from {o: 15, y: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4) + 0)\/(6\/(-14)). Which is greater: l or 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -15. Is (-2 - (-15)\/f)*-2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8859211 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 15*u - 4 = 0. Let j be ((-3)\/1)\/3 - (-134)\/u. Suppose 3*g - 103 = -4*f + 89, -3*f = 5*g - j. What is the remainder when f is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -83 - 937. What is the remainder when 202 is divided by g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnhnanaannannanah. Give prob of sequence anna.\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00472351607 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**0)**(-29)*(v**(2\/7))**(-1\/79) assuming v is positive.\nAnswer: v**(-32076\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -37 - (1 + -3)) + (13 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315819*a**5 + 2775794*a**2?\nAnswer: -18949140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-2)\/(4\/(-5))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:24 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000618361 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 82\/(-30) + 344\/215 - -1. Which is the closest to 0.1? (a) 5 (b) 7 (c) 2\/21 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (14 + (-1 - 2)). Let m(k) = -2*k - 12. Let a be m(t). Is (a\/(-2) + -49)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205616 + -20536?\nAnswer: 155050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0489396 decades?\nAnswer: 0.489396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-6) - (-2)\/3. Suppose -15*h = -5 - 25. What is the second biggest value in 3\/7, u, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*g**4 + 1 - 2*g**4 + 7*g**4 + 2*g**4 - 2*g + 2*g + g**4 + (-3*g + g + 3*g)*(g**3 - 2*g**3 - g**3) - 5*g**4 + g**4 + 3*g**4.\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-5))\/((-6)\/(-80)). Let u = -34 + z. What is the lowest common multiple of 8 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {y: 4, d: 3, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3*u**4\/2 + u**2 - 2*u + 80. Let c(l) = 13*l**3 - 4*l + 4. What is 7*a(q) + 3*c(q)?\nAnswer: -3*q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 205, 16, -1, 0 in ascending order.\nAnswer: -1, 0, 16, 28, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/678704 and 107\/2884492.\nAnswer: 11537968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 110 - (-8 - (-84)\/12)\/1. Calculate the greatest common divisor of b and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350016723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7857 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 177503.6 litres?\nAnswer: 177503600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 47. Let t = 2263\/77 + -200\/7. What is the second biggest value in t, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 * 1647.9135\nAnswer: -4614.1578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*l - 32 = -9, 5*m + 5*l = 20. Let h = 19 - 134\/7. Which is the nearest to -1? (a) h (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4389.058ml?\nAnswer: 4.389058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4872, 19413, 43658, 77613, 121284?\n\"Answer: d**3 + 4846*d**2 - 4*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27975.\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -19, 0 in descending order.\nAnswer: 0, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-4*x**4 - 2*x**4 + 2*x**4) + 5*x**4 - 3*x**4 - x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:49 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 180*x - 1817. Give l(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**3 + 88*o**2 + 9*o - 25. What is w(22)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66963 - 66963 + 530*v**3.\nAnswer: 530*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30099 is divided by 14488?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 190.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(-22)*n\/n**(-21)*n*n**(-3\/2)*n*n**(-2\/55) assuming n is positive.\nAnswer: n**(271\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/2)\/((-147)\/(-14)). Let g = -6 + 1. Which is the third smallest value? (a) g (b) -1 (c) 2\/13 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 44.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.26 * -433.5\nAnswer: -979.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/82 and 2 - (-56)\/120*36\/8?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/102 and (582\/75)\/(5\/((-100)\/(-16))).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x + 58. Suppose 2*d - 4*l - 18 = 6, -3*l = -5*d + x. Solve -2*b = -4*n + 10 - 28, 3*b = -d*n + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99176736.\nAnswer: 2, 3, 23, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2993?\nAnswer: 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 4*w - 1. Let d be b(3). Suppose -7 + d = -a. Let t be 2\/5 - 16\/40. Solve 2*x + 2*f = -t*x - 14, a*x - 2*f = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -49. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/18 + 6\/27. Let o = 2 + a. Suppose -5*n + 73 = -4*y, -n + 83 = o*n + 5*y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1*1)\/sqrt(3))\/(-1*sqrt(128)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))**47\/(a**2*a*a)**39)**(6\/11) assuming a is positive.\nAnswer: a**(-372\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.36730878 from -39.\nAnswer: -38.63269122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 130. Differentiate 108 + 31*k - 24 + 65*k - v*k wrt k.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3235039032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 39 + 51 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 0)*(17 + 1 - 32)*(3*w**5 - 15*w**3 + 15*w**3).\nAnswer: -252*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7679*g - 5*c = 7683*g + 17, 3*c = 8*g + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3 - 3)*(-20 - 121*l - 33 + 120*l).\nAnswer: 2*l**2 + 106*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*c - 43 with respect to c.\nAnswer: -171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 32*w + 235. What is m(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/p**(-1\/4))\/p**(4\/7))\/((p\/(p\/(p**(-6)*p*p*p)*p))\/p**(-2\/11)))\/((p*p*p*p*p*p**(-1)\/p*p)**(11\/3))**(-13\/2) assuming p is positive.\nAnswer: p**(94091\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 + 192\/330. Let a = -0.8 + 0.3. What is the closest to 2 in 3\/7, y, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432 and 378.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653379922?\nAnswer: 2, 13, 4447, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:33 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + 4 - (-2)\/2. Let k be (o + 0)\/((-132)\/8). Sort k, -1, -3 in decreasing order.\nAnswer: k, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = 4*y, -5*o + 4*y = -o - 20. Put -1, o, 3, -115 in increasing order.\nAnswer: -115, -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrxzrpzrprj. What is prob of picking 1 p and 1 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31018 + -1*((-3 - -11) + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 575 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -515, -697, -883, -1073?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Find the third derivative of 261*b*s**5 + 291*b*s**2 - 5*b*s - s**5 wrt s.\nAnswer: 15660*b*s**2 - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/3, 0.3, 2\/9, 3\/61?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72787 and 3597?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 3*a - 90. Let p be (-8550)\/(-175) - (-1)\/7. Let g = a + p. What is the common denominator of -7\/2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 16, r: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*h - 43197, 181 = 3*f - 3*h - 25730. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 17. Suppose -4*z + 10*z - 42 = c. Solve 3*o - z*o = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 22 = 4*x. Suppose 5*a = p + x, -3*a - 4*p + 3*p = -10. Suppose -3*m + 66 = -a*q, 126 = 5*m + 2*q + q. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 23, -2\/3, 5 in descending order.\nAnswer: 133, 23, 5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**2 + 15*u**4 - 10*u**2 + 368*u - 10*u**4 - 7*u**4 - 11*u**2 wrt u?\nAnswer: -24*u**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 37 = 6. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 16) to base 5\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*o + 2*o = 628, -133 = -u + 5*o. Let m be (-1)\/2 + u\/34. Suppose -3*s - m*w = -949, 0 = -2*s + 5*s + 2*w - 959. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7470 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by 21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22112122 - -2012221001?\nAnswer: 1220101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(4 + 6 - 1)*(2*r - 2*r - 2*r**2).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092940 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208.9 + -209. What is the biggest value in y, -2, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 4*m**2 - 2*m. Suppose 3*v - 5*h - 44 = 0, h - 6*h + 64 = 3*v. Suppose 0 = 2*c + c - v. What is the remainder when c is divided by a(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o + 25200. Suppose -2*b = -0*b + o. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.0434, -0.1, -17, -0.3, -2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from titiiiiittiiiiiiiiti?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v**3 - 63*v - 2*v**4 + 38*v + 2*v**2 + 5 + 39*v - 3 to the form p*v**2 + t*v**4 + k*v + i*v**3 + o and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*w + 200*w - 32 = 2*s, -2*w + 15 = -3*s. Sort s, 0, -4, 52 in ascending order.\nAnswer: -4, s, 0, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-6) - (-2)\/6. Let t be (-2)\/4 + (-4)\/(-2). Let r(v) = -3*v + 20. Let s be r(8). Which is the second smallest value? (a) t (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -7 in descending order.\nAnswer: 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/((-32)\/(-12))*-3. Suppose d - q*d + 48 = 0. Suppose l + 4 = 0, 4*l = 3*t - d - 10. Solve t*h - 5*h + 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -137 - 107. Let y = -57 - h. Differentiate -3 - 28*j**4 + 11*j**y + 4*j**4 wrt j.\nAnswer: -52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:51 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2 + 77131*t + 843217?\nAnswer: 2*t + 77131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 13. Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + 1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2747 and 1.\nAnswer: 2747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/6 + 27*n**3\/2 - 127*n**2\/2 - 1172*n. What is b(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 21*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v + b = -101, 3*b - 17 = v. Let m = v - -58. Suppose -113 = -y - 4*i, 0*i - 511 = -5*y - 2*i. Calculate the remainder when y is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {l: 10, m: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.7011460555 + -0.3\nAnswer: -1.0011460555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6 + (-4 - (-29025)\/7614)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 2*l**2 - l - 1. Let m be -45*(-5)\/(50\/(-4)). Let z = -6 - m. Let h = 14 - z. Determine q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 + 39*a**2 - 63*a - 33. Let j be c(11). Factor j - 2*y + 3\/2*y**3 - 1\/2*y**4 + 0*y**2.\nAnswer: -y*(y - 2)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swzq when four letters picked without replacement from qwqqqzzqqqsqqqq.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Calculate the greatest common divisor of 19 and 22260001.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300) + 3)*6.\nAnswer: 30 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - x - 707. Give v(-25).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61440, 245749, 552932, 982989, 1535920, 2211725, 3010404?\n\"Answer: 61437*d**2 - 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 19 = -3*i - 0*i, 4*f - 2*i - 18 = 0. Let l be -8*(f + -3)*-3125. Round l to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.1 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.2469l in millilitres?\nAnswer: 722246.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956509 is divided by 1042?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85794\/7 - 85786\/7. Determine i so that s*i**4 + 134\/7*i**2 - 58\/7*i**3 + 18\/7 - 102\/7*i = 0.\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 36*h - 10. Let d(p) = -p - 1. Let r(s) = 2*d(s) - n(s). Let u be r(-4). Calculate the greatest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c + 21*c - 7*c. Let x(q) = 5*q. Give 3*s(w) - 4*x(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -87 + (40 - -10).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {i: 5, s: 3, u: 1, m: 1, j: 1, l: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4 (c) -3\/4 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132112 - -220111332?\nAnswer: 220310110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6324*v - 3140*v - 2880*v.\nAnswer: 304*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (464\/(-48) - -13)\/(-3 + 452\/150). What is the greatest common divisor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*w = -14, -10*d = -5*d - 6*w + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.273 rounded to one dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -26. Let v be 2\/(r*(-5)\/130). Is -13 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/20 - 7*j**4\/12 - 3*j**2 + 10*j + 10. Determine t(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - -4.93. Let u = 0.71 + -0.21. Which is the smallest value? (a) 3\/7 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23237 - 23230. Let f = 0 - -5. Find the third derivative of 36*c**5 - 4*c**f - 3*c**5 + b*c**2 wrt c.\nAnswer: 1740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 307730*c - 16617410. What is m(54)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 + 15*a**2 + 19*a**3 + 9*a**3 + 14*a**2 - 31*a**2.\nAnswer: 28*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90\/(-675) - 2*(-22)\/60. Is -0.3 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113095*p**3 - 8*p**2 - 1615428*p wrt p?\nAnswer: 678570*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 1\/4*k**4 - k + 33 - 5\/3*k**3 - 3\/2*k**2. Suppose -15 = -3*y + 3. Calculate i(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 33*q**2. Let v(a) = 250*a + 25. Let m(z) = 21*z + 2. Let j(o) = -50*m(o) + 4*v(o). What is d(j(l))?\nAnswer: 82500*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)\/1 - -3. Suppose -4*k + 3*d = -26, -2*k - 3*d = -0*k - 4. Let y(s) = 2*s - s - 3*s - s**2 + 5. Let j(p) = p - 2. Calculate c*y(a) + k*j(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(1539) + 0 + 3 + sqrt(1539)*-2 - (2*sqrt(1539)*2 + 3 + sqrt(1539) + sqrt(1539) + 0))**2*-2.\nAnswer: 3780*sqrt(19) + 452616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11203426 (base 7) to base 6\nAnswer: 32530431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -16. Let f = -6 + 9. Suppose 2*l + 3*a = -f*l + 21, -7 = -3*l + a. Put r, l, 5 in decreasing order.\nAnswer: 5, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -31.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (7\/2 - 2). Let f = -0.066 - -15.966. Let t = f + -16. Which is the closest to t? (a) 3 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -5*v - 22*r + 78, -5*r + 10 = 0. Suppose -4 = 2*d - 2, 4*i + 3*d = 301. What is the lowest common multiple of v and i?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + -5 - ((sqrt(98) + 1*sqrt(98))**2 + (-2*sqrt(32))**2).\nAnswer: -525 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*-6 + 5. Let u be 1\/(-1 - (-3)\/s). Solve -v = v - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1037, -2075, -3137, -4235, -5381?\nAnswer: -6587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = v. Which is the nearest to -3\/4? (a) -0.4 (b) 5 (c) v (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*a + 2*a + a - 5*a + (-2 - 3 + 4)*(-2 + 2 + a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(60)\/(sqrt(12) - (sqrt(36)\/sqrt(3) - sqrt(12))))**2 - (sqrt(5) - sqrt(80)*-2)**2*-1.\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = 1. Suppose 3*j + 5*c - 14 = 0, -3*c + 4*c - 4 = -j. Let g(v) = v**3 - 4*v**2 + 3*v + 1. Calculate the remainder when b is divided by g(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -8 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + (-3)\/(-1 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 - 69. Calculate the smallest common multiple of r and 6 - 1*((-40)\/25)\/(20\/300).\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.6. Let c = -2.36 - -0.36. Let p = c + 1.8. What is the third biggest value in p, -6\/7, d?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2382 + -2382.2. What is the biggest value in 22, u, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let h = l + -0.9999995. Round h to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050128958 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36399790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19816 or 4105?\nAnswer: -19816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8146371*j**2 + 5302*j + 745?\nAnswer: -16292742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.37 + -3.96. What is p rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4 + -6*(-4 + (sqrt(36)\/sqrt(2) - sqrt(2)) + 1))*2)**2.\nAnswer: -2112*sqrt(2) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12534 + 12538. Solve 4*p = -3*h - 9, -i*p + 436 - 427 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 24*f**2 + 3*f - 1. Let j be p(1). Let b = 388 + j. What is the highest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*y + 20 = 0, l = -3*y - 2*y - 8. What is the least common multiple of 5\/(-20) + (-201)\/(-4) and (5 - l - -11) + 2?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1702 = 2*a + 357, -3*n + 3 = 0. Let k = a + 269. List the prime factors of k.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 756 - 762. Let v(h) be the second derivative of -h**3\/6 - h**2\/2 + 29*h. Calculate v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t + 7. Let g(d) = 23*d - 13. Suppose 5*b = -2*z + 65, -2*b = -3*z - 286 + 279. Determine b*j(x) + 6*g(x).\nAnswer: 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4845, 4842, 4837, 4830, 4821?\nAnswer: 4810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 0.03967596.\nAnswer: 3.03967596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/507 + -469\/9633. What is the closest to 1\/2 in n, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:45 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/14)\/(3\/5076). Let u = i + 724. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w*w**(-2)*w))))\/w*w**(-2\/19))\/(w**1)**(-5\/4))**(-13\/3) assuming w is positive.\nAnswer: w**(-377\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26149 is divided by 396?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = -66. Let c = -56 - s. Solve -3*y - 2*y - 15 = 2*i, 0 = -2*i - 4*y - c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428977 is divided by 428962?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 102*t**3 + 1453*t**2 - 6720*t + 8428.\nAnswer: (t - 86)*(t - 7)**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241423 + 2?\nAnswer: -1241421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11593 - 11593. Which is smaller: 26\/107 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 2) - 1 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 16*v - 20*v. Suppose 5*i = v + 9. Suppose i*p - 360 = -5*o, -12*p = -7*p. Calculate the smallest common multiple of o and 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44, 24, 92, 160, 228?\n\"Answer: 68*u - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -1 - 134\/6. Let x be 0 - ((-24)\/36 + 70\/(-3)). Let j = x + t. Do j and 1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 738 and 540?\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-2)\/(((s*s*s\/(s*(s*s\/s**5*s)\/s)*s)\/s)\/(s\/(s**6\/s*s))))\/((s\/(s**(-1\/3)\/s))**(-30)*(((s*s**(3\/2))\/s)\/s)\/(s\/s**2)) assuming s is positive.\nAnswer: s**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10260 is divided by 929.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (143\/44 - 3)*16. Sort 5, -1, g, 0 in ascending order.\nAnswer: -1, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 2 = 0, 4*q - 3*s - 18 = 0. Suppose 5*r = 3*i + q, -5*r - 2*i - 4 = -r. Let c(t) = t + 7. What is c(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222780 by -2.\nAnswer: 111390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from xaaajjcpajai?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 + 485*l + 2. Let w(r) = 6*r**2 + 487*r + 2. What is 2*p(n) - 3*w(n)?\nAnswer: -2*n**2 - 491*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.374 + 0.026. Sort 24, -1, s.\nAnswer: -1, s, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199840*b - 199836*b - 10 = w, 0 = -5*b + 13*w - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 21903872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r**5*z - 3688*r**3*z + 2*r**2 - 18997*r*z wrt r.\nAnswer: -480*r**2*z - 22128*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 25*u = 27*u + 9, 7 = 3*w - u. Let b = 6 - 16. Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + -3 + 1 + -2. Suppose -4 = -q + l. Let f = q - 7. Solve 5 = -f*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c - 11. Let n(y) = 3 + 1 + 1 + 5*y. Let w(a) = 4*l(a) + 9*n(a). Let r = 0 - -4. Determine w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 88.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/4)\/((-2)\/(-8))*18709. Let z = v + 74201. Round z to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22228070 + 3575*t**3 - 22228070.\nAnswer: 3575*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -36, -5, 207?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 34*f**4 - 22*f**3 - 4*f**2 - 742*f - 10. Let n(p) = 2*p**4 - p**2 - 2*p - 2. Let c(h) = -4*n(h) + x(h). Find the second derivative of c(q) wrt q.\nAnswer: 312*q**2 - 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 0 - (-7 + (13 + (-13 - 8) - -59)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let y be 7\/(1\/6*b). Suppose 4*m = -5*z + y, 4*z - 3*m - 34 = -11. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 12. Determine r(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 32 + 6*w - 5*w + 45 + 4*w.\nAnswer: 7*w + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2785?\nAnswer: -3\/2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-26))\/(62\/34844*281)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at least as big as -721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**6*l)\/(l**(-26)\/l))\/((l\/l**(-2\/49))\/l*l**(-32)))**(2\/7) assuming l is positive.\nAnswer: l**(6660\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2\/2 - 24. Let u(n) = -n + 400 - 400 + 0*n. Determine u(p(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9006 divided by 6156.\nAnswer: 79\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 + 83*w**2 - 123*w + 1659. Let f(l) = 9*l**3 + 165*l**2 - 277*l + 3320. Let c(u) = -4*f(u) + 9*v(u). Find the second derivative of c(t) wrt t.\nAnswer: 54*t + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*r + 1292 = 2662 + 2774. Calculate the greatest common factor of r and 1603.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v + 1. Let j(c) = c**2 + 3*c + 3. Let y(w) = 3*w + 36. Let f be y(-10). Suppose f = 5*d - 11*d. Give d*j(l) + 2*h(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9396*f**3 - 4*f + f + 8679*f**3 - 2 - 6*f**2. Let w be o(-7). Round w to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:54 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, 3, 53110 in descending order.\nAnswer: 53110, 3, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59934139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243) + sqrt(243) + -1 - -2*sqrt(243)*-2) + -3 + 5.\nAnswer: -18*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53, 61, 65, 65?\n\"Answer: -2*c**2 + 14*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, l: 4}. What is prob of picking 1 l and 1 i?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6970 + 22139. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 292*s**2 - 151*s**2 - 147*s**2.\nAnswer: -s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 418*x**2 - 2*x**3 + 411*x**2 - 810*x**2 as n*x + z*x**3 + b*x**2 + p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (-3*sqrt(76)*-1 - sqrt(76)))\/(sqrt(256)*3).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w. Let q be p(-2). Let j = 3 + q. Suppose 3*k - j - 3 = 0. What is the smallest common multiple of k and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -7.5. Let s = 15.69179 + 3.30821. Which is greater: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -106.000000516. Round o to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*q**4 - 262*q**4 + 1044*q**4)*((3 - 3 - 2*q)*(1 + 0 - 3) + 0*q + 2*q - 4*q - 3*q - 2*q + q).\nAnswer: -1324*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -198*a + 201*a + 133, 3*s - 3*a = 93 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = 6*y + 327. Let n = -32 - y. What is the remainder when n is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 1, j: 1, g: 6, r: 1, c: 2}. What is prob of sequence rgjg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnw when three letters picked without replacement from mnnmnnnrcw?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 913, 3232, 7779, 15304, 26557, 42288?\n\"Answer: 125*t**3 - 11*t**2 - t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.53, -5, -1714?\nAnswer: -1714","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-5)*(-2)\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178482*k + 356725*k - 178059*k.\nAnswer: 184*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 10385749, -0.3.\nAnswer: -2\/3, -0.3, 10385749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1210 from -75215.\nAnswer: -76425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 4*h)*(-9*h**3 - 5*h**3 + 2*h**3) - h**4 - 2*h**4 + h**4.\nAnswer: -26*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 189854 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14200*i**2 + 7881*i wrt i?\nAnswer: 28400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*a - 4, 0*q - 4*a + 12 = 2*q. Solve o - q*v - 9 = 0, -v + 4 = o - 2*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36093823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116829069 is divided by 193.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10, -5, -144?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + t**2 + t. Let i(j) = 8*j**3 + 4*j**2 - j + 11. Let x(b) = 3*a(b) + i(b). Calculate the remainder when 172 is divided by x(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n + 6*n. Suppose n*l = 4*l - 6. Solve 0 = 5*w + l + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 148*p**2 + 2*p + 2. Let s(g) = 17*g. Determine s(a(b)).\nAnswer: 2516*b**2 + 34*b + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*a = 461 - 546, 0 = -2*y + a + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3660*u - 156. Let s(m) = 87841*m + 3770. What is 6*s(k) + 145*y(k)?\nAnswer: -3654*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (9 - 9 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -1\/6*k**3 + 5*k**2 - 1\/60*k**5 + 1\/8*k**4 + 0 + 0*k. Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3*i*i*i**(-2\/3)*(i\/(i\/i**(-1)))**44 assuming i is positive.\nAnswer: i**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/2)\/a)*a**20\/a)\/(a**(-10)*a*a\/a**(-2\/9)) assuming a is positive.\nAnswer: a**(509\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1128*i**2 + 163*i + 4 wrt i.\nAnswer: 2256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8142 is divided by 4047.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 - -0.1. Let m = 2.4 - u. Let h be (-11)\/(-12) + (-2)\/8. Which is the closest to 0.1? (a) h (b) 3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -0.619 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((112\/2)\/(-4))\/(((-10)\/6)\/(-5*1)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, 3, 56.\nAnswer: 0, 2, 3, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-59)\/(-9) - (4 + (-240)\/54))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74158048?\nAnswer: 2, 2317439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Let x(h) = 27*h. Let q(v) = 7*v. Let f(r) = a*x(r) - 15*q(r). Let o(j) be the second derivative of -j**3\/6 - 2*j. Determine f(o(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.95 + 0.05. Let t = -6 - -8. Suppose m + 13 = -2*m - 2*x, -x = t. Which is the second biggest value? (a) j (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -29. Suppose 0 = -f*z + 4*a + 345, -3*z = 2*z + 5*a - 300. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k + 146 = 2*p, 89 = p - 5*k. Suppose -79*r + p*r = 10. What is the third smallest value in 0.5, 4, r, -0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-12))\/((-4)\/(-6)) + 293. Suppose -6*c = -5*c - j. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69.1 in 1\/3, -0.2, 2\/51, -5, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52, -436, -1478, -3508, -6856, -11852, -18826?\n\"Answer: -55*y**3 + y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1476 + 94. Suppose 4*b - 2*z + 4*z = 1590, -4*b + l = -2*z. What are the prime factors of b?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 30949*h + 9. Determine l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4 + 0 + sqrt(612))*-2 + (-4*(sqrt(612) + sqrt(612) + 1 - sqrt(612))*6)**2 + -1).\nAnswer: -706158 - 13800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4 + 180*d**3 + 510*d**2 + 500*d + 165 = 0.\nAnswer: -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047408 rounded to 6 decimal places?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-94)\/(-18) + 4\/(-18). Let m be 2\/5 + 48\/30. Suppose -s*l = -m*g - 30, 0*l - 3*l + 5*g = -37. Solve 2*c = -5*p, -4*c + l*p + 30 = -p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027047 rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17768755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1167 and 35842071.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1036608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, d: 2}. Give prob of sequence dkk.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2 + 3*h + 1. Let c = 5 + -7. Give i(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -11a2eb8?\nAnswer: 11a2eb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(38)\/sqrt(2) - (3 + -2*sqrt(19)))**2 + 2 + ((sqrt(912) - sqrt(57))*2)\/((-2*sqrt(21))\/sqrt(7)).\nAnswer: -45*sqrt(19) + 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = d + 3*h, 3*h = -3*d + 4*h + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 10:32 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = -0*y + 5*y, 0 = y - 2*a - 7. Let v be (0 - y\/9)\/(1\/(-48)). Calculate the highest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58617*n**2*y**2 + 5*n**2*y + 10563*n**2 wrt y.\nAnswer: 117234*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -16.3. Let m = -0.3 + d. Let r = 1690\/3843 - -2\/427. Which is the closest to -0.1? (a) r (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtsjjcpjjjpkpjjjjjk. What is prob of sequence ts?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 4\/117 (c) -0.4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 9*j - 5*a - 13, j - 2 = 4*a. Let u(l) = 5 - 4 + 8*l**2 + 2*l**3 - l**3 - 3*l - j*l. What is u(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 4, p: 7, b: 2, v: 2}. Give prob of sequence vpnn.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/495 and -79\/98891496.\nAnswer: 494457480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/3*(-2 + 1). Let l be (-4)\/8 + 110\/(-4). What is the lowest common multiple of l\/(-8) - (-2)\/p and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -46*d. Let r(a) = -61796*a. What is c(r(h))?\nAnswer: 2842616*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + -3*(1 + sqrt(80) + sqrt(80) + 3*sqrt(80) + -5 + sqrt(80) + 0 + (sqrt(80) - (sqrt(80) + 2)))) + 3)**2.\nAnswer: -28512*sqrt(5) + 237636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93857338 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-7 - (28 - -6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s - 10 = 0. Let q(f) = f**2 - 4*f - 2. Let n be q(s). Let x be 1 - (1 + 6\/n). Is 0 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let d = 31 + -36.2. Let y = d - n. Put 0.3, y, -0.5 in descending order.\nAnswer: 0.3, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10290*l + 72393. Determine o(-7).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - t - 4. Let a(i) = 2*i + 7. Let l be a(-5). Let c = -10 - l. Let v be 1\/((-2)\/(-1 - c)). Calculate z(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22096 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6347619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y, 17*y - 16*y = -2*i + 125. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 3, h: 6, p: 4}. Give prob of picking 2 a and 1 h.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000141806239 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -47*i + 238. Let s(f) = f**2. Calculate u(s(m)).\nAnswer: -47*m**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1651 - 1649. Solve -4*n + 1 = -a*d - 3*n, -15 = 3*d + 3*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -5aa?\nAnswer: -5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 14*o + 10. Let m be u(-10). Let j = -21\/4 + 123\/20. What is the common denominator of (47\/m)\/((-10)\/15) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 0.07, 0.4, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3*(8\/(-3))\/(-2) and (-65)\/(2600\/(-160)) + 6 + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/9? (a) 0.98 (b) -2.6 (c) 16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 3, t: 2, a: 6, l: 1}. Give prob of picking 1 l, 1 a, and 2 t.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -7. Let j(m) = -2*m + 29. Let u be j(15). Let f(i) = -5*i**3 - 2*i - 2. Let n be f(u). Which is the nearest to k? (a) -5 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985328?\nAnswer: 2, 61583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50922295*l**2*y + 102293353*l**2 wrt y.\nAnswer: 50922295*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let p(k) = -202 - 1344*k + 61 + 1346*k. Give g(p(m)).\nAnswer: -6*m + 423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -576341*d**6*y**2 - 16146*d**2*y**2 + 4*d**2 - d*y**2 wrt d?\nAnswer: -69160920*d**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69.3816 - 0.0816. What is q rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 164558294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 10. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 115109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*j + 195*j = -62432. What is j rounded to the nearest one thousand?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 - 117 = 0. Suppose -v = -3*i + 52. Let k(q) = -2*q. Calculate the remainder when i is divided by k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)\/u**(-9)*(u*(((u**(6\/13)*u*u)\/u)\/u)\/u)\/u*u*u*u\/(u\/u**(2\/13)) assuming u is positive.\nAnswer: u**(125\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z + 43. Let p be (-30)\/1*12\/z. Let u = 96 + p. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*p - 84*p - 17224 + 8705 + 8519.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4750\/(-15))\/(-10)*-6*(-16)\/80.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 2*w**4 + 2*w**4 + (2*w**2 - 2*w**2 + w**2)*(0*w**2 - 2*w**2 + 0*w**2) - 3*w**2 - w**4 + 3*w**2 + (4*w**3 - 4*w**3 + 6*w**3)*(w - 2*w + 3*w).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-8)\/(-136)*(-102)\/(-36)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 9*d - 12. Calculate c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766.9258 decades to millennia.\nAnswer: 7.669258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170489\/14570 - -2\/1457. Which is smaller: i or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 1. Let t be 0 + -8 + 2 + 4. Let b be (10 - 4)\/(t + 2 + -2). Let n(q) = 2*q + 2. Give b*n(g) + 4*s(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2. Let w(v) = -19*v**2 + 29*v. Give w(a(q)).\nAnswer: -76*q**4 + 58*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -790157, -3161251, -7113075, -12645629, -19758913, -28452927?\n\"Answer: -790365*h**2 + h + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 135 - 9*q**3 - 135.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**7\/840 - y**5\/30 - y**3\/3 - 4*y**2. Let v(t) be the first derivative of o(t). Find the second derivative of v(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 25, 0*q = 5*k - q - 1430. Suppose -2*n = -2353 - k. What is n rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcch when four letters picked without replacement from {c: 5, h: 7, p: 3, k: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34941 divided by 3?\nAnswer: 11647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2686 and 73\/20.\nAnswer: 26860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + 4 + y + 0*y. Let o = -188203 - -188196. Give w(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.4? (a) -0.02 (b) -3\/5 (c) -5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/(f**2\/f)*(f**(-4))**(-29) assuming f is positive.\nAnswer: f**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4\/7 + 6550*f**3\/7 + 760004*f**2 - 70126464*f\/7 + 118920384\/7 = 0.\nAnswer: -1644, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 1407798 take away 0.032?\nAnswer: 1407797.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.069 + -1.189. Let x = -0.977 - d. Let f = 0.142917 - x. Round f to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 58*h = -109362 + 490791. What are the prime factors of h?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5045 = -f + 5*m, -15*f = -16*f - m - 5075. Round f to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18*(-1)\/8 + (-2 - 0). Which is the closest to 1? (a) l (b) -5 (c) -7\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25072551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i + 375 - 69 + 936 = 0 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f + 78 = -2*f. Let x(r) = 10*r**3 - 2*r**2 - 2*r. Let s(n) = -50*n**3 + 11*n**2 + 11*n. Calculate f*s(y) - 11*x(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c**3 + 2*c + 23*c**3 - 3*c - 5*c**3 - 7 to the form u*c**3 + x*c**2 + a*c + d and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f + 89*f + 7649 = 2303 - 1962 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 + 568*p**3 - 8540*p**2 + 30432*p - 22464 = 0. What is p?\nAnswer: -156, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 859 = -2*j + 2527. What are the prime factors of j?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*p - 73. Let w = p - 36. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 = h, j + 10*h - 5*h = 19. Suppose j*n - 5 = 2*t + 7, 0 = -3*t - 3*n. Which is smaller: -9\/10 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2977 - -952633\/320. What is the common denominator of 37\/448 and n?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2178291650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*(-15)\/(-5). Suppose 3*y = -j*k - 3, 3*y - 4*k + 5 = -16. Is ((-1)\/y)\/((-1)\/(-45)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*s + 7 = s, 3*s - 7 = n. Let g be 4\/(-2) + 3 + -1. Suppose 3*f = -g*f + 12. Solve -f*p - a = 17, -n*p = 2*a + a + 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 6*z**2 - 8*z - 6. Let a be i(-7). Let f be ((-6)\/12)\/(2\/8). Let g be 3 - -2*f\/3. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a factor of 7849618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1203280*a**2 + a - 1203282*a**2 + 3*a**4 - 5*a + 3 to q + u*a**2 + k*a + l*a**4 + o*a**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 246769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17882781937+411.2\nAnswer: -17882781525.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:37 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrwwwwrwtiwrwtwr. What is prob of picking 2 r and 1 t?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -4*r. Let a be 4\/6 - (-2)\/6. Let t = a - r. Solve 2*o + 6 = -t*h - 8, 0 = 2*h + 2*o + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v - 1. Let q(z) = -z. Let x be q(7). Let k(b) be the third derivative of -1\/6*b**3 + 12*b**2 + 0*b + 0 + 1\/6*b**4. Give x*k(g) + 6*p(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*h = -146*h - 1973 + 215 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 4*n = 497*n + 20958 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -63*m - 63. Let y be r(-1). Which is bigger: y or 1\/2173?\nAnswer: 1\/2173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.049959. What is m rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/11, 0.3, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bddb - -39?\nAnswer: -bda2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f. Suppose -3*w + 0*w + 9 = 0. Suppose -1 = -4*l - r + w, 2*r = -5*l + 2. Let a(c) = -l*c + 2*c - 3*c. Give q(a(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from haaah?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 42, 72, 98, 114, 114, 92?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 584a + -8?\nAnswer: 5842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6022\/(-10)*(-35)\/(-14). Let o = -1552 - p. What is the common denominator of o and 35\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 19 (c) 638 (d) -6\/7 (e) -0.3 (f) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(-4*b**2 + 0 + 0 + 4 + 2*b**2 - 4 + (4*b + 3*b - 6*b)*(-4*b - 9 + 9)) in the form w + q*b**2 + d*b and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2230*o**4 - 22*o**2 + 39.\nAnswer: 53520*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120500000 rounded to the nearest 1000000?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 0, 117 in increasing order.\nAnswer: 0, 2, 7, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042 divided by 32?\nAnswer: 1521\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3824)\/34)\/(-4) + (-4)\/34. Is k <= 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 5 + 9*b - 3. Let s(l) be the first derivative of l**2\/2 + l + 953. Give -n(r) + 3*s(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-2) + -7)*(6 + 219\/(-36)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/24*6*7638. Suppose -f = -19*j - 0*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 + 341.72\nAnswer: 341.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1 (b) -1\/6 (c) -2\/24031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 45 - (250 - (-161 + 375))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -1.3. Let v be -2 - (-2)\/(60\/78). Which is the nearest to h? (a) v (b) -1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448\/48*(3 + 0 - 0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 672.7 and -27.60302508.\nAnswer: 645.09697492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 3706*z - 94343. Calculate c(26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k + 13. Let n(j) be the second derivative of -j**3\/3 - 3*j**2\/2 + 2*j. Let r(q) = -6*l(q) - 26*n(q). Let y(x) = x**2. Calculate r(y(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 23515.38cm?\nAnswer: 235.1538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675 + 4700 = -1036*l + 1231 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**3 - 2*w**2 - 2. Let i be c(2). Let d(s) = s**3 - 7*s**2 + 8*s + 6. Let y be d(6). Calculate the highest common factor of i and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1650209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (-1 - (0 + 3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -48. Let f be 2*(-4)\/16*(v + 2). Which is the second biggest value? (a) 1\/4 (b) 7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97837, 97834, 97831, 97828, 97825, 97822?\nAnswer: 97819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let c(j) = 13*j**2 - 4*j. Let n(w) = c(w) + 2*k(w). Let u(x) = -x**2 - 2*x**2 - 3*x**2 + 4*x**2. What is u(n(q))?\nAnswer: -242*q**4 + 176*q**3 - 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17798 + -17799. Let u(x) = -2*x - 3. Let z be u(-2). Sort z, i, 0.011.\nAnswer: i, 0.011, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*s**4 + 3*s**3 - 1561*s**2 - 3127776*s wrt s.\nAnswer: -1044*s**2 + 18*s - 3122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1279*u**2 - 616*u**2 + 156*u**2.\nAnswer: -1739*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 127933198 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 5*d + 16. Let h be r(-6). Suppose -b + 7 = 36. Let z = h - b. Solve z - 9 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 23*s - 120. Determine i(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (15 + 9) - (-17 + 10).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 17*z. Let a be w(1). Let y be (a - 2) + 0\/3. Let p = 69 - 69. Is p at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95142172 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9340.994021 - 9341. What is b rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 1159*x + 11615\/2.\nAnswer: -(x - 2323)*(x + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-12))\/l**19*(l\/l**(-2\/57)*l)\/(((l\/((l*l**22)\/l))\/l)\/l) assuming l is positive.\nAnswer: l**(1085\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392043283?\nAnswer: 17, 23, 3560213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206952836?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyy when three letters picked without replacement from llyylyyyflyfyflrly.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1292\/18 + 4\/18. Suppose 0*d = 6*d - 24. Sort d, n, 2 in decreasing order.\nAnswer: n, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 8*v**2 - 19*v**2 + 8*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16565 + -9325. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.7, -2\/3, 3\/19406?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2274087 to three dps.\nAnswer: -0.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162.77 + 162.47. Which is the closest to -2? (a) f (b) 3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**3 + 2*c**2 + 2*c + 3. Let h be o(-4). Let g = -1711\/6 - h. What is the common denominator of 56\/5 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38814 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 7*w - 39 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 11 - (-5 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 15*b + 16*b**2 - 12*b + 3 - 3.\nAnswer: 10*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 88 = -3*q, 0 = q + 3*c - 38 + 2. Suppose -2*b = b - q. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 - 5 = -4*r. Let u = 46 + r. Calculate the lowest common multiple of 6 and ((-2)\/(-6))\/((-16)\/(-12) - u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -43, -70, -97, -124, -151?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 799722814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174 + 3656\/21. Let s = -13\/84 - a. Let w(m) = 12*m - 908. Let d be w(76). Put 3, d, s in ascending order.\nAnswer: s, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 37.92. Let q = 1.2394 - t. Let y = 0.15 - q. What is y rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - -66592421004\nAnswer: 66592421024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*n - 5 - 2, 0 = 4*m - 4*n + 16. Let y = 59 - -64. Let x = y - 116. Which is the closest to m? (a) -1\/6 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/(-28) + 2\/7. Let y = 5.1 + -12.9. Let l = -8 - y. What is the nearest to -2 in 0.4, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:42 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48613809*x**3 + 3*x - 1047523512 with respect to x.\nAnswer: 145841427*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - t - 3*t + 8 = 0, -4*t = 12. Suppose -2*g = r - 0*g - 105, l*r - g = 525. Suppose 2*c + r = 5*c. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82776 <= -82823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 19320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -314.\nAnswer: -31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 2. Let m be v(-2). Let s(h) = h**3 - 29*h**2 - 4*h + 126. Let d be s(29). Sort m, -3, d in ascending order.\nAnswer: m, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-3 + -1 + sqrt(704) - sqrt(704) - sqrt(704)) + -2 + -5*(sqrt(704) + 0 + 2))**2.\nAnswer: 1872*sqrt(11) + 57193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + -5 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let w(x) = x + 19. Let z be w(-14). Let c(k) = 3*k - 4*k - z*k. Determine c(f(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z - 1. Let x(n) = -29*n + 36*n - 10*n. Give g(x(k)).\nAnswer: 36*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9*l = 216. Is 298*(l\/(-12) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/63)\/(j*j**23) assuming j is positive.\nAnswer: j**(-1510\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agaadgga. What is prob of sequence gag?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-874.\nAnswer: 9614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 33. Suppose j*a = 13*a + 128. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohoh. What is prob of sequence hoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 6*l**2 + 5*l + 4. Let a be b(5). Let w = 364 + -385. Let g be ((-96)\/56)\/(6\/w). Solve -a*f = -2*f - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + -1*sqrt(1029))\/(sqrt(7) + 3*sqrt(28)\/sqrt(4) + sqrt(7)) + -1 + 4 + sqrt(192)*-2)**2.\nAnswer: -516*sqrt(3)\/5 + 22413\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(2*r**3 + r**3 - 2*r**3) + (3*r - 3*r + r)*(-r**2 + 3 - 3) + 28*r**3 + 30*r**3 - 61*r**3 + 3.\nAnswer: -3*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 288095221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - i + 2*i)*(-2*i + 2*i + 2*i) + 0*i**2 - 2*i**2 + 8*i**2 + (-4*i + i + 4*i)*(0*i - i + 2*i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2064 and 645.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2872 and 1\/738463.\nAnswer: 5907704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 8*i + 2. Let r(o) = 2*o - 10. Let s = 11 + 1. Calculate the remainder when y(-6) is divided by r(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 10320344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z**2 - 10733*z + 21478. Calculate q(2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxottxtdooooxxtxo. What is prob of sequence xxtx?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 10 + z - 34*z - 3*z as q*z + a and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*k - 12*k - 5*k + (-3 + 5 + 2)*(-2*k - 3*k + 3*k) as s*k + y and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1053) + 0 + -4 + 3)*4)**2.\nAnswer: 576*sqrt(13) + 16912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3)\/(-5) - 864\/(-810)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*r - 4*r + 22*r + 32 + 72*r**2 - 20*r**3 = 0 for r.\nAnswer: 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5614*p**5 + 3*p - 106.\nAnswer: 112280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + 6 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m*m\/m**(2\/5)*m)*m**(2\/19)*m)\/(m**11\/m**(-11)))**(1\/6))**37 assuming m is positive.\nAnswer: m**(-86099\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1472776396 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -37, 6 in ascending order.\nAnswer: -37, 0, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kppk when four letters picked without replacement from pkppppkkppp?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.407057166.\nAnswer: 0.0814114332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 12*s**2 + 9*s - 24. Let o be a(-11). What is the nearest to 1\/10 in 1, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(982*w**2 - 4228*w**2 + 1227*w**2).\nAnswer: -4038*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12252348809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2204313000 (base 5) to base 13\nAnswer: ca89b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s - 10*s - 27*s)*(-1 + s**4 + 1).\nAnswer: -22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*y + 176256 = 152*y - 1683*y for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from {r: 3, u: 1, m: 1, w: 2, i: 1, l: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -27144?\nAnswer: 17\/4524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - p**3 - 19*p - 9 - 9 + 20 + 0*p**2 to the form m*p**2 + g*p + a*p**3 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2. Let l(v) = -v**2 + 3*v + 10. Let x be 5 - ((-4)\/(-18) - 20\/90). Let h be l(x). Let n(s) = 6*s - 9*s + 0*s + h*s. Give d(n(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 3:29 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) -0.5 (c) 0.07 (d) 340 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 37. Let u(p) = -p**3 - 19*p**2 - 17*p + 30. Does 4 divide u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/7)\/u)**(-31) assuming u is positive.\nAnswer: u**(403\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(sqrt(11) + sqrt(121)\/sqrt(11) + sqrt(11)) - (sqrt(11) - sqrt(99)\/(sqrt(9) + sqrt(9)*3)))*6.\nAnswer: 585*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and 1\/13656.\nAnswer: 13656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - w = 7*f + 381, 5*f = -4*w + 1932. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 2*y**2 - y**2 - 26*y.\nAnswer: -2*y**2 - 26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 13 = 4*m, 3*v + 6 = 3*m. Solve -4 - 5 = 3*i - m*b, 0 = 3*i + 3*b - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -2, -32289, 2 in ascending order.\nAnswer: -32289, -11, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 611*t + 8 + 6*t - 1 - 8 to l + r*t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232 + 335. Is 1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -9, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**10\/55440 + j**9\/16632 - j**8\/18480 - j**4\/6 + j. Let r(q) be the third derivative of d(q). Factor r(b).\nAnswer: -2*b**3*(b - 1)*(3*b - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -29. Let l be 32\/h - 2\/(-7). Calculate the remainder when 25\/l*(1 - 5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 37500.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 8 = -4*j. Let g be ((-1)\/(-8))\/((-5)\/j). Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (345\/2415 + (-93)\/63)*(1796\/16 + 1)\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5951 in 37.8, -0.4, -3\/2, 2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9459076 by 429958.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(243) + 1) + 4*sqrt(243)*-1)**2.\nAnswer: -54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560 (base 14) in base 6?\nAnswer: -25344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-13)\/2. Suppose 4*o - 194 = -n - n, 5*n + 15 = 0. Suppose -r = -t*r + o. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o**4 - 480*o**3 - 360*o**2 + 1920*o + 1296 = 0 for o.\nAnswer: -2, -2\/3, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10647, -15851, -15615, -9939, 1177, 17733, 39729?\n\"Answer: 2720*f**2 - 13364*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -79, -244, -559, -1072, -1831, -2884?\nAnswer: -4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*c = -5*c + 20, 0 = 2*c - 8. Suppose -5*r + 11 = -2*r + w, 2*r - 4*w - 12 = f. Let h(k) = 10*k - 5. Is h(r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 499096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:22 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2.4, -0.4, 3.\nAnswer: -0.4, 2.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznznznznn. Give prob of sequence nzzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d - 0?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 59. What is j(10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + n**2 + 2*n + 3. Let t be j(-2). Let r = 27 - t. Let c(h) = 2*h - 3. Let u(w) = 5*w - 8. What is r*c(q) - 3*u(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 18 - -11)*(-154)\/(-2). Let j be 3480\/28 - 2\/7. Suppose n + i = j. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -249 - -244. Let x(z) = -99*z + 70. What are the prime factors of x(p)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:33 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from {q: 1, d: 12, t: 7}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/34 and 91\/850.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.3. Let i = q + -0.1. Let x = i - -1.1. Which is the smallest value? (a) x (b) 3\/2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:59 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 468 - 279. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -563*h**3 - 125*h**3 + 55*h + 150*h + 211*h + 210*h wrt h?\nAnswer: -4128*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2 - 10*z + 36. Let s(f) = -10*f**2 - 11*f + 36. Let h(b) = 4*s(b) - 5*w(b). Find the first derivative of h(r) wrt r.\nAnswer: 10*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 256. Let v = p - -652\/5. Find y such that 2\/5*y**3 - v*y + 2\/5 - 2\/5*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158510 divided by 5?\nAnswer: 31702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15405 = 3*s - 16371. Let c be (-8)\/(-20) - s\/(-20). Suppose -4*f + 3*d = -c, 5*f - 3*d - 129 = 532. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 6*t**2 - 9*t - 10. Let w(a) = -a**3 + 5*a**2 + a - 12. Let n be w(5). Let r be g(n). Solve -10 = 4*z - r*l - 2, -11 = -5*z - 2*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 11*r + 6*r + 25 = 0, 0 = -3*i + 2*r. Let h = -10\/39 + 12\/13. Suppose 0 + 0*w - h*w**i = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 12*y**2 - 4*y - 28. Let b be x(-12). Let v(k) = -k**2 + 20*k + 10. What is the units digit of v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvmmvvava. Give prob of picking 1 m, 2 a, and 1 v.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19652 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33440073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1465*q**2 - 1864*q wrt q.\nAnswer: 2930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 6. Suppose 6*g - 59 + 17 = 0. Calculate v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*t - 8838, 0 = -5*y + 3*y - 3*t - 5892. Let u = 356464\/121 + y. Let q = -355\/484 + u. Which is the closest to 0? (a) q (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-56)\/6)\/(-1) + (-4)\/(-6). Let i be 6\/o + (-104)\/40. Suppose 7 = -2*w - 4*d - 3, 0 = -4*w - 5*d - 11. Put i, w, 0 in decreasing order.\nAnswer: w, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1}. What is prob of sequence gy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -56 (b) -1 (c) 1.7 (d) -5 (e) -1\/2 (f) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 6064\nAnswer: -606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**5 + d**4 - 2719*d**3 - 119*d**2 + 64.\nAnswer: 240*d**2 + 24*d - 16314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/2 + u**3 + 343*u**2\/2 - 514*u + 342 = 0. What is u?\nAnswer: -19, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 61 - 77. Suppose d*o = 23*o - 2175. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2538445 is divided by 5128?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = -2*k, 2*n + 4*k = -3*n - 15. Let x = -2 - -1.99. Let c = 1035 + -1034.7. What is the biggest value in x, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255 + 257. Let x = -209 + 72. Let f be 2\/12 - x\/6. Solve 2*l = 3*p - f, 7*p - 3*l - 37 = s*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(720) + (sqrt(720) - (sqrt(720) + 1 + sqrt(720) + 4))**2 - 6*(sqrt(720) + (sqrt(720) - (sqrt(720) + 1) - sqrt(720)))) + 4.\nAnswer: -1498 - 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 1156*w**3\/3 - 316069*w**2\/3 - 3516490*w.\nAnswer: -w*(w - 593)**2*(w + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 5*g**2 + 8*g. Determine h(6).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11100222021102 (base 3) to base 10\nAnswer: -2322065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3743 <= -6\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose -q*i + u = 3*i - 13, i = -3*u - 7. Which is the smallest value? (a) 0 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = v + 5*a + 59, 0 = -4*v - 4*a + 608. Let b = -37 + v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 183 = k, 7*k - 710 = 3*k - 2*b. Suppose -5*s + 17 = -k. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12703365 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4 - 3*c - 1 - 4 + c. Let v(o) be the third derivative of o**5\/30 + o**3\/6 - 2*o**2. Let f be v(-1). Calculate z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 99 - x - 98 + 481 - 99 - 89.\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttststsst. What is prob of picking 1 s and 1 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-2)\/4*(1 + 1). Is 6\/(-8) + (1029\/12 - p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 865\/11 - 16849\/220. Calculate the common denominator of j and -3 + (108\/(-16) - 0\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 4*v + 27. Let f be w(10). Let s = -42 + 59. What is the highest common divisor of s and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.002*134.581\nAnswer: -0.269162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 18.32 (b) 8\/19 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -681843a2?\nAnswer: 681843a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.3 - 0.01?\nAnswer: -191.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 - 45852*x**3 + 21*x**2 + 320946*x - 275112 = 0. What is x?\nAnswer: -15284, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r**2 + 4*r + 11. Let v be x(-3). Let u = -38 - v. Suppose -5*a = -9*a + u. Is 20 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9839 - -511683\/52. Let u = -363\/112 - -111\/14. Find the common denominator of n and u.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3 = -2*v, -3*v - 200*h - 50 + 20 = -199*h for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -81*n**3 + n**2 + n - 1. Let t be z(-1). Let p(o) = o**2 - 5720. Let a be p(0). Let j = a - t. What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - 20\/(-6). Factor -54*f**p + 51*f**2 - 3*f - 3 + 3*f - 9 + 15*f**4.\nAnswer: 3*(f - 2)*(f - 1)**2*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(4*23\/(-46))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3 - 9*h**2\/2 + 6*h + 13. Suppose z(v) = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (4 - (-3)\/(6\/2)). Let a(b) = -b**3 - 11*b**2 + 12*b + 3. Let t be a(-12). Let g = o + t. What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:09 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-5))\/(40 - (-9090)\/(-225)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/4 + 12055*w\/4 + 1173843\/2 = 0.\nAnswer: -11857, -198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*h + 41, -h + 0*h = 5*g - 277. Let z = g - 55. Let f(p) = 23*p - 2. What is the remainder when 60 is divided by f(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -465, -471, -479, -489, -501?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-10)*2)\/((-6)\/(-75)). Let k = i - -70. Calculate the least common multiple of 12 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55755, 111552, 167349, 223146, 278943, 334740?\nAnswer: 390537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/12 and -133\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 - 2 - (-6 - -2). Suppose 0*p - 4*p = v. Let b be 1\/2 - 14\/p. Solve -3*a + 3*z + 15 = 0, 2*a - z = b*z + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 r when four letters picked without replacement from ffrrrfhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.628 + 1.787. Round j to 0 dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, c: 2}. What is prob of sequence wwwc?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 38 = -2*i, -62416*i - 209 = -62415*i + 17*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5445) + sqrt(5445))**2*4*2*-5 + -2*((sqrt(5445) - (-1 + sqrt(5445))) + -5)**2*-6.\nAnswer: -871048 + 5280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 700 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 11*c. Let w = -5 + -3. Suppose 8*o + 8 = 4*o. Put o, c, w in decreasing order.\nAnswer: c, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 9, -4, 3, 0.2, 22, 1 in increasing order.\nAnswer: -26, -4, 0.2, 1, 3, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(15\/(-30)*5))\/(((-567)\/(-30))\/9).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10866221 - -17?\nAnswer: -10866203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7780 is divided by 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 - 4237. Let x be o(0). Let t = x + 42423\/10. Let n = -190\/43 - -5717\/817. What is the common denominator of n and t?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -115 in descending order.\nAnswer: 4, 3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1421122 - 0?\nAnswer: -1421122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((2\/4)\/((-2)\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 324, 420, 432, 360, 204, -36, -360?\n\"Answer: -42*y**2 + 222*y + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 37, 42, 49, 58?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + 0 + sqrt(153))**2.\nAnswer: 24*sqrt(17) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/8775*(-518646)\/4. Let v = m - -3\/650. Let d = v + -44. Which is smaller: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 315*w + 15117. Let j be a(-48). Put -7, j, -1, -6, -2 in descending order.\nAnswer: -1, -2, j, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.01*0.5.\nAnswer: 10.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1349, 1353, 1355, 1355, 1353, 1349, 1343?\n\"Answer: -b**2 + 7*b + 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(132)*2*1)\/(-2*(-1*sqrt(972) - sqrt(972))*-6).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -69*f + 544. Let j(i) = -201*i - 997. Let n be j(-5). Calculate k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 9 + 73 + -12.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - 0) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let h = 0 + r. Is 9 a factor of (2 - h) + 0 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6817, 27355, 61585, 109507, 171121, 246427, 335425?\nAnswer: 438115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 844955944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 869\/3 + -46063\/159. Let v = -984.7 - -35.5. Let k = 949 + v. Which is the biggest value? (a) -3 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*h = 32*h + 4403. What is the lowest common multiple of 4 and h?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -216*r**2 + 9945*r - 395. Calculate f(46).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 125*y. Let d(g) = 2*g**2 + 24954*g. Calculate d(l(h)).\nAnswer: 31250*h**2 + 3119250*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -20*l - 20. Let x(k) = 13*k + 13. Let g(t) = 5*w(t) + 7*x(t). Is g(-4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvllv. Give prob of picking 2 v and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 11*v**4 - 7*v**3 - 11*v**2 + 3*v = 0.\nAnswer: -3, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*-8082)\/(-72 + 70)?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155 - 527*r + 174 - 329 to the form y*r + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*15\/(-1200))\/(-1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100393 - -100392. Let d = -6 + 15. Suppose -5*n = 3*f + 6, -4*n - 4*f = -3*f + d. Put -4, n, w in descending order.\nAnswer: w, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + l**2)*(-3*l**3 + 3*l**3 - 5*l**3) + 3*l**2 - 2*l**5 - 3*l**2 - 104518*l**2 + 376*l**5 + 104518*l**2.\nAnswer: 369*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1523044087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1140 divide 35341111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 22. Let b = 23 - c. Let j(z) = -4*z**3 - 6*z**2 + 6*z - 6. Let t(p) = 3*p**3 + 5*p**2 - 5*p + 5. Determine b*j(s) - 6*t(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 (base 7) in base 12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -13. Let c = 22.999995 + u. What is c rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + ((-792)\/54)\/(-11)*9\/2. Let k = -6 - -1. Put k, 7, g in decreasing order.\nAnswer: 7, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*j**3 + 162*j**2 + 2.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -24*g**3 - g**2 - 3*g - 2. List the prime factors of h(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16209158 and 243187.\nAnswer: 4963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -169, -4, 1\/4, -1\/426?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2 + 8. Suppose i + d*i = 0. Let h be (-15)\/6 - (-18)\/(8 + -2). Put -1, i, h in decreasing order.\nAnswer: h, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 30 + 6437\/410.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3 - 80*m**2 - 1 + 80*m**2. Let i(w) = 35*w + 49. Let q(z) = 3*z + 4. Let j(f) = -4*i(f) + 49*q(f). Calculate j(g(d)).\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q**2 - 1. Let x be (-3 - -3) + -1 + 0. Let k be s(x). Let t = 51 + -52. What is the nearest to k in 2\/19, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52660358 and 9572?\nAnswer: 4786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/20 + 5*v**4\/4 + 5*v**3\/2 + 21*v**2\/2 - 7*v. Let g be n(-14). Solve g = 4*d - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 316 = 132. Suppose y - 5*m = 3*y - l, y = 5*m + 2. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48375*a*q**3 - a*q**2 + 13*a - 23*q**2 - 2 wrt q?\nAnswer: -290250*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p)**(-3\/11) assuming p is positive.\nAnswer: p**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:05 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25e1 (base 16) to base 5\nAnswer: 302242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326 and 978.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 209177*d - 627530\/3.\nAnswer: -(d - 627530)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 6:55 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by -198.\nAnswer: 19\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 738934180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021584162 less than 0.0978273?\nAnswer: 0.076243138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 20 = 0. Suppose r*a + 3*s = 105, 2*s + 1 = -1. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 51. Let h be (-7)\/u - 2\/(-6). Factor h - 1\/5*n + 1\/5*n**2.\nAnswer: n*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(((-20)\/3)\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180630?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {e: 6, p: 1, x: 1, q: 2, w: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193320.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 12*k - 57, 4*o - 174*k + 175*k = 37 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/8, 2\/247, -1.6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*x + 4 - 1 + 15*x - 32*x wrt x?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 699735373 to the nearest integer?\nAnswer: 26453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3894?\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286 - 60. Let k(w) = -v*w + 416*w + 5 - 216*w + w**2. Let g be k(26). Solve 2*n + 0*n = -g*y - 13, 6 = -2*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -410b517?\nAnswer: 410b51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t - 10*t + 95*t + 256 = 0. Let l(p) = -p + 1. Let v(j) = -j - 2. Suppose a = -a - 2. Let k(q) = a*v(q) - 4*l(q). What is k(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let b(k) = -173*k - 1. Give b(m(v)).\nAnswer: 173*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68716.08cm in micrometers?\nAnswer: 687160800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/144 + (-564)\/(-27). Suppose 65 = i*h - 19. What is the nearest to 1 in 1, -0.2, 0, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -357*z - 1067. Let a be l(-3). Let i(w) = 41*w + 4. Let s(j) = 41*j + 3. What is a*s(d) - 3*i(d)?\nAnswer: 41*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 631995 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201132 (base 4) in base 5?\nAnswer: 1043101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -1316, -2925, -5174, -8063, -11592?\nAnswer: -15761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1421 - -1?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 45 = 13. Let s(b) be the first derivative of -5*b**2\/2 + 5*b + 1. Let i(v) = 26*v - 26. What is n*s(r) + 3*i(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26830 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from eitvvtvvivvvv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7847, 62270, 209835, 497114, 970679?\n\"Answer: 7762*d**3 - d**2 + 92*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -8 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*t - 130 = 0, 1 = -3*t + 2*t. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436262.\nAnswer: 2, 218131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 8*i**2 + 9*i + 9. Give n(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 19*h**2 + 12*h - 22. Let x = 42 + -59. What is the units digit of s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 108*p**2 - 1059*p + 688. Determine x(117).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 155328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 258 + -150. What is the highest common divisor of 60 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1399 - -3?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*r - 196 - 398 = 0, r = -2*f + 407. Suppose -3*q = -s + f, 0 = -0*s - 4*s - 4*q + 728. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 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 r = 27 - 26. Let a be (-12)\/9 - (-20)\/(-3). Let p be (1 + 7\/a)*-3. What is the third biggest value in 1\/6, p, r, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/m*m*m\/(m*(m\/((m\/m**8)\/m))\/m*m))\/((m\/m**(-7\/5))\/m**0)*(m**(1\/5)\/m*m**(-4))**(-30) assuming m is positive.\nAnswer: m**(628\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) - (-68)\/12. Let r(v) = v + 2. Let z be r(-2). Solve m - k*c + 4*c = z, -c = m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -7\/404 (c) 0.1 (d) -2\/25 (e) 3\/5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1205979, -1205973, -1205967, -1205961, -1205955, -1205949?\n\"Answer: 6*r - 1205985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 130 - 20. Let l be k\/(-5) + (-10)\/25. Solve -16 = -0*h + l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 6*k, -3*t = -t + 3*t + 2*k - 0*k - 4*k - 68 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4 + 5210*d**3*u**3 - 13*d**3*u**2 - 231*d**2*u - 7*d**2 - 119*d*u**3 wrt d?\nAnswer: 24*d + 31260*u**3 - 78*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**2 + 10*l - 1. Let z be d(-4). Let v = z - 129. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z - 130*z - 135*z.\nAnswer: -234*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 8*y, -4*y + 15 - 79 = r. Which is the nearest to r? (a) -0.4 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2898904 = 65*t + 3175309 - 7867300. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 462, 1046, 1864?\nAnswer: 2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*q**2)*(262*q + 189*q - 99*q + 288*q + 36*q) as s*q**2 + i*q**3 + u + k*q and give i.\nAnswer: 2028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202 - 109*d**2 + 195 - 4*d**2 - 597 + 205 + 27*d**2.\nAnswer: -86*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 645 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*g = 184*g + 4. Solve -g*h = -19*h + 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7)*p*p**(2\/21)*(p*p**(-1\/2)*p)**17)**(-11) assuming p is positive.\nAnswer: p**(-9515\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h - h**3 + 4*h + h + 4 + 62*h**4 + 54*h**4 - 121*h**4 - 3*h**2 to the form i + y*h + z*h**2 + b*h**3 + s*h**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3552318 and 18634.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 13 = g + 3*s, -5*g - 3*s = -23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -363 and -598939754633.\nAnswer: -598939754996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 123*f - 556. Give k(-42).\nAnswer: 1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 219 times 630\nAnswer: 137970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 10) to base 2.\nAnswer: -1111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.02. Let k = -1.42 - h. Let v = k + 1.5. Which is smaller: v or 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -775 + 779. Suppose 4*j - z*r = 6536, -41*r + 36*r = -3*j + 4894. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 16*d - 20. Let z be v(-6). Suppose -u + z*u - 3 = -3*a, -a - 9 = -4*u. Which is smaller: 22\/37 or u?\nAnswer: 22\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-18)\/(-36)). Put d, 9, 2 in ascending order.\nAnswer: d, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s. Let g(c) = 95*c**2 - 35*c - 35. Let h(k) = 8*k**2 - 3*k - 3. Let m(d) = 3*g(d) - 35*h(d). Calculate m(t(u)).\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48334295 or 48334292?\nAnswer: 48334295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*i - 68 = 0, -152*u + 92 = -147*u - 2*i. Solve 13*x + 8 + u = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1331? (a) -0.02 (b) -3 (c) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 40 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/116 - 6\/29. Let x = 0.6 - 5.6. Let o be ((64\/(-400))\/((-18)\/(-90)))\/8. Which is the closest to u? (a) x (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6\/5)*(6 + (-455)\/70)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3370 + 3371. Let j(v) be the first derivative of 3*v**2\/2 - 4. Give j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 - 83. Let m = o + -39. Which is the nearest to -2? (a) m (b) 1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.32 + -0.12. What is the second biggest value in i, -0.5, 4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide ((-45069)\/1629)\/(2\/(-396))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/7 + 39766*u**2\/7 - 5944032*u + 1516185216 = 0 for u.\nAnswer: -20891, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 5, -2 in decreasing order.\nAnswer: 166, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 5, -71, -11\/4 in descending order.\nAnswer: 5, 1, -2, -11\/4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, n: 1}. What is prob of sequence yny?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301 + -163. Let z = d - 277\/2. Put 4\/9, -0.2, z, -0.1 in increasing order.\nAnswer: z, -0.2, -0.1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 15*q**2 + 16*q - 8. Let g be x(16). Let w be (-2)\/4 - 20\/g. Suppose w*d - 2*y = 308, 4*d - 987 = -3*y - 343. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 13*w + 9 = 0, u = -3*w + 4144. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 777372.7ml to litres.\nAnswer: 777.3727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 43 + (8475 - 8450).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -135, -71, -1?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319 is divided by 263?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 2)*(t**2 + 2*t**3 + 2*t**2 - 4*t**3).\nAnswer: 14*t**3 - 21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 0.0151.\nAnswer: -0.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 6:04 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 - -0.02. Let z = -1 - 3. Let w = 10 - 15. Which is the nearest to 0? (a) w (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 35*m - 31827\/8*m**2 + 5 - 103\/4*m**3 - 1\/16*m**4. Let f(u) = 0. What is u?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -0.03, -753, -4, -206 in increasing order.\nAnswer: -753, -206, -4, -0.26, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5890303l?\nAnswer: 589.0303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -770330, 2, -3\/13 in descending order.\nAnswer: 2, -3\/13, -770330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53677\/18 - 2983. Find the common denominator of -97\/50 and d.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37.4 from -2933408989.\nAnswer: -2933409026.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -b + 24, 3*x - 68 - 28 = -3*b. Let k = -7 - -27. Let a(h) = -k*h - 15*h + b*h. Let n(s) = -5*s. What is a(n(d))?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, 58, 1005, 2852, 5899, 10446, 16793, 25240?\nAnswer: 36087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4 - 29*p**2 - 11*p - 28*p**2 + 5*p**3 - 6 + 54*p**2 - 2*p**3 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7177, -28828, -64919, -115450, -180421, -259832?\n\"Answer: -7220*o**2 + 9*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.199479394 to 3 decimal places.\nAnswer: -0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168528.\nAnswer: 2, 3, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357*i**4 - 426*i**3*p - 2*i**3 - 159*i**2 - 15*i*p - 5*i - p wrt i?\nAnswer: -8568*i - 2556*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -35. Sort 0, 1, o, -8 in descending order.\nAnswer: 1, 0, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/23, 4, 2\/23, -3?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356 (base 7) in base 5?\nAnswer: -4111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 937 and 1888?\nAnswer: 1769056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 19. Let g = -3 - -3. What is the nearest to g in p, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -21*y + 17*y + 344, -2*y = k - 91. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*a - 10*a + 23 + 14*a + 7*a wrt a.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gngykfo. What is prob of sequence ofn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 - 6*f + 2. Let i be u(-6). What is the second derivative of -12*b**2 - 8*b - 8*b**i + 17*b**2 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*z - 18, 2*z - 4 = 2. Suppose -k*d + 1 = 19. Let b(a) = -2*a - 9. Let r be b(d). Solve r*x + x = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181 times -0.4\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3 - -8) + -23 + (-1 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*i - 84*i - 73*i - 15*i.\nAnswer: -448*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112 or -123?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 13*y - 54. Let x(a) = a**2 - 10*a + 5. Calculate x(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 211763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53508463?\nAnswer: 53508463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 139720*u - 40. Let z be r(-9). Let y(w) = -507503*w + 5. Let b be y(-5). Let n = z + b. Round n to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12356 + 12356.2. What is the third smallest value in -3\/8, j, -2\/331?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 1 - 10*t - 5*t + 5 + 11*t + 1. Give q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 4*f**2 - 6*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 775547 and 1?\nAnswer: 775546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - 60. Which is the second biggest value? (a) -5 (b) 0.3 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 9131*m - 31 = 9127*m, -9*h - 5*m - 197 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4 + 5*q**2 - 1 + 7*q - q - 2*q. Let g(r) = r**2 + 5*r. Let b be g(-4). Is f(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 1:17 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-2*j - 3*j + 3*j) + (4 + 1 - 3)*(j - 1 + 1) - 7080*j - 11497177 + 11497177 - 1 - j - 3*j + 6*j to the form m + y*j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 6 + 0 - 7 + 6*b wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21012 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 63, 13*d - 37 + 297 = -l - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -105 (b) -2\/5 (c) 1 (d) -3 (e) -0.04 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/2 + 39*h**4 + 1015*h**3 + 8778*h**2 - 24975*h\/2 - 309825 = 0.\nAnswer: -30, -27, -17, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -348. Let k = -151 + q. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/20 + z**4\/12 - 7*z**3\/2 + 7*z**2\/2 + 3*z - 860. Give j(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 - (4 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*l + 3*b + 69, -5*b = -3*l - 69. Let c be 45\/(0 - 4\/2). Let p = c - l. What is the nearest to -1 in 0.3, p, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 1. Suppose 6*h - 4 - 26 = 0. Let a(z) = 2*z - 5. Determine h*t(q) + a(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*z = -15, 2*z = 2*k - 3*z + 25. Let i = 53 - 475\/9. Which is the nearest to k? (a) i (b) 2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 2*u. Let i = -1 + -7. Let c be u\/(-8) - 106\/i. Is 2\/5 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4055 + -12151\/3. What is the common denominator of v and -107\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*m**2*u**2 - l**3*m*u + 2*l**2*m*u**3 + 12*l*m**2 - m**2*u**3 - 11*m*u**3 wrt m?\nAnswer: -4*l**3*u**2 + 24*l - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*s**3 - 476*s**3 + 104*s**3.\nAnswer: -675*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 - 7*u + 6. Suppose -5*i = 5*o, 3*i - 1 = -o + 9. Let q be n(i). Let f = 6 + -4. Which is the biggest value? (a) f (b) q (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 3542688.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 40 + 47 + 50 = 6*j, 18 = -6*b for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -22*t - 205. Let u be v(-10). Suppose 0 = i + y, 0 = -5*i - 3*y - 11 + u. Sort 0.27, 1\/2, -2, i.\nAnswer: -2, 0.27, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 682 + -377. Let x = r - 138. Let t = x + -79. What is the highest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -16 + 0*q**4 + 5*q**3 + 15\/7*q**7 + 0*q**6 + 0*q**2 + 0*q + 0*q**5. Find the third derivative of v(k) wrt k.\nAnswer: 1800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 + 3.24. Let d = 0.14 - t. What is the closest to 1.3 in d, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 175. Calculate the highest common divisor of 25 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 - 3 - 23*c + 15*c + 3 wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/7 - 44750*x**2\/7 + 71513696*x + 1001370752\/7.\nAnswer: (x - 22376)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + f**2 + f - 1. Let m be u(1). Is (3 + m)\/2 - -290 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13010 by -26.\nAnswer: 6505\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15786*a + 489342. What is p(-31)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let b(v) = 216*v + 43. Let d(x) = 108*x + 21. Let i(t) = 4*b(t) - 9*d(t). Let m(p) = i(p) + 2*r(p). Is m(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19412624 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -372*l**3 - l + 1. Is 21 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53028, 53091, 53178, 53289, 53424, 53583?\nAnswer: 53766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 134 = 2*t - 5*r, -t + 5*r = -48. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252 (base 7) to base 3\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 181 - 72\/8 - -5. Let c = 199 - v. Solve 3*z - c = -7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -2, 5, 128 in descending order.\nAnswer: 128, 9, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40105420 - 2694580 = 2*x. What is x rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) 8\/10331 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3)*k)**(4\/5))**(-2\/73) assuming k is positive.\nAnswer: k**(-8\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2a4 (base 11) to base 4.\nAnswer: 3111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 11*o - 1986. Let r = o - 155. What is the highest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 840\/(-350)*(-2)\/6. What is the second biggest value in h, -0.07, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18872038?\nAnswer: 2, 9436019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - x = 11 - 1, -5*x = -2*f - 2. Let a = 4 + 1. Let v(q) = -q + 4. Let w be v(3). Solve -a*h + 4*i = -13 - 18, 5*h + f*i = -w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53372.\nAnswer: 2, 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 12 - (0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4066 times -20\nAnswer: 81320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83366723393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5120 divided by -80\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*((((o*o\/(o*((o**(-19)*o)\/o)\/o*o))\/o)\/o*o)\/o)\/o*o\/(o*o*o**(-42)\/o)*o*o\/(o\/(o\/((o*o**(9\/13))\/o)))*o**(2\/11)\/o assuming o is positive.\nAnswer: o**(8793\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**1*h*h))**48*(h**1)**(1\/8))\/(((h**(2\/11)\/h)\/h)\/h*h**(-6))**6 assuming h is positive.\nAnswer: h**(-12229\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.137 * 0.1\nAnswer: 0.6137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19836487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 22, 57, 108, 175?\n\"Answer: 8*z**2 - 5*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036318 rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {u: 2, c: 2, t: 1, l: 13, e: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 44*r + 178. Determine f(-47).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -249 * 0.4\nAnswer: -99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-2640)\/(-168) + (-268)\/140.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -251, -252, -241, -212, -159, -76?\n\"Answer: m**3 - 8*m - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-138)\/1*74\/6. Let s = r - -3020. Let a = s - 398. Round a to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:36 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -312929.67 to the nearest one thousand.\nAnswer: -313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -133, 0, -93, 3, -1 in decreasing order.\nAnswer: 3, 0, -1, -4, -93, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 7\/(-28)*(7 + -63)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-4) - (-126)\/56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -1209 - 167. Let w = c - -369. What is the remainder when 422 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281, -567, -853, -1139?\n\"Answer: -286*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (444\/(-666))\/((-1)\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 190*r**3 + 2505*r**2 - 13300*r + 24500.\nAnswer: 5*(r - 14)**2*(r - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.142? (a) 3\/7 (b) 0.4 (c) 0 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.00593 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1503253 + 42091090\/4509759. Solve 4*y + 1\/3*y**2 - r = 0.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 + 743 = 12*k. Suppose 41*o + 21 = k*o. Solve -o*f = -x + 1, 3*x + 2*f + 9 = -f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/1 - (-2172 - 36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 + 40748*h**4 + 2288400*h**3 - 4902752*h**2 - 9153568*h + 18959040 = 0.\nAnswer: -58, -2, 2, 20430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26bb1 (base 13) to base 11.\nAnswer: 4a364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010111 (base 2) in base 8?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 12*x - 10*x + 9*i, -2*i = -3*x - 56 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 185461571+-74\nAnswer: 185461497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26463*k**4 + 63*k - 305.\nAnswer: -317556*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 + h - 2. Let i(u) = -u + 22. What is the least common multiple of i(12) and j(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from tebt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1456 = -14*n + n. What is the remainder when n is divided by 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50 - -27?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 12 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 4*a**2 + 71*a + 13. Suppose -f = -0*f - 6. Let y = f + 0. What is the remainder when w(-7) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30264145.\nAnswer: 5, 101, 59929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 65. Find the third derivative of -4*h - 9*h - 3*h**3 + 9*h**2 + p*h wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37744 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m. Suppose m = -2*u + 32 + 198. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - ((-1 - 3) + 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 100200, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/396664 and 42\/1834571.\nAnswer: 14676568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -11603900 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17731\/9 + -1975. What is the common denominator of f and -89\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46010, 46137, 46372, 46733, 47238, 47905, 48752, 49797?\n\"Answer: 3*u**3 + 36*u**2 - 2*u + 45973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2 + 3)\/(1\/13). Solve -16 = -4*d + g, -5*d + p = -2*g - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -k - 3*k. Suppose -16 = -k*j + 4. Let v(y) = -y**2 + 16429*y + 147947. Let t be v(-9). Solve 0 = 5*c + z + j*z, -t*z - 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 2*i + (-2 + 3 - 2)*(-15*i + i - 10*i)*(-4 + 3 + 0).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = 6. Let z be w*(0 - 1\/5). Let s = 0.7 + 0.3. What is the smallest value in s, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 1\/4, -12\/13, 5 in ascending order.\nAnswer: -102, -12\/13, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/42*-214 - (-2956)\/(-5173).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13915623085*x + 3*x**2 - 13915623085*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 16.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -40 (b) -18\/7 (c) 2\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16.563114 hours?\nAnswer: 0.69012975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*j + 6 = 0, 0*j = -j. Suppose -n*p = 12 - 27. What is the nearest to -0.1 in -3\/4, -0.9, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 345131736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4009920 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:22 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, 4, 3 in increasing order.\nAnswer: -3, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(11) - sqrt(33)\/sqrt(3))*2)**2*4.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*s - 1788*s - 244*s - 791*s to o + j*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 92*z + 5. Let j be i(-2). Let q be (-92*(-4)\/8 + 3)*-2. Let n = q - j. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 51, 3755, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t*t*t\/((t*t\/(t*(t\/t**(10\/11))\/t))\/t)*t))))\/t)**(-24)*(t**(-24))**18 assuming t is positive.\nAnswer: t**(-3672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 12:40 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllflllllllllllfll. Give prob of sequence lfll.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -5792.49 and -5366.\nAnswer: -11158.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1181 + -1381.6. What is u rounded to the nearest integer?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**0)\/v)*v)\/(v\/v**4))**(-42) assuming v is positive.\nAnswer: v**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a. Suppose 135*k - 140*k + 5 = 0. Let y(c) = c**3 + 5*c**2 - 4*c. Give k*y(n) - 5*m(n).\nAnswer: n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -2. Let k(p) be the second derivative of p**4\/6 - p**3\/6 - p**2\/2 - 2*p. What are the prime factors of k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5690, 0, 4, 21 in descending order.\nAnswer: 21, 4, 0, -5690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.5 (b) -2\/9 (c) -1 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - s**2 + 3*s - 2. Let w be b(2). Suppose -2*c - w = -3*c. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.67 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9605*z - 1075797. Determine h(112).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 + 17*t - 17. Let z(p) = p**2 - p + 1. Let x(r) = w(r) + 6*z(r). Let d be x(-12). Let n(h) = -1 - 3*h + h - 5*h. Calculate n(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45310 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 39 = -11*o. Suppose 0 = -o*k + 1081 - 217. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttza. Give prob of picking 1 a, 1 t, and 1 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzfccfkz. What is prob of sequence jz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 4*n**3 + 2*n**3)*((0 + 1 + 1)*(3 + 2 - 4) + (13 - 5 + 31)*(9 + 8 - 7)).\nAnswer: 784*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 14) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*t - 2885 = -48061, 135528 = 3*n + t. Let a = -29176 + n. What is a rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 31 - 11. Suppose 4*w + w = d*o - 35, 0 = -4*o + w + 23. Solve 0 = -5*u + 4*u + 5*g + 13, -5*g - 5 = -o*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y - 2. Let d be b(-3). Let r = -35\/2 - d. Sort r, -5\/3, 2 in descending order.\nAnswer: 2, r, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 16. Let d(w) be the third derivative of w**6\/120 - 7*w**5\/60 + 13*w**4\/24 - 5*w**3\/6 - 2*w**2 + 14*w. Let r be d(y). Is r at most as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.097081 less than 976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 0.02 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0077 + 0.0077. Which is the smallest value? (a) q (b) -2\/19 (c) -1\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5034504 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x + 139. Let v be y(-27). Let p(q) be the second derivative of -2\/3*q**3 + 0*q**2 + 1\/12*q**v + 0 + q. What is the second derivative of p(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184475877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322429866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 8*f**2 + 7*f + 6. Let o be a(-7). Suppose -o*h + 3*h = 0. Factor h*u + 0*u**2 + 1\/2*u**3 + 0.\nAnswer: u**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 227 = -209 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.601763214 to 3 dps.\nAnswer: 2.602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.24 (b) 184\/3 (c) -6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7454 + -7453.9. Let y = 0.4 - -1.6. Which is the fourth biggest value? (a) y (b) 0.07 (c) -2\/13 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from nnnvnnmnnmynnnnknmvn.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7492633600*r**4 + 14985613440*r**3 + 7493326084*r**2 + 346248*r + 4.\nAnswer: 4*(r + 1)**2*(43280*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u, 4*v + u = 8. Solve v*t = -6, -a - 2*a + t = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/55 - ((-72)\/63)\/(10\/(-7)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s**2 - 32*s - 5. Is 3 a factor of j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (398*(-62 - 5))\/(-2). Let i = x + -8378. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -102, -5, 34, -3, 3, 0 in ascending order.\nAnswer: -102, -5, -3, 0, 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(33)\/sqrt(3).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 + 0*b**2)*(2*b**3 - 9 + 9 + (3 - 3 + 2*b)*(b**2 - b**2 + 2*b**2) - 4*b**3 + 2*b**3 + 9*b**3 + (1 + 0 + 0)*(-b**3 + b**3 + b**3)).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19945 is divided by 2027?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3220 or -3196?\nAnswer: -3196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.041 + 0.041054. Round q to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 108, 72, 22?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -46931 divided by 94\nAnswer: -46931\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -83*g**2 + g - 2. Let l be i(-2). Let s be (l\/(-5))\/(18\/180). Suppose y + s = 2*z - y, 2*z + 3*y = 647. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - (0 + 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*t - 524 = 83*t + 424 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 41. Let u = w - 5. Which is the nearest to 0.1? (a) 5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 8*p - 7*p + 1)*(-1 + 0 + 3)*((3*p**2 - 3*p**2 + p**2)*(5*p - 2*p - p) + 9*p**3 - 9*p**3 + 10*p**3).\nAnswer: 48*p**4 + 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17644, -17646, -17658, -17686, -17736, -17814?\n\"Answer: -m**3 + m**2 + 2*m - 17646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + -2*sqrt(5))**2.\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/6)*z)\/(z**(1\/2)\/z)*(z*(z*z*z\/(z*z*z**(-1\/4)*z))\/z*z)**(-39) assuming z is positive.\nAnswer: z**(-553\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -21*q**5\/20 - q**4\/6 + q**2\/2 + q. Let j be (2\/(-4))\/(2\/4). Is h(j) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 107*z**2 + 1353*z - 4751. Give n(93).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = -3*x - 338. Let j = -153 - x. Suppose -3*w = 2*h - 3*h - j, -86 = -3*w + 2*h. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21803*m + 7610*m - 5392*m to the form r + w*m and give w.\nAnswer: 24021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1111011101001 (base 2) to base 10\nAnswer: -7913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627*k - 18 = 2*m - 623*k, 14 = -2*k. Solve 69*n - m = 74*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 15, 4, -1369, -4 in increasing order.\nAnswer: -1369, -4, -2, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -11*m - 2. What is the common denominator of (m - 34\/12)\/(2\/3) and -85\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1001110100100101110?\nAnswer: 1001110100100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**3 + 0*j**3 - 19*j**3.\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5093 + -5093. Let r be (1\/165)\/((-1261)\/(-2052)). Let t = 2\/485 + r. Is t at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1804387012 to the nearest integer?\nAnswer: 42478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1110 + -773. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = -15, 5*b = -3*n + 19. What is the second smallest value in 0.5, b, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57609, -115218, -172827, -230436, -288045, -345654?\nAnswer: -403263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16a3ab (base 14) to base 3\nAnswer: 1111110120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -104d?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 503668731 to the power of 1\/3, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 13*j**2 - 20*j - 7. Let x be u(-14). Let m = -61 + x. What is the greatest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.684 - 1.796.\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -71. Suppose -494 + d = -5*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/9 - 43642*h**4\/9 + 396340*h**3 - 40526228*h**2\/9 + 102862186*h\/9 + 48999706\/3 = 0. What is h?\nAnswer: -1, 7, 69, 21739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1089 = o - 4*o. Let i = o - 211. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 10*y**2 + 11*y - 5. Suppose 36*r = 136 + 260. Determine w(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948, -1898, -2834, -3750, -4640, -5498?\nAnswer: -6318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 4*q - 2*q + (-5 + 2 + 2)*(-q - q + q) - 164*q - 2*q - 5*q to the form r + a*q and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 u when three letters picked without replacement from {u: 1, f: 1, t: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -15. Suppose -2*d = d + 6. Is (p\/1 - -15) + d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 940*t**2 + 952*t + 1888.\nAnswer: -4*(t - 2)*(t + 1)*(t + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -3*m - 56, -3*m - 55 = -5*t. Which is the third smallest value? (a) 1 (b) -2\/13 (c) m (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110757 + 3041*g**2 - 110757.\nAnswer: 3041*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 13. Let s be v(-9). Suppose 4*a + s = 6*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(11)*-1 - sqrt(11)))**2 + sqrt(11) + sqrt(44) + 0.\nAnswer: 3*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wegynnqgyngnn. Give prob of sequence yg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4160 and 2880.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*t - o, 93*t - 23 = 97*t - 3*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 + 2123*h**2 - 2094*h**2 + 11*h - 12*h)*(-4 + 2 + 3).\nAnswer: 4*h**4 + 29*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -1 + 25\/6*a**4 + 16\/15*a**5 - 4\/3*a**2 - 7\/3*a**6 - 16\/9*a**3 + 0*a. Let l(u) = 0. Calculate u.\nAnswer: -1, -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 440 - 207. What is the third derivative of h*j**3 + 21*j**4 - 233*j**3 + 10*j**2 + j**4 wrt j?\nAnswer: 528*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - 73) + (1379 - 1418)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 277076.83.\nAnswer: -24936.9147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrojoyooqyoropjooo. What is prob of picking 1 q and 2 r?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 86. Let h be (15\/q)\/((-2)\/20). Let v = 3 + 0. Solve -h = -v*n, -6*r + 2 = -3*r - 2*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1170, -6350, -20568, -48342, -94190, -162630?\nAnswer: -258180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15*q**2 - 15*q - 33. Suppose 23 = 6*z + 5. Suppose 89*l + 7 = 4*k + 86*l, 15 = -z*l. Let u(i) = i**2 - i - 2. Give k*h(b) + 33*u(b).\nAnswer: 3*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-36))\/((-1)\/(-2))*-16349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112265573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + z**3 + 3*z**3 + 9*z**3 + 15*z - 13*z - 3*z**3 + (2*z - 4*z + 6*z)*(-z**2 + 4*z**2 - 5*z**2).\nAnswer: -3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188461 to the power of 1\/2, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 9 = -3*t + l, t - 4*l = -9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23428, 23425, 23422, 23419, 23416, 23413?\n\"Answer: -3*q + 23431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127031*g**2 + 168386*g wrt g.\nAnswer: -254062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 14 = 0, -5*f + 10474 = -217*v + 219*v. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12553444 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 22*b + 27. Is f(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 24 = 36. Solve -2*l - 5 = -3*x, -3*x - 2*l - h*l = -40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 19\/2. Let c = -83.3 - -79. Let i = c + 4. Sort i, p, 4 in descending order.\nAnswer: 4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 727014 - 169164 = 75*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - -7. Is 19 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:41 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2853*z + 82202. Determine b(27).\nAnswer: 5171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 14*m**2 + 15*m - 21. Calculate o(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46482031?\nAnswer: 46482031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046791 times -3?\nAnswer: -0.140373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 4 = -52. Put -1, d, -5, 18 in increasing order.\nAnswer: -5, d, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 6 - (-13 - -64)) + 20 + -76.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v = 190870653 + 203129347. What is v rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*f = -45*f + 80. Let p be 5\/20 - (-116)\/f. Is p greater than or equal to -41\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (60\/(-18))\/((-4)\/132) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 1385282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4409748 from -2.\nAnswer: -4409750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 12440.\nAnswer: 111960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/146 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 571972 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133.6 + -134. What is the smallest value in 0.15, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-45)\/12)\/((-2)\/8). Suppose -x = 5*f - 8*f. Suppose 4*g = -g + 10. What is the remainder when f is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 23. Let b be k(-10). Let f(t) = -t**2 - 7*t - 4. Calculate f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371510 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2990 and 20332.\nAnswer: 101660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 51.31 times 2\nAnswer: 102.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 + h**3 - 3\/2*h**2 + 2*h. Let n(z) = 17*z - 8. Let b(w) = 8*f(w) - 3*n(w). Let u(c) = 2*c. Determine b(u(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = r - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3039005 at most as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + s**5 - 5*s**5 + (2*s**4 + 0 + 0)*(4*s + 24 + 9*s - 15*s) - 5*s**5 + 16*s - 16*s.\nAnswer: -13*s**5 + 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 0 - 8\/3*a**4 + 20\/3*a**3 - 8\/3*a**2.\nAnswer: -4*a**2*(a - 2)*(2*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*o + 9 - 12 + 3 + 0*o.\nAnswer: 37*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2501.4 - 2501. What is the third smallest value in -1, 1, -0.3, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(24) - sqrt(1176))\/sqrt(8)) - (sqrt(768)*1 + sqrt(768))\/sqrt(6).\nAnswer: -97*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -65, -110, -173, -254?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23506 and 16498.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 204 + 218 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61850538?\nAnswer: 2, 3, 919, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517205 is divided by 439?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (-46 - (18 - -3 - 48)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/952 and -41\/4256.\nAnswer: 72352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603 - 11*b + 87 + 102 + 97 + 317.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 2\/3 (b) -1 (c) 0.0174 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1962 divided by 18\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98094*k**3 + 279451*k**2 wrt k?\nAnswer: -588564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137415208 to the nearest integer?\nAnswer: 11722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 1 - 1)*(-4 + 7 - 2) + 0*n**4 - n**4 - 2*n**4 + 2*n**4 - 7*n**4 - 2*n**4.\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = -0*p. Let k be (38\/4)\/(p\/4). Let o = 784 + -651. Calculate the greatest common divisor of k and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.3828331?\nAnswer: -0.3828331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12719 * -2.\nAnswer: -25438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1157 - -1166. Let l = 365 + -360. Which is the nearest to p? (a) l (b) -1\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1583, 2835, 4923, 7847, 11607, 16203, 21635?\nAnswer: 27903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {z: 8, g: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - (-186542)\/(-49374). Let f = t - -1\/2743. Calculate the common denominator of f and (-90)\/675*188\/(-10)*275\/440.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1477726 and 4?\nAnswer: 2955452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 2*m + 3. What is d(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let b = -42 + 42. Differentiate 2 + b + o*a**4 - 1 wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 * 0.2\nAnswer: -82.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.186ug to milligrams.\nAnswer: 0.061186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - -5) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34493651?\nAnswer: 2141, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (20 + (-1 - -17 - 54))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-5) - (-341)\/55. Suppose h*f + f = 1799. What are the prime factors of f?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-17)*l)\/l**(5\/8))**(-27) assuming l is positive.\nAnswer: l**(3375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-336)*(-4)\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14320944 or 14320942?\nAnswer: 14320942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 254*x**2 - x + 3. Let a(w) = 510*w**2 - 2*w + 5. Calculate 4*a(y) - 7*v(y).\nAnswer: 262*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 - -3) + -3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 66*o - 6142. Let j be s(-52). Sort -28, j, 5, 3, -2 in ascending order.\nAnswer: -28, j, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 3\/4 (c) -0.8 (d) -2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:22 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4 - (-64)\/36*-3) + 280\/84?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106.1182 + -0.2182. Round i to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3038\/140 + -7 + -15\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 64, -3, 5, 6, -1 in ascending order.\nAnswer: -3, -2, -1, 5, 6, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0383 times -2622\nAnswer: -100.4226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2432 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.13759 and 0.3.\nAnswer: -5.741277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6214 - 6214 + 255*s.\nAnswer: 255*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**7\/840 - f**6\/360 + 7*f**3\/3 + 8. Let m(o) be the third derivative of z(o). Factor m(v).\nAnswer: v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 8*j = 16, -2*y - 2*j + 458 = 0. Let l = -81 + y. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2160275972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2, 1\/4, -0.203, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188 and 9?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218 + 191. Let t = 35 + q. What is the remainder when 30 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*u + 24 + 221 = -40*u. Solve 7 = -3*z + u*t, 0 = 3*z + 5*t + 80 - 63 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.359 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - (-280)\/45)*45. Is f - 85708\/(-35) - 2\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25161727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -8. Is 3 a factor of u*6*(-5 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/504 + m**6\/80 + 11*m**4\/12 + 10*m. Let z(w) be the third derivative of a(w). Find the second derivative of z(q) wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.8069433 rounded to 0 dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768737?\nAnswer: 199, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.88 to 0 dps.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.93 - -0.73. Which is the closest to 1? (a) 12 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5, -4*h + 9*h + 3*i - 15 = 0. Let d = h + 45. Let o be ((-5)\/d)\/(2\/6). Are o and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = a + 553, -3*a + 7*a = -g - 127. Let z be (-2)\/(-7) - 3524\/(-14). Let u = z + g. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -271\/5. Let y = -12.1 - -1.1. Let r be ((10\/4)\/((-371)\/742))\/(30\/4). Which is the closest to y? (a) r (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.02 + -5882\nAnswer: -5880.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 529 - 445 = 0. Let a(j) = j**2 + 0 - 13 + 7*j + 6. Let u(y) = y**2 + 6*y - 6. Let i(k) = 2*a(k) - 3*u(k). Calculate i(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74242735?\nAnswer: 5, 7, 23, 92227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdgdddidrdedgdggtdti. What is prob of sequence etgg?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-44))\/((-1)\/(-51))*44\/66.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142229.\nAnswer: 41, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Let q(c) = -690*c**2 + 316*c**2 + 241*c**2. Calculate q(s(z)).\nAnswer: -2128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.805 times 0.22\nAnswer: -0.1771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l + 6. Let t(i) = -19*i + 6. Let r(b) = -p(b) + t(b). Let w(y) = 2716*y. Determine r(w(f)).\nAnswer: -10864*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -512864 + 512873. Let a(c) = -24*c. Calculate the remainder when a(-1) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g\/(g*g\/(g\/((g**(-12)*g)\/g))))\/g*g*g*g**(3\/4)*(g*g**(3\/2)*g)**(1\/14) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*u - 74*u = -661130. Is u a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a factor of 5198704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**2 - 2300*o + 264500 = 0.\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 6, t: 7, o: 6}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*k - 47*k**2 + 126*k**3 - 4*k**2 - 84 + 82*k**2 + 92*k**2 + 0*k**4 + 15*k**4 = 0. Calculate k.\nAnswer: -7, -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3*m**5\/40 - 15*m**4\/16 + 5*m**3\/2 + 15*m**2\/8 - 63*m\/8 + 4775. Let u(g) = 0. What is g?\nAnswer: -1, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 0.4, 4, -4, 0.046?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 57 - 2 - (-411 - -492)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 294934*q**4 + 291724?\nAnswer: 1179736*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-6)\/n)\/((((n**(1\/3)\/n*n)\/n)\/n)\/n*n))\/(n**0*(n\/n**(3\/7))\/n))\/(n**(2\/13)\/(n*n*n\/(n*n**(-2\/3))*n))**(-2\/57) assuming n is positive.\nAnswer: n**(-78241\/15561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 8\/(-256)*-212.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/4)\/(88\/(-4)))\/((3999\/(-248))\/43)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*k + 73*k = -3*m + 103, 4*k = -5*m + 160. Let d(z) = -z**3 + 10*z**2 - 5*z - 8. Calculate the remainder when d(7) is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 + 3.08. Let i = 49 + -48.5. Let k = -2\/63 - 40\/63. Which is the third smallest value? (a) k (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 10) in base 8?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*d = 954*d + 888 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = c. Is c greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-4) - ((-9996105)\/84)\/31 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762889 is divided by 254265.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000938193504 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 1557*y**2 + 3*y - 1619*y**2.\nAnswer: -62*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1894 + 7*f**2 - 58*f - 1894 - 12*f**2 as g + v*f + u*f**2 and give v.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 133, -368, -1191, -2324, -3755?\n\"Answer: 2*o**3 - 173*o**2 + 4*o + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**3\/3 - c**2\/2 - 6*c. Let l be m(-3). Solve -2*u = 2*a + 6, u - l*a = -a - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/7 - 369*d**4\/7 + 2109*d**3\/7 - 279*d**2\/7 - 8376*d\/7 - 5616\/7 = 0.\nAnswer: -1, 4, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 + (-1996)\/(-28). Let p(g) = -g**3 + 8*g**2 - 6*g + 12. Let j be p(8). Let h = v + j. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 17. Let g be k(-5). List the prime factors of 1\/(2 - g\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327 and 21?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s - 2*s)*(5*s - 3 + 0 + 2) + (0 + 0 + s)*(0 + 2*s + 0).\nAnswer: -3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 18 = 3*u + 2*s, 5*s - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = -5*s + 10, 2*r - 10 = -s. What is the lowest common multiple of 30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36431924706 - 0.16733?\nAnswer: -36431924706.16733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 - 3*o - 2. Suppose -m + 3*m + 4 = 0. Let d be l(m). Is (-2)\/(-5) + 1092\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 100*p**2 + 230*p - 1151. Give q(52).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 44*r + 86. What is c(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/17)*s**(-4)*s)\/(s*(s*s\/s**(-2\/7))\/s*s)**16 assuming s is positive.\nAnswer: s**(-6599\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17060562 + 4898*b + 17060562 to j*b + l and give j.\nAnswer: 4898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4943 in 21, -0.2, -2\/13, 0.4, 2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**5*d**2 + 35388*b**4*d**2 + b**2*d**2 + 3*b**2*d - 18*b**2 wrt b?\nAnswer: -120*b**2*d**2 + 849312*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 220 - -339?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147695713 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1101 and -444907.\nAnswer: 489842607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:30 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*x - 24 = -347*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/(-14)*2\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 3) to base 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4221660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 2*g**3\/3 - g**2\/2 + 2*g. Let w be n(1). Let c = -6 + 9. Calculate the greatest common divisor of w and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxlx when four letters picked without replacement from {s: 1, x: 10, l: 6}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1382203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4759, 4728, 4705, 4690, 4683, 4684?\nAnswer: 4693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let q(w) = 150275*w. What is y(q(u))?\nAnswer: -22582575625*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/7, 40, -3, 52\/21, 0, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwrwrfwgrfwwrf. Give prob of picking 2 w and 1 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18907, 25947, 32987, 40027, 47067?\n\"Answer: 7040*d + 11867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/691 (b) 18 (c) 4\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:00 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -1. Let z = o - 3. Let l = -4 + z. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + y)*(-13 - 23*y + 5*y + 14*y).\nAnswer: -4*y**2 - 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 434, 457, 480, 503, 526, 549?\n\"Answer: 23*g + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -911*t - 13. Let f(k) = -52*k**2. What is d(f(u))?\nAnswer: 47372*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 53*a**2 - 1. Determine d(2).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(650))\/(sqrt(162) + (1*sqrt(162) - sqrt(162)) + sqrt(162) - sqrt(162)) + -3*(sqrt(832) + -3 + sqrt(832) + 4))**2.\nAnswer: 914*sqrt(13)\/3 + 2715766\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2354.\nAnswer: -4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -15*u**3 - 10*u**2 - 11*u. Let z(n) = -5*n**3 - 3*n**2 - 4*n. Let f(c) = -4*m(c) + 11*z(c). Find the third derivative of f(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3659671 - -6.83\nAnswer: -3659664.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -0.040136\nAnswer: -0.722448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2439 is divided by 2426.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/30 and -11\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 29, 0.3, -1\/3, 0.9 in ascending order.\nAnswer: -1\/3, 0.3, 0.9, 29, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380995677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015 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: Three letters picked without replacement from {c: 8, l: 2}. What is prob of sequence clc?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 7*j**6\/120 - j**3 + 8*j**2. What is the first derivative of b(f) wrt f?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1679d96 (base 14) to base 3.\nAnswer: -202210112112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625948.\nAnswer: 2, 156487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792050482?\nAnswer: 2, 3907, 101363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -11*y**4 + 13873*y**3 - 4530507*y**2 + 97763003*y - 17625406 = 0.\nAnswer: 2\/11, 23, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = -2. Let m(a) = a**3 + a**2 - a + 1. Let q(y) = 5*y - 1 - 5*y**2 + 7*y**3 - 2 + 2*y**2 - 11*y**3. Let v = -1 - 2. Determine l*q(n) + v*m(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5986 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: Let n(v) = -v**3 + 13*v**2 + 17*v - 199. Let q be n(12). Put 2, q, -4 in descending order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w - 3*w)*(-2 + 2*w + 3*w**3 + 2).\nAnswer: -9*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2391 = -294*p + 4959 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*y + 2*y + y + 5*y**3 - 18 wrt y?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.8, 0.259, -5, 1\/3 in decreasing order.\nAnswer: 0.8, 1\/3, 0.259, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36496 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*u + 40, 3*u - y + 9 = -15. Let i = u + 9. Suppose -p = 3*z - 11, -i*z + 0*z = -4. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3140791 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -440 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 8.97. Put o, -3, -5 in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184291, 368597, 552903, 737209, 921515?\nAnswer: 1105821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: 42 (base 15) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 43 - 43)*(0 + 4 - 2)*(236 + 42 - 43) as g*s + f and give g.\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2 (c) -0.3 (d) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -66 times -718\nAnswer: 47388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100160849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 66*i**2 + 107*i + 1345. Let u be p(64). Let r(j) = 60*j + 8. Determine r(u).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -737, -1359, -1977, -2591?\n\"Answer: 2*p**2 - 632*p + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -35*c - 219. What is a(0)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211 + 836 = -9*n + 1795 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48735375 divided by 125.\nAnswer: 389883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100111101101001100 + 100?\nAnswer: -11100111101101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*h + 38*h - 2*v + 52, 0 = -2*h + 3*v + 52. Solve -4*b - c = -6*b + 9, -2*c = -5*b + h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*l + 38, 5 = -2*x - 3*l + 22. Suppose k - 3*n = 14, x = -k - 4*k - 5*n. Let g(p) = -5*p + k*p + 4*p. Let f(q) = -3*q. Give g(f(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4 - 5. Let z be 12\/(-6) + 1\/y. List the prime factors of 1\/((-2)\/(-12)) - z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 0 (c) -3\/7 (d) -82 (e) 11\/3 (f) -1 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5541868, 11083670, 16625470, 22167268, 27709064, 33250858, 38792650?\nAnswer: 44334440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 7*v. Let t(d) = 22*d**2 - 71*d. Determine -11*g(q) - t(q).\nAnswer: -44*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1\/2, -5.08, 1\/24?\nAnswer: -5.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.85 + -0.15. What is the nearest to 1 in 4, -5, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-6)\/(-4))*(68 + -234). List the prime factors of (-5 - w) + 4\/(-1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80244 times 311?\nAnswer: 24955884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 and 26\/65 + (-754)\/60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, u: 2, x: 4, g: 5, c: 1, h: 2}. Give prob of picking 1 g, 1 n, and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/12 - 59*u**5\/15 - 179*u**4\/12 - 22*u**3 + 5*u**2 + u. Solve t(z) = 0 for z.\nAnswer: -22, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -30927 and 18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:28 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 109463 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -173*p**3 + 42*p**2 + 72*p + 2. Let h be q(-2). Round h to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/25)\/(4\/1310). Suppose -3*u - c + 738 = 0, -u = -c - y + 147. What are the prime factors of u?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25693 is divided by 5135?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nttntntttntttttttttt.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*c + 28138 = -17927, -92175 = -6*o - 3*c. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010001 (base 2) to base 10\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.4965\nAnswer: -0.2979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let p(a) = a**3 - 5*a**2 - 2*a - 4. Let o(s) = 5*m(s) + p(s). Suppose -40*i = -52*i + 60. What is o(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a factor of 71201100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 76?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18054 and 38114?\nAnswer: 343026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - 75\/(-65)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*1*1*8. Suppose -340 = -5*y + 4*r, 2*y = 4*r + r + 136. Suppose -2*l - v + o = -0*v, -2*l + 4*v = -y. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -367139 * -0.3.\nAnswer: 110141.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(190\/(-5))*2*-11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 - 2. Let r(x) = -x**3 + 4*x**2 - 3*x - 4. Let k be r(2). What is l(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v - 260*v - 14*v)*(4 - v - 4)*(v**3 - v**3 + 3*v**3 + (6*v - v - 3*v)*(0*v**2 + 3*v**2 - 2*v**2)).\nAnswer: 1410*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Suppose -3*m - 25 = 2*m. Let d = -2 - m. Let a(n) be the first derivative of -n**2 + n - 122. Give d*j(s) + a(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*p**4 + 6*p**3 + 0*p**2 - 109*p**4 + 2*p**2 - 4*p as c*p**4 + t*p**3 + v*p + o + x*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - y - 20, -16058*y + 16060*y - 32 = 4*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 419 divided by -419\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 360\/(-25) + 2\/5. Let b = -7 - s. Let x = b + -5. Solve 0 = x*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362555 is divided by 118925.\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*-219*4\/6. Let c = 308 + b. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51100*f**2 - 10277*f - 2 wrt f.\nAnswer: 102200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 4, r: 4}. What is prob of sequence bbx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 553 = 427 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + (6*(2*sqrt(125) + 4 + sqrt(125) + sqrt(125) + sqrt(125)))**2 + -4)*4.\nAnswer: 28800*sqrt(5) + 452287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 6*m - 37328. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 + 4510*l**2 - 3024*l + 15035. What is v(751)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 9*t - 2. Suppose 9*o + 60 = 3*o. Let a be (6\/10)\/(-1 - 11\/o). Calculate l(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 5:25 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8.7 (b) -2\/3 (c) -65\/6 (d) 13.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.9982 - -56. What is w rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*w**3 + 2 - 3*w**3 + 3*w**3 - w**3 + (-1 + 0 + 2)*(5*w**2 - 5*w**2 - 2*w**3).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.2 + -6.9. Round t to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 1. Let w = -7 - -8. Let l be j(w). Let i be (25\/l)\/((-2)\/(-20)). Calculate the highest common factor of i and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + -2 + sqrt(684) + sqrt(684)*1.\nAnswer: -2 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -534229+5045\nAnswer: -529184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 20787785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2221 - 7369*f**3 + 7374*f**3 - 2221.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 2. Let y be ((-1 - 3) + 3)*1. Let m be i(y). Let l be ((-45)\/10)\/(1\/m). Solve -4*t - l = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25045 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let z(x) = x**2 - 3*x - 37. Let r(a) = 2*q(a) - z(a). Is r(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4672*q**2 + 4672*q**2 - 2 - 8*q**3)*(-11 + 7 + 8).\nAnswer: -32*q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 = -52*l + 1699. Calculate the lowest common multiple of l and (-45)\/((-12)\/8 - 0).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -25373475764?\nAnswer: 25373475764.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - 3*l**2 + 7*l - 5. Give n(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*o + 41, n - 5*o = -0*o + 5. Let a be n\/(-2)*(-16)\/20. Find the first derivative of b - b + 15 - a*b**2 - 14 wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 12*t - 23 = 2*p, p - 26 = -5*t. Which is greater: 13\/1530 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1\/3)*51\/119. Let x = 7.6 + -7. Which is the biggest value? (a) m (b) x (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 334433.8 micrometers?\nAnswer: 0.0003344338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11\/(132\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -65*u + 7. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 420762643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-12)\/(-9)) + 645\/172. Which is the biggest value? (a) -2\/3 (b) -0.4 (c) x (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y - 2. Suppose -8 = y*z, -5*h = -z - 32 - 152. Let g = 166 - 153. What is the remainder when h is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -25, 3, 33, 65?\n\"Answer: i**2 + 23*i - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + 3 + ((-2*sqrt(612))**2 - sqrt(612)) - sqrt(612) - (sqrt(612) - (sqrt(612) + (0 + sqrt(612) + 3)**2)).\nAnswer: 30*sqrt(17) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -360*a + 614*a + 273 + 1505 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134 rounded to four decimal places?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -1\/3, -9\/2.\nAnswer: -9\/2, -3, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 130. Solve -20 = -5*h, k*h = 4*f + 2 + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98937.6 weeks in minutes?\nAnswer: 997291008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = -4*k - 4, -24 = -5*k + o. Suppose k*q = q. Is 4 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-9) + 176\/18. Suppose 0 = k - 6*k + x. Let m be ((-3)\/(k + 1))\/5. What is the second smallest value in m, -1, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15 + -1 - (130 - (50 - -40)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 21*w - 2. Let y(l) = l**2 + 21*l + 3. Let c(v) = 7*t(v) + 6*y(v). What is the hundreds digit of c(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3*(-3 + (-64)\/(-24))). Is x <= 1.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -44400004*m - 4. Let w be b(-1). Suppose -g = g - w. Suppose 0*a = 2*a - g. Round a to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1645468 - -1645465.144276. Let v = a + -0.544246. Let z = -3.4 - v. What is z rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.29 - -5.39. What is the nearest to u in -0.2, -0.4, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + p + 65 - 19 = 0, -5*b + 3*p = -38. Suppose -1 = w + 4*k, 5*w - k = b + 6. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 8*v - 11. Calculate the remainder when s(10) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 14\/75 in descending order.\nAnswer: 3, 14\/75, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.2. Let w = -158418.89 - -158419. Which is the third smallest value? (a) w (b) i (c) -1\/4 (d) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**3 - 2*a**2 + a. Let g be o(1). Suppose -2*m - m - g = 0. Let d(s) = -7*s + 1. What is d(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7347 - -4152.7.\nAnswer: 4151.9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + 40*d - 63. What is t(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -839, -5, 2.\nAnswer: -839, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 19*o**2\/3 + 55*o\/3 - 121.\nAnswer: (o - 3)*(o + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6*j - 16 + 2.\nAnswer: -6*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -101. Solve 2*z = -0 + a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 849840193456\/5661 - 150121920. Let a = 20\/333 - l. Let h = 135 + -1483\/11. What is the common denominator of a and h?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1198748 and 4794992?\nAnswer: 4794992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2. Let w(f) = 202209*f. Calculate p(w(g)).\nAnswer: -163553918724*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*y - 41 = 6*b, -y + 3 = 0. Let j = b - -8. Suppose 4*c = -c + 25. Put c, 3, j in increasing order.\nAnswer: j, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, -191 in descending order.\nAnswer: 2, 1, -2, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*c)*(-2 - 3 + 3) + (2 + 1 + 1)*(2*c + 3*c - c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149877, -149876, -149875, -149874?\nAnswer: -149873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -12 + (-11 - -38) - (65 + 40)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*q, 5*q + 4*v - 5 = 19. Let o be (-2)\/(-2 + q\/3) - -8. What is the second derivative of -8*y**2 - 10*y - 6*y**2 - o*y wrt y?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47608012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 - -763. Let p be (-2 - (-195)\/110)*(-2445 + -1). Let n = p - k. What is the common denominator of n and 62\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-2 + 5)) + -1. Calculate the remainder when 40 is divided by (s - 0) + (-24)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzs. What is prob of picking 1 s and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -1383315.\nAnswer: -124498.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14668, -14672, -14676, -14680, -14684?\nAnswer: -14688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129\/305 or -4854?\nAnswer: -4854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -21*c + 41. Calculate the remainder when 302 is divided by t(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472172751 to the power of 1\/3, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 90*z - 675. Let t(d) = -3*d**2 - 90*d - 675. Let o(q) = -4*t(q) + 3*v(q). Determine c so that o(c) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 36540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -49.9296. Let w = 30.6296 + v. Round w to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = 18*k - 3*k. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2\/27 (c) 3319 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -86*s + 680. Let m be o(4). Calculate the greatest common divisor of 96 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33\/4 + -8. Let h = -0.119 - -0.139. Which is the closest to i? (a) -3\/4 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1174, 4651, 14106, 32527, 62902?\nAnswer: 108219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - 143. Which is the nearest to -0.1? (a) 2\/13 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*m**5 - m**3 - 11*m - 14.\nAnswer: -2060*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 + 11*n**3 - 19 + 1 - 1 + n**3 + (-2*n**2 + 3*n**2 - 3*n**2)*(-3*n + n + 4*n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 7:40 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + y - 2*y**2 + 7 - 6*y**2 + 13*y**2. Let i be a(-5). Suppose 0 = i*o - 5 - 7. Solve -o*b + b = 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from eqjqqxxjqfqxxrj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-6 - (-10 + 58 + 11 + -11)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 2*a**3 + 6*a)*(3*a**2 - 4*a**2 + 5*a**2).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 - 130 - 140 + 16*g - 130 + 617.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**2 - 23712*m = 0.\nAnswer: -5928, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.24, 5, 3\/10, 1\/7 in decreasing order.\nAnswer: 5, 3\/10, 1\/7, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a factor of 5139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210323200 - -200?\nAnswer: -210323000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/266 + 1193\/1064. Let v be (-34)\/2*2 - -1. Calculate the common denominator of (v\/(-4))\/(10\/(-4)) and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*p**2 - 49*p - 25*p**3 + 3*p**2 - 5*p**2 + p**4 + 4*p**2 + 24*p**3 to z*p**3 + c + u*p + y*p**2 + b*p**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kooookoooko.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-15) - 10382\/(-10). Let d be v + 3 + (-2)\/2. Let i = -640 + d. Round i to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*m - 4*q, -14*q + 18*q = -m + 20. What is the nearest to 6 in -1, 2, 0.1, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + 0.52. Let g = j + -0.5. Which is the third biggest value? (a) g (b) -1\/10 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 37. What is the smallest common multiple of (-5 - 450\/(-40)) + (-102)\/24 + 4 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*b + 1, -4*w + 5*b = -0*w - 67. Let c = w - 13. Suppose c = 4*j + 3*k - 8*k - 1218, 5*j - 3*k - 1529 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187838?\nAnswer: 2, 7, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022111 (base 3) in base 11?\nAnswer: -18a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189 + 87. Let z = k - -171. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Let z = 24.012 - 0.012. Let t = -19 + z. Which is the nearest to 0? (a) q (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -9*p - 2088. Suppose -6*s = -0*s - p. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 216. Suppose -5*p + l = p. Suppose -3*i - u = -10, -p = -i + 5*u + 21. Solve 0 = -5*y + i*s + 20, 1 = 3*y + 3*s - 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5085 and 30?\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504668 is divided by 1511?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*a + 4*a + 5*g, 5*a - g = 52. Let w be ((-6)\/(-9))\/(a\/33). Let y be (-1 - (-3 - -1)) + -2. What is the nearest to -2\/11 in w, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0102807235 rounded to five dps?\nAnswer: -0.01028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7437, -4, -23, -1, 1.\nAnswer: -23, -5, -4, -1, 1, 7437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 2. Let h(w) = -1. Let c(q) = -5*h(q) + s(q). Let y be c(5). Suppose y*t - 10 = 0, 0*m = m - 5*t + 17. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m - 15. Let q = -15 - -14. Let y be (0 - -5)*(q*1)\/1. What is the tens digit of l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -0. Suppose 4 = 3*r - b. Suppose -t + 3*d = -20, 4*d = -5*t + r + 22. Calculate the least common multiple of t and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15196 - 15196. Is -1189 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2 + 23 = 0. Let y be (-20)\/(-5) + i + 0 + -18. Let v = y + 9. Which is bigger: -0.5 or v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43464144 by -7244024.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -163, -158, -151, -142?\n\"Answer: x**2 + 2*x - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x + 2. Let t be n(4). Let s = t - 173\/3. Let u = 3 + -2.9. Which is the biggest value? (a) u (b) s (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 2, -2, 1 in ascending order.\nAnswer: -8, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 11:43 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((13 - 3)\/10)\/(2\/(-734)). Let u = -314 - r. Round u to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -24 + (-6 - -3 - -4) + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-4) + (5 - 4) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350263 (base 8) in base 6?\nAnswer: -2314431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 14 = -20. Let p be (b\/6*2)\/(15\/45). Solve 4*t - 7 = p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, 0.4, -52\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/538804 and 143\/16758?\nAnswer: 92135484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*13426.95.\nAnswer: 5370.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/334 and (-55)\/(-66)*(-9)\/(-2).\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9867 + -672. Let d = n + 7339. Round d to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 6*(sqrt(5) + 1) - (sqrt(150)\/sqrt(3))\/sqrt(10).\nAnswer: 6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) 1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiucccic. What is prob of picking 2 i and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 - -243. What is the tens digit of ((-284)\/g)\/(((-15)\/(-18))\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34883.\nAnswer: 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98*(-31)\/1488*-24?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8372 take away 10335.93?\nAnswer: -18707.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (-50 + 44).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -114. What is the second derivative of -39*w - 6*w**4 + 12*w**4 + 7*w**g wrt w?\nAnswer: 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-9\/4))**(-2\/9)\/(j**(4\/15)*j**31) assuming j is positive.\nAnswer: j**(-2879\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/15, -20, 8, -0.1 in decreasing order.\nAnswer: 8, -0.1, -2\/15, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.1*8224706\nAnswer: 41946000.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280*f**2*m*y**2 + f**2*y**2 + 2*f**2*y + 1755*f*m*y**2 - 16*f*m + f*y + 11*f - 5*m*y - 2*y + 5 wrt y?\nAnswer: 560*f**2*m + 2*f**2 + 3510*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 39*v = -5*i - 1, -4*i = -4*v + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 5 (c) 0.1 (d) -15 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -t - 401, 93 = 5*l - 5*t + 728. Let q = l + 133. Let m(s) be the second derivative of -s**5\/20 - 16*s. Let c(z) = 8*z**3. What is q*c(a) + 3*m(a)?\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 108?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*y**5 - 463*y**3 + 3*y**2 + 123342*y?\nAnswer: -440*y**3 - 2778*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28774?\nAnswer: 2, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1644 + -1648. Let b(a) = -5*a**3 - 11*a**2 - 8*a - 11. Let m(k) = 2*k**3 + 4*k**2 + 3*k + 4. Calculate c*b(j) - 11*m(j).\nAnswer: -2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at least 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnoooh. What is prob of sequence no?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + k - 95 = 0, 22*k - 24*k = -s + 30. Calculate the remainder when 859 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 8. Let l(j) = j**3 + 6*j**2 + 5. Let o be l(a). Suppose -o*k + 15 + 15 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:01 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 + 0*k**2 + 16*k**2)*(0 - 2*k + 0) to y*k**2 + z + t*k**3 + g*k and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212333 - 12013233?\nAnswer: -12232232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/36, 0.4, 5, -2.1, -5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = -3*l, 3*l - 3 - 3 = -2*v. Suppose -2*k - 8 = -l*k - d, -4*d + 4 = k. Suppose x - 17 + k = 0. What is the greatest common factor of 91 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxqmfhhhffkfhf. What is prob of picking 1 m, 2 x, and 1 h?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + w**2 - 5*w**2 + (3 - 2*w - 3)*(w - 1 + 1) - 10*w**2 - 5 + 5 in the form c + q*w**2 + y*w and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -15211a?\nAnswer: 152140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2148000 and -173\/12000.\nAnswer: 2148000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -48. Suppose 0 = -3*i + a + 202, 4*i - 6*a - 276 = -3*a. Calculate the remainder when (5 + i\/(-14))\/(2\/574) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*20*(-33)\/4950. Suppose k*d**2 + 0*d - 3\/5 + 0*d**3 - 3\/5*d**4 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 3, 5, -2741?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114, -117, -142, -201, -306?\n\"Answer: -2*j**3 + j**2 + 8*j - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99522 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 15 = -7*y. Suppose 0 = -3*q + 5*c - 0 - y, -4*c = -3*q - 3. Which is greater: -2\/69 or q?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52\/9, 3\/7, -0.3 in descending order.\nAnswer: 3\/7, -0.3, -52\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49066?\nAnswer: 2, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 54. Let o = s + 33. Suppose n = 3*k - 100, -4*k - n + o = -2*k. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - z + 1 = 0, -2*z + 4 - 3 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1646786*m - 5115181 wrt m?\nAnswer: -1646786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-129)\/9 - (-4)\/(-6). Which is greater: s or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.21 + -0.27. Let a = i - -0.06. What is the second biggest value in -5, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 489 - 322?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648256, -648257, -648258, -648259, -648260, -648261?\nAnswer: -648262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -0.0712.\nAnswer: -0.001424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*k = 51*k + 10258 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 21.\nAnswer: -4, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*f. Suppose 0 = 3*u + 2*p - 6*p + 3, -3*p = -9. Solve f*d + u = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18a - 268ba?\nAnswer: -26730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3497 (b) -2\/5 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25213922 is divided by 2521390?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16419 (base 10) to base 4.\nAnswer: 10000203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 18. Let z be s(19). Suppose 20*w - z = 10*w. Factor -6*g + 0*g**2 + 16 + 4*g**3 + 4*g - 14*g - 4*g**w.\nAnswer: 4*(g - 2)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 112. Let i be x(-40). Are i and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 161639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12\/t**6*(t\/(t**(-17)\/t)*t)\/t**22 assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/240 and -111\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2289, 2, -0.07 in decreasing order.\nAnswer: 2, -0.07, -2289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*g*z**3 - 325*g*z**2 - 2*g + z**3 + 7*z**2 + 192 wrt g.\nAnswer: -13*z**3 - 325*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2819256 and 1888?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t**2 - t - 7. Let u be 2 + 2\/(-9) + (-312)\/54. List the prime factors of x(u).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 + 165420*r**3 - 4302321*r**2 + 34587630*r - 80101032 = 0. What is r?\nAnswer: -55166, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*x**4 + x**3 + 293*x**2 - 15*x - 8905564?\nAnswer: 28*x**3 + 3*x**2 + 586*x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1714367 + 8?\nAnswer: 1714374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -0*c - 11*c + 76, 3*l - 2*c = -32. Determine q so that 14\/9*q**4 - 2\/9*q**5 + 20\/9*q - 2*q**3 - 14\/9*q**l + 0 = 0.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -26 + 40. Let t(g) = -637*g**d - 233 + 120 + 113. Let s(w) = -w**2. Calculate s(t(j)).\nAnswer: -405769*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*(21\/1071)\/((-1)\/(-3))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11100111100000?\nAnswer: -11100111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 57*j - 3. Let i(m) = -3*m + 79. Let h be i(26). Let g be q(h). What is the derivative of 4 + 28 + g*v - 89*v wrt v?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 29*p + 60. Let r be b(12). Suppose -7*m + 708 + 811 = r. List the prime factors of m.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:35 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25769715, -25769698, -25769681, -25769664, -25769647, -25769630?\nAnswer: -25769613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-2) - 5)\/(-1 - 1). Suppose -1755 - 1587 = -p*z. Find the second derivative of -h + 540*h**5 - z*h**5 - 3*h wrt h.\nAnswer: -340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14005?\nAnswer: 5, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8.7 * 10950.68\nAnswer: 95270.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243089469 to the power of 1\/3, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -10. Let w(s) = 4*s**2 + 5*s**2 - z*s**2. Let b(k) = -k**2. Give w(b(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 - 7 + 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -490 - -489. Let b be ((-1)\/(-2)*d)\/(3\/(-6)). Suppose -o = -3*o. Solve -m - b + 0 = o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/13 - 48*q**4\/13 - 1802*q**3\/13 + 1848*q**2\/13 = 0. Calculate q.\nAnswer: -21, 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2801, 22402, 75613, 179240, 350089, 604966, 960677, 1434028?\n\"Answer: 2801*u**3 - u**2 - 3*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 3185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100445.\nAnswer: 5, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 14*k - 106. Suppose k*p = -9*p. Let -6\/7*l**3 + 4\/7*l**4 + 6\/7*l**5 + 0 + p*l - 4\/7*l**2 = 0. What is l?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2875835986 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-277 + 316)*8\/12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a hour in seconds?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 smaller than 5\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -526a086 + -2?\nAnswer: -526a088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*p**2 - 6*p**2 - 116499 + 115480 + 4*p**2)*(0 + 2 - 4) as d*p**2 + k*p + h and give h.\nAnswer: 2038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -348 - -369. Sort a, -11, 5.\nAnswer: -11, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577800 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 350 + -310. Let h = 236 - 212. Calculate the remainder when x is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827769*w + 1655539*w - 827764*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-2844)\/(-2528))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n**5 - 276*n**4 + 5877*n**3 + 110694*n**2 + 43320*n = 0. Calculate n.\nAnswer: -19, -2\/5, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 96*x + 2 - 25*x - 146*x - 5 + 76*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424356 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = t + 2*y, y = 3*t + 1. Calculate the least common multiple of ((-165)\/3)\/t + (-4 - 1) and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/4 - (1 + 2). Let s = -1 + 0.9. Let k = 6 - 4. What is the nearest to 2\/3 in n, k, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854291 divided by -1?\nAnswer: -854291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(26)\/(sqrt(6)\/sqrt(3)) + sqrt(13) + 4 + 4)**2*-1.\nAnswer: -580 - 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252234117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(46*p - 199*p - 182*p + (-3 + 3 + p)*(-5 + 4 + 2)).\nAnswer: -668*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/120 + a**5\/30 - a**4\/12 - a**3\/6 + 58*a**2. Let u be o(3). What is the second biggest value in u, -3\/2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -3\/4 (c) -4 (d) 0.3 (e) -2\/161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*n + 3*w + 12, 3*n - 2*w = -12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18037138 - 79237138. What is n rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -154b8 - -1?\nAnswer: -154b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5, 2, 2\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -143204, -286416, -429632, -572852, -716076, -859304?\n\"Answer: -2*n**2 - 143206*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(2 + 0)\/4. What is the closest to d in 0, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44875 is divided by 371?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 267*l - 5 = 278*l, -u + l = -3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, 2\/17, -6, -0.1, -125.5, 1, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -144983*p**3 - 222178*p**3 + 0*p**2 - 1 + 2*p**2 - 252838*p**3. Let f be g(-1). Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, 4, -104, -1 in ascending order.\nAnswer: -104, -2, -1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 20. Let u(k) = -k**2 - 4*k - 5. Let t be u(-6). Let g be q(t). Find the third derivative of 2*d**2 - d**3 - 2*d**3 + 3*d**g - 4*d**6 wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2081498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m**2 - 2*m - 1. Suppose -z + 5 = k, 2*z = -5*k - 40 + 59. Suppose 3*d + k*d + 6 = 0. Calculate o(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -1 - 7. Put f, -1, 2 in decreasing order.\nAnswer: 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from iixxxx?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 167. What is the remainder when v(-62) is divided by 154?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (780 - 1221 - 1080 - 5*l)*((6*l - 3*l - 2*l)*(-3 + 1 + 0) - l - 2*l + 0*l) to z*l + r*l**2 + n and give z.\nAnswer: 7605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + -5.2. Let i = -6.8 - z. Which is the nearest to -0.1? (a) i (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 29. Let g(i) = 2*i + 6. Determine -15*g(y) + 5*p(y).\nAnswer: 15*y + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103995.5 + -105647957.\nAnswer: -105543961.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*z + 17 - 7 = 0, 3*z = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.7 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgaa when four letters picked without replacement from gagggagtaaaapaggapn?\nAnswer: 49\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*l + 103*l = 223*l - 806 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*p + 5*p - 126, 3*i + 105 = 4*p. What is the lowest common multiple of p and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*a + 28 = 99*a. Solve -5*z - a = -2*n, -z - 2*n = -7*n - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3785 - 1534. List the prime factors of x.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqqnqqqq. Give prob of sequence qqqq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 2*s)*((-443 + 204 - 422)*(-4*s + 5*s + 4*s) + 2*s - 4*s + s).\nAnswer: -6612*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*-797991\nAnswer: 1595982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 9. Let a be u(5). Let l(r) = 3*r - 6. Let y(d) = -1. Let s(q) = -l(q) + 3*y(q). Let i(f) = f - 1. Let t(v) = 6*i(v) + s(v). What is t(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 0, 295691, -7.\nAnswer: -23, -7, -4, 0, 295691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 23 - 4*s**2 + 2*s**2 as v + o*s**2 + h*s and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353.9*-13.\nAnswer: 4600.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -283.74? (a) 0.5 (b) -4\/3 (c) -2\/15 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1082689278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 762820569 to the power of 1\/3, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1111100001101011001000 (base 2) to base 11\nAnswer: 232aa10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/2 - 101*i**4\/2 + 1583*i**3 - 14907*i**2 + 29025*i\/2 + 449307\/2 = 0. Calculate i.\nAnswer: -3, 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 5*o**2 + 2*o + 5. Suppose -5 = -3*y + 1. Suppose 16 = 2*b + y*b. Let s(p) = p**2 - 5*p - 1. Let j be s(b). Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r + 3. Let o be v(0). Suppose 0 - 18 = -o*c. Suppose 0 + c = 2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*c**2 + 176*c**2 + 154*c**2.\nAnswer: 728*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 14478.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -67*r**2 - 36*r + 4. Give d(1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7928635mm?\nAnswer: 0.0007928635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144765 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + k)*(-k**2 + 3*k**2 - k**2)*(-75*k - 1332*k - 1129*k).\nAnswer: -5072*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/21 and -66\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (22 - (-6 + 12 - 3)) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:30 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -58, -108, -200, -346, -558, -848, -1228?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*c + 1, 1 = 4*h - 2*c - 13. Suppose -h*b + 3*j + 13 = -3, 0 = -5*b - 3*j - 2. Suppose -4*k + 5998 = -b*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 2\/5, 1125\/7, 3\/10 in decreasing order.\nAnswer: 1125\/7, 2\/5, 3\/10, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.39343 grams to micrograms.\nAnswer: 91393430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008717 rounded to six dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r - 12*r - 16*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1463, 1462, 1461, 1460, 1459, 1458?\n\"Answer: -y + 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -412424?\nAnswer: 412436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1202123 (base 5) to base 10\nAnswer: -22163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*(-320)\/400. Let z(n) = 124*n + 244. Calculate z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (-24 - -13) + -16 - 62\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.164 and -190.7.\nAnswer: -31.2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 29130?\nAnswer: 29130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27742\/5044)\/(165\/6))\/(5\/(-3)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*f - 17 + 1, -5*v + 2*f + 57 = 0. Suppose 0 = v*g + 405 - 1175. Calculate the least common multiple of 7 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 116 + 2825*k**2 - 10 to the form s + b*k + a*k**2 and give a.\nAnswer: 2825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = 5. Suppose p*f - 9 = -4*i + 15, -4*f = -i - 14. Solve 33 = f*s - 5*k, 2*s + k = 6*s - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 132, 2, -0.1, 4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 28. Let i(y) = y + 1. Give 4*i(h) - s(h).\nAnswer: 4*h - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*h**5)*(3 - 1 + 0) + 789654*h**2 + 1857*h**5 - 789654*h**2.\nAnswer: 1853*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3 - 3. Let r = 49 + -42.2. Let n = r + -7.8. Which is the closest to n? (a) l (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1601857*i**2 + 41111603 wrt i?\nAnswer: -3203714*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/17 + 594*z\/17 + 1052.\nAnswer: 2*(z + 34)*(z + 263)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 490, 489, 488, 487?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhh when three letters picked without replacement from {h: 3, y: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 2241.8883.\nAnswer: 2241.8583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (6 + 2 - (-80 - -125))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 - -96. Suppose -j*q - 1343 = -6*q - y, -5*q + 1678 = 2*y. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 6:02 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 12*c**2 - 14*c + 6. Let w be g(13). Let b = 61 - w. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.5 - 10.5. Which is the nearest to 2\/9? (a) -4\/3 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*h**2 - 12*h**2 + 14*h**2 to m + y*h + f*h**2 and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * 0.057.\nAnswer: -0.01311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534738 + 635454 = 2*q - 5*v, -4*q - v + 2340362 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3770 + 1?\nAnswer: -376c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 116465*s + 2327300.\nAnswer: 5*(s - 23273)*(s - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 3*v**2 + v - 6. What is p(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 139*g - 523. What is the units digit of y(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, x: 5, c: 4, g: 1}. Give prob of picking 3 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.8. What is the closest to 1\/3 in -0.3, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**3\/3 - 404. Let s(k) = k. Suppose 0*i = 2*i + 4. Let m(g) = -8*g. Let c(t) = i*m(t) - 14*s(t). Calculate c(n(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 - 1804720*c**3\/3 + 814300490968*c**2\/3 - 14113321876160*c + 183467897915952.\nAnswer: (c - 902334)**2*(c - 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w*w\/(w\/(w*w**(1\/4)*w))*w)\/w)\/w))\/w*w)**(-2\/5) assuming w is positive.\nAnswer: sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 41. Suppose 5 = 2*l - 17. Calculate the remainder when y is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315555221 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-12)*o*o**(-11\/5)*o*o*(o**(-15\/7))**(-48))**15 assuming o is positive.\nAnswer: o**(9729\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1582*d - 47*d**2 + 132*d**2 + 31*d**2 - 1582*d + 110*d**2 + 14*d**2.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**2 + 6*h - 11. Let w be d(4). Find the common denominator of 3 + -5 + (-406)\/w and 57\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from dsdxxyydxyddsyy?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-6))\/z**(-2\/43)*(z*z**(2\/13))\/z**(-6) assuming z is positive.\nAnswer: z**(1230\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uppwkwpkwkpwpkw. Give prob of sequence pwu.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 8184*d**2 + 49158*d + 73764.\nAnswer: -2*(d - 4098)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 202*k**4\/3 + 918*k**2 - 1778*k. Differentiate p(s) wrt s.\nAnswer: 1616*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 3*m**2 + 3*m - 4. List the prime factors of j(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/(-4))\/(870\/232))\/(1\/20)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -76 + -69648?\nAnswer: -696c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q. Suppose -5*w - 11 = p + p, -w - 3 = q. Let b(n) = 2*n**2 + 0*n**p - 4*n**2. Let i(v) = 5*v**2. Determine i(b(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -30. Suppose -d = 20 + y. Let u = d - 57. Round u to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.3 - -31.9. Let m = i - 11.6. What is the second biggest value in m, 2\/3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*a + a - 7 = 0, 0 = -4*h - 5*a - 11. Suppose 0 = -4*f + 3*k + h, 6 = 4*f - 5*f + 2*k. What is j in 1 - j - 3*j**2 - f*j + 3*j + 4*j**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113336502*v**2 + 20*v + 2967724 wrt v.\nAnswer: -226673004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452553 - -105100?\nAnswer: -343453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:49 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 6\/(-3 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 118992*r**2 + 2141748*r.\nAnswer: r*(r + 18)*(r + 356958)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -3, -16, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.333 - 165.333. Let i = 90 + q. Let n = i + 75.102. What is n rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3763.504898 - -3573.5054. Let n = f - -190. Round n to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 7*r**2 - 5*r - 8. Let m(b) be the first derivative of -b**4\/4 - 14*b**3\/3 + b**2\/2 + 20*b + 1. Let t be m(-14). Calculate f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 4*d)*(4*d - 4*d + 2*d**2) + 4*d**3 + 3*d**3 - 5*d**3)*(-3*d - 2*d + 3*d) to the form x*d**3 + y*d + f + r*d**2 + l*d**4 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -54 - (-11 + -3 - -1)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)\/(j\/(j*j\/((j*j\/(j*j\/(j\/j**(-1\/8))))\/j)*j*j)))\/((j**0*j)\/j)**(-19\/3) assuming j is positive.\nAnswer: j**(153\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f - 35 = 53*f - 2*c, 15*c - 10*c + 7 = -f for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23581581*q**3 - 35203474*q**2 wrt q?\nAnswer: -141489486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4409573 by 92.\nAnswer: -4409573\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*g + 12 = 5, -4*s - 4*g = 5*g + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k**2 + 0*k + (-1 - 2 + 0)*(3*k**2 + 3*k**2 - 4*k**2))*(-k - 4 + 4 + 2).\nAnswer: 4*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (4 + 47 - (144 + -139))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(567) + 1 + -4)**2 + -3*sqrt(567)*-4*-1.\nAnswer: -162*sqrt(7) + 572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-7)\/(-3))\/((-10)\/30)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/5352 and 13\/27.\nAnswer: 48168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*g + 221*g - 1383*g = 28*g + 34254 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*a + 3*k, 3*k - 18 - 19 = 4*a. Let x = a + 17. What is the second derivative of u - 29*u**x + 23*u**4 - 6*u wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102704 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 2. Determine w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 33\/(-6))\/(127\/(-2032)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/6)\/((-36)\/(-54)). Let t = y - 2. What is the remainder when 12 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2754 = -s, 13*s - 3432 = -5*d + 9*s. Suppose 9 = -17*t - d. Sort t, 0, -1 in decreasing order.\nAnswer: 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 2*p**2 - 2*p + 4. Suppose -d = 7*d - 160. Let s = -17 + d. Calculate l(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/374, -2\/16823, -4 in decreasing order.\nAnswer: 1\/374, -2\/16823, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 12*f + 49 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1396.32162 + -1395.674804809. Let r = -0.073183469 - z. Let x = 0.72 + r. Round x to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009504 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1 - 49*q**3 - 55*q**3 - 10*q + 103*q**3 - 4*q**2. What is the remainder when 379 is divided by n(-5)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224793531 to the nearest integer?\nAnswer: 14993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 17926914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 1.1. Let r = g - -0.1. Let o be (25\/27 + -1)*3. Which is the third smallest value? (a) r (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 38, 13, -32, -103, -206?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18113 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: b\"What is the hth term of 53, 64, 79, 98, 121, 148?\n\"Answer: 2*h**2 + 5*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4716.9999993757 - -4717. What is v rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643 (base 7) in base 3?\nAnswer: 220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:10 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -1, -4, 471, 5.\nAnswer: -4, -1, 5, 130, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69679204 + -417.\nAnswer: -69679621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2856\/672 + 6\/(0 - 1)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)*f*f*f\/f**(-2\/3))\/(f**0\/f**(-4)))\/((f\/(((f*f\/(f*f**(-5\/2))*f)\/f)\/f))\/f**(-7))**(32\/7) assuming f is positive.\nAnswer: f**(-2119\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let x be f(2). Suppose -3*p + 21 = x*h, -3*p + 0*h + 4*h = -21. Let q(l) = l**2 + 3*l - 4. Let g be q(-4). Solve -2*s + 3 + p = g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 3*t**3 - 2*t**3 - 5*t - 3 + 5*t**2. Let z be (3 - -2)*2\/5. Let v(r) = -r**2 + 3*r + 2. Let u be v(z). Calculate y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23015 + -22329. Which is the smallest value? (a) -3 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5 - 3726*f**4 + 163818*f**3 - 2676648*f**2 + 18852795*f - 47336562 = 0?\nAnswer: 6, 13, 1197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/sqrt(396))\/sqrt(5).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3348.442 years?\nAnswer: 33.48442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*i + 5*i**5 + 20*i - 4*i**3 + 2*i**5 + 4*i**3 + (i - 2*i**2 - i)*(i**3 - 3*i**3 + i**3))*(0 + 1 - 5).\nAnswer: -36*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuctcs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16153793011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/9*((-9)\/2)\/(-3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.151985 - -39.847095. Let v = p + -41. What is v rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59840325 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-6 + 10 - 4861) + -7.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = 3*o, -o + 8 = 2*k - 4. Let f be -6*2\/k*-1. Is (7 - 2\/f) + -1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207 + 305. Let k = g + -44. Suppose 3*o - 5*o + k = 0. What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 50300?\nAnswer: 50301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3376*u + 10 - 3 + 11.\nAnswer: 3376*u + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + d**2 - 2*d - 24. Let v be t(0). Let g = v + 27. Suppose -g*s + 5*o + 124 = 0, 2*o - 34 = 4*s - 5*s. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65638932.5 to the nearest 10000.\nAnswer: -65640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -12*n**5\/5 - 4*n**4 - 4*n**3\/5 + 4*n**2\/5 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, 2\/7, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**3 - 2*p - 6. Let f be (0\/(-10))\/(1*4). Let y be q(f). Let a(x) be the first derivative of 3*x**2\/2 + 4*x + 2. Determine a(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g - 2*g**2 - 4*g**2 + 0*g**3 + 5*g**2. Let r(i) = i**3 - 8*i**2 - 6*i - 2. Let p(v) = -2*b(v) - r(v). Is p(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50048?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 3:43 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from kwoooooookokoouwoquo.\nAnswer: 11\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2260*w + 29235. Give v(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -0.64, 0.5, -3\/8 in increasing order.\nAnswer: -0.64, -3\/8, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 3*r**2\/2 + 2*r + 37. Determine o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:46 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*t = -144, -4*u + 0*u - 138 = -t. Let h be 174\/754 + (-1702)\/52. Is h < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 2054, 3086, 4120, 5156, 6194?\nAnswer: 7234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 0*q + 2*q)*((0 + 2 + 1)*(-1 - 1 - 2) + 0 - 2 + 0) to the form b + p*q and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -589831180 from 2.\nAnswer: 589831182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/9*6\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(153) + 1*sqrt(153)))\/sqrt(3))\/(-4*-2*sqrt(243) + -1*sqrt(243)*4).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 33*d**2 + 36*d - 64. Let h be w(34). Suppose -4*z - z - 22 = s, 0 = -3*s - 3*z - 6. Put 1, h, s in decreasing order.\nAnswer: h, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**4 - 90*t**3 - 63*t**2 + 85*t + 89. Let s(b) = b**4 - 45*b**3 - 33*b**2 + 43*b + 44. Let j(c) = 5*s(c) - 2*x(c). Factor j(w).\nAnswer: -3*(w - 1)*(w + 1)**2*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 0.6. Let l = h + -1.1. Let s = -0.33 - -0.63. Which is the biggest value? (a) s (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 60032427558 and -0.1.\nAnswer: 60032427557.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1766060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 14) + 10 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1482 - 661. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(224))\/sqrt(4) + 6*-1*sqrt(56))\/((sqrt(128)*2 - sqrt(128)) + 2*sqrt(128)).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 1782*m - 3552.\nAnswer: -3*(m - 592)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-770)\/(-8) - 2\/8. Let q = -1 + 0. Let g be 3*q*(-6 + 2). What is the highest common divisor of g and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {u: 1, e: 1, z: 1, a: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9634 + 18714. Let q = 117946\/13 - p. Is -7 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1628 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -89610\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 + (1 - -2) - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b621 - 2?\nAnswer: 7b61c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705.\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 402167171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*v**2 - 23 - 9 + 43 - 11 + 357*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 + 1032*w**4 - 28437*w**3 + 157602*w**2 + 404628*w + 217560 = 0 for w.\nAnswer: -370, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 5.2499?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 2, s: 2, e: 2, h: 7, q: 1}. What is prob of picking 2 h and 1 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 43. Let k be u(11). Let o = k + 21. Sort 4, o, -49.\nAnswer: -49, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 202 + 4?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 + 1. Let h(d) = -5*d**3 + 9*d**2 + 8*d - 3. Let i(n) = 6*c(n) - h(n). Let u be i(-7). Let y = -132 + u. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 34*j**2 + 12*j. Let g(z) = 690*z + 107. Calculate g(y(h)).\nAnswer: 23460*h**2 + 8280*h + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -31950.3085 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5 - (-7 + (-273)\/(-35))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76881 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398 (base 10) to base 4.\nAnswer: 12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 94?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.5994 micrometers to kilometers.\nAnswer: 0.0000007385994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(18\/(-3))\/60?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/10 + -8)\/(-6 + 2032\/340).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/7 - 1794*k**2\/7 = 0.\nAnswer: -897, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y - y)*(4*y**2 - 4*y**2 - 3*y**2) + (2 - 3 + 2)*(-9 - y**3 + 9) - y**3 - 10*y**3 + 17*y**3 as v*y**3 + m*y**2 + c*y + t and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2977, -6118, -9243, -12346, -15421, -18462, -21463?\nAnswer: -24418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 17. Determine k(49).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 167*g**2 + g + 2. Let u be y(-2). Suppose u = 7*a - 137. Calculate the remainder when a is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003497710131 to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4*i = -5*a + 470, a = -4*i - 642. Let h = -159 - i. Let r = -1 + 2. Calculate the highest common factor of h and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429 is divided by 75?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/38664 and -77\/592848.\nAnswer: 1778544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**3 - 21 - 11*y + 11*y**3 + 20 in the form i*y + p*y**3 + s + u*y**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 12:12 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.02 + 7.02. Which is the third smallest value? (a) -2\/9 (b) -5 (c) t (d) -13 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 = -10. Let n be 6 + a\/((-4)\/2). Is n <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41903000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774176?\nAnswer: 2, 13, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 481 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -21. Let g = 65 - i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/60 + u**4\/36 + u**3\/18 - u**2\/6 - 10*u. Factor r(t).\nAnswer: -(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/5 - 4\/15. Let b(g) = g**2 - 5*g + 2. Let t be b(5). Let n = t + -2. Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**3*m**3*x**2 + 18*l**3*m*x**2 - 27*l**2*x**2 - 2*l*m**3*x**2 + 2*l*x**2 + x**2 wrt l?\nAnswer: 24*m**3*x**2 + 108*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/14 and -71\/136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3175 - 3175 + 13*k - 6*k**2 + (3*k**2 - k**2 - 3*k**2)*(1 + 1 + 0) in the form s + m*k + i*k**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iui when three letters picked without replacement from {u: 11, i: 9}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 9:08 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-416)*13)\/((-1)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 6. Let p be z(7). Let c be 45*(2 - 4)\/p. Suppose -o = -4*o + c. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284635 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**6\/720 - 61*x**5\/18 + 2443*x**4\/144 - 611*x**3\/18 + x**2 + 17*x - 3. Factor k(y).\nAnswer: -(y - 1)**2*(y + 1222)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02766 - 0.37234. What is the fourth smallest value in 0.4, 3, -3\/4, b, -39?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123273794 is divided by 8331.\nAnswer: 8318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**2 + 0*w**6 + 0*w**4 + 0*w**5 - 1\/14*w**7 + 3*w + 0 - 1\/2*w**3. What is the second derivative of z(f) wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -10. Suppose s*m = -5*m + 75. Solve m = q + 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 7*x**4\/12 - 3*x**2\/2 - 4*x. Find the first derivative of d(i) wrt i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 20, 4*k = 2*d - 357 - 221. What are the prime factors of d?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2560976, -5122001, -7683026, -10244051, -12805076, -15366101?\nAnswer: -17927126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -361*p**5 - 55537*p**4\/2 + 1813001*p**3\/2 + 5764051*p**2\/2 - 471327*p\/2 - 8181 = 0. Calculate p.\nAnswer: -101, -3, -1\/38, 2\/19, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021 - 20202?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrnn when four letters picked without replacement from {n: 3, d: 1, y: 5, r: 4, p: 1}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -128*n**3 + 2*n**2 + 2*n + 4. Let u be t(-2). Let z = 628 + -1029. Let p = z + u. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + 0 + 2 + 3. What is the units digit of 6\/f + (-76)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58cc7 - 124?\nAnswer: 58ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 8. Let f be k(-4). Suppose -f*z - 3*n = -4*n - 69, 3*z - n = 53. Suppose 0 = -3*b - 4 + z. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10915216 divided by 194.\nAnswer: 56264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12460\/177 greater than -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 173. Let k = -104 - u. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045138 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/560 and 43\/176.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -26914\/5 smaller than -1467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2092\/20 - 4\/(-10). Calculate the greatest common divisor of a and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(68) + 2 + sqrt(68) + sqrt(17))**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -17 - -9) + -1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(847)*-2 + -1 + -1 + -3*(1 + sqrt(847)))*-4)**2.\nAnswer: 12320*sqrt(7) + 664448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*o - 97 = 0, 3*l + 7*o - 8*o + 113 = 0. Suppose 0 = t - 3*v + 40, -t - 5*v = 4*t + 200. Is l <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -10, 0.14, -0.0043777 in decreasing order.\nAnswer: 0.14, -0.0043777, -2\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 477*m**6\/10 + 2*m**4\/3 + 67*m**2\/2 - 91*m + 2. What is the third derivative of k(c) wrt c?\nAnswer: 34344*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let z(l) = 4*l - 2. Let u(j) = j - 1. Suppose 6 + 3 = 3*m. Let g(i) = m*z(i) - 6*u(i). Calculate g(w(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 11*c**2 + 5*c - 16. Let s be k(-7). Let z be (-582)\/s - (5 - 2). What is the third biggest value in z, -1\/10, 5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000540873 rounded to 5 dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 10*k**2 - k - 2. Suppose u + 10 = -5*g, 8*g - 140 = 4*u + 3*g. Let d = u + 20. What is the units digit of z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 16*l**3 - l**2 + 6*l + 11. Let q(a) = -3*a**3 - a - 2. Let m = 46 - 50. Let i be (-15 + 14)\/((-2)\/m). Determine i*g(b) - 11*q(b).\nAnswer: b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - (101 + (-53 - 38)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -28.5, -5, 7, -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 38\/4)*(-116)\/(-87). What is the lowest common multiple of ((-112)\/(-20) + -4)*r + -1 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.20898 or -0.04?\nAnswer: 0.20898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d = 5*l - 57*d + 8, 4*d = 2*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5 + 15*l**4 - 9*l**3 - 51*l**2 - 30*l = 0. Calculate l.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 4*u + 10*u + 112 - 4*u - u**2 to l*u + w*u**2 + h and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2055 (base 6) to base 15\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91471926 by 541254.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/561 and (-108200)\/(-15600) - (-3)\/13?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 21843*a**4 - 21967*a**4 + 4 + 0*a + (-1 + 2*a**2 + 1)*(-4*a**2 + 3*a**2 - a**2) + 2*a**4 - a + a.\nAnswer: -126*a**4 + a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35355868*i**3*u - 167*i**2*u + i**2 - 51*i*u - 255*u wrt i?\nAnswer: 212135208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -204*c. Let h(k) = -3*k + 2409 - 2409 + 0*k. Calculate b(h(m)).\nAnswer: 612*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2955*i**4*y + 23*i**3*y + 158*i**2*y + 293*i*y wrt i?\nAnswer: -70920*i*y + 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 19. Let d = m + -19. Solve r - 2*r = -d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -35697.1 (b) 3 (c) -6\/7 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -20.3?\nAnswer: 60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 - 5 = 0. Suppose 25 = g*m - u, m + 37 = 5*m - 5*u. Let s be 3438\/m - 1\/(-4). What is s rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - 7. Suppose 3 = -u*x - 1, -r = -2*x + 2736451. Let a = r - -4876453. Round a to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*o. Let s be -4 + (o - (-5 - -2)). Does 27 divide -84*((-3)\/(-9) + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 34, -1, -3, -2, 1 in ascending order.\nAnswer: -3, -2, -1, 1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -3*q. Let v = -96.1 - -96. What is the third smallest value in 3\/7, q, v, 8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135195673 to five decimal places.\nAnswer: -0.01352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19609 not equal to 19609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4.95, 37, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-7\/6)\/w)*w*w**(-2\/87)*(w\/(w**(6\/31)*w))\/w**(-2\/27) assuming w is positive.\nAnswer: w**(195359\/48546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 5*a + 5*a + 18*a.\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 - 78 - 510*u as f + d*u and give d.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 698 - 694. Let p = 3.8 - 0.8. What is the biggest value in -0.05, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 52\/(-16) + (23205\/1716)\/85\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25853477.9 and -126388.\nAnswer: 25727089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 12*m = -4*p + 13763, 2*p - 4*m = 6884. Is p a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e0 (base 16) in base 8?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/356633 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/4 - t**3\/12 - t**2\/2 + t\/4 - 9. Factor n(d).\nAnswer: (d - 1)*(d + 1)*(4*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-21)*(533\/(-26) - -1). Let t = 31\/7 - f. Which is greater: t or -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 55 (c) 2360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3469, -13789, -30971, -55009, -85897, -123629?\n\"Answer: m**3 - 3437*m**2 - 16*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g - t + 138 = 45*g, 5*g - 5*t = 160. Which is the closest to -0.2? (a) 0.038 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -15.5. Let n = v - -9.5. Let w(z) = z**2 + 10*z + 16. Let j be w(-4). Which is the third smallest value? (a) n (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1834873395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 6*g**2 - 4*g - 13. Let k be x(7). Let j = k - -49. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1955369 and 7397.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5044233841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22333 by 1.\nAnswer: -22333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3 (c) -4 (d) 0.024 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**7\/21 - 103*z**5\/20 + 977*z**4\/6 + 1406*z - 1. Find the third derivative of p(d) wrt d.\nAnswer: -120*d**2 - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -2*s - 6*i + 10, -4*s - 20 = 4*i. Let k(h) = 2*h**2 - 3*h + 470. What are the prime factors of k(s)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-26)\/(-4) - 5)*(-16)\/(-6). Solve v*p + 5 = 4*n - 7, -4*n = -5*p - 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6075*o**5 + 171 - 9 - 162 + (-o + 2*o - 3*o)*(-o**4 - 4*o**4 + 3*o**4).\nAnswer: -6071*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p - 4. Let y(v) = 5*v - 3. Let w(t) = -2*i(t) + 3*y(t). Let n(l) = l**2 - 10*l + 8. Let a = 28 - 20. Let b be n(a). Calculate w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -24 - 68. Let v = -21 + u. Solve 4 = -v*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -7 + 1 + (833 - 941)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -238*z - 2369. Let h be r(-10). Solve 3 = h*u + 80 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-11.57\nAnswer: 3.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 8*p + 6. Let o be g(6). Let t be (o\/16)\/(36\/(-1232)). Let w = t + -27\/2. What is the nearest to w in -3, 4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852731.049 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + r + 78, 28 + 185 = 3*c + 4*r. Calculate the greatest common factor of c and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(-428 - -6). Let f = -84 + c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 455, -8, -2, -5, 3 in decreasing order.\nAnswer: 455, 3, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 86700*i + 86700*i - 7*i**2 + 9*i**2 + 6.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35, 168, 391, 704, 1107, 1600, 2183?\n\"Answer: 45*x**2 - 2*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 22*s**2 - 1. Let d(w) = -107*w**2 - 207*w - 3132. Let z(p) = d(p) + 5*g(p). What is the derivative of z(k) wrt k?\nAnswer: 6*k - 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908042365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (3 - (-2 + 5)). Let k be 10*11\/(-4)*h. Suppose 0 = 5*y + 35 - k. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18 - ((-14 - -16) + -22). What is the nearest to 2\/3 in 1, 11, a, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/(-12))\/8*11475\/900.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 171*u**4 + 92*u**3 - u**2 + 75788?\nAnswer: 684*u**3 + 276*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -33, -39, -47, -57, -69, -83?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(-25\/3)\/(t**0*t**6))\/((t\/(t*t**(-2)))\/((t\/t**2*t)\/t)*((t*t\/t**(-7)*t*t)\/t)\/t**8) assuming t is positive.\nAnswer: t**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - j - 31 - 146 = 0, k = -4*j + 66. List the prime factors of k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*q = -0*a - 12, -4*a + q - 18 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3171, -3145, -3119, -3093, -3067, -3041?\n\"Answer: 26*n - 3197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 56 = 2*j. Suppose -11 = 5*x + 49. Let g be x\/(-4) + 46\/j. Which is the smallest value? (a) g (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -10. Let v = -6 + i. Solve -2 = 3*u + v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113\/2 + -55. Let h = -1 + a. Factor -1\/2*p**2 + h*p + 0.\nAnswer: -p*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b)\/b**(-1\/3))\/((b\/(b*b**(-4\/17)))\/((b*b*b**(-1\/33)\/b*b*b*b*b)\/b)) assuming b is positive.\nAnswer: b**(4526\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -o + c + 11, -4*o + 5 = c. What is the second derivative of -871*d**2 + 11*d + 870*d**o + 38*d wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597501854.\nAnswer: 2, 19, 877, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 2*r - 3. Let o be (2 - 5 - -2)*-5. Let y(h) = 7*h**2 + 5*h - 7. Determine o*t(w) - 2*y(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 4*l - 6. Let q be r(-4). Calculate the remainder when q\/((-4)\/(-68)*-2) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -55*t + 2. Calculate i(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593 a factor of 195642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 7*r**5\/60 - 17*r**4\/24 - 11*r**3\/6 - 10*r**2. Is v(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245985893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-297)\/(-63) - 2\/(-7). Let p(f) = 3*f + 13. Let a(x) = -x - 1. Let w(d) = 4*a(d) + p(d). Let j be w(z). Solve j*k + 5 = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -4*m - 5*f - 56, m + 1 = -2*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 44. Suppose -3*h = -0*h + 5*b - q, b + 6 = 3*h. Suppose 0 = h*l - n - 251, 4*l = 2*l - 2*n + 170. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/((-5)\/(-15)). Suppose -j + f = -0*j. Let v = -0.0739 - 0.0261. Which is the closest to 0? (a) v (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 5, 0 in ascending order.\nAnswer: -7, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133089?\nAnswer: 3, 11, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 6. Let j(v) be the first derivative of 3 + g + 5 + v**2. Let m(i) = 4*i**2. Determine m(j(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22559986 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1259 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose 2*l = l + t - 1, -30 = -9*l - 4*t. Put -4, c, l, 3 in descending order.\nAnswer: c, 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.50592 + 2.70322. Let y = 2.2 - x. Round y to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j - 574. Let c be b(53). What is the highest common divisor of c and 963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5 - 553*u**4 + u**3 + 511*u**2?\nAnswer: 60*u**2 - 13272*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308504789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = 18 - 66 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (17 - 4) - 7\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 + 4. Let o = 132 + l. Let j = 0.22 - -0.08. Which is the closest to -1? (a) o (b) j (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + a - 951 = -2*a, -4831 = 5*q + 4*a. Is -961 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 10. Let t be p(11). Let l(i) = i + 4. Let j be l(-5). Let u = j + 3. Which is the second biggest value? (a) t (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 9*u + 2. Let n be a(-6). Suppose -3*h - h + 3*i = -35, -3*h + i = -n. Suppose h*m + 5*r - 888 - 997 = 0, 4*m + 2*r - 1512 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.404 and 18488.\nAnswer: 25957.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -794334485\/9 smaller than -88259388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:42 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1731287377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-505)\/404)\/(2\/48*2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/61? (a) 0.5 (b) 1.1 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (-12 + 13 - 13) - 46?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.973 - -36. Let p = s - 0.0270047. Round p to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20729548 divided by 2842?\nAnswer: 7294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 76303 and 76309 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -824942*g**4 - 2*g**2 + 48448*g + 2.\nAnswer: -9899304*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 796115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/8 + 15*o**3\/8 + 141*o**2\/8 + 117*o\/8 - 135\/4 = 0. Calculate o.\nAnswer: -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3 + 354*r + 362 with respect to r.\nAnswer: -3*r**2 + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 215770.380262.\nAnswer: -215770.080262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 - 3*c + 7. What is the units digit of d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvibbgabg. Give prob of picking 1 g and 1 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*i - 119 = -809 - 759 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -235761*r + 1886094. Give q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26188526 divided by 2?\nAnswer: 13094263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/3 + 287*o**4 + 6079*o**3\/3 - 2549*o**2\/3 - 15930*o + 43400\/3 = 0. What is o?\nAnswer: -5, 1, 2, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 14078*v**2 - 24794864*v + 74257944 = 0 for v.\nAnswer: 3, 3518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2, 94, 1 in decreasing order.\nAnswer: 94, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140819845.\nAnswer: 5, 28163969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1247 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - h = 124, -4*f - 5*h + 523 = 0. Let g = -385\/3 + f. Which is the smallest value? (a) g (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234462583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - -4. Let q = t + -25. Which is smaller: q or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s - 22. Let o be u(-3). Sort o, -1, -3, 10.\nAnswer: -3, -1, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 + -110. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/3)*v)\/v**(-10)*v**(8\/3)*v*v**(2\/7) assuming v is positive.\nAnswer: v**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106482251 or -106482252?\nAnswer: -106482251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -135*f + 534. Calculate j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(((-96)\/320)\/((-42)\/(-28)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 12 = 31*u. Let q be u\/(2\/(80\/15)). Let k = 12 + -10. Solve -g - 5*a - k = 19, 4*g = -a - q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3, 11 + 0 = -2*n - 5*u. Solve -n*i + 4*z = 3*z + 10, -3*z = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2641 * -17342.\nAnswer: -45800222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 6}. Give prob of sequence pbp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -575*v - 4144. Determine x(-7).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -430*c**4 - 53*c**3*w + 167634*w wrt c?\nAnswer: -1720*c**3 - 159*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 61*d + 3*d**3 - 57*d + 0*d**2 - 2 - 4*d**3 to the form f + q*d**2 + g*d**3 + l*d and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c - 63. Let y be i(-6). Is (2533\/51)\/((-1)\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a factor of 5377688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12*r**3 + 10*r**2 - 2510*r + 2500. Determine v(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022830 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 = -25*q + 62, 2 = q - 4*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**2)**(-13))**(-11))**40)**(7\/3) assuming l is positive.\nAnswer: l**(80080\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k\/(k**6*k))\/k))\/k)\/k)\/k)\/k**6 assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -588 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 + -73.8?\nAnswer: 83.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3628 + 2*l - 3628. Suppose -5*p + 14 = 2*z - 0*z, -4*z + 3*p = -28. Let d = -4 + z. Give x(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 10. Let g be x(-8). Let m be 6\/g*(4 - -1). Suppose 2*v - 30 = -v. What is the greatest common factor of m and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*m = -3*m + n, 0 = 2*m - 0*m + 4*n + 3*n - 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226591 (base 11) in base 9?\nAnswer: -4008044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/6*2463 - 2\/(-4).\nAnswer: 2, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + ((-16)\/12*-3 - -11). Suppose -3 = -12*n + h*n. Suppose 2*b + 0*u = n*u + 4799, -2*u = 3*b - 7179. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 197, 201, 205, 209, 213?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 43*z**2 - 69*z**2 + 2 + 44*z**2 - z**3. Let b be s(18). Put 5, -2, -7, b in increasing order.\nAnswer: -7, -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 517\/6 + -187\/3. Let v = -2450216\/541 - -4529. Let d = v - -36679\/8656. Find the common denominator of n and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1192400 by 2.\nAnswer: -596200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/100 and -71\/220.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -52, -192, -478, -958?\n\"Answer: -8*v**3 - v**2 + 17*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 - -129. Let f = 8 + -4. What is the nearest to -0.2 in f, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 12 (c) -8 (d) -1\/4 (e) 3\/10 (f) -1\/8 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1415*j**3*v**2 - 5*j**2*v**3 + 4050*v**3 - 5*v**2 wrt j.\nAnswer: -4245*j**2*v**2 - 10*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.225 + 0.306. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -820575 divided by -164115?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 19*n - 14. Give m(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(320) + (sqrt(320) + sqrt(320) + (sqrt(320) - sqrt(320)*6)*1 + sqrt(320) + sqrt(320) - sqrt(320)) + sqrt(320))\/(sqrt(160) + sqrt(160)*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1017, 1033, 1065, 1119, 1201?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfp when three letters picked without replacement from mmmllfpglppepml?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/((d**(-1)\/d*d*d)\/d))\/d)**(2\/79)\/((d\/d**(-3\/8))\/d**(-6)))**37 assuming d is positive.\nAnswer: d**(-171273\/632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76879 or -76875?\nAnswer: -76875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 201, 4, -3 in descending order.\nAnswer: 201, 4, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -328 + 10. Let d = -296 - z. Solve -2*l - 3*l - d = 2*p, 2*p = -3*l - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-27)\/90*-2)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16911 and 2?\nAnswer: 0.33822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2955 is divided by 942.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10051, 2 in decreasing order.\nAnswer: 10051, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 422863008 - 1?\nAnswer: 422863007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 761.5662m?\nAnswer: 0.7615662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = 5*y, 3*w - y = -7 + 14. Solve -3 + 0 = -2*t + w*z, 4*t + 2 = -2*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -0*t + t, -2*r + t + 14 = 0. Let z(u) = -6*u**3 - 6*u**2 + u - 4. Let l(o) = -7*o**3 - 7*o**2 + o - 5. Let d(w) = r*l(w) - 6*z(w). Factor d(f).\nAnswer: (f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -101. Suppose 546 + 174 = y*w. What is the highest common factor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(63)*4 - -1*sqrt(252)))**2.\nAnswer: -72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.01, -0.5, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (499\/7 - 66\/231)*2 + -1. What is the highest common factor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**7\/840 - h**6\/90 - 7*h**3\/6 + 2*h**2. Let v(x) be the first derivative of o(x). Find the third derivative of v(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 smaller than 5158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -32909786.\nAnswer: 164548930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -177 or 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2349*1\nAnswer: -2349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 175883 to the nearest 1000.\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -38 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11755565, 23511128, 35266689, 47022248, 58777805?\n\"Answer: -l**2 + 11755566*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/((-7)\/((-2919)\/(-282))). Let u = p + 3\/188. Find the common denominator of -89\/6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -638 - -626. Which is greater: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4050)*-5)\/(1*sqrt(1000)*-2).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 > 2183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = -109*k + 414. Suppose 0 = -w - 4*w + 5. Which is the third smallest value? (a) w (b) -3\/8 (c) k (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -12. Differentiate -4*a**z + 16*a - 16*a - 5 wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3*k*k*k*k*k*k*k)**(-46))**(3\/16)*(k*k**(-1\/4)*k)**(-28)*k\/(k\/k**(-6\/7))*k\/((k*k\/(k**6*k))\/k) assuming k is positive.\nAnswer: k**(-7713\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snqnnqvnsqnqqqqqsni. What is prob of sequence sv?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 248 = -4*c, 2*n + 2*c - 184 = -n. Let t = 63 - n. Solve 4*q - 12 = t*s, -2*q - 2*s - 12 + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2054840326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 - 8*q**2\/13 - 394*q\/13 + 2640\/13.\nAnswer: 2*(q - 11)*(q - 8)*(q + 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154372 and 2480.\nAnswer: 95710640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.8 (b) 0.59 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -12. Let w be -3 - z*(-12)\/9. Suppose 0 + w = -5*n. Let o(r) = -21*r**3 - 2*r**2 - r. Determine o(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 2*t**2 - 111*t + 895. What are the prime factors of o(-33)?\nAnswer: 38317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.02 + 9. Let o = p + -0.18. Let h be (-4 - (-15)\/3)\/(2\/(-8)). Which is the nearest to h? (a) -2 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -4, -2\/3, -0.3, -238 in decreasing order.\nAnswer: 4, -0.3, -2\/3, -4, -11, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -1 = -q - s*b + 2, 0 = -5*q - 3*b + 15. Factor -6*i**2 - q*i + 3 + i + 1.\nAnswer: -2*(i + 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = -2*x, x - 9 = -4*s + 2*x. Let p = 51 + -7. Suppose 0 = s*z - 0*z - p. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*g - 52*g - 3*g**2)*(6635 + 115*g - 6635)*(-3 - 1 + 11).\nAnswer: -2415*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 10*o = -9*o + 40 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppkppppppkpkppppkk. What is prob of sequence kk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-8554)*-47)\/((-4)\/(16\/(-42)))\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87414739*j**2*q**3*s**3 - 4*j**2*q*s**2 + j**2*s**3 - 5*j*q**2*s**2 - 5*j*s**3 - 35*q**2*s**2 - 3*q*s**2 + 6*s wrt q.\nAnswer: -524488434*j**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:39 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efei when four letters picked without replacement from ieeeiiefifef.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23821 and 2870.\nAnswer: 238210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3210423211 (base 5) to base 10\nAnswer: -6732931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 5*w**4 - 5*w**4)*(-4 + 1 + 0).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -m + 12, -22 = -3*d - 5*m + m. Suppose 4*s = d*r + 3*r - 225, 4*r = -4*s + 216. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 912227546 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - d**2 + d + 3. Let p = 0 - 0. Let q be u(p). Suppose -2*m = -q - 45. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.8 - -4. Let q = -0.7999877 - m. Round q to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 b when four letters picked without replacement from qgqb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23146512 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -897822 to the nearest one thousand.\nAnswer: -898000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 5. Let j(m) = m**2 - 6*m - 7. Let r be j(6). Let a be t(r). Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p. Let m be l(1). Let d(q) = 17*q - 3. Let c be d(m). Suppose 5*o - 45 = -3*h, 7*o - c = -5*h + 2*o. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 = -3*y + 749, 5*y - 216455 = -5*j. Is j a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2) + 1 + sqrt(2) + -5)**2.\nAnswer: -16*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/3*(-33)\/33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*x**2 - 6*x**3 + 10 + 3*x**3 - 141*x**2 - 12 in the form r*x**2 + n*x**3 + g + p*x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 3. Let r be x(5). Let c(q) = -3*q - 29. Let o be c(-10). Let t be o\/r + 65\/2. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31180141 is divided by 136755.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7446754219?\nAnswer: 457, 16294867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 2}. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajjj when four letters picked without replacement from {a: 2, j: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = 0, j + 29 = q + 6*j. Suppose -q*x + 5 = 1. Which is greater: x or 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 9. Suppose 6 = 3*r + w. Solve 6 - r = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82736 is divided by 123?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -21. What is the common denominator of 0 - (420\/33)\/x and 49\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(10646*h**4 - 20*h**2 - 3*h**2 - 2*h**5 - 10640*h**4).\nAnswer: -4*h**5 + 12*h**4 - 46*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)**(9\/5)\/(t**3\/(t\/(t**6\/t))))\/((((t**(-6)*t)\/t)\/(t\/(t\/t**7)*t))\/(t\/t**(1\/2))**(-9\/13)) assuming t is positive.\nAnswer: t**(1099\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 1 v when three letters picked without replacement from zgzvsjkk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -100333?\nAnswer: 100330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 19.27997209?\nAnswer: 19.47997209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**8\/56 - c**5\/12 + 2*c**2 - 1. Let v(a) be the second derivative of q(a). What is the third derivative of v(u) wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*a - 3*b + 11, -5*b = -2*a + 21. Find the common denominator of (-465)\/28 - a\/(-14) and ((-54)\/(-35))\/(1\/5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -211, -252, -329, -454, -639?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 16725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 - (2 + 0) - 2 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120545290 to the nearest integer?\nAnswer: 10979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 206*p**5 + 131*p**5 + 182*p**5 + (6*p + 0*p**4 + 5 - 7*p + 2*p**4)*(-2*p - 3 + 3)*(4 + 0 - 3).\nAnswer: 515*p**5 + 2*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 - ((-1170)\/(-13))\/15 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**5\/4 - 35*g**4\/8 + 25*g**3 - 65*g**2 + 80*g + 560. Let q(f) = 0. Calculate f.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34105 divided by -95?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -1\/2*m**3 - 8*m + 5 - 1\/2*m**2. Let c(n) be the first derivative of v(n). Differentiate c(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.35 + -4.381. Let x = g - 12.029037. Let z = 0.06 + x. Round z to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/2 - 4 - -1. Suppose 0*y = -q*y. Solve 3*r - p + 11 = y, 4 + 12 = -3*r + 2*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21658 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845812 at most 1845812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2801 less than or equal to -2859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 19*b**3 + 1. Let x be i(1). Solve 7*k - 2*k = -4*a + x, 3*a + k = 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + 1*sqrt(8)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 31*p**2 - 201*p + 2. Does 13 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(((-144)\/(-12))\/60)\/(-13)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243227?\nAnswer: 243227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12145 + 12143.48. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/9)\/((-952)\/3))\/((-284)\/(-14) + -20)\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-5)\/(-6))*6\/(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 1:09 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 978, 968, 944, 900, 830?\n\"Answer: -h**3 - h**2 + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -92\/3. Let g = 0.33 + -0.33. What is the second biggest value in g, 0.2, u, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42231447 is divided by 345?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.5 - 8. Let t = 1 + o. Let f = t + 0.2. Which is the second biggest value? (a) 1\/3 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u + 2*m = 12, -3*m + 16 = 5*u. Suppose 0 = -4*q - 2*b + 10, -2*b + 1 = u*q - 5. Find the first derivative of 15*o**q - 107 + 16*o**2 + 70 wrt o.\nAnswer: 62*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 126, 244, 406, 618?\n\"Answer: f**3 + 13*f**2 + 34*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.8 + -24.9. Which is bigger: a or 21.9?\nAnswer: 21.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + (18 - (22 - -3) - 9)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108\/5 + 64\/5*h**3 + 64\/5*h**4 + 6\/5*h**5 - 6\/5*h - 236\/5*h**2 = 0.\nAnswer: -9, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 759*x**2 + 38088*x + 1314036.\nAnswer: 3*(x - 138)**2*(x + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14265 and 89711.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 - 25 = 0, v = -t + 8415. Let i = t + -2289971\/272. Calculate the common denominator of i and -39\/14.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 2*z - 1. Let n be a(2). Suppose -43 = -p - 4*t, p - t - 2*t - 57 = 0. Let o = p + -49. Sort o, 1, n in descending order.\nAnswer: n, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -825, -764, 185, 2022?\nAnswer: 4747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(((j\/(j**(1\/2)*j))\/j*j)\/j*j*j)\/j*j))\/(j*j\/j**18*j))\/(j*j**19)**7)**(1\/26) assuming j is positive.\nAnswer: j**(-251\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1827 - -5)*(-1)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = 4*l + 6*p, -2*p = 0. Solve -4*b = -4*y + 11 - 3, -b = -2*y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22861479 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 3058930, 4, -3\/2, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, -2.\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 5*m - 2*m**4 + 3*m - 2*m**2 + m + 0*m as r + a*m**2 + x*m**4 + f*m + k*m**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077 - 10*y - 3251 + 1091 + 1077.\nAnswer: -10*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.30537 rounded to 1 dp?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-99)\/(-3)*109091. Round a to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.6, 0.08, -4\/7, 0.3, 10, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*v - 2*k, 3*v + 2*k = 19 + 38. Solve -5*b - q + 21 = 0, q = 4*b + 2*q - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 143.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(44) + -4 + sqrt(11).\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-two fifths of a gram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g - 38*g - 5702*g**3.\nAnswer: -5702*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)\/(a\/(a\/(a*a**(1\/2)))))**10 assuming a is positive.\nAnswer: a**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2. Let n(r) be the third derivative of r**6\/720 - 5*r**4\/24 - 2*r**2. Let f(b) be the second derivative of n(b). Determine k(f(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 999750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -1 - (1570 + -1530).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102134 + 815826.\nAnswer: 713692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**4\/6 + 5*c**3\/2 + c**2\/2 + 2*c - 1398. Determine j(12).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*((1*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110) - sqrt(110)))\/sqrt(10)*-1.\nAnswer: -2*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 21. Suppose -c - 85 = -x*v, -3*v + 5*c + 128 = 4*c. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-2 - 5\/(-3)). Suppose t = 37*z - 32*z + 660. Is -132 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373728*o**4 - 125*o**2 - o - 13?\nAnswer: -8969472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8.28 * 1\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*h - 2*c - 63, 0 = -5*h + 2*c + 105. Calculate the lowest common multiple of 3 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*k**3*l*w + 5*j*k**3 - 19*j*k**2*l*w + j*k*w**3 - 2*j*l*w**3 - 44*k**3*w**3 - 3*k**2*l - 4*k*w**3 wrt k?\nAnswer: -6*j*l*w + 30*j - 264*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -270*p - 186*p + 174*p. Let q(d) = -d**2. Calculate q(n(l)).\nAnswer: -79524*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(20)\/sqrt(4)) - (-4*sqrt(768) + sqrt(12)))\/(1*sqrt(8)\/((sqrt(2) - ((sqrt(288) - sqrt(288)*-3) + sqrt(288))) + sqrt(2))))**2.\nAnswer: 10334208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -753540, -753559, -753578?\nAnswer: -753597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.974 - 4.474. Let o = 1 + 0. What is the third smallest value in -0.5, -5, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 3170100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x + 42*x - 4*x - 3*x**3 + 2*x + 13*x as l*x**2 + d*x + o + c*x**3 and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f - 5*f + 10*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 40*x - 85 + 47*x - 128*x + 78*x + 396. What is the lowest common multiple of 39 and i(-7)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/4 (c) -1\/3 (d) -204 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.4, 0.2, 7\/9, 49, 5.\nAnswer: -0.8, 0.2, 0.4, 7\/9, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 113560264*l**2 - 113560179*l**2.\nAnswer: 85*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**5 + 4*t**3 + 4*t**2 - 3*t + 4. Let u(j) = j**3 + j**2 + 1. Let d(n) = -r(n) + 4*u(n). What is the second derivative of d(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/3 - 224*g**4\/3 - 6578*g**3\/3 - 17892*g**2 = 0.\nAnswer: -71, -27, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 112?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10101102020?\nAnswer: -10101102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*f - 25, -3*f - 8*j + 5 = -4*j. Let l(u) = 10*u + 37. Let h be l(f). Is h less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 439*i**3 + 2*i**2 - 14*i - 7. Let k = 85 - 88. Let n be q(k). What is n rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-5)\/(-50))\/((-6)\/5))\/(-1). Which is the biggest value? (a) t (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 53?\nAnswer: 5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 divided by -5?\nAnswer: 803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*u - 12 + 24 - 47*u - 12 - 40*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -33*w**2 + 89*w**2 - 29*w**2 - 28*w**2. Let j(r) = 2*r**2 - 4 + 4. Determine j(m(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2594 > -121852\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 645822.\nAnswer: -1\/322911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-78) - (-14)\/(-147)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 186*v**2 - 481*v. Give u(3).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-665)\/285*(-3)\/(-6)*6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23 + (14\/(-2) - -3). Let q = -24 - x. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1154 + 16156?\nAnswer: 15002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*v**3 - 12*v**3 + 24*v**3 + (-v**2 + 0*v**2 + 2*v**2)*(-2*v + 1 - 1))*(-2*v - 2 + 2) in the form h*v**2 + r*v**3 + m*v**4 + c + t*v and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let w be n - 0*(2 - 1). Let h = -5 - -5. Solve -w*s = 2 - h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:06 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c + 2*c**2 + 4*c + 2 + 0*c**3 - c**3 + 10*c**2. Let o be t(13). Solve o*n - 7 = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370946717 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709503007 - 2*j**2 - 709503007.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 41*x**2 - 23*x + 39. Let v be s(40). Let o = v + -718. Which is smaller: o or 1\/340?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*k - 285 = 0, -6*k - 4 = -8*k. Suppose -232 = -5*o + r. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1322 + -290. Suppose 0 = -355*t + 352*t + f. Calculate the highest common divisor of t and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259 by 110.\nAnswer: 259\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(3\/5))))**46 assuming o is positive.\nAnswer: o**(368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33781, 67561, 101341, 135121, 168901?\n\"Answer: 33780*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4110811231.\nAnswer: 4110811231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/35 + (-108)\/(-28). Solve n + 3 = w*i, 3*n - 3*i - 2 = -2*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -486*y**5 + y**4 - 1491*y**3 + 11657275*y**2 + 4*y?\nAnswer: -29160*y**2 + 24*y - 8946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9080 take away 1?\nAnswer: -9081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let q(p) = 2*p. Let f(l) = 3*k(l) - q(l). Let s(d) be the third derivative of 5*d**4\/12 - d**3 + 18630*d**2 + 3. Give s(f(w)).\nAnswer: 10*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405, -397, -383, -363, -337, -305?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74 + -3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 49054313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2))**(-49)*(n**6*n)\/((n*n**(2\/11)\/n*n)\/n))\/((n**(-1\/4))**(-2\/11)*(n*n**(2\/3))\/(n\/(n**(5\/2)\/n))) assuming n is positive.\nAnswer: n**(-1313\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**3 + 0*b**4 - 59 + 0*b**5 + 13\/3*b**6 + b + 12*b**2. Find the second derivative of a(m) wrt m.\nAnswer: 520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*d + 3*d + 326 = 0, 3*u + 3*d + 336 = 0. Let y = u + 163. Let w = 84 - y. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = -12. Suppose -h = h - x. What is the third derivative of -5*d**5 - 2*d**h + d**5 + 2*d**5 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 - 17*k + 3. Let n be q(-3). Solve n = -3*v + 5*h - 24, -v - h - 4*h = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69732 and 29916?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -324, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + 186. Suppose -g = -4*z - 2. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3048 and 172566?\nAnswer: 87663528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-11)\/6)\/((-8)\/(-3)) and (1659\/(-14))\/(-30 + 6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 + -103. Suppose j*u = 2*g - 2, 3*u = g + u. Suppose 4*f - 1100 = 4*t, 3*f - 359 = g*t + 466. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -w + 31, -2*w + 8 + 51 = 3*d. What is the common denominator of 125\/6 and 303\/60 - 21\/w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1375 and 495.\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6073 + -26?\nAnswer: 6048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1017, -1074, -1131, -1188, -1245?\n\"Answer: -57*s - 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -8*o**7\/7 - o**5\/5 - 21*o**3 - 11*o**2\/2 - o + 1036. Find the third derivative of n(i) wrt i.\nAnswer: -960*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w - 6. Let g be p(4). What is the highest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 622 - 617. Solve -6*l - 3*f - 25 = -l, 0 = -l + f - c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48697)\/1254 + (-2 - -41)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -39. Let f be l\/56 + 24\/231. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100011011111?\nAnswer: -100011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -258, -1038, -2364, -4242, -6678, -9678?\n\"Answer: -t**3 - 267*t**2 + 28*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303362274, -303362275, -303362276, -303362277, -303362278?\nAnswer: -303362279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13642981, -54571895, -122786751, -218287549, -341074289?\n\"Answer: -13642971*c**2 - c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 19 = 2*s - 0*s, -r = s + 6. Let z(c) = -c**2 - 9*c + 2. What is the least common multiple of z(r) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 3*h**3 - 6*h)*(-2*h + 4*h - 3*h) - h**4 - 2*h**3 + 2*h**3 + 0 - h**4 + 0 + (4*h**4 - 2*h**4 - 4*h**4)*(2 + 3 - 7) - 6 - h**3 + 2 - h**4 + 5.\nAnswer: 4*h**4 - h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71548960537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486 - 7*i**2 - 15*i + 15*i + 8*i**2.\nAnswer: i**2 + 486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 12}. What is prob of sequence zc?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -626 + 1254 - f - f - 628. Let h(d) = -d**2 + 327*d. What is h(w(v))?\nAnswer: -4*v**2 - 654*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 12:09 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*x - 1640. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.33. What is the second biggest value in -0.2, 5, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - -29) + 1 + 3 + -6 + 4 + 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.5, -16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -459 - -462. Suppose 3*y + 16 = j + 20, -h*j - 12 = -3*y. Factor -5\/2*o + 33\/4*o**2 + 7\/4*o**3 + y.\nAnswer: o*(o + 5)*(7*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytttyt. What is prob of picking 3 t and 1 y?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 + ((24 - 20) + (-7 - -4) - (0 + 3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24110004003 + -10?\nAnswer: 24110003443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 12. Let n be d(-12). Suppose n = v - 3 - 5. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 28, 59, 102, 157, 224, 303?\n\"Answer: 6*w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/60 - 3*k**4\/4 + k**3\/3 - 4*k**2. Let t be h(-18). Solve -t*p + 3 = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5211023 (base 6) in base 5?\nAnswer: -31002414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587034 a multiple of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/4 - 15\/(-60). Suppose -5*d + 243 = -j*q - 167, 2*q = d - 87. Suppose -1 = -3*p + d. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*a**3*g**2 + a**2*g + g**2 + 140 wrt a?\nAnswer: 114*a**2*g**2 + 2*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 6813, 40?\nAnswer: 6813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 18*m**2 - 33*m**2 + 1 + 22*m**2 to b + c*m**2 + v*m and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + 1*sqrt(475) + sqrt(475) - sqrt(475))**2 + sqrt(475)).\nAnswer: -1425 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 32, -5, -5\/4, -2\/415, -0.2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**3\/3 - b**2\/2 - 8*b - 27. Give o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240236.\nAnswer: 2, 19, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 9:06 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.335707 decades in centuries?\nAnswer: 0.4335707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/5094489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucu when three letters picked without replacement from eejueccucuaujcjeejc?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 14.907, -5?\nAnswer: 14.907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 50516 - 50648 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 2839*k**5\/60 - 340*k**3\/3 + 1607*k**2. What is the derivative of j(a) wrt a?\nAnswer: 5678*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -299\/9 - -33. Suppose -2*z = -0*z. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471592963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/9 + 9616*w**3 + 86482*w**2\/9 - 865420*w\/3 = 0. Calculate w.\nAnswer: -43271, -6, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102584221 to the power of 1\/2, to the nearest integer?\nAnswer: 64051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 30 = 21*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 515513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(112) - (sqrt(112) + 1)*2) + -2 + (2 + sqrt(112))*1)**2*-1.\nAnswer: -128 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34861810789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) - (sqrt(7) + -5))*4 + 4)**2.\nAnswer: 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. What is m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9896, -19852, -29804, -39752?\nAnswer: -49696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5896975.7788 and 0.4.\nAnswer: -5896975.3788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 101*x**2 - 2*x - 2. Let g be c(2). Suppose 1336 = 33*f - 66*f + 41*f. Let y = g - f. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 3*n + 13. Let k(g) = 2*g**2 - 21*g - 1. Calculate the remainder when n is divided by k(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5356)\/839553*66\/(-4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17154 is divided by 1144.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0 + sqrt(567) + -2)*-6 - ((sqrt(567)*-1*6)**2 + sqrt(567))*-2)*-2.\nAnswer: -81672 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 4532 = 13*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(-2*sqrt(6) - sqrt(6)))\/(-5*sqrt(4)*-1 + sqrt(4)) + 3)**2.\nAnswer: -sqrt(7)\/3 + 2923\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 944 - 3893*u**2 - 1816*u**2 - 944 as s*u + h*u**2 + c and give h.\nAnswer: -5709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13368155 is divided by 1827?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -3.1. Let h = 0.1 + y. Round h to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 8*r - 5*r**2 + 2*r**2 + 10*r**2.\nAnswer: 2*r*(5*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -7, -5, -0.7.\nAnswer: -7, -5, -1, -0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -266449.75.\nAnswer: 2664497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -428 + 983. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89208, 2, 32, 1 in increasing order.\nAnswer: 1, 2, 32, 89208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -651*x + 89838. Let f be b(138). Let m = 191\/3 + -63. Let h = -44 + 63. What is the nearest to m in f, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336498 and 1207.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4868 - 2*u**2 - 4868. Let q(h) = -11*h**2. Give n(q(i)).\nAnswer: -242*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 5*g**8\/168 + 39*g**7\/70 - 2319*g**5\/20 + 4*g**2 - 12*g + 21. What is the third derivative of k(t) wrt t?\nAnswer: 600*t**2 + 2808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.305907 and -3?\nAnswer: -3.917721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u + 2. Let p(z) = -z. Let i(h) = 6*p(h) - s(h). What is the first derivative of i(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -285*k**4 - 595*k**2 - 20*k + 20. Let i(l) = -41*l**4 - 85*l**2 - 3*l + 3. Let t(o) = -3*h(o) + 20*i(o). Find the third derivative of t(g) wrt g.\nAnswer: 840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**4*v - 3*b**4 + 115*b**3*v - b**3 + b**2 - 3*b*v - 32772*b wrt b.\nAnswer: -48*b*v - 72*b + 690*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1434427791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 2, o: 6, c: 3, h: 4, g: 4}. Give prob of sequence gb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21906020 by 5.\nAnswer: 4381204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 35*h = 15. Suppose h*i = -i + 180. What is the remainder when i is divided by (-48)\/9*(-4 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = -3*p, 2*u = -0*p - 5*p + 27. Suppose -p*b = -0*b + 15. What is the nearest to b in -1, -2, -0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.652 + -0.448. What is m rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*687267.2\nAnswer: 96217.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 433, 644, 853, 1060, 1265?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-5) + 1\/5. Suppose w + 8 = 5*q - 0*q, 4*q - 12 = -2*w. Suppose -j = -q*l + 13. Calculate the remainder when 21 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -9\/2765?\nAnswer: -9\/2765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - s - 19)*(0*s - 2*s - s) + s**2 - 3*s**2 + 5*s**2 + (3*s**2 + 0*s**2 - s**2)*(-4 + 5 - 3).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let q(f) = f**2 + f - 1. Let z(y) = -212*y**2 - 159*y + 159. Let g = -224 - -65. Let o(d) = g*q(d) - z(d). Give w(o(b)).\nAnswer: 106*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28652 - -28893. Calculate the remainder when 523 is divided by j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 4*x**2 + 8*x - 18. Let a be m(-6). Solve 37 - 31 = a*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 3*f + 4. Let u = 49 - 13. Suppose -2*a - 4*s + 20 = 0, -5*s - 11 = -5*a - u. Let t be j(a). Sort 2, -4, t in descending order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.169? (a) 3 (b) 1 (c) -81 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(78)*2*3)\/(-5*((sqrt(96) - -2*sqrt(96)) + sqrt(96) + sqrt(96) + sqrt(96)) + -4*sqrt(96)*-2).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**2 - 2*k + 4. Suppose 0 = -4*n + n + 75. Suppose x + c = -3*x - n, 4*x + 5 = 3*c. Let r(l) = 7*l**2 + 2*l - 5. Calculate x*h(s) - 4*r(s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.273 + 181.273. What is the fifth biggest value in -2\/17, 2, -4, -2\/3, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 7*f + 9. Let g be v(-6). Suppose h + 20 = 5*z, 4 = g*z - 2*h - 15. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52696 - 52697. Suppose -2*a = -2 - 0. Sort -5, 0, a, s in decreasing order.\nAnswer: a, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 1.3. Let s = -9917 - -49587\/5. Which is the second biggest value? (a) 1\/3 (b) s (c) k (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or 4\/5617?\nAnswer: 4\/5617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 7, b: 1}. Give prob of sequence kkb.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -242. Suppose m = -4*w + 6*m + 1090, -m = 3*w - 827. Let o = w - y. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 2, f: 12, o: 4}. What is prob of sequence folf?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2982194581 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6858271527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -74 (b) -2 (c) 0.3 (d) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/(-48))\/((-4)\/(-16)). Calculate the common denominator of 87\/10 and (-622)\/644 + u\/21.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202120 (base 3) to base 16.\nAnswer: -22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258335014 divided by -2.\nAnswer: -129167507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*x - 1622 = -566 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7. Suppose 2*f - c - 11 = -f, z = -2*f - 4*c - 16. Suppose 4*t + 2*k = 1710, f*t + t = -4*k + 1285. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 831540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 370*o**2 - 1004*o + 504.\nAnswer: (o - 2)*(o + 126)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 - 3*o**4 - o**4 - 4 - 1 wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40838749 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90151951 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1002, -807, -622, -453, -306, -187, -102, -57?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**8\/280 + 4*x**7\/525 + 2*x**6\/75 - x**5\/25 - x**4\/12 + 2*x**3\/15 + x**2 - 7. Solve v(m) = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32375 divided by -65.\nAnswer: 6475\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s. Let n(z) = z + 11. Let y(t) = 1. Let l(j) = -6*n(j) + 66*y(j). Let o(k) = -5*a(k) - 6*l(k). Let c(d) = 8*d**2. Give c(o(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9563028 and 36204?\nAnswer: 5172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2239 + -2239.01. Which is the biggest value? (a) -1 (b) -3\/5 (c) 4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 5*i**4\/4 + i**3\/3 + 5. Find the third derivative of u(r) wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 0*o**2 - 4*o**2 + 8*o**2 - 5*o.\nAnswer: 4*o**2 - 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3423994 - 1197.14.\nAnswer: -3425191.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 23. Is (d\/12 + -2)*4431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199 and 360841128?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -1\/4, 0.05, -0.094?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 2*b**2 - 20. Let v be n(0). Is v greater than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 0, -0.2, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 + k**2)*(-12 - 2 - 1) + 2*k - 2*k - 7*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoupoffuofffox. What is prob of picking 1 p and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let h = -2 - -8. Let r be t(h). Solve -3 - r = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1158, -886, -614, -342, -70?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 71, -1\/4, -15.8?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*i**3 - 22243*i - 8072121?\nAnswer: -132*i**2 - 22243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + t + 20 = 0, 4*d + 20 = 2*d - 4*t. Let l be -3 + d + 5 - (0 + -4). Let b = 55 + l. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.496 rounded to one decimal place?\nAnswer: -52.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -90.17. Let r be 10\/(-4)*(-1)\/(-5). What is the smallest value in -1, h, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.09399, 2, 5, -4, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**4 - 1536*q**3 - q**2 + 114*q + 881020 wrt q?\nAnswer: 4*q**3 - 4608*q**2 - 2*q + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32947 - 329507\/10. Let h = 843\/13 - 65. Find the common denominator of t and h.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 2. Is p bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 10. Let o be s(-7). Suppose -o*q = 2*q + 95. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112*381550.\nAnswer: -42733600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 19*x + 20*x - 1, a = 3*x + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -84\/505?\nAnswer: -84\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**9\/k*k)*k\/(k\/(k\/(k*((k*(((k\/(k\/(k\/k**(-4\/9))))\/k*k)\/k)\/k)\/k)\/k))))\/(k**(-9)*k**(1\/8)))**(-6\/25) assuming k is positive.\nAnswer: k**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Let q be 13\/5 + -4 + (-22)\/(-5). Let f = q + g. Calculate the least common multiple of f and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146218533 to the nearest integer?\nAnswer: 12092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1271 - -1872. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -7. Suppose y = -i + 4*m - 6*m - 6, -3*m - 3 = 3*i. Let t be 1\/i - (-15)\/36. Is 0.2 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y = 359 - 2067. Which is the second smallest value? (a) -2 (b) y (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 6*f + 63*f**3 + 5*f.\nAnswer: 63*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938.737398 rounded to one decimal place?\nAnswer: 1938.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 107*w. Let g(j) be the second derivative of -j**4\/2 + 11*j - 2. What is z(g(a))?\nAnswer: -642*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 3897 = 65691. What are the prime factors of m?\nAnswer: 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2. Let i(n) = -3844*n**2 - 8*n + 8. Calculate i(j(q)).\nAnswer: -34596*q**4 - 24*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 1\/4, -666256, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnlr when four letters picked without replacement from {y: 6, l: 3, n: 6, r: 4}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - g + 0)*(-2*g + 3*g + g) - g**2 + 0*g**2 - g**2 - 57*g - 327*g**2 + 57*g)*(-2*g + 4 - 4) in the form c*g + t*g**2 + i + s*g**3 and give s.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = -8. Let p = f + -4. Which is bigger: 1\/6 or p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 38907560*g + 189224778144200.\nAnswer: 2*(g - 9726890)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*x**2 - 96 - 76 - 25*x**2 in the form h*x**2 + c + l*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1095918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1264)\/948)\/((-28)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-2)*(-2692)\/(-11441).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**22*x**7*((x*x**(-2\/3)*x*x)\/x)**(-6\/25) assuming x is positive.\nAnswer: x**(717\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 3. Let v be b(2). Let q = v - 1. What is the smallest common multiple of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 11*x**2 + 15*x + 28. Let q be u(-12). Let p(j) = j**2 + 7*j - 4. Determine p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354098 divided by -99.\nAnswer: 354098\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by 34\nAnswer: -78\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q - 1408 + 4948 = 0. Suppose 4*w + 6 = -18. Let c be w\/(-9) - (-210)\/9. What is the greatest common divisor of q and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55473258, 55473255, 55473252?\n\"Answer: -3*u + 55473261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2. Let s(x) be the second derivative of 5*x**4\/6 - 14*x. What is s(v(t))?\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 7321108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, 56, 5, -23 in increasing order.\nAnswer: -82, -23, 1, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7692)\/380754)\/(1*2).\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 + 3*m**2 - 3*m + 46. Let r(w) = -7*w**3 - 4*w**2 + 3*w - 45. Let a(c) = -4*b(c) - 3*r(c). Calculate a(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/111 and -46\/15059?\nAnswer: 45177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57, -23, 15, 27, -17, -147, -393, -785?\n\"Answer: -5*h**3 + 32*h**2 - 27*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 501517\/5 or 100302?\nAnswer: 100302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q)**(-23) assuming q is positive.\nAnswer: q**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = -x + 8, x - 19 = -y. Calculate the remainder when 18 is divided by 1\/(1*2\/x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1214 + 1216. Let r be (27\/(-2))\/1*-2. Find g, given that -3*g**3 + 25*g**s - g**2 + 16*g**4 - 6*g**3 - r*g**3 - 4*g = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33aa - -321?\nAnswer: -3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.028 + 10. Let h = 2.272 - k. Let l = 2.7 - h. Sort 2\/7, l, -5 in descending order.\nAnswer: l, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 3:00 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 - 4*c**3 - 91*c**2 - 2*c**3 + 7*c**3 - 17*c**3 to the form a + u*c + m*c**2 + l*c**3 and give m.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*i - 0*m + 4, 4 = 4*i - m. Suppose -5*a + 4*g = -175, 3*a - 5*g = -i*a + 92. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.9182367 rounded to three decimal places?\nAnswer: -175.918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -463.3 and -0.2.\nAnswer: 92.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1662624704217 + -0.251.\nAnswer: 1662624704216.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 - 15*n + 46. Is 53 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 - 7*a - 9. Let j(z) = 7*z**2 - 6*z - 8. Let d(i) = 6*j(i) - 5*s(i). Let v be ((-2)\/4)\/((-2)\/12). List the prime factors of d(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -33476.948?\nAnswer: -33476.948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -314*i**3 + 2*i**2 - 34*i - 107. List the prime factors of f(-3).\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 - -2 - (5 - 14) - (23 + -96).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 5*n**2 - 5*n. Give m(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1839700 to the nearest ten thousand.\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11538 and 16192942.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4039\/55 + 773\/10. Let g = -433 - -439. What is the common denominator of 474\/(-40)*g\/18 and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -0*a - 5*j + 204 - 211, 9*a - 62 = 2*j for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -169604, -3, 0.4 in ascending order.\nAnswer: -169604, -3, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2669 = -76*l + 233*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5891543.\nAnswer: 7, 613, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 233834 (base 9) to base 14\nAnswer: 39383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 67051498?\nAnswer: -804617976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 152*r**6\/3 - 416*r**3\/3 + 2*r - 1202. Find the third derivative of g(p) wrt p.\nAnswer: 18240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 41*c - 31*c - 8 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89981596 or 89981598?\nAnswer: 89981598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -57705*m - 577049. Determine t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1921)\/((-2)\/(-8)). Let j = -190235\/26894 + l. Find the common denominator of j and 9\/(-3) + 95\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 5 - 41*(-5 - 56). Let o = x - 1214. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*(-42)\/63*205\/1353?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60647101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 379.602 weeks?\nAnswer: 229583289600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 92461059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 2*l**3\/3 + l**2. Suppose 0 = -4*v - z + 25, 26 = 5*v + 2*z - 9. Calculate d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 10799.77 milligrams?\nAnswer: 0.01079977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/10*4\/3. Find the third derivative of f**2 + f**3 - 5*f**i - f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*w**2 - 3 + 3 + 608*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 25. Suppose 0 = -74*r + 67*r + 42924. Is r\/16 + (-15)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-399)\/684)\/(8683\/(-152) + 16).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 15 = -3*t - 11*f, 2*f - 6 = t. Sort 0.3, 5\/49, t in descending order.\nAnswer: 0.3, 5\/49, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851, 727, 401, -229, -1265, -2809, -4963?\nAnswer: -7829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000738755 rounded to 7 dps?\nAnswer: -0.0000739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 + 2*k + 5. Let r(z) = 4*z**3 + 5*z**2 - 7*z - 20. Calculate -r(d) - 4*t(d).\nAnswer: -8*d**3 + 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v + 4*v + 0 + 3 - v. Suppose -4 = -4*b - 24. Calculate the remainder when w(b) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108.7899 - -192232.\nAnswer: 192123.2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/55)\/(1\/(110 - -5)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = -1. Let u be -2*x*15\/(-6). What is the units digit of u - (-1 - -2)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 minus -0.3?\nAnswer: -160.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j - 34. What is the smallest common multiple of d(-8) and 13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -8274907?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**2 + 9*b**2 - 7 + 12*b**2 - 9*b**2 + 10*b. Let a be 0 + ((-8)\/(-2) - -2). Is i(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 24261450 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*p + 25 = 0, -2*p - 6 = -n - n. Suppose -4*t = -0*t - 20, -3*y + 5*t = 34. Which is the fourth biggest value? (a) -5 (b) y (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - 2. Let m = -10 - f. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j)**(-2\/13)*(j\/(j*j*j**(3\/8)\/j*j)*j)\/j**(-12) assuming j is positive.\nAnswer: j**(1241\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, x: 1, t: 3, c: 5, w: 4}. What is prob of picking 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -63. Calculate the greatest common factor of 232 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189088 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*x = -35, -3*n + 4*x - 3*x = -21. Suppose n = 4*d - g, -20*d - g = -19*d + 2. Solve 2*a + 1 = -c - d, 5*a + 3*c = -7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 188 + -310. Let q = g + 1221\/10. Which is the nearest to 1? (a) 1\/2 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:10 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 + 5*j + 2. Let a be u(-2). Is 2*20470\/a - (-37)\/222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**2 + t**2 - 18*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 346 - 104 - 121 - 121.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p**3 + 12*p**3 - 6*p**2 - p**4 - 54*p**3 to the form n + o*p**3 + q*p**4 + y*p + v*p**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n - 10. Let f be -12*(-3)\/6*2\/3. Let g be w(f). Solve y - 5*o + 15 + 9 = 0, -3*y - 3*o = -g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*b + b**2 + 15*b**3 + 17*b**3 - 60*b**3 + 16*b**3 + 6 + 11*b**3.\nAnswer: -b**3 + b**2 + 105*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602 smaller than 7600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -3.8419?\nAnswer: 0.153676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/10 and 1 + 1 + (-12)\/240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (653 - 326 - 184)*(1 + f - 1).\nAnswer: 143*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p - 12. Suppose 68 = 3*o - 4. Solve 3*y + 21 = 3*c, -4*c + o = -p*y - c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 30*j**2 - 2*j - 9. What are the prime factors of i(-30)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14\/33 (b) -0.3 (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Let p = -2 + r. Suppose l = -p*j + 21, -l - 2*j = j - 20. What is the remainder when 44 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68608*c*u + 758*c*v - 16*c + 2*u*v wrt u?\nAnswer: 68608*c + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + x)*(5*x**2 - 11*x**2 - 2*x**2)*(172 - 250 - 86).\nAnswer: -2624*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from iavsinad?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 16. Let u = -0.2 + 0.1. Which is greater: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 6*i - 4. Let m be r(-6). Let w be m\/(-18) - (-26)\/(-36). Which is the second smallest value? (a) w (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8790*j - 8747*j = 430 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let s(f) be the first derivative of -9*f**4\/2 - 14*f - 14. Let c(u) be the first derivative of s(u). Give c(o(j)).\nAnswer: -216*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/6, 16, 0.3, 0.2 in increasing order.\nAnswer: -1\/6, 0.1, 0.2, 0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11766362 > 11766362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 54.19. Let y = 5 - g. Let a = -0.29 - y. What is the smallest value in 5, a, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from {g: 10, v: 9}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 606449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + (-96)\/(-10). Let q(m) = m**2 - 11*m + 12. Let x be q(h). Solve -x*t + 2*z - 2 = 0, 0 = 3*t - 5*t - 3*z + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**7)\/o)\/o*o)\/o**(2\/3)*(o**0\/o)**(-1\/10)*(o**(-7)*o**(-7))**(-2\/53) assuming o is positive.\nAnswer: o**(11069\/1590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29868564 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/18 and -97\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*61\/(5673\/775)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/145)\/(16266\/13555)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28017249541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 12. Suppose -z + q = -1. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3567006 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {u: 1, b: 1, j: 5, q: 1, y: 4, t: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*s + 1, 3*j = 3*s - 4*s + 19. Let x(l) = -l**3 + 8*l**2 - 3*l - 24. Let i be x(s). What is the greatest common factor of 20 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576631661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -279. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1097\/8 + 12051\/88. What is the third smallest value in -2, q, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117376648 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1400)\/(-400))\/(357\/12)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (71 - ((-8 - -4 - 3) + 9))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11331112 - 0?\nAnswer: -11331112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -20. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*d + 202*d = 1389 - 8191 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -18*f**4 - 8*f**2 - 5*f - 375. Let w(h) = -9*h**4 - 4*h**2 - 2*h - 188. Let v(m) = 2*l(m) - 5*w(m). What is the first derivative of v(a) wrt a?\nAnswer: 36*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m - 2*k + 3, 3*m + k = 0. Let v be 3\/6*(m + 1). Solve v*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/180 and 9\/12740.\nAnswer: 114660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1100373314 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22802125 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1211.018 + 1211. Which is smaller: -0.071 or t?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90478 and 126122.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 20. Determine m(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5.5. Let t = -2 - -1.7. Let p = 2 + -2. Sort j, p, t in decreasing order.\nAnswer: j, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 70. Let x = b - 11. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3472, 3475, 3480, 3487, 3496?\n\"Answer: n**2 + 3471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440278, -440270, -440262, -440254, -440246?\nAnswer: -440238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (13 - (0 - -5)) - 11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/(-52)*(-3)\/(-21).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 104, 158, 212, 266, 320?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 19 = 88 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(140)\/(sqrt(28)\/sqrt(36) - sqrt(7)))\/(((sqrt(360) - (-2*sqrt(360) - sqrt(360))*3) + sqrt(360))*-3) + 2.\nAnswer: -sqrt(2)\/22 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -113, 0.02, 2, -0.07, -3, -1\/9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(588) - (sqrt(588)*-2 - sqrt(588)) - sqrt(588))\/(-1*sqrt(12)\/sqrt(3)))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -16) + (4 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.035*-2682\nAnswer: -93.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*n**4 + 0*n**3 - 6*n + 182*n**4 - 4*n + 8*n + 2*n**3 as f*n**3 + t + z*n + o*n**2 + i*n**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4142 - 1421. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2814 or 2840?\nAnswer: 2814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 1, b: 2, m: 1}. Give prob of sequence sbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 298 + 96 = -114 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 - -158. Let o(i) = y + 166*i - 5 - 82*i - 73*i. Let f be 4\/3*(-12)\/(-8). Determine o(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202196.\nAnswer: 2, 50549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*a**3*v**2 + 781111*a**3 - 4*a*v**2 + 105176069*a wrt a.\nAnswer: 360*a*v**2 + 4686666*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 11. Let u be v - -2 - 10\/(-2). Let g be (-36)\/(-21) + 8\/28. What is the biggest value in -3, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 3*c**2 + 3*c + 4. Let x be j(-2). Let p(g) = g**2 - 7*g + 4*g + x + 0*g**2 + 2. Let t be p(3). Solve -m - t = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 + 3*l - 9. Let z(m) = 3*m**2 - m + 3*m - 4 - 7*m**2 - 4. Let o(w) = 5*r(w) - 6*z(w). Calculate o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2751, 10985, 24705, 43911, 68603, 98781, 134445?\nAnswer: 175595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -270397, -1081581, -2433553, -4326313, -6759861, -9734197?\n\"Answer: -270394*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 + -39 + -44 + (3 - -8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let n(b) = b**2 + 32*b + 3. Determine -n(h) - 3*w(h).\nAnswer: -h**2 - 35*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3436*h**3 - 11512*h**3 + 3732*h**3 + 3821*h**3.\nAnswer: -523*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 491000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -20. Suppose 0 = -z*l - 4*l + 20. Solve 5*b + l = -t, -5*t - 5*b = 4 + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.1731 millennia to years.\nAnswer: 955173.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 17 = 13*t. What is the second smallest value in 18\/17, -5, t?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 12:52 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 33750 + 3*j**3 + 33800 - 3*j**2)*(1 - 4*j**2 - 1).\nAnswer: -4*j**5 + 12*j**4 - 200*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4458784, 8917569, 13376352, 17835133?\nAnswer: 22293912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1655432 = n + 1269739. Let k be (-2)\/(-63)*n\/42. Let z = -2211 - k. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*o + 20*o**2 + 52*o)*(3 + 2*o - 3 + 0*o - 2*o + o + (2*o + 1 - 1)*(-2 + 2 + 2) + 0 + 0 - o).\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*f - 58*f + 30. Suppose -s - 580 = -f*s. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -45.5. Let l = 6.4 + y. Let u = 0.1 - 0.1. What is the closest to l in u, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.132 + -28947100.83.\nAnswer: -28947100.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -120 (c) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(45) + 3 - -5*(sqrt(45) + 2)*-3.\nAnswer: -54*sqrt(5) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, 21, 1, -3, -28 in decreasing order.\nAnswer: 21, 19, 3, 1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119746.\nAnswer: 2, 11, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672291.\nAnswer: 569, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -65849621.\nAnswer: 65849621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-25))\/((-55)\/(1430\/(-156)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1558*o**2 + 8*o.\nAnswer: -2*o*(779*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*b - 245, -w - 4*w + 248 = -4*b. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**7\/840 - u**6\/60 + u**5\/60 + u**4\/8 - 155*u**3\/6 - 2*u - 2. Let m(j) be the second derivative of k(j). What is m(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/3670182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -18 in decreasing order.\nAnswer: 4, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**8)\/i*i**(-2\/3)*i**(-2\/3)\/i**(-6) assuming i is positive.\nAnswer: i**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4\/3 + 172*s**3\/3 + 100*s**2 - 1132*s\/3 + 656\/3 = 0.\nAnswer: -41, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1443 and 16915327.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1254 divided by -129457\nAnswer: 1254\/129457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.03 - 0.03. Let x = b + -6. What is the second smallest value in 1\/8, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (122\/(-183))\/((-54)\/3483)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21767, -21760, -21731, -21668, -21559, -21392?\nAnswer: -21155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/76*151\/1057?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3096 and 64926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 5) to base 10\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 - (-8)\/4. Suppose 4*w - 2*l = 22, x*w + 7 = w - 2*l. Solve w*i = -4*d + 7, 17 - 3 = 2*i - 4*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 6. Let s = v + -7. What is the derivative of -1 + 4 - s + 3*t wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 4. Let b = 63 + -65. Let h be f(b). Solve -t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.395 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) - 0\/(-2). Let t(n) be the second derivative of 1\/9*n**3 - 7\/36*n**4 + 1\/15*n**5 + h + 1\/6*n**2 - 2*n. Factor t(l).\nAnswer: (l - 1)**2*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -3*t + 144. Suppose 0*b - t = -b. What is the second derivative of -129*v**2 - 12*v + 5*v**5 + b*v**2 wrt v?\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-353 + 917 + 425)*(2 + 5*q - 2)*(-4 + 4 + 1) to y + i*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) + -11*6303\/3267?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*-5606*(0 + 2\/12*3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.080106 micrometers to meters.\nAnswer: 0.000006080106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10063, -10048, -10033, -10018, -10003, -9988?\nAnswer: -9973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 19*z + 25. Determine v(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3317 by -80.\nAnswer: 3317\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81003254.9999997 + -81003261. Let m = -6 - y. What is m rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9769534 + -0.0230478. Let o = -2.1 - -1.1. Let g = o - i. What is g rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -100111101112?\nAnswer: 100111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2648 - 2747 - (-76 - 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2624)\/8 - -8*(-1)\/2. Let x = -231 - a. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/15 and -41\/65955.\nAnswer: 65955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20343 to 3 decimal places.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 - 3*m - 3. Let d be p(3). Let t = 533 + -615.9. Let z = t - -83. Sort z, 4, d in descending order.\nAnswer: 4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 8. Suppose n = 2*p - 13. Calculate the smallest common multiple of 10 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289722 divided by -6.\nAnswer: 48287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*t**2*u**2 - t**2*u - 21596*t**2 - 2*t*u**2 + 4*t*u + 1480*t + u**2 wrt t?\nAnswer: -44*u**2 - 2*u - 43192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 3*k = -1782 + 1947, a - 2*k = -20 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 35*i - 1. Let d(f) = -31*f + 1. Let c(g) = 4*d(g) + 3*y(g). Let r(z) = 2*z**2. Give r(c(k)).\nAnswer: 722*k**2 - 76*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -11?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -12 + 2. Let v = y - -9. Let q = 225 - 229. What is the biggest value in q, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52711859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -46, -24, 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1652914, -3305868, -4958822, -6611776?\n\"Answer: -1652954*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muui when four letters picked without replacement from {o: 3, u: 5, m: 7, a: 3, i: 1}.\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**3 - 8*y - y**3 - 8*y + 11*y**3 wrt y.\nAnswer: 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 2*l**3 + l**4 + 7*l - 4*l**4 + 5*l**4 - 8 + 7*l**4 - 8*l**4 in the form s*l**2 + f*l**3 + p*l + u*l**4 + m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 104, 0.1, -1418 in descending order.\nAnswer: 104, 0.1, -5\/4, -1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -12 + 7*k - 7*k**2 - 35801\/3*k**3. Let l be m(9). Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*g - 2155, 12*g - 9*g - 3260 = d. What are the prime factors of g?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -3)\/(-2)*-1. Let o be c + 7\/1 + -1. Is o at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19824 and 185024?\nAnswer: 555072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17997794759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = -4*i, 2*i + 3*z = 6*i - 28. Suppose 9*j - i*j - 35 = 5*h, 4*h = -j - 3. Does 7 divide 7\/(-14) + (-43)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 651, 1299, 1947, 2595, 3243?\nAnswer: 3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**2 + 2*m. Let i(r) = -9*r**2 - 3*r - 1. Suppose 1 + 38 = -13*p. Calculate p*w(d) - 2*i(d).\nAnswer: -9*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -3\/802, 349 in increasing order.\nAnswer: -4\/7, -3\/802, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/24 + 2*o**3 - 170*o**2. Determine f(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1573 + 134d?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 + 5*b + 6. Let w be n(0). Suppose w*d = 391 - 331. Solve 9*z + d = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -116 - 3*r + 136 + 5*r. Let p be v(-9). Differentiate -37*j**p - 2*j + 36*j**2 + 10 + 2*j with respect to j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let k(u) be the first derivative of -6*u**3 - 5*u**2 - 243. Give n(k(s)).\nAnswer: 324*s**4 + 360*s**3 + 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q)**(-29))**(-1\/5) assuming q is positive.\nAnswer: q**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 20*l + 18. Let b(r) = r**2 + 1. Let j(o) = -4*b(o) + c(o). Let q be j(10). Factor -36*y + 4 + 14*y + 6 - 2*y**3 + q*y**2.\nAnswer: -2*(y - 5)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4 + 2011*i**3 + i**2 + 6520*i wrt i.\nAnswer: -24*i**2 + 12066*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12)**(9\/10)*((n**(-2\/21)*n)\/n)**(9\/10))**(1\/22) assuming n is positive.\nAnswer: n**(75\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let n(o) = -o**2 - 5*o - 5. Let f be n(-2). Which is the closest to 1? (a) g (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:14 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 19, p: 1}. What is prob of picking 2 h and 1 p?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - (-26)\/(-8))\/((-24)\/256) is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5*d - 11*d + 7*d)*(3*d + 0*d - 2*d) as q*d + r + m*d**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 17}. Give prob of picking 4 k.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -4*s - 34*c + 5, 1 = s + c. Solve 3*f - 7 = -2*d, -f + s*d = 5*d - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 4*t)*(1 - 2*t - 3 - 3*t).\nAnswer: -10*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bd0b (base 15) in base 2?\nAnswer: -101110110111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6051 = -261*b + 687 - 5776 - 8696 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 6851*r - 54786. Give a(-8).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 8*n - 14. Let m be w(12). Let s = m + 57. Sort 4, -13, s in descending order.\nAnswer: 4, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2, -1\/4, -63, -2\/5 in ascending order.\nAnswer: -63, -2\/5, -2\/7, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 2*w. Suppose -4*c - 1 + 9 = 0. Let b be (0 - -8)\/(c - 0). Let p(r) = -6*r**2 - 2*r. Give b*p(j) + 5*v(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -74\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 33, -7, -85, -213, -403?\n\"Answer: -2*s**3 - s**2 + 3*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 + 3 + 1 - 2 + y**5 - 3*y**5 + 0*y**5 + (3*y**3 - 2*y**3 - 2*y**3)*(-2*y**2 - y + y) + 0*y**5 - y**5 + 0*y**5.\nAnswer: 2*y**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -34. Let u(g) = g**2 + 19*g. Let f be u(-10). Let p be ((-54)\/f)\/((-2)\/(-390)). What is the highest common factor of p and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 7. Calculate y(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(11) + (sqrt(11) - sqrt(66)\/(sqrt(54) - sqrt(6))) - sqrt(44)\/(sqrt(12)\/sqrt(3))))**2*-2.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3636*g + 144279 + 13540 = 63858 - 98747 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 3*w**5\/10 - 6079*w**2. Let n(f) = -f**2. Let j(i) = -3*i**2. Let g(a) = -4*j(a) + 15*n(a). Give g(z(t)).\nAnswer: -972*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*h - 5 = 5, 4*h = 5*d - 25 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199859 is divided by 199826.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 212*y + 1096. Let i be m(-5). Solve z - i = -17*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 20. Let x = v - -26. Calculate the least common multiple of 4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2019, 15101, 50565, 119601, 233399, 403149, 640041, 955265?\n\"Answer: 1865*u**3 + u**2 + 24*u + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-5\/6))\/(h*h**(-8)) assuming h is positive.\nAnswer: h**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**5 - 2*h**5 - 4*h**5 + (0 + h + 0)*(0*h**4 + 2*h**4 - 5*h**4) - 2*h**5 + 5*h**5 - 2*h**5 + (-3*h**4 - h**5 + 3*h**4)*(15 - 9 + 4).\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3))**(-22)*u**(-10\/7)*u**(-14))**(-11\/6) assuming u is positive.\nAnswer: u**(-649\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*q - 144*q = -4*l - 17, 29 = -3*l - 4*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = 0, -5*h + 920 = 8*q - 3*q. Find the common denominator of (-1695)\/900 + ((-28)\/6 - -4) and -1 + h\/114 - 3.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.70247303 rounded to 4 decimal places?\nAnswer: -0.7025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:42 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3813, -15219, -34217, -60801, -94965, -136703, -186009?\nAnswer: -242877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -307*w**9\/252 - w**5\/15 - w**4\/12 - 32*w**3\/3 - 3*w**2 + 93. What is the third derivative of i(y) wrt y?\nAnswer: -73680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 12*j - 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let p = 276.8476 + 0.2524. Let l = p - 277. Which is the nearest to -1? (a) -0.2 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(-1 + sqrt(1700)) + -4 + sqrt(1700) + 1 + sqrt(1700)) + 0)**2.\nAnswer: -17920*sqrt(17) + 1333824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-192)\/(-42)*(-490)\/(-28) and 220?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**7\/15120 + 35*c**4\/24 - 2*c**2. Let r(t) be the second derivative of m(t). Find y, given that r(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5 + 6*w**4 = 0. Calculate w.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81211.42 nanograms in kilograms?\nAnswer: 0.00000008121142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 57028 to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - -24) + -42 - 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-1))\/((-1)\/(-2)). Let g be ((-15)\/s)\/(2\/(-96)). Let w = g - -54. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*s**4 + 602 with respect to s.\nAnswer: -372*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b + 217. Calculate r(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 173098\nAnswer: 4\/86549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/2 - 4*d**3 - 18*d. Find the second derivative of x(f) wrt f.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/2))**(-38)\/((b\/(b*b**(-6)))\/(b\/b**(2\/9))))**4 assuming b is positive.\nAnswer: b**(-872\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 5\nAnswer: 144\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1260\/(-280))\/(2\/(-60)). Calculate the greatest common divisor of 4833 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -8 + 2 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100110110101 (base 2) to base 15.\nAnswer: 117a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*q + 3*s - 2*s, 5*s + 342 = 4*q. Let k(t) = 3 - 2 - 2 + 62*t + q*t. Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3714*r - 17*r**2 + 3714*r.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-58)*((-187749)\/(-2721) - (70 - -1))?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-22 - -43 - 11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5 and 27\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/94 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b + 4*b + 9*b**4 + 21655*b**3 - 21538*b**3 to the form d*b**3 + p + h*b + f*b**2 + i*b**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -1, 108, 261, 446, 651?\n\"Answer: -2*h**3 + 40*h**2 - 53*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*h - 3. Suppose 2*x + x - 12 = 3*o, -o - 12 = -5*x. Suppose -4*k = h*g - 4, x*g = k - 3*k + 2. Sort 3, g, -4.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6203 is divided by 156?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137888, -275799, -413724, -551663?\nAnswer: -689616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67802070 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z + 15. Suppose -a = -3*f + 19 - 5, 5*a + 3*f = 20. Is (-75)\/z*(0 + a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593 = 5*b + 608 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*l + l = -1000, z + 3*l = 200. Suppose 9*i - 4*i = z. Is i - 5 - (1 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (148\/(-222))\/(4\/(-23394))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ab0b2 (base 12) in base 7?\nAnswer: 54665411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 123\/(-17) - ((-208)\/(-520))\/((-2)\/5). Let i(v) = v**3 - 3*v**2 - 3*v + 3. Let k be i(3). Which is greater: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/72 - a**3\/3 - 16*a**2\/3 - 440*a. Find f, given that p(f) = 0.\nAnswer: -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33649*s**2 + 2*s + 940741 wrt s?\nAnswer: 67298*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(133) - ((sqrt(133) - -1*sqrt(133)) + sqrt(133)) - sqrt(133)) - -6*-1*sqrt(133))\/(2*sqrt(5103)).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5*-9\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 228.\nAnswer: 182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:33 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*s + 52 = 0, 0 = 5*x + 4*s - 0*s - 101. Calculate the highest common factor of 51 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b - 5*b. Solve 12 = u + 4*z, -5*u + 5*z + 0*z - 15 = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {d: 8, p: 3, h: 3, i: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-2)\/(-312)). Suppose -2*b + 0*b = -u. What is the greatest common divisor of 26 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + q**3)*(-2*q**2 + 3 - 3) + q**5 + 3*q**5 - 2*q**5 + (-2 - 2 + 1)*(3*q**5 + 4*q**3 - 4*q**3).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/10))\/d)\/d*d*d**1*d*(d*d**(-1\/8))**(-30) assuming d is positive.\nAnswer: d**(-487\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((120\/(-105))\/(6\/7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2\/3 (c) 5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*k**4 - 33920*k**3 + 3*k**2 + 1741754*k.\nAnswer: 2520*k - 203520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 2898389?\nAnswer: -2898396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4 = 0, 326*t - 8 = h + 323*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22016, 22017, 22018?\nAnswer: 22019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27, 0, 4, -17 in decreasing order.\nAnswer: 27, 4, 0, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -1338. Let s = -7365\/11 + c. Let f = -3276 - -26267\/8. Calculate the common denominator of f and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644463.\nAnswer: 3, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 1580*l**4 - 5 + 1 - 2*l**2 - 5*l + 1581*l**4 + 3*l in the form g*l + w*l**2 + z*l**4 + o + u*l**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k + 2. Let q(x) be the first derivative of 9*x**2\/2 - 5*x - 54. Calculate -15*j(c) - 6*q(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.46. Let d = -322.72 - 0.78. Let v = 323 + d. What is the third biggest value in v, t, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.994*44.21.\nAnswer: -2387.07474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 29*r**4 - 2*r + 9*r**2 + 30*r**4 + 26*r**4 - 116*r**4 - 2 + 33*r**4 as p*r + u + s*r**4 + f*r**3 + y*r**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v. Let h(a) be the first derivative of 2*a**3 - 104. Give z(h(m)).\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*k**5 - 2*k**3 + 77*k**2 wrt k?\nAnswer: -5040*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 17) + (-24 - 51) + 161\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2727450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58864)\/(-568))\/13 + -8?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2. Let f(v) = -2*v**2 + 129. Give f(l(s)).\nAnswer: -32*s**4 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6964 and 55\/212.\nAnswer: 369092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*(3 + -3). Suppose t = 3*d - 2*d - 3*o - 105, 0 = 2*d + 2*o - 186. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 47*m + 26. Let g be q(-24). Let v(r) = -3*r**3 + 3*r**3 - g*r**3 - 2*r**3 - 3*r**2. Let i(c) = -c**2. What is 3*i(j) - v(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -285, -888, -2031, -3894, -6657?\n\"Answer: -30*z**3 - 33*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -15*m**3 - m**2 - m. Let c(d) = d + 9. Let o be c(-10). Calculate k(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29373 - 29225. Calculate the lowest common multiple of j and 962.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 35156*q**2 - 210728*q - 562112.\nAnswer: -4*(q - 8783)*(q - 8)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2*b + 4*b)*(-4*b**3 - 8 + 8).\nAnswer: -8*b**4 - 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4*y**2 - 45*p**4*y + 76*p**3*y - 3*p**2*y**2 - 1235*y**2 wrt p.\nAnswer: -24*p*y**2 - 1080*p*y + 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -20, -36, -58, -86, -120, -160?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -33*u**2 + 232*u - 201. Give v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -24 in decreasing order.\nAnswer: 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531735642 and 4748.\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(1\/(-6)). Suppose -4*h - i*o = -4*o + 244, -o - 4 = 0. Let q = h - -117. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2048 - -1339. Suppose 0 = -5*j + 64 + 236. Let x = j - w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 31*k**2. Let h(f) = 3*f**2 + 24*f + 13. Let j be h(-8). Let l(v) = -j*v - 30*v + 45*v. What is l(s(i))?\nAnswer: 62*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -2\/3, 0.3, -41?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 4*g + 227286 - 9*g - 227330.\nAnswer: 3*g - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 63*r + 28*r + 21, -2*n + 4*r + 213 = 6*r - 7*r for n.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(68) + -1 + sqrt(68) + -5 - (sqrt(68) - 6*(-1 + sqrt(68)))) + -3)**2.\nAnswer: -476*sqrt(17) + 3621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31066, 62132, 93198, 124264, 155330, 186396?\n\"Answer: 31066*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24227 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8*s + 24. Suppose 2*v - s*v + 8 = 0. Solve -7 = -3*i + v*a, 0 = 4*i - 0*i + 3*a + 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let y(z) = 169*z**2 - 8*z + 5. Let k(p) = -6*j(p) + y(p). Suppose -11 = 17*d - 6*d. What is the tens digit of k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452012*x**2 - 225980*x**2 - 226006*x**2.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1 + 13 - (143 - 181).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from {z: 9, h: 5, p: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -164*r - 6. Determine i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((693\/(-21))\/11)\/(((-24)\/44)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 3. Let r be w(16). Let g(d) = r*d - 5*d - 11*d. Let k be g(-1). Which is the nearest to k? (a) -1 (b) -4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 84. Suppose j = -3*j. Let i be d(j). Let t be (-4)\/(25 - 704\/28). What is the highest common divisor of i and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 89158.2 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0.5. Let p = -16 + 15.9. Which is the nearest to p? (a) -4\/9 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 2 + 0 - 2. Let f be (i - -3)\/(2\/6). Let b be ((-39)\/(-18) - 2)*2. Put b, -5, f in decreasing order.\nAnswer: f, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1039 = -v - 8551, 4*v - 2*w = -38320. Suppose -k - 4*k - 142910 = 0. Let s = k - v. What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 88\/5 of a microgram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 410, 644, 878?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.904 - -1.078. Let b = 0.474 - f. Let a = -0.6 + 0.1. Put a, 0, -1.5, b in descending order.\nAnswer: b, 0, a, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 12*i**2 + 47*i + 2. Let m be h(-3). Put 5, 1, 14, m in increasing order.\nAnswer: m, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -47236 in ascending order.\nAnswer: -47236, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-322)\/(-9) + (-20)\/(-90). Let d = f + -32. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let p(d) = -2*d**2. Let m(l) = -5*k(l) - 2*p(l). Let a(j) = -3*j**2. What is a(m(c))?\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1697.74 - -1711. Round y to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26745 times -1.1503?\nAnswer: 30764.7735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*j**3 - 442062*j**2 - 63280895 wrt j?\nAnswer: -21*j**2 - 884124*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 w when four letters picked without replacement from wmmwmwmmmw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 289 - 449. Let y = -195 - c. Which is smaller: y or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -2\/5, 1, 665.6?\nAnswer: 665.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7671.\nAnswer: 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjsjsdsrjsssjjrr. What is prob of sequence rsrj?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2819 - 30971\/11. Suppose p - b = -751, -3*p - 3010 = p - 2*b. Find the common denominator of 2\/(-11) - p\/33 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i + 37*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*g - 12, 4*b + 2 + 10 = 4*g. Let f(j) be the third derivative of g*j + 1\/24*j**4 - 1\/6*j**3 + j**2 + 0. Differentiate f(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -5*x**2\/2 - 5. Let d be u(-1). Let a(i) = 3*i**2 + i - 3. Let r be a(-3). Solve r - 1 = d*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4028*t - 1420*t - 177643 = 17957 for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.036 + 4.036. Let l = -3 + g. Sort l, -7, 2 in increasing order.\nAnswer: -7, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**5 + 4*o**5 + o**5 + (11*o**4 + 4*o**5 - 11*o**4)*(-1 - 4 + 3).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 449 - 445 - o)*(-4 - 1 + 3 - 1 - 1 + 4 + (1 - 3 + 1)*(5 - 3 + 0)).\nAnswer: 6*o - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -332 >= -321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1100, 1120, 1154, 1202?\n\"Answer: 7*d**2 - d + 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.09822?\nAnswer: -0.39288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let o(v) = -23*v + 4. Calculate o(n(l)).\nAnswer: -69*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8 - 6*h + 13*h**2 - 5*h - 4*h**3 - h**3 + 4*h**3. Let d be q(12). Suppose 4*k - 116 = -d. What is the greatest common factor of 42 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - z + 1. Let n be r(5). Let t(y) = y**3 + 5*y**2 - 3*y - 4. Let p be t(n). What is the units digit of (22\/4)\/(4\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d. Solve 1 = -t - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -274 (c) -0.2 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 645698.9 rounded to the nearest 100?\nAnswer: 645700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11412 + 0?\nAnswer: 11412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -344*p**2 - p - 3. Let a be c(3). Let y = a + 12509\/4. Find the common denominator of ((-4 - 6) + 11)*-55*(-8)\/(-30) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + 1 + 6 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -57 - 60. Let m = q + 163. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 5 + 2)) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(1\/8)*j)*j**(2\/9))**(-37)\/(((j*j**2)\/j)**(1\/10)\/(j\/(j*j**(1\/2)))**(-18)) assuming j is positive.\nAnswer: j**(11863\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9146369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-272))\/(207\/(-5152)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 64*j**3 + 12*j**2 - 52*j - 40. Let w be c(23). Round w to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 5, a: 3, r: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 470*b - 1055 + 8. Solve b*l + 2*l + 20 = -p, -3*l - 4*p = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7425035 - 27190*c - 7425035 + (-3 + 0 + 1)*(-3 + 3 + c) to the form b + k*c and give k.\nAnswer: -27192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6901 + 3358. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*w = -118*w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11563 divided by -8\nAnswer: 11563\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m - 28. Let b be ((-3)\/(-6))\/(-1) - (-49)\/(-14). Let f be s(b). Let h(l) = -2*l**2 + 24*l + 14. What is the least common multiple of h(f) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.4334 and -29.\nAnswer: 650.5686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5818 = 70*c - 304*c + 8846 + 4758 for c.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**7\/840 + s**6\/90 - s**5\/60 - s**4\/12 + s**3\/3 - 1. Let i(z) be the third derivative of v(z). Let n = 4 + -2. Give i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*b**4*d**2*q - 16*b**3*d*q - 49*b**2*d**2*q - 2*b**2*d - b*d**2 + 2*b*d*q - 2*d**2 wrt b?\nAnswer: 504*b*d**2*q - 96*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/15)*g)\/(g\/(g\/(g\/g**0)*g)))**(-2\/53)*(g**(-1\/4)\/g)**(15\/11)\/(g**(1\/9)\/g**(-7)) assuming g is positive.\nAnswer: g**(-932507\/104940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9942384*p - 6050981 wrt p.\nAnswer: 9942384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 118.32 * 0.3\nAnswer: 35.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39671, 3, -293, -4.\nAnswer: -293, -4, 3, 39671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.1*-108.\nAnswer: -4006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*d = 2, 2*y - y = -5*d - 7. Suppose 7*n = 3*n + 12. Suppose 2*t = t + n. Solve 5*v + a + 4 = 0, -t*v - y - 1 = -a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 10*z + 5*z - 243.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12725 is divided by 1270.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 5\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(10\/((-32)\/(-40)*20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34763381, 34763384, 34763387, 34763390, 34763393?\nAnswer: 34763396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 + 34*j + 36. Let s be k(-30). What is the common denominator of 28\/45 and ((-2)\/(-2))\/(s\/(-894) + -10)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*225\/(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 278576*o\/3 + 19401146944\/3.\nAnswer: (o + 139288)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 378453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:01 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(2*sqrt(160)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggddgdd. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waubbwd. Give prob of sequence bw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2047*v**3 - 1077*v**3 - 979*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(684)*5)**2.\nAnswer: 427500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357)\/(-85)*(6\/15 + (-840)\/225).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51177528*h - 63062250 wrt h?\nAnswer: -51177528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/4251 and 70\/39.\nAnswer: 4251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, 0.15, 7755, -7?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b = 166*b + 302*b + 3850 + 7679 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 24630*q - 221265.\nAnswer: -5*(q + 9)*(q + 4917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 27*r + 282. Calculate y(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -758518.\nAnswer: 303407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -56833?\nAnswer: -5682c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275\/12 + 4 + 9\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -8)*(-1)\/2. Let r = -4 - -7. Find the third derivative of s**2 - 15*s**3 + 15*s**r + q*s**5 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 10*q**2 + q - 20. Suppose 0 = -z - 2, 4*g - 4*z + 34 = z. Let m be i(g). What is the highest common factor of 36 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/8 - (4 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6480248 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 10 = -335. What is the remainder when 89 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29584078*g + 27209876.\nAnswer: -29584078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 42*b + 125. Let x(w) = -32*w. Calculate x(t(a)).\nAnswer: -1344*a - 4000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*v - 54. Let j = v - -78. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 2 + (15 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287 + -279. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = -2*b + 309, -4*b - 103 = -v. List the prime factors of v.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 21*p - 140 = 0. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + o + 12 = 0, -9*o = 2*q - 5*o + 42 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*w - 12, 0*g - 2*w = 3*g - 23. Find the first derivative of 4*t - 4*t**2 - 4*t + 9 - g wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 50. Let z = 41 - 35. Suppose -d = v + 3, 4*v - d = -3*d - z. Solve g + c = 5*q, v = g - 3*q + 13 + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 105464560.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275635 divided by -55127.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 8*r**2 + 5*r - 11. Let z be k(-7). Suppose 3*m = -v + 1266, -9*v = -z*m - 5*v + 1266. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -12*d + 100. Let z be (-3)\/(-12) - d\/48. Let u = 0.14 - -5.86. What is the closest to z in -0.1, u, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 5. Let m(y) = 2*y**2 - 3. Calculate -5*m(q) + 3*p(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1877*b**2 - 1897*b**2 - 1872*b**2 - 1884*b**2 + 7492*b**2.\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*w - 5572300, 4*s + 25 = 9*s. Let l = 953430 - w. What is l rounded to the nearest 10000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 + 7*y - 7. Suppose -2*t + 2*j = -4 - 2, -5*j = 5*t - 35. Suppose 4*w + z - 19 = 0, -9 = -2*w - t*z - 4. Determine l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7562, -14810, -22040, -29252?\nAnswer: -36446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189.9 + -190. Let v = -53\/2 + 27. What is the biggest value in v, y, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461799*o**3 - 230335*o**3 - 231461*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9789737 to three dps.\nAnswer: -0.979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2 - 2 + 0 + 2*d**2. Let b(s) be the first derivative of 14*s**3 + 200. What is i(b(c))?\nAnswer: 3528*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i. Suppose i = -2*j, 3*q + 5*j - 2 = 10. Suppose -q*m = 4*p - 548, 484 = 4*p - 5*m - 82. Round p to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-7 - -16) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3606.1 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.151 - 4822558005.\nAnswer: -4822558005.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -5\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 553433803 and 1623.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 952.2154l?\nAnswer: 952215.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 35. Give t(-11).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y - 1264 = 0. Let h = -218 - y. Calculate the greatest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -0*a - 2*w, 13 = -3*a + 5*w. Solve -2 = 2*o + 5*q - 8, -a*o + 12 = q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36083688.\nAnswer: 2, 3, 23, 131, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*t**2\/2 - 18276*t + 21942.\nAnswer: -3*(t + 2438)*(5*t - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 - 68. Suppose -9*k - c = -300. Let o = k - -47. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*l + 30, -4*l + 20 = -0*j + 4*j. Suppose -4*c - j = -b, -3*c = -5*b - 0*b + 16. What is the derivative of -9*d**4 - 4 - 3 + b wrt d?\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -1 (b) 0 (c) -3\/7 (d) -56 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7932 and -786411?\nAnswer: 794343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -87. Let c = -57 + f. Calculate the greatest common factor of 324 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/w**(1\/21)*w))\/w**(-1\/5)*(w*w**10)\/(w**7\/w) assuming w is positive.\nAnswer: w**(236\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5) + -7*(-312)\/140?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 2*f**3 - f - 1. Let w = 1 + -5. Let q be (-6)\/(-10) + w\/(-10). What is r(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97939 take away -3.623?\nAnswer: 97942.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37161*l - 694086 = 29183*l for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4643197*v - 9286478*v + 4642929*v.\nAnswer: -352*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2563103, 2563152, 2563201, 2563250, 2563299?\nAnswer: 2563348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(28)\/sqrt(4))**2 + 4.\nAnswer: -8*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23659326 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1649, -2 in increasing order.\nAnswer: -1649, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) - sqrt(3))**2*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1817968, 3635938, 5453908, 7271878, 9089848, 10907818?\n\"Answer: 1817970*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303240 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/4 - ((-477)\/(-18) - 23). Solve 2*t + 2 = 4*m, 5*t - i*m - 59 + 46 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*f - 96*f + 48*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70300 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530.326ng to milligrams.\nAnswer: 0.000530326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -12. Which is the nearest to 1? (a) q (b) 2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -23558*(3 - (-429)\/(-144)). Let a = z - -1490\/3. Find the common denominator of a and -49\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/191004 and -109\/78138.\nAnswer: 1719036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 32. Let d(p) = -3*p**2. Calculate z(d(g)).\nAnswer: 27*g**4 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5760 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-23700)\/(-24)*(13 - 11) is divided by 154?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a*a**(-1)))*a*a**11)**(-1\/77))**(-13\/3))**(-38) assuming a is positive.\nAnswer: a**(-6422\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + u - u**3 + 533*u**2 - 543*u**2 to the form z + l*u**3 + o*u**2 + c*u and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 - c + 44. Let n be a(6). Find the second derivative of -10*y - 1 + 326*y**n - 21*y - 1 - 77*y**2 wrt y.\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*a**3*d - 129140*a**3 - 3*a**2*d - 22*a*d with respect to d.\nAnswer: -93*a**3 - 3*a**2 - 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**3 + 2*y**3)*(-1 + 3 + 1) - 7*y**3 - 478 + 478.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7727061\/7 or -21?\nAnswer: -7727061\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 3. Suppose 3*m - 2*y - 5 = 0, y = m - y + 1. Suppose -m = 3*i - 54. Suppose 6 = -3*n, n + i + 0 = 5*p. Calculate a(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -387 + 613 - 3*a + 389 + 784 - 440*a**3 wrt a.\nAnswer: -1320*a**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001977357142 to 7 dps.\nAnswer: 0.0001977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000200169 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**7)\/l)\/l*l*l**(-5)*l*l\/((l*l*(l\/(l*(((l**(-2\/3)*l)\/l)\/l)\/l*l)*l)\/l)\/l)*l\/l**9)**(-10\/11) assuming l is positive.\nAnswer: l**(620\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.739966623 - 1.639967153. Let n = -10.1 + f. Round n to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 51. Suppose 0 = 11*x + 2913 - 3188. Calculate k(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b - 4. Let x be 30\/9 + 3\/(-9). Is a(x) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) 0.5 (c) -1277357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1033 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1331)*1 - (sqrt(1331) + 2)*6) + 2*(sqrt(1331)*4 + sqrt(1331) + sqrt(1331))*-6)**2.\nAnswer: 16940*sqrt(11) + 7891599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (1 - (-10 - 3 - -12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/9 - 1106*b**3\/3 + 1466842*b**2\/9 - 8307082*b + 72144468 = 0.\nAnswer: 11, 46, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-31)*b*b\/b**(8\/9)*b*b**(8\/7)\/(b*b**(-2\/9)) assuming b is positive.\nAnswer: b**(-599\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 13 - 54 + 4*r + 33 - 2*r**3 - 26*r**4 - r**2 as m*r**3 + i*r + a*r**4 + g*r**2 + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -574?\nAnswer: -3\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2481121?\nAnswer: 2481121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 20 = m - 4*x, -4*m = -5*x - 6. Suppose j - m = -3*j - 4*d, 4*j = 3*d + 32. Solve -3 = 2*h + h + 5*s, 5*h - 35 = j*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 + y + 20. Let n be l(0). Let v = 29 - n. Let x = -5 + v. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/14, 1\/5, -737, -2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 9*y**2 - 19*y**2. Let i(s) = -3*s**2. Calculate q(i(x)).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynnloy. Give prob of sequence yno.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -21*j. Let h(i) = -i**3 - 15*i**2 - 13*i + 9. Let p be h(-14). Let c(k) = 5*k. Let y(w) = p*n(w) - 20*c(w). Let l(g) = -g**2. Calculate y(l(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18, -3.1, -5\/24, 2, -0.3?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 72. Suppose -5*o + 4*j + 320 = -j, -3*j - 3 = 0. What is the remainder when o is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5632024 (base 7) to base 5.\nAnswer: -134300434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, a: 3}. Give prob of sequence aa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/12 - -2 - (-17 - -10)\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*a - 2 = -9, 10 = -2*w - 4*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 0, -5\/4, 15, 3\/5, -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4845.694 hours?\nAnswer: 17444498400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:47 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 19, 11, -17, -71, -157, -281?\n\"Answer: -x**3 - x**2 + 16*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, 0, 1.\nAnswer: -18, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*i**3 - 383*i**3 - 379*i**3 - 2*i + 1157*i**3 + 2*i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, 4\/7, -0.3, 3426055?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 6. Let n be k(6). Let h be -3*3\/3 + -2. Let x = n - h. Solve -x + 25 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 161 - -77?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.29.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(-2 - 10\/(-4)) - -50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 41.9, 4, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 10:44 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133432 divided by 1745?\nAnswer: 133432\/1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47153, -361526, -1214829, -2876528, -5616089, -9702978?\n\"Answer: -44911*y**3 + y**2 + y - 2244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-4 - 448\/(-24)). What is the greatest common factor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-32 + 64 - 32)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.1 + -1.1. Let y = z + -15. Which is the smallest value? (a) 4 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493264337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 1391, 3014, 5283, 8198, 11759, 15966?\nAnswer: 20819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let n(w) = -9*w - 6. What is -n(j) - 6*x(j)?\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - n**2 - 13*n. Determine y(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*a - 4794, -1206 = -a + 19*f - 21*f. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 468\/5. Let g = 5 + -7. Let d = -3 - g. Which is the closest to 0? (a) r (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*q - 3*u, 4*q + 5*u = u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134661, -269220, -403795, -538398, -673041?\nAnswer: -807736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/6 (b) -0.1 (c) 35 (d) -5\/2 (e) 199.52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1599012 divided by -3\nAnswer: -533004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 y, and 1 i when four letters picked without replacement from iihiiyiyy?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.2, 2\/909295, 3\/4, 1\/3?\nAnswer: 2\/909295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c + 2*m, -3*c + 5*m + 13 = 0. Let p be 60\/10 + c + -2. Sort -2, p, -5 in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01345662772 rounded to five dps?\nAnswer: 0.01346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -18 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1156068 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/5 - 17*y**4\/6 - 5*y**3\/3 - y**2 - 140*y. What is the lowest common multiple of g(9) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/(-23) + 87\/1. Let n = l + -104. What are the prime factors of (-4)\/n - 1634\/(-14)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from lccchclhhclchccl?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 54644 + 27325 + 27320 + 1494*p**4 in the form r*p**3 + b*p + l*p**2 + x + v*p**4 and give v.\nAnswer: 1494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 343177968 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -171 (c) 1.52 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/(v**(-3\/7)\/v)*v**(-2\/19)*v**3)\/((v**1)**(-42)*(v*v*v**0)**13) assuming v is positive.\nAnswer: v**(2437\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -31 (b) -0.082 (c) -1.5 (d) 3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - 5210\/(-920) - 18\/(-207). Which is the nearest to 0.2? (a) 4 (b) -738\/23 (c) -1\/8 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + 41. Suppose -785 = -14*o - m. Suppose 2*a - p = o, 20 = a - 5*p - 14. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546969970*r**2 - 184802947*r?\nAnswer: 1093939940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5871603*j**3\/8 - 56327937*j**2\/8 + 12815595*j + 41181075\/2 = 0. Calculate j.\nAnswer: -1, 7410\/1399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 122, 133?\n\"Answer: 11*c + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 4 - 20\/3. Let s = -7 - -4. Is s less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 240611.2 hours?\nAnswer: 866200320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**3\/33 + 6*m**2\/11 - 18*m\/11 + 3. Factor o(q).\nAnswer: -2*(q - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1165, 4667, 10613, 19093, 30197?\nAnswer: 44015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 24. Let z(p) = p**3 + 7*p**2 + 5*p + 2. Let a be z(w). What is the units digit of (1\/3)\/((-2)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40324900*c**3*g + 637003*c**2 + 8*c*g wrt c.\nAnswer: 241949400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-8) - 7175\/(-82). Solve 0 = v*m + 55 + 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5111 at most 12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/180 + 11*u**5\/9 + 211*u**4\/12 + 104*u**3 - 3850*u**2. Let x(a) = 0. Calculate a.\nAnswer: -104, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3202 (base 5) to base 10\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 29*w**2 + w - 2. Let a be o(1). Is (5\/(-2))\/((-2)\/a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5346 - -1.4846. Which is the smallest value? (a) 1 (b) 2\/5 (c) 18\/13 (d) g (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*p - 101 - 3, -4 = w. Solve 0 = 18*s - p*s + 36 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 6*y**2 + 7*y - 3. Let g be b(5). Suppose -x = -3, -2*x = f - g*x + 24. Is (-9)\/2*12\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {k: 9, n: 2, t: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 346*u**2 + 875*u + 874. What is j(-1)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112201 - 11?\nAnswer: 112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 93223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 times -60870?\nAnswer: 24956.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 12. Suppose 4*s - 424 - 4 = i. What are the prime factors of s?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 5. Let r(y) = 10*y**2 - 14. Let s(g) = 7*p(g) - 2*r(g). What is the remainder when s(-8) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144100.\nAnswer: 2, 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7079333*d**3 + 2*d - 1965992.\nAnswer: -42475998*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 19 = 10 + 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 3*x**2\/2 - 8*x + 625. Give z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, y: 8}. What is prob of picking 1 y and 1 g?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (3 - 0) + (0 - -16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p + 10*p + 17 - 20*p)*(-p**4 + 4 - 4 + 0*p**4 + p**4 - 3*p**4 + (2*p**2 - 3*p**2 + 0*p**2)*(p**2 - 1 + 1)).\nAnswer: -4*p**5 - 68*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -242*l - 47*l - 23*l - 196*l. Let n(r) = 4*r. What is z(n(o))?\nAnswer: -2032*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -143001*u + 2156. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -318927 bigger than -318885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:49 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r**2 + 3*r + 0*r)*(-1 + 2 - 5).\nAnswer: 4*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -36*m - 28. Is 39 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 475 = -3*p, 4*p = 9*t - 4*t - 470. What is the greatest common divisor of t and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and -36184.\nAnswer: 7381536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + 0 + sqrt(192) - (-2 + -1 + sqrt(192))))**2 + 3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdxxkxkxxxkxxkxxxxk. Give prob of sequence xx.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/33 - (-8)\/(-6). Sort -6, k, -5, 2.\nAnswer: -6, -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6*r - 126 = 4*r, y = 5*r + 25. Factor -68*o**2 + 13*o**2 + 5*o**2 + 5*o**4 + 0*o**4 + y*o + 5*o**3.\nAnswer: 5*o*(o - 2)*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n = -56*n - 315 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {f: 10, m: 1, l: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -32*z + 324. Determine w(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 l when four letters picked without replacement from {j: 3, l: 5, y: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - t + 9. Let y be g(7). Let x = 352 - y. Suppose -2*u = -33 - x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*q = 308 - 281, 2 = -4*o - 2*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 1\/2824 (c) 4.6 (d) 13 (e) 2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 4, -23 in increasing order.\nAnswer: -26, -23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 15*n + 104. What is z(12)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 251470 and 110.\nAnswer: 2766170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26490, -3, 4, -4 in descending order.\nAnswer: 26490, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16*s**2 + 4*s + 12. Let v(n) be the third derivative of -n**6\/120 + n**3\/6 - n**2 + 8*n. Let m(b) = f(b) + 4*v(b). Factor m(y).\nAnswer: -4*(y - 1)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v + 0*v**3 - 32*v - 47*v + 118*v + 7*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2 + 0 + 2*a**3 - 3\/2*a**5 - 1\/2*a + a**4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 342 = 3*o, 3*d = 4*o - 3*o - 106. Let w = -101 + o. What is the second derivative of w*x - 59 - 5*x**2 + 59 wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367504 and 10258.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwll when four letters picked without replacement from yylyzwyly.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895459.\nAnswer: 3, 7, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:29 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 216900*b**2 + 5*b + 216900.\nAnswer: -5*(b - 1)*(b + 1)*(b + 43380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -53. Let s = p - 18. Solve 5*d - s*d + u = -1, -2*d - 4*u = 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-63))\/(((-104)\/(-144))\/13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 2\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-5)\/(-10) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 61\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a8 - 2408b?\nAnswer: -24133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -2, -5, 5, 6.\nAnswer: -58, -5, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1112791956 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13023 is divided by 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.98 - 53. Let b = -0.08 + q. Is b at most as big as -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**4\/24 + b**2. Suppose 4*g + 4*q - 28 = 0, -g - 2*q + 6 + 2 = 0. Let m(v) = -g*v - 3*v + 0*v + 8*v. Determine m(w(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3157 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:45 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = x + 2*f - 195, 75 = -3*x + 7*f. Let u(w) = -w**2 - 3*w - 1. Let p be u(-2). Put x, 7, p in increasing order.\nAnswer: x, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -167*f**4\/6 - f**3\/6 + 1303*f**2\/2 + 2*f - 42. What is the derivative of y(s) wrt s?\nAnswer: -668*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2110, -5814, -9518, -13222, -16926, -20630?\n\"Answer: -3704*t + 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/2 + f**5\/2 - 5*f**4\/4 - 5*f**3\/3 + 5*f. Let o(x) = 0. Calculate x.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (655\/(-262))\/(-20 + 5). Determine d, given that 1\/3*d**2 - p*d**3 + 1\/6*d - 1\/3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 32*d**2 + 13*d - 208. Is j(8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(14)\/(sqrt(7)*4) - (4 + sqrt(2) + -2))**2.\nAnswer: 25\/8 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147.\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0 + 2*k - 1\/6*k**3 + 0*k**2. Let h(b) = 4*b. Let y be (-4)\/3 + (-4)\/6. Calculate y*h(t) - 7*n(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**3 + 6*k**2 - 17*k + 116. What is o(5)?\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902.5 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 4047?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000 (base 3) to base 9.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1970053*r**4 + 2*r**2 - 375926*r + 2 wrt r?\nAnswer: -47281272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2007936*a**6 + 1808898*a**2 wrt a.\nAnswer: -240952320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 756, 1123, 1474, 1803, 2104, 2371?\nAnswer: 2598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55223359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.96 and 1742.\nAnswer: 1759.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/2 + 353*u + 18200 = 0 for u.\nAnswer: -650, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvfkzzkzkkvvkpkbbkkz. What is prob of picking 1 f, 1 b, and 2 v?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 21390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8519957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7436 by -2.\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + x - 6*x)*(-2*x - x + 4*x) - 3*x**2 + 5*x**2 - x**2 to d*x + g + w*x**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114027281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.089645 + -0.08964551661. Round i to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 20, -3*n = 2*z - 5*z + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(534\/15 + 6). Calculate the highest common factor of d and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73691687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33035 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 86 = -5*m, -2*m + 16 = -6*j + j. Let h be 4\/m + 4\/18. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341273 is divided by 4545?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/6 - n**3 - 2*n**2 - 10*n + 9. Let u(b) be the first derivative of q(b). Let u(c) = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -8.864368?\nAnswer: 5.3186208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/8)\/(22\/(-24) - -1). Suppose i**2 + 50*i + 20*i**4 + f*i**2 + 5*i**5 - 50*i + 25*i**3 = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/8*1*-2. Let m be -1 - 97\/(-5) - 0. Let d = -18 + m. Which is the closest to j? (a) 5 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 9*i**2 + 7*i + 10. Let c be (16\/5)\/(2\/5). Let y be j(c). List the prime factors of (1\/y)\/((-5)\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i - 3*i)*(0*i + 0*i - i**2) + 0*i**3 + i**3 - 4*i**3 + 17*i**3 + 29*i**3 - 18*i**3.\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36156019183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/60 - b**4\/6 - 7*b**3\/6 - 13*b**2 - 3*b. Give t(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472 + r**3 - 228 - 244.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yllllyylyylllylylll. What is prob of picking 4 l?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 4*v**2 + 2*v**5 + (-2*v**2 + 2*v**2 - v**2)*(-11*v + 11*v - 5*v**3) + 3*v**2 - 3*v**2 - 3*v**5.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y - 62*y = -15. Suppose y*i = 2*i + 3*o + 6369, 0 = -2*o + 8. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 8550792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8*o + 9. Let p be h(-10). Let x = -7 - p. Sort -3, -4, x in descending order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3988 to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 123817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79470641009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 16*b**2 - 28*b - 4. Let f be i(-14). Put f, -8, 5 in descending order.\nAnswer: 5, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -2, 5?\n\"Answer: 7*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 4*a + 5 + 0*a. Let c(k) = -k + 4. Let f(i) = i**2 - 17*i - 4. Let y be (-185)\/(-10) + (-3)\/2. Let t be f(y). Calculate t*v(z) + 5*c(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 7079532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 210*s - 113 - 106. Determine m, given that 0 - 4\/21*m - 2\/21*m**s = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173\/5 at most -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 685940 and 117720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*d + 2*d. Suppose -4*j = 7 - 123. Suppose 0 = -d*w + j + 106. What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902 - 3*t**2 + 723 - 1625.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10055576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (14 + -6 - (16 - 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kouof. What is prob of sequence ukoo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/4, 2, 0, 3 in increasing order.\nAnswer: -33\/4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 413, 458, 503?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -392540466, -1?\nAnswer: -392540466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -26. Let h be (-315)\/j - (-6)\/4. Solve k - 4*q + h = -1, 1 = 3*k - 2*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 91*t + 1661. Let g be u(14). What is the third biggest value in 2\/17, g, -23\/16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 53. Suppose 479 + 130 = r*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1066664 and 9664?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1148 + 200 = -101*f + 136 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**4 + 3*s**3*v**2 + s**2*v**2 - 8*s*v**2 + 3*v**2 wrt s?\nAnswer: 144*s**2 + 18*s*v**2 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(84\/(-40)) + 5 and 38\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -223 - -232 - ((0 - -9) + -49 + 28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-1) - ((-10)\/255 - (-40982)\/(-3162)). Let t = 3 - 0. What is the second biggest value in 4, t, h, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16691 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, 2, -300, -0.4, 2\/9 in descending order.\nAnswer: 358, 2, 2\/9, -0.4, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*f + 1 = 0, 0 = 3*v - 26*f + 21*f - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjffhhnnjhfh. Give prob of sequence hn.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 1 - 12 = 0. Let q(w) = -4*w. Let m be q(j). Suppose -5*c + 264 = -m*c. What is the greatest common divisor of 33 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 9, o: 1, t: 1}. What is prob of sequence om?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 37 + 4 = -5*r, -r + 29 = 3*l. Solve 0 = 4*m + 8 + l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -1703 (c) 4 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.3, -2, 0.1, 1\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 5 + (3 - 1 + 0)*(5 - 4 + 2) - 2 + 2 - 3)*(-5*o**2 - 4*o**4 + 5*o**2) - o**4 + 3*o**4 - 3*o**4.\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 15 = 4*i - 3*l, 2*l - 6 = 0. What is the smallest common multiple of 20 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 223*s**2 + 659*s + 47078. Calculate f(-225).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283*i**4 - 130*i**2.\nAnswer: 6792*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 8*b**2 - 2*b + 33. Let p be t(-7). Let k = -59 + 56. Sort p, k, 1, 5.\nAnswer: k, p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-630) - (-2)\/3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*f**4 - 113*f**4 + 100*f**4)*(-3*f + f + 0 + 1).\nAnswer: 372*f**5 - 186*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/4))**48\/(r*r**0)**(-43))\/(((r\/(r\/r**(-1\/10)*r*r))\/r*r)\/r**(-1)*r*r**(7\/2)*r**(-2)) assuming r is positive.\nAnswer: r**(388\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210 - -227. Solve 21*a + 20 = c*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let i(u) = -u**2 - 9*u + 10. Let k be i(-8). Let a(n) = 22*n**2 - k*n**2 + 0 + 0. What is a(f(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 + -3 + 3. Suppose f + n - 4 = 0, 2*f + n - 16 = -2*f. Let a be q\/3*(-102)\/f. Calculate the highest common divisor of 34 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.063212 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/98 and 76\/147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from ktkfktt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*l**5*p**3 - 3646*l**3*p**3 + l*p**3 - l*p**2 + 919*p**3 - p**2 wrt l.\nAnswer: -260*l**3*p**3 - 21876*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*m + 93, -3*m + 14*f - 6*f + 90 = 2*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -2\/7, -3 in increasing order.\nAnswer: -3, -2\/7, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.62142l to millilitres.\nAnswer: 64621.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.86.\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/676 and 37\/26235456.\nAnswer: 341060928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from yyyyqyyyqyyyyqqyyyyq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-14)\/(-4) - 37\/(-74). Let x(f) = 12 + 0*f + 6*f - 2*f**2 - 9*f. Let v(j) = j**2 + j - 6. Let l(c) = 7*v(c) + 3*x(c). What is l(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 11 = -4*t - 7, 3*t = k - 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)\/(u*(u\/u**(2\/15)*u)\/u*u) assuming u is positive.\nAnswer: u**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171473 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/75)\/((-90134)\/(-39765)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 - 253 + 130 - 2*s)*(-2 + 0 + 3).\nAnswer: -2*s + 157","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 - -54. Let r be (0 - -1)*(10 + 43)*-1. Is r greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22041627 (base 8) in base 10?\nAnswer: -4735895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 81. Let o be 87\/p + (-2)\/9. What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2658 and 6?\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 26 - 132)*(9 - 9 + u)*(2 + 5 - 6).\nAnswer: -231*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 (base 14) in base 7?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/23)\/((a*a**(1\/24))\/a))\/(a**30\/(a\/a**20)))**(-2\/49) assuming a is positive.\nAnswer: a**(27143\/13524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83899326 to the nearest integer?\nAnswer: 9160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let c(x) = -2*x + 4*x - j - x. What is the units digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 537, 920, 1243, 1500, 1685?\n\"Answer: -b**3 - 24*b**2 + 462*b + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*n - 30, 5*w - 61 = -4*n - 0*w. Suppose -5*m + n = -2*m. Suppose -f = -4*f + m. Calculate the remainder when 2 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1599989 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36957 = 4*l - 3*u, -17*u + 9242 = l - 15*u. What are the prime factors of l?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -8544\nAnswer: -1\/4272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h**3 - h**2 - 3*h - 3. Let p be w(-1). What is the units digit of (-313)\/(-2)*(19 + p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -14. Suppose 2 = -u*t + 13*t. What is the tens digit of 95 + (0\/(5 - t) - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16 + 12)\/(10\/180*-8). What is the highest common divisor of 20781 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/13840 and 151\/18.\nAnswer: 124560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from scesjsh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 10. Let v(d) = -d**2 - 41*d - 59. Let f be v(-36). Suppose l = -5*s + 11, 5*l + w = s + f. Calculate the greatest common factor of l and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Suppose -m = j*m. Suppose 2*p + 2 = -m. Which is smaller: p or 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1140, -1818, -1728, -486, 2292, 6990, 13992, 23682?\n\"Answer: 64*u**3 - 1126*u - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*s - 3*s + s - 6 - 4*s**2 + 3*s**3.\nAnswer: (s - 3)*(s + 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/43)*x*x**(-22\/3)*x*x\/(x*x**(-34))*x*x\/(x\/x**(-2\/13)))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110763864 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3256924, 6513850, 9770776, 13027702, 16284628, 19541554?\n\"Answer: 3256926*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 834659895 to the power of 1\/3, to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + l + 0*l)*(1685 + 803 - 198 + 595 - 518)*(-l**2 - 4*l**2 + 2*l**2) to the form k + w*l + t*l**2 + m*l**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.6 - 20. Let t = -3.75 - -0.35. Let j = t + 3.4. What is the third biggest value in -4, s, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 11403132?\nAnswer: -11403131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 25*l**4 + 27*l**2\/2 + 865*l. Let c(g) = 23*g**2 + 2. What is -27*c(k) + 2*y(k)?\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + 12?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*((-4*x**3 - 5*x**3 + 3*x**3)*(3 - 2 + 2) - 6*x**2 + 6*x**2 - 7*x**3).\nAnswer: -50*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 6, -2\/27, 66?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbcbcdb. Give prob of sequence cc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29224 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/24? (a) -4\/3 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.7 - 9.7000011. What is f rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 - -1.4. Let p be (-3)\/(-21) - 0\/2. Sort v, p, 1 in decreasing order.\nAnswer: v, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-242 - -297) + -24 + 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5202.9 rounded to the nearest 10?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-4)\/30*-5. Suppose -44 = z*t - 196. Let g = -457\/6 + t. Which is the second biggest value? (a) -1\/12 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 6. Let r(i) = -3*i - 17. Calculate 8*n(x) + 3*r(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:03 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-215 - 510 + 1446)*(11*y + 0*y + 3*y) + (1 - 2 - 1)*(y + 2*y - y) as r*y + g and give r.\nAnswer: 10090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwyddqdykkllyylqky. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 0.1, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8171956437 to the nearest integer?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 2 = 12*q. Let y be 102 - (-3 - 3*q). Suppose -r + 325 = 4*n, -2*n - y = -4*r - 257. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137543, 275088, 412633, 550178, 687723, 825268?\nAnswer: 962813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-3.5\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 279 + 5*n + 250 in the form r*n + l and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(-1 + 0 + 3)*(-3*t + 9*t - 4*t) in the form i + k*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92, 136, 180, 224?\n\"Answer: 44*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x - 13*x - 38448 = 0. Let f = x - -843. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) -4 (b) -0.16 (c) -2.6 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263132912.\nAnswer: 2, 7, 569, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2079 is divided by 406 + ((-990)\/54 - -18) + (-56)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5811 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 537 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**3 - 2*u**2 - 7*u + 8. Let y(w) = w**3 - w + 1. Let t(p) = n(p) - 6*y(p). Let t(o) = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44003.\nAnswer: 79, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 15*t - 270532*t**2 + 9*t.\nAnswer: -270532*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -1, 111, 353, 767, 1395, 2279, 3461?\nAnswer: 4983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - 1. Let s = -0.78 - -2.78. What is the nearest to 0.06 in o, s, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38936 - -38939. What is the closest to -3 in k, -12, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142133241 (base 5) in base 16?\nAnswer: -b49ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 - 4) + -5 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/6)\/(4\/6). Suppose -3*a = -2*a + 5*h - 15, 33 = 5*a + j*h. Let n = a - 1. Solve n*q + 0 = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.01, 1\/9, -2.6, 5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.432587 nanoseconds in milliseconds?\nAnswer: 0.000004432587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 336\/60 - 6\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, -4\/131, 5?\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 + 7582 = -19*j. Let y = j + 400. What is the remainder when 38 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130368585 to the power of 1\/2, to the nearest integer?\nAnswer: 11418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 3*s**2 - 7*s**3 + 2*s**4 - 248 + 250 + 0*s**2 to i*s**4 + o*s**3 + j*s + x + l*s**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1, -66 in descending order.\nAnswer: 1, 0, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*f**4 + 48*f + 2*f - 6*f + 3*f**2 wrt f.\nAnswer: 264*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137 and 7391013?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 55 = -4*h. Let p(u) = -u**2 - 10*u + 11. Let a be p(h). Suppose -2*q + 0*q + 24 = a. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:25 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13130301003 (base 4) in base 14?\nAnswer: -38b963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-30))\/((-18)\/(-162))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*l - 29 = 0, -5*j + 2*l = -2*j - 35. Let g = j + 186. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8. Let f = -78.972 + 79. Let z = f + 0.072. Which is the nearest to z? (a) 1\/4 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - 106*n + 701. Let f be o(12). Suppose -1 - 11\/4*r**3 + 13\/4*r**2 + f*r = 0. Calculate r.\nAnswer: -1, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + 11. Let q = -201 - -285. Let f = q - c. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*c + 0)*(-3*c + 6*c - 2*c) - c**2 + 3*c**2 - c**2 + (3*c - c - c)*(-4*c + 5*c - 2*c) in the form k + j*c + t*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 1334*t + 1329*t - 66, -2*t - 2*t = -5*r - 3*t - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1912, -4414, -8116, -13618, -21520, -32422?\nAnswer: -46924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c - 1 + c + 0*c**3 + 2*c**2. Let j(a) = a**2 + 9*a + 10. Let h be j(-7). Is g(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9667 and 7133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:08 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 5. Let x(s) = 10*s - 24. Let i(b) = -2*x(b) + 11*y(b). Let r be i(7). What is the tens digit of (3\/(-2))\/(((-126)\/516)\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 4. Let s be l(-4). Suppose -s = j - 7*j. Solve -3*d + 8 = -4*w, 4*w + 10 = -3*d + j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(112) + -3 - sqrt(112))*-4 - ((sqrt(35)\/(sqrt(5)*-3))**2 + sqrt(7))*-4).\nAnswer: 20*sqrt(7) + 680\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -5970, 3\/2, 3, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -27 - 0. Suppose -2*u = -35 + i. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 2*v + 5 = 0, 2*l + 2*v = 10. Suppose -l*a - 2*y + 385 = 0, -49 = 5*a + y - 679. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, -5, 94, -4\/199, -0.11 in ascending order.\nAnswer: -5, -0.11, -4\/199, 0.2, 1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35285833?\nAnswer: 11, 3207803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + 10.94. Let x = 10.5 - n. Let q = -3 + 0. Which is the second biggest value? (a) x (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7889 + -7883. Which is bigger: -0.0198 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90280926, -90280925, -90280924?\nAnswer: -90280923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2968978153 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: Find the common denominator of 67\/2 and 39\/422.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, x: 4, b: 5}. Give prob of picking 3 x.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25291949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-3 + -5 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75205.7497089 less than -0.4?\nAnswer: -75206.1497089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -38 - (-14 + 15). Suppose -4*m - t = -u, 0 + 2 = m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:58 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 187.\nAnswer: 187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-20)*-2)\/((-156)\/(-5850)) + -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1386 - -1500. What is the greatest common divisor of 1007 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 597 and 868237?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 580, 882, 1184, 1480, 1764, 2030, 2272?\nAnswer: 2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 7, -1\/4, -2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t. Suppose 0*o + 4*o = t. Let m(a) = -a**3 - a**2 + a + 8. Let y be m(o). Calculate the highest common divisor of 12 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose m*p = -p + 15. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f - 0. Let q(r) = -3*r + 2. Let x(b) = 39*b - 27. Let z(l) = f*x(l) + 27*q(l). Give z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*y + 45 - 45)*(2*y**2 - 3*y**2 + 0*y**2)*(-3 + 0 + 4).\nAnswer: -63*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37187053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004093 at most as big as 1004104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 125. Suppose p - x = -p. Suppose -209 + p = -5*m. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 29*v - 161. Suppose g - 19 = -v*k, -k = 2*k - 4*g. Solve -k*y = -s - 3 - 2, -4 = 4*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2)*258681\/652. Calculate the highest common factor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 227*v**2 - 18*v - 32. Is a(-2) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -1, 3, 7, 11?\n\"Answer: 4*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -13*z**6\/120 - z**5\/60 - z**4\/12 - z**3\/6 - z**2. Let b(g) = -2*g + 35. Let d be b(18). Calculate y(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*(3\/(-2) - 234\/(-144)). Sort -3, f, -31 in decreasing order.\nAnswer: f, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*f + 80, -4*x + 5*f - 6 = -87. Let r(c) = -4*c**3 + 2*c**2 + 2*c + 2. Let i be r(-2). What is the greatest common divisor of i and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/3, 0.3, -5, -359 in decreasing order.\nAnswer: 3, 0.3, -2\/3, -5, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/2, -7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -36*a + 15. Let q be (0 - -8)*((-3120)\/64)\/(-13). Suppose 8 = -5*x + 28. Let w(f) = 5*f - 2. Give q*w(n) + x*m(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 7*q**2 - 4*q + 5. Let z be x(6). Let s = z + -14. Let l be (-12)\/(-3*2\/8). Solve w + s*w = -l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1223, 1246, 1273, 1298, 1315, 1318?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -337\/514971 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4)*q*q)**14*q**(-1\/9)*q*((q**20*q)\/q)\/q*q assuming q is positive.\nAnswer: q**(1069\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1189.61867 - 5002.\nAnswer: -6191.61867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10502 (base 7) to base 11\nAnswer: -1a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 8 + 14 + 117016*h**3.\nAnswer: 117016*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 3*t**2 + 84*t + 33. Let d be a(11). Let u = 348 + -1076\/3. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 2706111?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 3*h**2 - h**2. Let l(r) be the third derivative of -r**7\/840 + r**4\/12 - 3*r**2. Let n(y) be the second derivative of l(y). What is t(n(g))?\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*o**2 - 2769*o - 430792?\nAnswer: -20*o - 2769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10184 = -2*k. Suppose 0 = 4*p - n - 19943, 5*p - 10*n - 24945 = -12*n. Let i = k + p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.61 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 237091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90746, -183471, -276196, -368921, -461646, -554371?\n\"Answer: -92725*o + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18*d + 4. Let r = -39 + 40. Let n be s(r). Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 13, 3, -50, -4 in decreasing order.\nAnswer: 13, 11, 5, 3, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 5:15 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10668 is divided by 10624.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2\/5 + 8*y - 204\/5 = 0.\nAnswer: 6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 3. Let a be k(0). Let m(w) = 6*w + 1. Let l be m(a). Calculate the highest common factor of 57 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - i + 3*i**2 - 1631*i**4 + 1636*i**4 + 4 - 2*i**3 + i**3 as s*i**2 + d*i**4 + x + a*i + f*i**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 370*x**3 + 384*x**3 + 58*x**3 + (-4 + 1 + 1)*(2*x**3 + x**3 - 5*x**3).\nAnswer: 816*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72601 = -74*x + 55*x + 910. Which is greater: x or 3868?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18627133795 and -0.17.\nAnswer: 18627133794.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 2*q + q - 243, -c - 48819*q + 48838*q = 3 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544379106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 3*c - 786 + 786.\nAnswer: 8*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3822 + -3821. What is the nearest to y in -9, 0.4, 1\/5, 2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1226171 + 1069928. Let p be (0 - -1)*h\/286. Let l = -8030 + p. Find the common denominator of 97\/12 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 - 33*l + 82. Let v be b(6). Is v smaller than -381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/28))**(-15\/2)*(y\/((y*y*(y*y**25)\/y)\/y))\/((y*y*y**12)\/y) assuming y is positive.\nAnswer: y**(-2563\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-8)\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*j + 585 - 585 to the form l + n*j and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 3:23 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {n: 6, q: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5, -107*s - 5*w + 76 = -104*s. What is the highest common divisor of s and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77445, 154882, 232319?\nAnswer: 309756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 3\/((-6)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u**2 + u + 1. Let a(h) = -2*h**3 - 4*h**2 + 4*h + 4. Let j(w) = -2*w**2 + 6*w + 4. Let x be j(4). Calculate x*c(m) + a(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 234*f + 4. Let d be x(4). What is d rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**3 - 2*f - 1. Determine z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*d - 1294*d - 27819 = 0 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249515826067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*f**2*g**3 + 1980*f**2 + f*g**2 - 8*g**3 + 1358 wrt f.\nAnswer: 70*f*g**3 + 3960*f + g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118168 is divided by 576?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from awarr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1254 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/13)\/(q*((q\/((((q\/(q*q*q\/(q\/q**(-1\/7))))\/q)\/q)\/q))\/q)\/q) assuming q is positive.\nAnswer: q**(-379\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 + 332. Suppose i*c - 2*s = 1162 + 2558, 3*c - 4*s = 2790. List the prime factors of c.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*p = -15, q - 5*p - 3 = -33 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -0*z. Let g be (4\/6)\/(z\/(-45)). Let y be ((g\/(-1))\/(-1))\/(-1). Solve -4*h + 32 = -4*f, -2*f + 4 = y*h + 2*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 13*l**2 + 10*l + 29. Let a be u(12). Suppose 3*y - 1703 + 88 = -a*x, -4*x + 1292 = 2*y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47 (b) 62\/3 (c) -0.5 (d) -77 (e) -1\/8 (f) -1.6 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-10))\/((-15)\/(-75)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/85626 and 169\/402570.\nAnswer: 26972190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -38. Suppose 7*k - 163 = -2*p + q*k, -2*k - 77 = -p. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:30 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15667511 (base 8) to base 6.\nAnswer: 205511145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1480 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1 + -4 + 7 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4\/((-4)\/3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129844*217.5.\nAnswer: -28241070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 114?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 3*j**3 + j**3)*(-3*j + 3*j + 2*j**2) + 206*j**4 - 206*j**4 + 5*j**5 + j**5 + 0*j**4 + 0*j**4.\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*t - 14349*f**4 - 2*f**3*t + 3*f**3 + 11*f**2*t + f**2 - 1179279 wrt f?\nAnswer: 24*f*t - 344376*f - 12*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 1\/18*h**3 - 1\/6*h**2 - 1\/2*h - 19. Factor q(i).\nAnswer: (i - 3)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*10\/(-125)*(7\/((-70)\/10))\/(-2).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 785 - 735. Determine v so that -180*v - f + 12 - 4*v + 4*v**2 - 115 - 35 = 0.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 58. Let c be 5674\/18 + (0 - 4\/k). Suppose 43*h - c = 40*h. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -5.3. Let u(v) = v**3 + 7*v**2 + 7*v + 13. Let c be u(-7). Let o be 3\/6 + c\/40. What is the smallest value in -0.3, -0.5, o, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103 and -3817?\nAnswer: 393151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12510 divided by 18\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 4, r: 1}. What is prob of sequence xr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9993745523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 divided by -6?\nAnswer: 349\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = -10*v - 104. Put 4, 2, v, -5 in increasing order.\nAnswer: -5, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*i + 2*j + 42, -i + 11 = -5*j. Suppose -50 = -i*z + 15*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -2 + 4\/(-4). Put 0, 5, v in increasing order.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109 or 226544\/9?\nAnswer: 226544\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 429421\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23333357, 23333358, 23333359, 23333360?\n\"Answer: r + 23333356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or 5?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68998, -69031, -69064, -69097, -69130?\n\"Answer: -33*c - 68965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 25. Let f be y(20). Let g(h) = -3*h**3 - 6*h**2 + 3*h + 7. Is g(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144374235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -236, -367, -504, -647?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497395259 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 3*t + 173393 = -4411, 2*l - t = 14822. Is l less than or equal to 7408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - 0.07. What is the nearest to u in -2\/5, -1\/6, 4\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4800339 to the nearest integer?\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*d - 3058 - 3469. Suppose 5*q + 5 = 0, -3*q + 7 = -4*z + 6*z. Suppose 3*r = 2*j + 3*j - 195, z*r - 3*j + 309 = 0. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, y: 17}. What is prob of sequence lll?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25387*t**3 + 2*t**2 - 3712*t.\nAnswer: 152322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-4)\/(192\/6))\/(6\/(-48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 9*w - 34. Let r be q(3). Let d = 45 + -11. What is the derivative of -4*k**r + 45 - d - 21 wrt k?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 102. Let w(f) = -8*f - 305. Calculate -11*b(g) + 4*w(g).\nAnswer: g - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -55.1?\nAnswer: -13.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 40 = -8*p. What is the common denominator of (-29)\/(-10) + (-2)\/p and -23\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 14.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m = 3*l - 37*m - 162846, -3*l + 162852 = -m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 12, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (294\/98*(-3)\/234)\/((-1)\/(-8))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 98808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + h + 39 = -h, 5092*h = 5087*h + 15 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171723883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*j + 5. Let z = j + 2. What is the derivative of m - m - 1 - z - 5*m wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/2 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24389\/12 + -2026. What is the common denominator of -91\/22 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -1\/18, -3, -602?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185521933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145 and (-4)\/42 - (-28847)\/1911.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*j + 20*j + 15*j + 2 - 2 - j + (0 + 4 - 2)*(-8*j - 82 + 82) in the form i + h*j and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 727*x - 1 + 800*x.\nAnswer: 73*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2. Let v be 1\/2 + 3\/2. Let l(w) = 3*w - 6*w + v*w**2 + 3*w. Give j(l(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 1. Let n be s(1). Let m be -1 - 0\/n - -16. Let p be (-1)\/(-3) + (-6305)\/m. Round p to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 112\/8527?\nAnswer: 112\/8527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d - 4. Let h be r(4). Let v = h - -6. Solve -f + 0 = -v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-13 - (13 - 23 - 3))) + -18?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -534*w**2 - 5*w**3 + 536*w**2 - 3*w + w - 2*w**3. Let o(c) = -155*c**3 + 45*c**2 - 45*c. Determine 2*o(g) - 45*t(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 d, and 1 a when four letters picked without replacement from ddddqqadwdqwqja.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/546 and -40\/1911.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020122747.6 minus 0.272?\nAnswer: 1020122747.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*b - 54*b - 12*b in the form m + q*b and give q.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzj when three letters picked without replacement from zzzzvfzzzvzvvjzjy?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*t**3*x - 14*t**3 + 2*t*x + 2*t + 987*x wrt t.\nAnswer: -42*t*x - 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-0.6.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 107332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17002741.\nAnswer: 7, 41, 59243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 2 - (1315\/3419 - (-5613)\/312)?\nAnswer: -75\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273, 215, -489, -2163, -5131, -9717, -16245?\nAnswer: -25039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23041 + 416?\nAnswer: -22726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*z + 21, -10 = -z - 2*z - 5*g. Suppose -o + t + 167 = -0*t, z*t = o - 159. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/2420*8)\/(114\/(-836))?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -22*q + 8*q + 6*q - 31*q. Let d(t) = 2*t**2. Give d(c(k)).\nAnswer: 3042*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9))**(-20))**(-8\/3) assuming j is positive.\nAnswer: j**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2*-1)*(-9)\/18. Suppose b - 18 = -7*h + 2*h, h - 5*b - 14 = v. Calculate the lowest common multiple of h and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2006)\/85*(65\/(-2))\/(-13).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -18. Solve -u*x - 6 = o - 1, 5 = -5*o + 5*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 52*u = -30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4\/5 + 52*v**3\/5 - 104*v**2\/5 - 672*v\/5 = 0. What is v?\nAnswer: -14, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2226894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(14 - -1)*(-40)\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7329559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - 8*l - 8. Let z(y) = 3*y**2 - 8*y - 8. Let u(t) = -5*p(t) + 6*z(t). Let u(q) = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1081*k - 157669. Give z(-146).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-24))\/((-2)\/4). Which is the third smallest value? (a) o (b) 2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9*-3)\/((-36)\/(-2040)*(16 - 21)). What is the highest common divisor of i and 5253?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 183. What is the remainder when 192 is divided by s?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35189*r - 74986.\nAnswer: -35189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51604*h*i**3 + 21*h*i**2 + 76*h + 8*i**2 wrt i.\nAnswer: 309624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p - 48. Let v be o(-3). Suppose v = 10*x + x - 44. What is the highest common factor of x and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -50*j + 3009. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 12:22 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -66433916 smaller than -66433927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (25 - (-37 + 14 + 40))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-72)*(0 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10886\/1311 - -464\/69. Suppose -3*t - 9 = -3*g, -5*g + 2 = -3*t - 5. Do g and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.097 + 2.83. Let l = y + 0.667. Let r = 0.7 - -3.3. Which is the nearest to -0.1? (a) 1\/5 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 73*a\/2 - 413.\nAnswer: -(a - 59)*(a - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 2 - 8*h**2 - 2 - 3*h**2.\nAnswer: -11*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5 - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 6*m + 22. Let s be x(9). Suppose 0 = -6*j - s + 1237. Does 36 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13151 - 5337. Let p = -4179 + t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28160188 to the power of 1\/2, to the nearest integer?\nAnswer: 5307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*m**2 + 1\/2*m**3 + 0 + 1\/4*m**4 + 0*m.\nAnswer: m**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467118, 467102, 467086, 467070, 467054, 467038?\nAnswer: 467022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -196 + 23304?\nAnswer: 2313b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - o**4 + o**2 + (2 - 2 - o**2)*(-o**2 - 2*o**2 + o**2).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -491 - -477. Is a greater than or equal to -76\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100010000100 (base 2) in base 9?\nAnswer: -175061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 815\/238 - -39\/34. What is the common denominator of t and 143\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -272948.\nAnswer: -272948.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113587378?\nAnswer: 2, 67, 521, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 - 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(75\/(-9) + 5)*-5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 1873311?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-33)*-1 - (-44)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*6*10. Suppose -w + t + 13 = 2*w, 4*w - 24 = 3*t. Suppose -w*i - 24 = -q. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 w when three letters picked without replacement from {w: 1, g: 2, y: 8, v: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 14 = -2*s. Let n(i) = -i**3 + 6*i**2 + 13*i - 6. Let j be n(6). Suppose -5*z + z = -j. Solve -s = -4*b + 4*u - 9*u, -4*b + z = 2*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqyyyqyyyyyyyqyyyq. What is prob of sequence qqy?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74050 and 725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55702333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 80*b**2 - 2*b - 5. Give a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201856?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6*o**2 - 2 - 14*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 3\/140*h**5 + 2*h + 0*h**3 + 1\/70*h**6 + 0*h**2 + 1\/294*h**7 + 0 + 1\/84*h**4. What is r in j(r) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 240\/13 (b) -244 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 572773025 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s. Suppose s = 3*h - 7150912 - 5749088. What is h rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phx when three letters picked without replacement from {h: 5, p: 2, x: 7}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**6\/2340 - 3*o**5\/260 - 3*o**4\/26 - 2*o**3\/3 - 53*o - 269. Let v(h) be the third derivative of x(h). Factor v(p).\nAnswer: -2*(p + 3)*(p + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1079, 4928, 15367, 35690, 69191, 119164?\n\"Answer: 549*z**3 + z**2 + 3*z + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12080182 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4437 divide 54580733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b**2 + 3 + (-3*b + 1 - 1)*(0*b + 0*b + 2*b))*(-1 + 5 - 3).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -132*0.912\nAnswer: -120.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9*p - 1730 = -2*d, 0 = -p + 5*d + 460. Let w = p + -325. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 14. Let g be i(-5). Let w = -14 + g. Is w smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**2 - 4*b**2)*(2 - 4*b**2 - 2) + 3*b**2 + 5*b**4 - 3*b**2 + (1 - 1 - 2)*(b - 16*b - b)*(b**3 + b - b).\nAnswer: 45*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8082 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354.29 - -6.29. Let c = 306.6 + y. Let u = c + 41.399258. Round u to five decimal places.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 34 - 38. Suppose -10*l + 96 + x = 0. Let d be (2 - 0)*(-5)\/(-2). Calculate the greatest common factor of l and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*b - 0*b. What is the least common multiple of b and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-6))\/((-5)\/(-2) + -2). Let z be (l*3\/18)\/((-8)\/96). Let t(c) = -c + 7. What is t(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3009*b**3 - 2*b + 5*b + 2 - 4456*b**3.\nAnswer: -7465*b**3 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.049 and 775.4971.\nAnswer: -37.9993579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1110101011100100 (base 2) to base 5\nAnswer: 3411012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**4 - 4*d**4 - 4*d**4 + (-3*d - 3*d + 3*d)*(-10*d**3 + 6*d**3 + 6*d**3) + d**3 - 34 + 21*d**4 + 34.\nAnswer: 14*d**4 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2440 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 9*c - 3*c + (2 + 1 - 5)*((-23*c + 2*c - 8*c)*(4 + 1 - 3) + 4*c - 4*c + 5*c) + (-3 - c + 3)*(0 - 2 + 0).\nAnswer: 115*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*j + 54*j - 33*j.\nAnswer: -137*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Suppose g + h = 9. What is the remainder when 12 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 1\/3*r**3 + 3*r + 4 - r**2. Is i(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 169\/7. Let a(f) = f**2 - 3*f - 8. Let q be a(7). Let i be ((-2)\/5)\/((-44)\/q). Sort p, 3\/5, i.\nAnswer: p, i, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - (36 - -23) - 33.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 + 9*d**2 - 13*d + 2. Let k = 16 + -20. Let f(p) = 2*p**3 + 4*p**2 - 6*p + 1. Determine k*s(o) + 9*f(o).\nAnswer: -2*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45574 is divided by 1429.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 - -3. Let m = -0.7 - c. What is m rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. Determine k, given that -k - 2*k - k**3 + 0*k + m*k**3 + 3*k**2 - 3*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1424430 and 117\/980.\nAnswer: 2848860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55.24131cm?\nAnswer: 0.0005524131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450617 is divided by 161168?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 3*f + 0*f + (-1362*f + 2645*f - 1377*f)*(1 + 1 - 4).\nAnswer: 187*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 6*w**2 + 7*w + 5. Let m be u(-7). Calculate the highest common factor of 40 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-301)*(-2*56\/240)\/(79\/(-237))?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 5)*(-4 + h + 4) - h + 1 - 1 + 9538 - 4335 - 2402 - 2*h in the form x*h + p and give p.\nAnswer: 2801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c - 285 + 121 = 0. Let x(l) = 6 + 1 + 4 - 82*l. Let a be x(c). What is a rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s + 1. Let t(k) = -2*k**2 - 20*k - 2. Let p(f) = -8*q(f) - 3*t(f). Factor p(v).\nAnswer: -2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10031, 10110, 10177, 10226, 10251?\nAnswer: 10246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 730*r - 3 + 243*r - 100*r + 2.\nAnswer: 873*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2223*b**2 + 4*b + 2. Let r(u) = -9083175*u**2 - 16346*u - 8173. Determine -8173*d(t) - 2*r(t).\nAnswer: -2229*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -15623000 to the nearest one hundred thousand.\nAnswer: -15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**4 - 14*z**3 - 2*z**2. Let d(x) = 18*x + x**2 - 18*x - 6*x**3 + 5*x**3 + x**4. Let o(c) = -6*d(c) + t(c). Factor o(w).\nAnswer: -2*w**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 13816*c - 13812*c + 12, 4*c + 16 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**3 - u**2 + 1. Let c(z) = -2*z - 13. Let k be c(-6). Let j be o(k). Let m be (-16)\/j - (-8)\/12. Is -2 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/7067?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 59. Does 30 divide t\/9 - 89\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3989 = 58*j + 4859 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, s: 2, y: 3, m: 1, v: 7}. Give prob of picking 1 m and 3 n.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25295 is divided by 8405.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d. Let p(a) = -38728*a - 235. Let o(f) = -993*f - 6. Let t(l) = -235*o(l) + 6*p(l). Give -105*c(b) + 2*t(b).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-129)\/(-24) - 3\/8. Let j(b) = -3*b**2 + 3 + d - 16*b**2 + 3*b + b + 11*b**2. Let v(k) = -k**2 + 1. Give -j(r) + 6*v(r).\nAnswer: 2*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, e: 1, f: 6, y: 5, o: 2}. What is prob of sequence xxo?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-286)\/(-44) - (-1 + (-33)\/22)) + 0 + 46\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 20*r - 23*r)*(-181 - 221 + 285) to the form x*r + v and give x.\nAnswer: 4914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqttqttvvnvtvbt. What is prob of sequence bnv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**2\/2 + 5*r - 1. Let j = 524 - 533. Let z be j - ((-24 - -3) + 4). What is k(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/3 + 520*c**4\/3 + 2062*c**3\/3 - 348*c**2 - 2061*c + 1548 = 0 for c.\nAnswer: -516, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73650415?\nAnswer: 5, 14730083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 235795 and 0.1.\nAnswer: 235795.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189443?\nAnswer: 389, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4050)\/(-375) + 1*-10)\/(468\/270)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2532641*i**3 - 2532628*i**3 + 2*i + 1.\nAnswer: 13*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**3 - 6*v - 2. Let g(u) = 6*u**3 + 13*u + 5. Let o(r) = -2*r**3 - 19*r**2 + 13*r + 21. Let t be o(-10). Calculate t*p(d) - 4*g(d).\nAnswer: 3*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34010892 and 65.8.\nAnswer: 34010957.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkss. Give prob of sequence spks.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d + 5. Suppose d*a + 135 = -0*a. Let w = a - -54. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 129176?\nAnswer: 129159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 303327*c - 29735649. Calculate l(98).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15172 is divided by 1025?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208 or 190?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-23)\/g)\/g)\/(g*g*g*((g*g*g**(-14\/9)*g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-247\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24269173, -97076614, -218422349, -388306378, -606728701, -873689318, -1189188229?\n\"Answer: -24269147*a**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-7))\/(18\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/16425 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*c = -212*c + 190 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 v, and 1 z when four letters picked without replacement from {v: 5, p: 3, s: 1, x: 2, z: 7}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/117, 172, -0.2 in descending order.\nAnswer: 172, 0.1, 1\/117, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(12\/42)\/((-42)\/539).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/9 + 42178*u**2\/3 + 4931860*u\/9 + 1601776\/3 = 0. Calculate u.\nAnswer: -63228, -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:40 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 16*s + 27. Let v be p(9). Suppose -28 = -2*q - 2*r, 0*q = -5*q + 4*r + 43. What is the first derivative of -q*c + 5 + 7*c + v*c wrt c?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/96*6 - (1855\/168 - 10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81213 and 55?\nAnswer: 406065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.8007 - -0.0693. Let w = 16 - h. Let j = -5.23 + w. What is j rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/((v\/v**(-3))\/v)))\/v*v**(1\/2)\/v*v*v*(v**2\/v)\/(v*v**(-4)*v))**(-9\/2) assuming v is positive.\nAnswer: v**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 79*a - 10561379 = 2265421. Round a to the nearest 1000.\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 506472 (base 8) to base 4\nAnswer: 220310322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*r - 4 = 0, -19099*o + 19101*o = 4*r - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31083, 3, 205 in decreasing order.\nAnswer: 205, 3, -3, -31083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11513 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 67*z + 83*z - 541 - 3*z**2 - 227 - 54*z = 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 8) to base 9\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 24\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 4*l**2 - 3*l - 2. Let r be (-1 + -3)*(-42)\/56. Suppose 4*b - r*b = 1. Suppose -4*k - 4 - b = -p, -5*k - p = 13. Determine v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 - 391668*x**2 + 2741719*x - 2350050 = 0.\nAnswer: -391675, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**6 - 77*u**4 + 395*u**2 wrt u.\nAnswer: 360*u**3 - 1848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450022424 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009660?\nAnswer: 2, 5, 19, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*c - 28 = -0*c, 4*c + 36 = 4*f. Let p(m) = -m - 6. Let w be p(f). Let o = 29 + w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edrdejnr. Give prob of sequence jed.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c**2 + 12*c**2 - 15*c**2 + (-3*c - 2*c + 6*c)*(-c + 2*c - 2*c))*(1 - 2*c**2 + 4*c**2 + 1).\nAnswer: -42*c**4 - 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*i**2 - 115*i**2 + 131*i**2 - 1664*i**2.\nAnswer: -1503*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4 + -2)\/(4 - 5 - 8).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 20 = 2*l. Let o be 60*(-1)\/((-1)\/1). Suppose -5*h + o = -l*i, 0 = 2*h + 3*h + 3*i - 25. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 5*x**2 - x - 3. Let g be o(-5). Suppose 117 + 3 = 3*f. Suppose g*s + f = 7*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -0.4\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 3. Let a be m(-3). Let i = -1 - a. Calculate the remainder when 15 is divided by 0 + i*(-1 + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2. Let a(s) be the second derivative of 143*s**4\/4 - 160*s. Determine b(a(n)).\nAnswer: -368082*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 5*z - 2. Let a be v(5). Does 5 divide (a\/5)\/(-2 - 138\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-40))\/(104\/(-78))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2. Let c(s) = 9*s + 7*s - 14*s + 11*s. What is c(y(q))?\nAnswer: 65*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8284 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36993599 to the nearest integer?\nAnswer: 6082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1011010101011110100001?\nAnswer: 1011010101011110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -15267, 4, -6, 2, -4 in decreasing order.\nAnswer: 4, 2, -4, -6, -15267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1560 by 780.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 7:53 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 757, -0.2 in descending order.\nAnswer: 757, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05177335 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -20860 = -6577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11726129 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/11692 and -57\/2840.\nAnswer: 8301320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*l = 1357, 4*p - 5*l = -p + 6795. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(1\/(-2)). What are the prime factors of 1 + u - (-58)\/2?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 2:56 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 0*i - 171 = 0. Suppose 55 = 18*a + i. Sort a, 3, -12.\nAnswer: -12, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20456 - 20588 + 27*k + 41037.\nAnswer: 27*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let k(t) be the third derivative of 0*t**3 - 10 + 0*t**4 - 3*t**2 + 0*t + 11\/10*t**5. Give k(j(y)).\nAnswer: 264*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 84160160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*d - 232*d + 168*d - 23258 = 169*d for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -402 - -400. Sort m, -4, -2\/315 in increasing order.\nAnswer: -4, m, -2\/315","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttuttuaatuu. What is prob of sequence aa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/(-4))\/(-19)*(-1104)\/11730?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*j + 54. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 13. Give s(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -t + 7, 4*t + 8*z = 4*z - 8. Let c be (24\/(-30))\/((-2)\/t). Let o(q) = -4*q + 2. What is o(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 10127362.\nAnswer: 182292516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -1\/4 (b) 7 (c) 5\/4 (d) 18 (e) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4203*l. Let r(x) = -9*x - 7. Give k(r(n)).\nAnswer: -37827*n - 29421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*i**2 - 2*i + 205*i**2 - i wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*j - 5. Let s be (-7 - 0)*j\/(-7). Is 8\/(-2)*(-117)\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*z - 27, -3*z + 3*g + 9 = 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -809*d**3 - 15*d**2 - 19*d - 5. What is the hundreds digit of y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14412410 (base 5) to base 9.\nAnswer: 254347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -4*g + 1676. Suppose -g = -8*w - 65. Calculate the least common multiple of 12*(-1 + -1)\/(-8) and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:38 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*z - 232 = 0, 2*r - 368 = -r - 2*z. Suppose 98 = 55*v - 48*v. What is the greatest common factor of r and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*f - 68, -135*f + 134*f - 58 = -3*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 3. Let y be c(-4). Let f be 1518\/9 - y\/21. Suppose -f = -d - r - r, -3*r = -6. What is the remainder when d is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/120 - 241*v**4\/48 + 121*v**3\/6 + 783*v**2 - 3. Determine t so that b(t) = 0.\nAnswer: -242, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7023*s - 5955522. Give x(-848).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-2205))\/(92\/207).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:07 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 18. Let n = -7375 + 132701\/18. Find the common denominator of r*(-1)\/42*-31 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -468 - -467.9996645. Round a to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11983549 or -11983550?\nAnswer: -11983550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5*(1 + 0). Let z = -114 + 118.7. Let g = -5 + z. Which is the closest to 0? (a) -0.5 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20, -19, -16, -11, -4, 5?\n\"Answer: h**2 - 2*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 691368 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39559469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 10 + 1)*(c**2 - c**2 + c**2) - 7*c**2 + 3*c**2 - 2*c**2 in the form b + z*c + w*c**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1560 and -137\/4680.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 1, o: 4, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -8456\nAnswer: 8455.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times 119\nAnswer: -214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 528552*0.2\nAnswer: 105710.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 42*k**2 + 11*k + 60. Is r(42) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-2)\/340*(-64)\/224*315\/54?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1.5, -417, 2\/5, 0.3?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 17248*z - 5280640.\nAnswer: 2*(z - 296)*(z + 8920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t**2 + 16*t**2 + 0*t + t to x*t + d + q*t**2 and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 + -122. Suppose 0*l = 3*l + 4*j - 37, -j - 10 = -l. What is the lowest common multiple of h and l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 93. Let q(i) = i + 6. Let c be q(-3). Suppose -4*b = 2*r - 2, c*b + 5*r = 5*b - 19. What is the smallest common multiple of b and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1327 - -1260. Let k be ((-40)\/(-6))\/(2\/(-21)). Let x = u - k. Solve -14 = x*q - a, 5*q - 3*a = -6*a - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219 or -137749?\nAnswer: -137749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14684959.8 hours in weeks?\nAnswer: 87410.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335 - 189. What is the remainder when 294 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/3))\/((((m*m**2)\/m)\/m*m)\/m))\/((m*m**7)\/(m\/(m*m**0))) assuming m is positive.\nAnswer: m**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84.8 + -84.802558. Round s to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(93\/62)*4\/(184\/9)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*t + t - 4, -2*i + 5 = -t. Is (-10)\/(4405\/(-1465) + i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) -4\/3 (c) -0.08 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 14*z. Let t(i) be the second derivative of 1\/3*i**6 + i - i**5 - 5\/3*i**3 + 5\/3*i**4 + z - 1\/21*i**7 + i**2. Factor t(s).\nAnswer: -2*(s - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 8*r + 8. Let g be u(7). Let x = 21 - g. What is the lowest common multiple of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -646 + 648. Let v(y) = -7*y + 5. Let f be v(-4). Suppose p - f - 44 = 4*a, 5*p = -o*a + 473. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2445206*m**6 - 2*m**4 - 1776*m**2 - 10*m - 50 wrt m?\nAnswer: 293424720*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.779062968 rounded to 3 dps?\nAnswer: -4.779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*g - 115*g + 132 = -38 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/(75\/175).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838412148?\nAnswer: 2, 3, 7, 79, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-732)\/10*(3 - 203\/21). Let w = -1937\/4 + l. Let 5*s**3 - 5\/2 - 5\/4*s**5 - w*s + 5\/2*s**2 + 0*s**4 = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1536 = -8*j + 81*j - 5916. What is the highest common divisor of 492 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 (base 12) in base 7?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miu when three letters picked without replacement from {e: 9, y: 2, i: 1, f: 3, u: 3, m: 2}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let v(h) be the second derivative of -3\/2*h**2 + 7\/6*h**3 - 2*h + 0. Let i(k) = 6*k - 4. Let w(r) = 3*i(r) - 4*v(r). Calculate w(p(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (4 - 3)) + -2. Let i be (-4 + b)*(2 + -3). Suppose -i*d + 11 = -r - 7, 4*r = -3*d + 20. Solve k + 3 = r*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/7)*l)\/(l*l**(-2\/33))*(l**(-36))**(-2\/37))**(-7\/9) assuming l is positive.\nAnswer: l**(-22034\/10989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7483599 divided by 1877\nAnswer: -3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 22925?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -174, -164, -134, -78, 10, 136?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(5500) - (sqrt(5500) - (sqrt(5500) - -1*sqrt(5500)))))\/(sqrt(99)\/(sqrt(9) - sqrt(81))*5))**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41470 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j + 5*y - 14, -3*y + 637 = 607 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1332 by 1.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 13*x - 7. Let q be z(-12). Let o be ((-150)\/(-21))\/q + -1. Let 0 + 0*l + 6\/7*l**2 + o*l**4 + 9\/7*l**3 = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 195197196 and 195197197 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 5) + -12 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, s: 3, h: 1, v: 3, z: 1, j: 9}. Give prob of picking 1 r, 1 v, 1 z, and 1 s.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77243202 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5676 is divided by 1566.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.33504 * -1\nAnswer: 0.33504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -662 + 668. Suppose -f = -5*l + 12, -3*l + 14 = -f - 3*f. Let t = m + l. What is the lowest common multiple of t and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - 2 + 1 - 3*c**4 + (-3 + 2*c**3 + 3)*(c - 3 + 3) - 45*c**4 + 45*c - 45*c + 3*c**4 - 3*c**4 - 3*c**4.\nAnswer: -47*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41592824 divided by -76.\nAnswer: 547274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155967 is divided by 234.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182783368 is divided by 2362.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.015 + 8.085. What is u rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126645 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4da + 30?\nAnswer: 50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 60*k + 425.\nAnswer: -5*(k - 5)*(k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 52*p - 7. Is g(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -4\/5, 4, -1\/4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 132, 197, 262, 327?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8728 (base 13) in base 15?\nAnswer: 587d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h. Let y(c) = -2*c**2 + 19. Determine y(o(k)).\nAnswer: -242*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.2 - 15. Let g = v - 0.2. Let z = 0.9 - 0.6. Sort z, -2, g.\nAnswer: -2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.649704nm to micrometers.\nAnswer: 0.008649704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14965395.\nAnswer: 3, 5, 997693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let m be b(1). Let c be (-1)\/(m\/(-2)*2). Let z = 2 + -2. Sort z, c, 6 in decreasing order.\nAnswer: 6, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 + -3 + 4. Suppose -n = -6 - c. Let u(o) = o**2 + 6. Calculate the remainder when u(3) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.015 + -0.015. What is the second smallest value in -11, n, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21*t - 2224. Let u be v(-106). Solve -10 = 4*y + 2*o, 5*y + u*o + 8 = -2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmvu when four letters picked without replacement from {u: 1, b: 1, m: 1, v: 2, g: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30275417, 30275418, 30275419, 30275420?\n\"Answer: w + 30275416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*-1*4\/(-6). Let m be 6\/9 - (-8)\/(-12). Sort 2, h, m in descending order.\nAnswer: h, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 10) to base 13.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 497*d**3 + 0*d + 2*d.\nAnswer: -497*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.8398 rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.042 and -3.5844 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*l**3 + 50*l**3 - 157*l**3 - l + 47*l**3.\nAnswer: -20*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f - 51*f + 2*r = 11, -3*f - 13 = -r. Sort 1, -4, f, 2.\nAnswer: -4, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {s: 5, d: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23382 - 23629 = 19*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*w + 4 = 0, -3*p + p + 2*w + 2 = 0. Let n be 4*p + 8*(-6)\/12. Let u = 2.99 + 0.01. Which is the closest to u? (a) 4 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 3*d**2 - 3*d**3 + 39 - 296 - 2*d**3.\nAnswer: -5*d**3 - 2*d**2 - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -36*k. Let a be (-32)\/(-80) - (-2 - (-123)\/(-5)). Let l(c) = -1 - 2*c - a*c + 1 + 24*c. Determine m(l(t)).\nAnswer: 180*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59979*i**2 - 10 + 10 - 59980*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 224 = -352. What is the remainder when 342 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48450 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1322111753 from -10.7.\nAnswer: -1322111763.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 30. Let l be 4097\/(-340) + 12 - (-3)\/(-20). What is the second smallest value in 0.5, l, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 16*f + 20. Let v be r(15). Suppose 0 = v*n + 4 - 19. Find the second derivative of 4*w**3 - 15*w + 11*w**3 + 12*w**n wrt w.\nAnswer: 162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 52270188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48617272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*f - 305*f + 4761*f**3 + 97*f - 1066*f**3.\nAnswer: 3695*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577735.74 rounded to the nearest ten?\nAnswer: -1577740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 - 90*y + 1952. What is r(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-67.\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125251*k - 125197*k = 1836 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*t + 10*t - 3, -n + 3*t = -8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 7*l**2 - 3*l - 1. Let d be b(6). Suppose d = -3*a - 5*f, 3*f - 10 = 5. Let s = 20 + a. Calculate the greatest common divisor of s and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q**3 - 3*q**3 + 8*q**3 + (q - 4*q + 2*q)*(-3*q**2 + 7*q**2 - 3*q**2))*(5*q - 2*q - 4*q) to the form g + i*q**2 + o*q + k*q**3 + x*q**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 110*a - 40. Let x(z) = -55*z + 24. Let y(o) = -3*u(o) - 5*x(o). Let d(v) = -12*v. Calculate d(y(t)).\nAnswer: 660*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 307818\/65961*(-9)\/(-8)*3\/12*-2.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -202*c - 409. Let j be z(-2). Put 5, -9, -2, j in ascending order.\nAnswer: -9, j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 169057784*s\/3 + 3572566791373832\/3.\nAnswer: 2*(s - 42264446)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-10 - (1 - -2)). Let t = -37 + 56. Let x = t + a. 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: Expand z - z + 2*z**4 + (2*z**4 - 2 + 2)*(5 + 0 - 3) + 14*z**4 + 22*z**4 - 3*z**4 + 0*z**4 + z**4 + z**4 + (-3*z + 0*z + z)*(-5*z + 2*z**3 + 5*z).\nAnswer: 37*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.00193, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 1. Let o be (-9)\/(-12) - 1\/(-4). Let x(n) = 2*n**3 + 2. Let h = -2 - -2. Let k = 1 + h. Determine k*x(j) + o*m(j).\nAnswer: 2*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 3*t + 5*t)*(0 + 2 - 4) + 3*t - 5*t + t + (-27 - 29 - 39)*(-t - 3*t + 11*t).\nAnswer: -664*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 10*u + 20. Let l be m(-8). Let c = -131 + l. Calculate the greatest common factor of c and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25699.3505 rounded to 0 dps?\nAnswer: 25699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170451 is divided by 3319?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 + 228*h - 6498 = 0?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 1, c: 1, z: 1, t: 1}. What is prob of sequence ucz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 = -5*x, 0 = 4*x - 7*x - 12. Let t be (-102)\/30 - -2*4\/20. Put t, 4, q, 11 in decreasing order.\nAnswer: 11, 4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9953 - 9953.09. Is y < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**3 + 46*k**2 - 8*k + 342. Determine t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/(((-44)\/(-22))\/(595\/(-170)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 466635 and 185347422.\nAnswer: 926737110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-108)\/(-180))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 1}. Give prob of sequence ttti.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 171*c + 268*c - 473*c. Let q(k) = 414*k**2. What is q(z(n))?\nAnswer: 478584*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + 3*sqrt(180))*-4 - sqrt(180))\/sqrt(3))\/(sqrt(60)\/(sqrt(5) + sqrt(180)*-5 + sqrt(5))) + 1.\nAnswer: 1 + 476*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**5\/120 - 7*m**4\/24 - 6*m**3 - 24. Let u(h) be the third derivative of q(h). Determine u(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.98 + 0.02. Let r = 5 - f. Let q = 131 - 131.4. Which is the biggest value? (a) r (b) q (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*((1 + 12*j - 1)*(-3 + 1 + 1) - 2 + 2 - 4*j).\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 47 times 0.1\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:24 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + -5 + (2*sqrt(11)*-4 - sqrt(11)))**2.\nAnswer: 80*sqrt(11) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 10 - 1. Let q(s) = -s**2 + 5*s + 2. Let a be q(5). Suppose -a*u - 20 = -54. Calculate the remainder when u is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -12724438?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*j + 12 + 13 = 0, 4*j = 5*q. Let p(n) = 1. Let a(h) be the second derivative of -h**3\/3 - 2*h**2 + h. Let b(r) = a(r) - 2*p(r). Give b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 539610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.16075 - 0.09475. Let j = -0.066 + q. What is the closest to j in 4, 3, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 2)*-6 + sqrt(52) - (sqrt(4212) + sqrt(4212) + 2 - sqrt(52)))**2 - ((sqrt(312)*1)\/sqrt(6))\/(3*sqrt(484)).\nAnswer: 40655*sqrt(13)\/33 + 25364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 19*v**2 - 10*v + 6. Let o be c(-9). Suppose -5*n + o = 2*g, -17 + 16 = -g + 4*n. Solve 0 = 4*x - 9*x + 3*z - 5, 0 = g*z + 25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07413 rounded to three decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -448*z - 47070*z**4 + 5 - 508*z**3 + 3*z**2 + 441*z + 47071*z**4 wrt z?\nAnswer: 24*z - 3048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/3 - 4*n**3 - 4303*n**2\/3 + 8678*n - 11592 = 0. Calculate n.\nAnswer: -63, 2, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -x**2 + 3*x**2 + 29*x**2 - 29 - 4*x**2 wrt x?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -9.231963?\nAnswer: -8.931963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-240))\/((-2)\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**2 + 4*c + 4. What is z(-3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -992218 or -992205?\nAnswer: -992205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 858244 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 60) + 1 + -1 + 17 + -18 + -19\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x**3 + 12*x**2. Let p(j) = -8*j**3 - 5*j**2. Determine -5*o(s) - 12*p(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**4 + 2*b**3 + 142*b**2 - 82*b - 31 wrt b.\nAnswer: 36*b**2 + 12*b + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33677321.\nAnswer: 33677321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -350, -3141, -10718, -25475, -49806, -86105, -136766?\n\"Answer: -399*u**3 + u**2 - u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + -526.50102999163.\nAnswer: -526.46102999163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 73, 3, -2, 4, -12.\nAnswer: -12, -7, -2, 3, 4, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.835771784339 minus -1?\nAnswer: -20.835771784339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 78 + 80 = 0, -2*v - 9 = 5*f for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 30*n - 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -667494 - -667454.000052. Let u = y - -40. Round u to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 0 + 0)*(-3 + 2 - 1) - 17*k + 61 - 32 - 25 as m + h*k and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8831435 years in centuries?\nAnswer: 0.008831435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:24 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppmm when four letters picked without replacement from {p: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + (-3 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 13629 = -13357 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.007 (b) -0.5 (c) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169554.3l to millilitres.\nAnswer: 169554300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 less than -9955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from xwwxkmx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from uuuucuqqucuu?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 612 divided by -1\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8453 to two dps.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4 = -6*b, 0 = 2*s - 5*b - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216038*f + 300*f**2 + 1 - 216038*f.\nAnswer: 300*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*c - 155*c + 17453 = 290*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 46 = 5*o, 0 = 2*g + o + 3*o - 48. Let s = 39 - g. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.6107043 and -0.2.\nAnswer: 3.4107043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8581795875 and -1.\nAnswer: -8581795876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n**3 + 129531*n**2 + 16 - 280*n - 128406*n**2 - 20*n**4 - 16 = 0. Calculate n.\nAnswer: -8, 0, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 16*a + 60. Let g be c(-9). Sort g, -0.1, -4 in decreasing order.\nAnswer: -0.1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akaxpp. What is prob of picking 1 p and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1, -1942?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*f - 2*i + 31, -5*i - 40 = -5*f. Suppose -f*z + 44*z - 102 = 0. Solve z*y = -0*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 0.88. Let n = 62385\/2 - 31192. Which is the third smallest value? (a) n (b) -7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6694 divided by -119.\nAnswer: -6694\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(621\/156 - 4). Let z = -49 - j. Let i be ((-8)\/12)\/(50\/18 - z). Solve -i*c = 4*p - c, c + 12 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 357478?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -945 + 945 - 21*h**2 + (0*h**2 - 3*h**2 + 4*h**2)*(2 + 6 - 2) + h**2 - 4*h**2 + 2*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/2 - -4 - -44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -41 (c) 3 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = m + 23. Suppose 5*v - 19 = -2*h, h + v = -0*h + 11. Calculate the highest common factor of m and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -18.12. Let p = o - 0.02. Let i = -22 - -200\/9. Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1769 - 10619\/6. Let i = 1.1 + 0.9. What is the smallest value in i, 0.1, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2052 and -199.6?\nAnswer: -409579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5033*q - 2429*q - 2596*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:26 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18975756 divided by -6.\nAnswer: 3162626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39590)\/321)\/(20\/6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 1 - 5*j + 2 - 24*j**2 + 4 + 5.\nAnswer: -21*j**2 - 5*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 87253879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a5 (base 15) to base 8.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*c + 15, -2*c + 6 - 16 = -5*d. Is 13 a factor of 0 + d - (0 + -282)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426916 at least 1427027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p - 188. Let t be f(16). Suppose -2*v = -0*v - t*g - 196, -190 = -2*v + g. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m - 1\/3*m**3 - 1\/20*m**5 - 1\/4*m**4 + 0 + 0*m**2. Factor d(z).\nAnswer: -z*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, -1, -1\/4, 0.2832?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -9 - 38) + 15 - -5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 6*(sqrt(2736) + 5 + -5 + (sqrt(2736) - sqrt(2736)*3)*-1))*3)**2.\nAnswer: 19440*sqrt(19) + 7978401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74460473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1062 and 13334.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from bumeerkekkkrrekkkre.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12293\/28 - 943\/2. Let x = q - -109\/4. What is the common denominator of 0 + -174*4\/160 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 653, 2636, 5953, 10610, 16613, 23968, 32681?\n\"Answer: z**3 + 661*z**2 - 7*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*b**4 + 2632*b**3 - 110401*b**2 + 1379052*b.\nAnswer: -b*(b - 108)*(4*b - 113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 22*n**2 + 19*n + 44. Let j be u(21). Suppose -39630 - 3570 = -j*h. What is h rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29472923*b**2*z**3 + b**2*z**2 + 45342*b**2*z - b*z**3 - 204*b*z**2 + z**3 wrt z.\nAnswer: -176837538*b**2 - 6*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 284350.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = 3*z. Let q(n) = 3*n. Let t(i) = -2*i. Let w(j) = -3*q(j) - 4*t(j). Let f(v) = 2*v**2. What is z*f(p) - w(p)?\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 9*f**2 - 6*f + 6. Let h(p) = p**3 + 10*p**2 + 7*p - 7. Suppose -2*y + 26 = 14. Determine y*h(d) + 7*q(d).\nAnswer: -d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -6325925?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211124135?\nAnswer: 5, 223, 189349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5650741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 + 11 = 2*g, -2*g - 5*a + 15 = 0. Suppose 0 = i + g + 2. Is i smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = -27*z + 6. Let l(s) = s + 1. Calculate l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -32*g. Let n(b) = 1124873*b. Determine f(n(m)).\nAnswer: -35995936*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(85)\/(sqrt(10)\/(sqrt(4)\/sqrt(2))) - ((2*sqrt(170))\/sqrt(10) + sqrt(17) + (sqrt(102)*-1)\/sqrt(6))**2) + -3.\nAnswer: -71 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/24 + 7*h**3\/6 + 3*h**2. Let j be k(3). Factor -2\/3*r**2 - 2*r**j - 2*r**3 + 0 - 2\/3*r**5 + 0*r.\nAnswer: -2*r**2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 - 17*v + 26. Let h(u) = 2*u**2 - 6*u + 9. Calculate -6*b(c) + 17*h(c).\nAnswer: -2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddii when four letters picked without replacement from iididiii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:45 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/125 and 109\/930.\nAnswer: 23250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -15, 25, -25, -2.\nAnswer: -25, -15, -2, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247 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: Suppose -24*d + 219 = -21*d. Suppose 3*p - 4 + 10 = 0, 0 = 5*i + p - d. Suppose -h - i = -21. Solve -5*n + h = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Suppose z = -2*v - 4*z + 76, c = 2*z. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {q: 1, r: 1, n: 2, i: 1, m: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 4*g**2 - 2*g - 1. Let m be o(-4). Let l(n) = 5*n - n**2 + 4 + 5 + 2*n. What is the units digit of l(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4198 + -4337. What is the biggest value in -0.2, u, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 307, 303, 295, 283, 267, 247, 223?\n\"Answer: -2*p**2 + 2*p + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9 + 1. Suppose 0 = -9*m + 23 + 4. Suppose m*i = -3*c, -i = 7*c - h*c. Solve i = 5*p - 5*z + 2*z + 11, -5*p + z = 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212 - 102022012?\nAnswer: -102110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201656059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (9 + 28\/147*-48).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 515 + -519 + -11 + -2 + 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 2*y + 6, -y - 3 = 0. Suppose -4 = -3*l - z*p - 19, 0 = -5*l - 3*p - 15. Let m = 29 + -59\/2. Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16213 - -25154. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(3)*-3 + (sqrt(6) - -1*(sqrt(6) - (sqrt(36)\/sqrt(6) - sqrt(6)))))\/(sqrt(9)\/(sqrt(75)*6 - sqrt(3))*2).\nAnswer: -29*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351304.\nAnswer: 2, 43913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*5*1*sqrt(33))\/(2*(sqrt(81)\/sqrt(3))\/sqrt(9))*3*-5)**2.\nAnswer: 247500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1706724 and 864?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18196 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107666503 - 4?\nAnswer: 107666488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -53\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1 - -9) - 1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2330561515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72783576 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146*0.08.\nAnswer: -11.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/((-10)\/(-5)) - 3. Suppose 3*c - 7*c = -3*l - d, -2 = -2*l. Is (-3)\/c - 370\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54216967 less than 15?\nAnswer: -54216952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55437 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 1 + 1)*(-3*d + 7*d - 2*d) + 3*d**2 - 2*d**2 + 2*d**2 - 208*d**2 + 419*d**2 - 250*d**2.\nAnswer: -32*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 1\/2*a**2 - 1\/12*a**4 + 0 + 0*a**5 + 53*a + 1\/2*a**3 + 7\/30*a**6. What is the second derivative of v(b) wrt b?\nAnswer: 84*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(21\/4)*h\/h**(-12))\/(h**2\/h*h*h*h*h**(-21)))**(-8) assuming h is positive.\nAnswer: h**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000001011010001?\nAnswer: -1000001011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 29 = -92*d - 193, l + 15 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -104161120*a. Let f(j) = 3*j**2. Determine f(y(w)).\nAnswer: 32548616758963200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, -1\/11, 2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -116*r - 22040. What is d(-190)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272155011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146412 - 146411.8. Suppose 23 = c - 5*o + o, -c = -o - 32. What is the third biggest value in -0.1, a, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(80)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96888693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((-4)\/12)\/(14\/12)*7. Solve -3*k - 16 - z = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2\/2 - 3*l - 2. Let q be m(3). Solve 4 = o - q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Let r be 4\/(-10) + 108\/20. Suppose 0 = -2*m + r*m. Put 2, x, m in descending order.\nAnswer: x, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72421 (base 8) to base 7\nAnswer: 153242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = 17*m + 1480072. Let b = -15718 - m. What is b rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -4 - (sqrt(22)*-1)\/sqrt(2)) + -1 - (3 + ((sqrt(99) - (sqrt(99) - (-1*sqrt(99) + sqrt(99))))*5)\/(sqrt(9)*-2*-1)).\nAnswer: -8 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-19)\/z)\/(z*z\/(z*z\/(z**(1\/28)\/z*z)*z))*z**(-1\/2)\/(z\/((z\/(z*z**(1\/2)*z)*z)\/z)*z*z*z))**(6\/7) assuming z is positive.\nAnswer: z**(-2103\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 85652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -447 (base 10) to base 15\nAnswer: -1ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = -5*q - 0*o, o = 5. Suppose 0 = 6*t - q*t - 4. Let j = 3.4 + 1.6. Which is the third biggest value? (a) t (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -4)*3 - ((sqrt(7) + 0)*-5 + 0)**2.\nAnswer: -187 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*129.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -5*c, -c + 0 = -4. Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7 times 45314.85?\nAnswer: 575498.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74748534 is divided by 597.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*m + 8*m. Suppose -4*r + 9 = -3. Is r\/(m - (-2106)\/(-705)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141000 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260399711 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 - 11 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 521369238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 16*o = -3*w + 2254, -4*w + 11325 = 5*o. What are the prime factors of o?\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984377?\nAnswer: 3, 661459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.687 - 87.113. Let d = 123 + w. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -17*u**5\/60 + 4*u**3\/3 - 65*u**2. What is the first derivative of d(n) wrt n?\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3*c**2 + 2*c. Let s(k) = -k + 1. Let d be s(-5). Let o = d + -1. Let n be (24\/20)\/(2\/o). Determine u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:58 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/720 + 5*f**4\/24 + 16*f**2. Let k(t) be the second derivative of q(t). Let r(c) = c**2. Give k(r(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s - 10*s - 14*s + 38*s. Let t(y) = -2*y. Let j(c) = -5*d(c) + 3*t(c). Let u(r) = 8*r**2. Give u(j(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 + (14 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/4))\/r)**(-4)\/(r\/(r*r*r**(-14))*r**11) assuming r is positive.\nAnswer: r**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2\/5, -1158, -5 in decreasing order.\nAnswer: 2\/5, 1\/5, -5, -1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 554, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**2\/2 + 7. Let c(y) = -7*y. What is h(c(d))?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c338c24 - 2?\nAnswer: -c338c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004250863579 rounded to seven dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36205214.\nAnswer: 2, 41, 441527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 + 12*l + 2. Let p be t(-4). Solve -j = -3*q + 2, 2*j + p = -3*q - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 721, -103, 3 in ascending order.\nAnswer: -103, 3, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 3*i**2 - i. Let y be a(2). Suppose y*b + 2 = 30. Suppose 5*o - 63 = -23. What is the remainder when b is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 7*r - 4. Let w = -13 + 7. Let b be t(w). Let v(z) = 0*z + z - b*z. Let c(a) = -a. Give v(c(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-11 - 15) - 30\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) 4\/3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*w = -3*c + 8, 2*w - 28 = -5*c. Suppose c*s = -2*b - 196, -3*b - 2*s - 298 = 2*s. Let d = 104 + b. Solve 8 - d = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvtnvvn. Give prob of sequence tn.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219147 + 175713 = -762*m for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184692 is divided by 45952.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*y = 30, 0 = -6*y + y + 15. What is the third derivative of z**2 - 6*z**2 + 4*z**6 - 5*z**q wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/5*3)\/((-11)\/55). Solve -4*o + 15 = q*r - o, -2*r = -5*o - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) -3\/4 (c) -0.3 (d) 23 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3*y + 22, -173 = -18*y - 65 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/588 and 15\/44492?\nAnswer: 133476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**2*z**4 + 3*v**2*z - 5*v*z**4 + 110*v*z**3 - 107*z**2 wrt z?\nAnswer: 24*v**2*z - 120*v*z + 660*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18258547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/5*((-3)\/15)\/(4\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 334871 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 4*b + 2*b. Let q(j) be the second derivative of j**3\/3 + 4*j. What is m(q(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 = -6. Suppose 5*k = -a - 2*a - 136, 0 = j*a - 5*k + 74. Let p = a + 41. Which is smaller: -1\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -2*j - 6*j. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19094?\nAnswer: 2, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.9, -0.9, -1\/2, 2.3, 45 in decreasing order.\nAnswer: 45, 5, 2.3, -1\/2, -0.9, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 21*n**3 - 2*n**3 - 20*n**3 + n**4 + 4 + 1 as c*n + t*n**4 + l + q*n**2 + g*n**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/5, 0, 4 in decreasing order.\nAnswer: 5, 4, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -21, -36, -47, -48, -33, 4, 69?\n\"Answer: y**3 - 7*y**2 + y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) -4\/319 (c) 2107 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:26 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14468726294 from -0.17.\nAnswer: -14468726294.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0574 + -3793.7?\nAnswer: -3793.7574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 484 - 483.5. What is the smallest value in l, -5, -0.05, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -77. Suppose -2*v + 0 = 10, -k*n + 2*v = -247. Let t = n - 51. Calculate the greatest common divisor of t and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 6*w - 4*s + 176, w + 3*s - 6*s - s = 40 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 8 = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 607*o**4 - o**2 - 80*o wrt o?\nAnswer: 14568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m + 14. Suppose 0 = d + 6 - 54. Let a(s) = -59 - d - 9*s + 116. Calculate -8*a(k) + 5*n(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 3:52 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*y + 24, -2*v + 10 + 2 = 2*y. Suppose -5*r + 4 = -3*o + v, r = -3*o + 32. Calculate the remainder when 2\/5 + (-236)\/(-10) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/9 + 32*s**4\/3 + 680*s**3\/9 + 544*s**2\/3 + 1280*s\/9 = 0.\nAnswer: -40, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 225*28\/252 - 40\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 730963, 730962, 730961, 730960, 730959, 730958?\n\"Answer: -m + 730964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 340279388 * 0.3\nAnswer: 102083816.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 452 - 448. What is the highest common divisor of x and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65\/4 - -16. Sort 3, j, 0.2 in decreasing order.\nAnswer: 3, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i. Let h(c) = i*c**2 + 1 + c - 3*c**2 + 2*c**2. Let y(m) = 2*m**3 + 3*m**2 - 4*m - 3. Let f = 8267 + -8266. Determine f*y(o) + 3*h(o).\nAnswer: 2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12994328*z. Let b(v) = -v**2. Calculate b(d(n)).\nAnswer: -168852560171584*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 - 110*u**3 - 214*u**2 - 106*u = 0. What is u?\nAnswer: -53, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-55) + (3\/(-10) - 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16891284?\nAnswer: 2, 3, 1407607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -51*u**3 - 21*u**2 + 10*u - 63. Let n(f) = 25*f**3 + 10*f**2 - 5*f + 31. Let t(l) = 6*g(l) + 13*n(l). What are the prime factors of t(4)?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 36*k**2. Let a be n(-3). Let g = a + -315. Solve -3*v + 5 = -5*i, v = 5*i - 4 + g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 737170.\nAnswer: 8108870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 44*o**2 - 47*o - 17. Let a be (-3)\/9 - (-1)\/((-6)\/136). Let d be c(a). What is the highest common factor of 129 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + m + 3 = 2*m, 4*j = -2*m + 12. Let t(r) = r**2 - 2*r - 3. Let o be t(j). Suppose o*z = z - 2*n - 9, -2*z - 2*n = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.956 and 0.071.\nAnswer: 0.067876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -374*i + 14060880 + 198547274. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0209 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lidn when four letters picked without replacement from nieeeenelepedep.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 6*s**3 - 8*s**2.\nAnswer: 2*s**2*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1169.087 and 0.6?\nAnswer: -701.4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1715 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 21 + 15 = 4*i, -20 = -3*i + 2*z. Solve -3*r - 1 = i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1355380184 to the nearest integer?\nAnswer: 36815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f - 30*f + 21*f + 3. Let r(q) = 7*q + 7. Let x(p) = -p + 9. Let o be x(0). Calculate o*g(a) - 4*r(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 - 5243870*k + 5243875 = 0.\nAnswer: -1048775, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*1 - ((-21 - -36) + -12 + 4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -35)\/((-9)\/12). Suppose -4*z - 4*w - f = 0, -3*w - 13 = -2*z + 2*w. Let j(s) = 2*s**2 - s + 5. What are the prime factors of j(z)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 + 244 - 233)*(-12*z - 8*z - 4*z - 5*z).\nAnswer: 3219*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/8)\/((-2)\/(-8)) + 4. Suppose -4*b + 8 = -0*b. Suppose 0*v + 246 = 3*k - l*v, 5*v = b*k - 158. What is the greatest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*2)\/sqrt(3).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 u, and 1 i when four letters picked without replacement from yyiyuyruyruuryr?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3023, -6050, -9081, -12116, -15155, -18198?\nAnswer: -21245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j + 25 = 0, -4*j - 12 = 2*b. Suppose 0 = -b*k + 3*k - 297. Let u be 2\/7 - k\/63. Solve -u*v + 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/12*(-18)\/15. Solve -4*p + y*p - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-12 + (47 - 43 - (-17 + -2)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -398*v + 410*v - 72 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2123305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -32.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30245837.\nAnswer: 30245837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -720336 divided by -1032?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 3:01 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkkkekkke. What is prob of sequence eek?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (-9 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 g when four letters picked without replacement from xvgwxxxgxwgxgvwaxg.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 760 - -3202?\nAnswer: 3962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-3)\/285)\/(86\/(-430)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -23. Let b be (2 + (-21)\/x)\/1. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335652 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/2)*g**(-1)*g*g*g*(g*g\/(g**(-2\/15)\/g))\/g*g*g**(-1\/4)\/g)**(-48))**40 assuming g is positive.\nAnswer: g**(-10336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5623779, -5623780, -5623781, -5623782?\nAnswer: -5623783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19683878 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 34. Let t be z(-8). Sort t, 0, 4, -3 in decreasing order.\nAnswer: 4, t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9029479 and -2.\nAnswer: -1.0970521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2295039*p. Let h(q) = -7*q + 4. Give h(g(o)).\nAnswer: 16065273*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -27\/10 (b) -4741 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 4*c**5 + 3*c**5 + (-1 + 1 - 1)*(2*c**5 - c**5 + c**5) + c**5 + 1 - 4 + 0.\nAnswer: 4*c**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 42. Let t = r + -12. What is the units digit of 4 + 15\/t*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:59 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -76292.92?\nAnswer: -76293.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -1) + 7\/(-8 + 1). Let u = 12 - 9. Put x, -2, 1, u in descending order.\nAnswer: u, 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**4\/12 - 11*z**3\/6 - z**2\/2 + 5*z. Let l be y(-10). Put 0, l, -1 in decreasing order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 53, 82, 113, 140, 157, 158, 137?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 2.4, 0.4, -0.2, 3.1, 4?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q + 1. Let u(n) = 8*n - 4. Let s(m) = -m + 1. Let l(c) = -18*s(c) - 2*u(c). Calculate l(h) - 10*t(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*s - 112, s = 5*s + 4. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0 - u)*(-76610*u + 76610*u - 458*u**2) + 0*u**3 - u**3 + 2*u**3 + 3*u**3 - 3*u**3 - 2*u**3 + (2*u**2 + 0*u**2 + 0*u**2)*(-3 + 2*u + 3).\nAnswer: 461*u**3 + 916*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -2*h + 8, -4*z = h - 9*z + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 80. Let h = p + 118\/3. Let q = 0 - 1. Which is the third biggest value? (a) 0 (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u\/(u*((u\/(u**(2\/3)\/u))\/u)\/u*u)))\/u*u**27*u)**(2\/5))**10 assuming u is positive.\nAnswer: u**(352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-7)\/84). Suppose 0 = 3*a + 3*r + b - 36, -4*r = 0. Calculate the highest common divisor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3719*s**2 - 28552*s wrt s?\nAnswer: 7438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 12*y + 6. What is o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(2 + sqrt(1377))*4 + -2 + sqrt(1377)*-2 + 5*(sqrt(1377) + sqrt(1377)*2))**2.\nAnswer: 22572*sqrt(17) + 1500997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(56)\/(sqrt(8) + -2*sqrt(8))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6780 divided by 54438.\nAnswer: -1130\/9073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Let k(c) = 4*c. Let z(h) = -2*k(h) - 10*t(h). Let a(j) be the second derivative of 0*j**2 - 1\/6*j**3 - 6*j + 0. Give a(z(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -1967*q**3\/3 + 4248. Let n(h) = -8*h. Calculate n(o(b)).\nAnswer: 15736*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x - 3*x - 2*x)*(-x + 4 - 4) - 7569*x**2 + 18743*x**2 + 24834*x**2 + 8617*x**2 - 7573*x**2 + 14316*x**2 to the form b*x**2 + d + o*x and give b.\nAnswer: 51367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/13786832 or 0?\nAnswer: -15\/13786832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 10. Let t be s(-6). Factor f**3 - 4*f**4 + t*f - 10 + 4*f**2 - 5*f**3 + 10.\nAnswer: -4*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 3*l - l - 8, 0 = -3*l - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9))**(-34)*(r**(2\/9)*r)\/r*r\/r**(-5) assuming r is positive.\nAnswer: r**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0286010668 rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 19. Let v = g - 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3975956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 + 178. Suppose -n + 18 = -3*t, 0*t = -3*n + 5*t + j. Suppose 0 = -0*o - 3*o + n. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:36 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.01751965*5\nAnswer: 0.08759825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (449766 - 171*f - 449766)*(2*f**3 + 0*f + 0*f).\nAnswer: -342*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105600 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = -61 - 1 - 38 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by 714?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2935 is divided by 2918?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q. Let n be 1\/(-2*1)*q. Suppose n = -4*r + 9 + 23. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 - 6*t**2 - 22*t**2 in the form n*t**2 + b + x*t and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**3\/3 + 2*i**2 + 16*i + 5. Let v be f(-6). Suppose -700 = -33*o + v*o. Is o a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 12*y + 84. Find the first derivative of -1 + 12 + 4 - 130*q + y - 46*q wrt q.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1803 + 1802.8. Let u(m) = -2*m - 15. Let v be u(-10). Which is the closest to t? (a) 2 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5. Suppose -3*b + 0*r = -3*r - 15, 2*r + 10 = -b. Suppose 5 = -5*q + 10, 5*z - 4*q + 4 = b. Is y less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 15. Let o = 332 - -53. Suppose 5*j - 25 = i, 0*r - o = -4*r - j. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2327468 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455510 and 404?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z**4 - 1184*z**3 - 7476*z**2 - 9864*z + 3456 = 0 for z.\nAnswer: -3, 2\/7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*p**3 - 2*p + 237*p**2 - 9*p**3 - 279*p**2 in the form l*p + c + w*p**3 + o*p**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = 6. Suppose -5*u = z*n - 2*n - 15, -n = -3*u - 15. Let h be (9\/3 + (-14)\/6)*90. Calculate the greatest common factor of n and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - u + 240. Suppose -2*d + 2*z = -u, 3*d + d - z = 81. Calculate the remainder when 53 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38954 - 1402247\/36. Let n = y - -32\/9. Factor -1\/4 + 5\/4*v - n*v**3 + 5\/4*v**2 - 10*v**4 - 4*v**5.\nAnswer: -(v + 1)**3*(4*v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2. Let y(i) = -i**2 + 2*i + 3. Let p be y(3). Let z be u(p). Solve -6 = z*w - 4*n, -2*w - n = n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 14152624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*v - 39, 271 - 59 = 8*b + v. Solve 0 = -b*m + 29*m + 12 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 115, 434, 1071, 2134?\nAnswer: 3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 39*d**3 + 2*d**2 + d. Let g(q) = -q**3 + 2*q**2 + 11*q - 22. Let a be g(3). What is the units digit of o(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**3 - 261*w**2 + 5*w - 7. Let g(l) = 2*l**3 - 131*l**2 + 2*l - 3. Calculate -5*g(c) + 2*k(c).\nAnswer: -2*c**3 + 133*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*q + 5 - 1\/2*q**2 = 0. Calculate q.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -43\/3, 4, -0.08, -0.5, 1\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -217*4\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 8}. Give prob of sequence uau.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/61 + -129\/427. Which is the closest to -0.1? (a) -1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 5. Give t(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000212196 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6799.\nAnswer: 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77793695 from -0.798.\nAnswer: 77793694.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r + 3*r**2 + 2*r**2 - r**2 - 3*r**2 in the form g + k*r + p*r**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211 (base 3) to base 5.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhfdd. Give prob of picking 2 d, 1 m, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64, -65, -60, -43, -8?\n\"Answer: v**3 - 3*v**2 + v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, -118, 101?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5716.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/57 (b) 2\/11 (c) 8 (d) -0.5 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -28*z - 107. Let u = 91 + -96. Let l be y(u). Calculate the highest common divisor of 33 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5612591 to two dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - 9.92. Let i = w + 12. Let r be 5\/(-2)*-2 - 1. Which is the second smallest value? (a) r (b) 3\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3 + 30*j - 272 wrt j?\nAnswer: -6*j**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -3. Let s(n) = -n - 17. Let f(w) = -2*w - 35. Let b(z) = z**3 + 3*z**2 - 6*z - 2. Let q be b(-4). Let d(k) = q*f(k) - 13*s(k). Calculate d(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/95)\/(15\/750)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p**3 - 6*p**2 + 3*p + 1. Let q(m) = -51*m**3 - 26*m**2 + 13*m + 4. Determine -9*k(f) + 2*q(f).\nAnswer: 15*f**3 + 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 - z + 11. Calculate m(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -356 - -572. Suppose -3*o = -81 + 9. Calculate the greatest common factor of o and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - -5. Suppose 2*d - 2 = 0, 3*d - t = 4*j + j. What is the nearest to -1 in -2\/9, -3, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + ((-360)\/(-48) - 25).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2123303231 (base 5) to base 11.\nAnswer: -2600323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 29*x**2 - 51*x - 35. Let u(n) = -6*n**2 + 10*n + 7. Let s(j) = -2*q(j) - 11*u(j). Let d be (0 + -1)*1 - -6. List the prime factors of s(d).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:46 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 101, 315, 727, 1403?\nAnswer: 2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -557.5 - -558. What is the closest to -3 in -0.5, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1780389319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10902 = 678*v + 352*v - 5578 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6.6. What is r rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 19 + (-24 - -34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, 4, 1 in decreasing order.\nAnswer: 202, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -4*sqrt(2736)*4.\nAnswer: -180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, 0.2, 15, -0.129, -1233?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 5, o: 3}. What is prob of sequence xxo?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*h**4*x**2 - 2*h**3*x**3 + 6*h**2*x**3 - 28*h**2*x**2 wrt h.\nAnswer: 816*h*x**2 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2\/3*p**4 + 4\/3*p**2 + 0 + 0*p + 2\/3*p**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 1379407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172339449?\nAnswer: 3, 647, 88789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -68286?\nAnswer: 751146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 299\/(-156)*4 + 8. Which is the nearest to -1? (a) -3 (b) p (c) -2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 243620820550 and 81.\nAnswer: 243620820631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -281478.2 from 782.\nAnswer: 282260.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5716, -11520, -17308, -23068, -28788, -34456, -40060, -45588?\n\"Answer: 2*v**3 - 4*v**2 - 5806*v + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13423*i - 514518 - 1396768 = 6575*i - 11183*i for i.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 35. Suppose 3*c - 31 = w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 7*r**2 + 6*r + 5. Let p be o(6). Suppose -p*d = -9 - 1. Suppose g + 2*w = 9, 5*g - w - 14 - 9 = 0. Solve 10 = g*j, -3*q - j + d = 3*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11940 and -41\/420?\nAnswer: 83580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -91594 at most as big as -91593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 22 + 18 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 2*s**2 + 4*s - 1. Suppose 12 = -g - 2*g. Let q be c(g). Suppose 2*r + 3*r - 3*m - 394 = 0, -5*m = q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q - 30. Let j(g) = 3*g - 1. Let b be j(4). Let k(s) = s - 6. Let i(f) = b*k(f) - 2*n(f). What is the units digit of i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 220 = 2*h + 944, -921 = -4*v + 5*h. What is the least common multiple of 234 and v?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o + 45. Let c be w(8). Let b be (5\/((-30)\/(-9)))\/c*-4. Suppose -k + 5652 = 3*d, -b*k + 1889 = -3*d + 4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001010101010000 - 0?\nAnswer: 101000001010101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875*p - 875*p + 11*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*q - 389 = -2843 - 274 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {g: 2, v: 1, t: 7, j: 1, p: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4991622 divided by -16474.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 - r**4 + 763872*r**3 - 58*r**2 - 25621*r?\nAnswer: -120*r**2 - 24*r + 4583232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5270, 5294, 5318, 5342, 5366?\nAnswer: 5390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -0.3, 0.7, -8, -23, 3 in descending order.\nAnswer: 3, 1.3, 0.7, -0.3, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413126422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*j + 40 = 0, -3*j + 0*j = 5*s - 73. Suppose -3*w = -s*w. Solve 11*i - 7*i = w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 57 = s, -2*s - 3*s = -4*h - 287. Suppose 0 = 4*q - 77 - s. What is the remainder when q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b = -56*b. Solve b = -7*m - 9 + 37 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132930691?\nAnswer: 132930691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*g + 3782 + 2413 = 3504 - 4199 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Let l(u) be the first derivative of 199*u**5\/120 + 79*u**3\/3 - u - 209. Let o(g) be the third derivative of l(g). What is z(o(y))?\nAnswer: -79202*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.5 + 11.8. Sort -7, r, 1 in descending order.\nAnswer: 1, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-45)\/(-54)))\/(231\/56*14\/21)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*r - 73*r - 3472 - 65 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455 = 2*t - 5*x - 4437, -4439 = -3*t - x. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let l = -18 - -24. Let z = l + -5.8. Which is the third biggest value? (a) 3\/4 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106381578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2809*c - 720*c**2 - 2809*c in the form h*c + s + y*c**2 and give y.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2 - 6 - 3*s**2 + 9 + s. Let w(n) = n**2 - 37*n - 258. Let h be w(43). Give p(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j + 7957 = 2*y, -7982 = -2*y - 4*j. What are the prime factors of y?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 31527?\nAnswer: 63054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1136*p**4 + 734*p**3 - 10525511*p**2 wrt p?\nAnswer: -27264*p + 4404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 119*r**3 + 2*r**2 + 4*r - 363. Let p(j) = -5*j**3 - j**2 - j + 1. Let d(i) = h(i) + 4*p(i). Differentiate d(v) wrt v.\nAnswer: 297*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1752 and 9.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*j = -3*p + 32, -4*p = j - 56. Suppose 4*b - 2*w = -w + p, 0 = 3*b - 3*w - 3. What is the remainder when (-2 - 6\/b)*-14 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195559706617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = 0, -2 = -2*x + 2*g - 6*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2022120 (base 3) to base 11\nAnswer: -12a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-28))\/((-4899)\/92 + 53)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (6*(-2 + (sqrt(325) - sqrt(13)) - sqrt(13)))**2 + ((5*((sqrt(143) - -3*sqrt(143)) + sqrt(143)))\/(-1*sqrt(44)))**2)*-2.\nAnswer: -25545\/2 + 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10704292 divided by 92.\nAnswer: -116351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and ((-5508)\/19550)\/(4*(-2)\/(-10))?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 44. Let l be g(45). Which is the biggest value? (a) 5 (b) l (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/5368*40\/(-15)*33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -262.\nAnswer: 1\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 47085*t + 188274. Calculate p(-4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -234642533*z**4 + 572213620*z wrt z.\nAnswer: -2815710396*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {s: 2, l: 5, r: 1, v: 3, t: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2 + 2. Let g be c + (-2)\/(-3) + 0. Let r be ((-2)\/(-36)*5)\/((-15)\/(-9)). Sort g, -0.1, r in descending order.\nAnswer: r, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, -2, 1, -39, 2 in descending order.\nAnswer: 2, 1, -2, -39, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 290\/(-294) - (-2)\/2. Let r(p) = -p**3 - 27*p**2 + 58*p + 11. Let n be r(-29). Suppose -n*t - 3*i + 8 = -9*t, -4*i = 2*t - 10. Is w equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 32 = -10*a. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -8*i**5\/5 + 2*i**4 - i**3 + i**2\/4 - 9*i - 4. Let n(w) be the first derivative of g(w). Suppose n(q) = 0. What is q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 3*b - 2. Let t be a(2). Suppose 2*c - t = 20. Suppose 0 = 2*q + 3*k, 0 = 4*q - 2*q - 4*k - c. Solve w - p = 2*p - 9, 0 = q*w - 3*p + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722386429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/3563 - 1012\/3563. Which is the nearest to j? (a) -20 (b) 11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 29\/((-102718)\/(-211246)) - 1*4\/(-46).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3440 = 13854*c - 13894*c for c.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 2*y)*(0 - 2 - 1)*(42*y + 4194 + 4189 - 8383).\nAnswer: -378*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8419507cm?\nAnswer: 0.000008419507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2854743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -12, 36, 136, 306, 564, 928?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 99, 126, 179, 264, 387, 554, 771, 1044?\n\"Answer: f**3 + 7*f**2 - f + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.048 + 4.952. Let k = 4 + -4. Let g = 1\/506 + 1263\/1012. Which is the biggest value? (a) i (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (234\/15)\/((-8)\/(-60)). Suppose 0 = -3*b - 3*r + 28 + 323, -b + x = -5*r. Let a = 107 - b. Let i(n) = -1. Let m(d) = -5*d + 10. What is a*i(p) - m(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2313756096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let b be 30\/m + (2 - 0). What are the prime factors of (-149)\/(-7) - b\/28?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/6 + 5*u**4\/12 - 18*u**2. What is the second derivative of t(j) wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61387 is divided by 12253.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 180216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f + 124*f + f**3 + 6*f**3 - 113*f - 4*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/217495 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -8 + 0)\/(-4). Is -1\/4 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j + 0*j)*(-2 - 4 - 3)*(5 + 2 - 2)*(-j - j + 5*j).\nAnswer: 135*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 41*b**2\/2 - 4*b - 21. Let c be z(-1). Let d = 35 - c. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-8)*(-1320)\/3300)\/(1\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 6*f - 132. Let i = f - -32. Which is the nearest to i? (a) -0.3 (b) 1\/8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1276 and 464.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8387 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: Simplify (sqrt(108) - (sqrt(108) - (sqrt(108)*5 - sqrt(108))*5))\/(-4*4*sqrt(576)).\nAnswer: -5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:40 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**3 - 11*z**2 + 9*z + 12. What is u(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37404 - 2?\nAnswer: -37406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61.6 and -33536.\nAnswer: -2065817.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.65 - 1.54. Round y to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/12 - -3) + 4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**4 - 3*w**2 - w + 22*w**4 + 3*w - 4 - 13*w**4 to p*w + v*w**3 + r*w**2 + k + l*w**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532008390?\nAnswer: 2, 3, 5, 103, 172171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 46. Put -0.5, -2\/3, j, -0.2 in decreasing order.\nAnswer: j, -0.2, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u - 16. Let o be (-9)\/(-6)*u\/(-6). What is the greatest common divisor of o and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1284, 1333, 1382?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18996 = -122*u + 134*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 65774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*p + 8548 = 66808 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 550 = -9*i. Let x = i - 55. Suppose 0*j = -x*j - n + 72, 0 = -j - 5*n + 18. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (68\/(-3 - 1))\/(-1). Let h = -1293 - -1309. Which is greater: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(-1*sqrt(4))*4)\/(sqrt(24)\/sqrt(48) + 4*sqrt(8)*1).\nAnswer: -16*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 45. Let p be n(14). Let r = -5 - p. Let x(g) = -g**2 + 6*g - 5. Give x(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -44*c + 824. Give m(18).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b - 3*b)*(b**2 - 5*b**2 + 2*b**2) - 15*b - 7*b**3 + 15*b.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/456 and (-70)\/175 - 1538\/(-1920).\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.225994kg to grams.\nAnswer: 4225.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1196, 2274, 3250, 4124, 4896, 5566, 6134?\n\"Answer: -51*u**2 + 1231*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 2*y**2 - 3*y + 3. Suppose -23 = -3*l + d, -l + 7*d + 9 = 8*d. What is the remainder when l is divided by a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6495 and 10095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.43101 seconds in minutes?\nAnswer: 1.8071835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12518, -2124.\nAnswer: -12518, -2124, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/3 + 18364*y**3\/3 - 92101636*y**2\/3 + 23850281728*y - 5060270272512 = 0. What is y?\nAnswer: 446, 8736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, -41.1 in descending order.\nAnswer: 2, 1\/4, -41.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76601 - 3114.3.\nAnswer: -79715.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, s: 1, l: 1, m: 1}. Give prob of sequence jl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q - 12 = 0. Solve 0 = -q*w - 2*h + 22, -w + 0*w - h = -9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.174903ns in milliseconds?\nAnswer: 0.000006174903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -0.24. Let r be (-2)\/2 + (-10)\/(-8). Let j = 14 - 18. Which is the nearest to r? (a) p (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474998949.\nAnswer: 3, 52777661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r + 17 = -3*g, 8 = 2*r - 2*g. Let q(y) = -10*y + 1. Determine q(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 5:10 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-24)*(-2)\/3*3. Let p be (q + -1)*(-15)\/6. Solve 2*i - 2 = -3*y, 0 = 4*i - i - p*y + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = 2. Let t(z) = -z**2 - 11*z + 1. Let w be t(-9). Solve 3*m + 5 + 8 = 2*b, d*m = b - w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*l + 148739, -54*j + 56*j + 2*l - 148744 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*12\/135*(3\/13)\/((-1470)\/1911)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-74)\/111)\/(4\/(-12)). Let w be (-5)\/(-10) - (-1 + 1). Suppose -w*m**2 + z*m - 1\/2*m**3 + 2 = 0. Calculate m.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97452 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4638.\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 5. Suppose o = -3*v + 5. Let j be (-1)\/(-2)*6\/(-9). Is v >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u - 14*u + 21*u - 28. Let g be t(-8). Solve -3*r + 8 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 59*t + 59*t + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 2 in decreasing order.\nAnswer: 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1449720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -374805.\nAnswer: -1\/124935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328262 is divided by 163840?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13948 + 2.02531?\nAnswer: 3.16479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/5 (b) -9 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115539 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*w - 7, -5*w = -r + 1 - 14. Solve 11*p - r*p = -45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.090748 and -0.111.\nAnswer: -0.201748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 3*k)*(0 - 4 + 2) + (-7*k + 4*k - 6*k)*(-3 + 0 - 4).\nAnswer: 59*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678*923\/546 + 2\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -141 + 45 - 33.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:19 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. Let u = 3 + s. Let o(y) = -y**2 - 13*y - 2. Let j be o(-13). Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:56 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4813 (base 11) to base 12\nAnswer: 3796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Suppose -2*z + 0*z = -k*h + 8, 0 = 2*z - h - 4. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2935424 divided by 68?\nAnswer: -43168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4053 divide 245103266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000114 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13131 - -13131. Let h be ((-8)\/(-6))\/(-2)*3. Let v = -3 + h. Put -2, v, r in ascending order.\nAnswer: v, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 0*f**2 + 0*f**2)*(1 - 1 - f) - 83*f**5 + 139*f**5 + 89*f**5 - f - f**5 + f.\nAnswer: 147*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/7? (a) -6\/11 (b) 0.3 (c) -6.6 (d) -5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108859732 by 2.\nAnswer: -54429866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 2*k - 148 + k**2 + 295 - 145. What is the lowest common multiple of 11 and y(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/56628 and 14\/15?\nAnswer: 283140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328872953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**3 + 0 + 5\/3*m**5 + 0*m - 8\/3*m**4 + 2\/3*m**2.\nAnswer: m**2*(m - 1)**2*(5*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*p = -25, 195*h = 197*h - 8*p + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*x - 8*x + 3*x)*(11*x + 5 - 39 - 10*x) as t*x**2 + z + k*x and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 32.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 2*w**5\/5 - w**4\/3 - w**3\/2 - w**2\/2 - 2*w + 317. Let a(t) = -8*t**3 + 5*t**2 + 4*t + 2. Calculate 3*a(b) + 4*p(b).\nAnswer: 8*b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 590961 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 808882032 to the power of 1\/3, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 868 - -1369. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 4 - 4)*(-2078*d + 30 - 201 + 2106*d).\nAnswer: 56*d**2 - 342*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 0*u - 2*u)*(-5*u**2 + 6*u**2 - 6*u**2) + (252*u**3 + 228*u**3 - 1608*u**3)*(2 + 0 - 3) to the form i + m*u**3 + g*u + k*u**2 and give m.\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n - 15 + 15 + 0*n - 15*n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594\/(-495)*1\/((-8)\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 k when four letters picked without replacement from kpppkrpkpkp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 21.0009. Round c to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -3.215.\nAnswer: -19.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3706?\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -377, -1310, -3141, -6170?\n\"Answer: -50*p**3 + p**2 + 12*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exexxxxxxex. What is prob of sequence ex?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 255748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311587 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9210287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - i**2\/2 + 33. Suppose -q - 26 = -4*q - 5*m, 0 = -4*m + 16. Calculate o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98888\/31 or 3190?\nAnswer: 3190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80468?\nAnswer: 2, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246838048 divided by 1?\nAnswer: 246838048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w)**(-25))**(3\/11) assuming w is positive.\nAnswer: w**(-375\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {w: 7, f: 5, u: 1, v: 3, o: 2}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 3*u + 8. Let o(y) be the first derivative of y**3\/3 - y**2\/2 + y - 1. Let v(a) = a**2 - 33*a - 431. Let i be v(43). What is i*n(x) + 4*o(x)?\nAnswer: -x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51a (base 12) in base 4?\nAnswer: 23212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 6*c**2 - 9*c + 23. Determine u(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31766 + -1c?\nAnswer: -31784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 15 - 35. Let q = 11 + g. Let o = q - -27. Do o and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*l)*(15 - 111 + 383 + 99) + l + 4 - 4 to the form f + b*l and give b.\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2)\/(12\/16). Suppose j*b = -10 - 2. Let k be b + 2 + 6\/(-3). What is the third smallest value in 1, k, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315893 is divided by 24297?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350 times -19?\nAnswer: 44650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - ((-2)\/2 + 4\/(-4)). Suppose -3*m - 15 = 4*y - a*y, -2*m - 9 = -3*y. Solve -c + o = 5, -3*c - o = -m*o + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24708 + -25358.97. Let u = -648 - h. Let l = u + 0.03. What is the smallest value in 1, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -5, 3 in decreasing order.\nAnswer: 55, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 7*n**2 - 11*n + 2. Let t be o(5). Let b = 725 - t. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1916, -5, 5 in ascending order.\nAnswer: -1916, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -37*n**3 - 19*n**3 - 132 + 11*n**3 - 51*n**2 - 13*n**2. Find the second derivative of h(u) wrt u.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46422*p**4 + 47137*p wrt p.\nAnswer: 557064*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4431\/5 + -886. What is the common denominator of d and 49\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, g: 3}. Give prob of sequence ggw.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1229, 4897, 11005, 19547, 30517?\n\"Answer: -x**3 + 1226*x**2 - 3*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -341, -542, -763, -1004?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68326453*i + 131391695 wrt i?\nAnswer: -68326453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.030428045 and 1?\nAnswer: 0.969571955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12108716, -24217432, -36326148?\n\"Answer: -12108716*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 g when four letters picked without replacement from {k: 6, g: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65031404 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from {m: 1, z: 2, i: 4, o: 2, h: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + -28 - 40) + -8?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 5) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -2\/11, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let i(d) = -10*d + 4. Determine i(h) + 3*z(h).\nAnswer: -10*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -0.839, 161?\nAnswer: -0.839","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzzm when four letters picked without replacement from {z: 6, h: 4, m: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 723 - 721. Solve 5*u + j - 1 = -4*r, 4*r - 6 = 2*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -132 (c) 4654 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558666 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:19 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i + 2 = -4*q, 0 = -3*q + 2*i + 10. Factor -4*b + 6*b**2 - 7*b**2 - b**q - 2.\nAnswer: -2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kikkumzmumizmzim.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 933895 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 67*y - 105. What is the units digit of t(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 144\/(-240) + (-1)\/5*-33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15275973+39947\nAnswer: 15315920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.06, 1\/4, 6, -1\/3 in increasing order.\nAnswer: -1\/3, 0.06, 0.1, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from mmttewwmmmtteemewmy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32534 is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 310770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 657978 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - 4) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100395 + 290395. Round v to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 0 + -3 + 5. Suppose -b*g = -g + 20, -g + 210 = 5*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (647 + 536 - 35 + 1158)*(0*b**4 + 6*b**4 - b**4)*(-2*b + b + 0*b).\nAnswer: -11530*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 16. Let j(y) = -10 + 3*y**2 - y**3 + 3 - 7*y - p*y**2. Let t(u) = -3*u**3 - 42*u**2 - u - 20. Let b be t(-14). Calculate j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123810 or -123813?\nAnswer: -123810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 5*r - 48*r. Solve -r*d = -g + 10, -d - 6 = g - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1074.1 and -44256.\nAnswer: -45330.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159 + -82. Let p be q\/22 - (-2)\/4. Suppose -p*n + 40 = -44. What is the greatest common divisor of n and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 564903 - -555935. Let t = o + -1120838.1050338. Let x = -0.105 - t. What is x rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0*o**2 - 2 + 11*o + 0*o**3 + 1\/12*o**4. Let h(p) = 49*p - 49*p + 12*p**2. Determine h(w(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (-1 + sqrt(2))**2 + -1)*5.\nAnswer: -5*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let c be 7\/f*(-6)\/7. Let i(a) = 3*a**3 + 2*a**2. Let x(v) = -19*v**3 - 13*v**2. What is c*x(o) - 39*i(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = -5. Let k be (-1 - (-2)\/(-2)) + 5. Put x, 1, k in descending order.\nAnswer: k, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 1.8. Let z = -2 - i. Let k(w) = -55*w - 1814. Let p be k(-33). Sort -0.2, p, z.\nAnswer: z, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -0.35. Let c be (2 - -1) + 41 + -45. Let o = 4 + -2. What is the nearest to c in o, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 530\/(-265)*(413\/35*-1)\/(2\/5)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 303?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80684054.\nAnswer: 2, 11, 47, 78031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 6 - (-97 - -108).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*d**2 + 139*d**2 + 311*d**2)*(-4 + 1 + 2)*(-16 - 7 - 4) in the form c*d**2 + o + r*d and give c.\nAnswer: 12555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. What is the second derivative of -2 - 2*y - 3*y**t + 2 - y wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.201 + 101.201. Let z = 100.9 - l. Which is the nearest to 0.1? (a) 0.04 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b*h**2 - 11807*b*h + 962320*h**2 wrt b.\nAnswer: -4*h**2 - 11807*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (0 + 4 + 2 + -3). Sort k, -5, 7 in descending order.\nAnswer: 7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 30*h - 27*h - 10 = 0, -p - 11 = -2*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -3. Let w(q) = -q**2 - 5*q + 8. Let v(s) = -s - 12. Let g be v(-6). Let i be w(g). Solve 0 = -i*d + 5*z - 18, -24 = a*d - z - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1 + sqrt(12)\/sqrt(4)*-2 + 4)**2 + (2 + (sqrt(81)\/sqrt(3) - 1*sqrt(192)))**2.\nAnswer: -92*sqrt(3) + 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 1}. Give prob of sequence oo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1317 + -144557?\nAnswer: -143240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3679997, -7359989, -11039979, -14719967, -18399953, -22079937, -25759919?\n\"Answer: o**2 - 3679995*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {m: 1, r: 2, o: 2, z: 6, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 3*p - 2*p - 8 - 19*p + 8 + 3*p + p - 2*p + p + 4*p - 3*p + (-1 - 3 + 1)*(1 + 2*p - 1) + 4*p - 13*p - 2*p to c*p + j and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85185883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*72\/84. What is the third smallest value in 0.3, -0.4, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 + 7 - 4 + 4*a - 6.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381595 is divided by 30702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgsssg. What is prob of picking 1 g and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(20\/16) - -4. Suppose -26 = -4*v + 5*n, a*n + 4 = 2*n. Solve 2*i + v = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*9\/(-36))\/((-2)\/(-4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/2 + 2871*j - 17244 = 0.\nAnswer: -5748, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 9, -11, -3\/7, -0.6, 110, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 3, 9, 13?\n\"Answer: -v**2 + 11*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 12. Let p be l(-2). Suppose -21*c + f + 900 = -17*c, -5*c = p*f - 1138. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/14)\/1 - 93818\/427. Is -223 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*h + 64 = 66*h - 234. Which is the second smallest value? (a) 106 (b) -0.27 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 3*f + 1. Let i be j(2). Suppose 2*x + 4*s = -0*s - 2, -i = s. Let d = 2702 + -2698. Solve -q + d = -x*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2285*h**2 + 70*h**4 - 364*h**3 - 9*h**4 + 135*h**4 + 362*h**3 wrt h?\nAnswer: 4704*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5*w + 6 + (1 + 0 + 1)*(0*w + w + 3*w) as n*w + d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 961673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/4)\/((-234)\/(-312))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -73*u - 23. Let p(d) = 201*d + 68. Let o(h) = -4*p(h) - 11*y(h). Let l(v) = -5*v - 95. Determine -2*l(a) + 11*o(a).\nAnswer: -a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -7. Suppose 1 = 5*l - s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -31. Let m(w) = 5*w**2. Let z be m(1). Suppose -v + b = -33, -n = z*b + 2. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113756?\nAnswer: 2, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a + 56. Let p be r(-4). Suppose w + 11 = p*w. Solve -f - w + 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(2 + 2*p - 2 + (3*p - 4*p - 6*p)*(-2 - 2 + 5)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/96 and -119\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 15. Let b be (1 - 1)\/(-3 - -1). Suppose b = x - 5 + 3. Solve -r*o = -x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 18 - ((1 - (0 + 3)) + -88)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.054 - -5.054. What is the biggest value in 3\/10, -4\/9, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -530, -804, -1080, -1364, -1662, -1980, -2324?\n\"Answer: -r**3 + 5*r**2 - 282*r - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-60))\/((-18)\/144)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03974 * -0.3.\nAnswer: -0.011922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39473 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 3*o**2 + 2*o**2 - 5*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 519*q - 1022*q + 521*q + (-1 - 2 + 1)*(q - 2*q + 2*q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (72\/3)\/3 - 0. Let g(h) = 10*h**2 - 13*h**2 + x*h**2. Let p(z) = 3*z. What is p(g(v))?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y - 2. Let c be o(-2). Let d = -8 + c. Suppose -d*r = -0*m - m - 1, m - 3*r = 3. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740.5235 meters to millimeters.\nAnswer: 740523.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/21 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*t + 7 = 0, 3*a = -a + 3*t + 15. Suppose 159 = 71*i - 221 + 96. Solve i*m = a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -32*d - 60. Calculate the smallest common multiple of 27 and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 10\/(-40))\/((-10)\/160)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260 or 256?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -539 + 374. Let v = -149 - n. What is the highest common factor of 104 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 14604.68 years in decades?\nAnswer: 1460.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 - 5*f + 4. What is h(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.9 bigger than 420\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90104573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(22 + 2*t**2 + 59*t - 22).\nAnswer: 4*t**3 + 118*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527412.4216468 plus 0.2?\nAnswer: 1527412.6216468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 + -1 + (-7 - -5). Differentiate 4 - 4*j**2 - 18 - p*j**2 - 11 with respect to j.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -48, 4\/5, 12\/5, 5, -9, 0.13, 4?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144*m**5 + 813*m**4 + 2*m - 14908 wrt m?\nAnswer: -2880*m**3 + 9756*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 201, 4, -6, -14, 2 in decreasing order.\nAnswer: 201, 4, 2, 1, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -2132?\nAnswer: 138580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 43, 51, 59, 67, 75?\n\"Answer: 8*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -499 (base 14) in base 6?\nAnswer: -4131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675305041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g + 1. Suppose -2*z = -2*y + 8, -2*z - z = 0. Let s(u) = u + 1 - y - u**2 - u**2. Calculate 5*r(c) - s(c).\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 - -85. Suppose -f - n = 4*f. Let w = 60 + f. Solve 2*i + w = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131072 (base 11) in base 14?\nAnswer: -552da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179 at most as big as 4464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1999, -1996, -1989, -1978, -1963?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 446 + -32. Let n = -257 + x. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 + 759. Is r a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(4\/3))**(1\/35))**31)**(-3\/4) assuming z is positive.\nAnswer: z**(-31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 + (5 - (4 + 2 + -28))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 128 = 107 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/396 and -89\/1188.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7826 - 4806. Round g to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t + 16. Let b be n(-1). Suppose -1058 = -2*y - 4*h, b*y - 1577 = -0*h + 4*h. List the prime factors of y.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*m*x - 5*c**2*x**2 + 2*c*m**3*x + 115*c*m*x + c*m + 75*m**3*x**2 + m**3*x wrt x?\nAnswer: -10*c**2 + 150*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 557\nAnswer: -1\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7533 and -77\/648?\nAnswer: 60264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 18*x + 37. Let g be t(16). Put -3, -4, g in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285132 divided by 6?\nAnswer: -47522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -334.972 and 13.\nAnswer: -321.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 322082 and 238?\nAnswer: 2254574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -153\/1540 and 199\/4620.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (35\/(-15))\/(-7) + 6\/(-72). Which is the nearest to w? (a) -0.5 (b) 2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + (sqrt(112) - (-3 + sqrt(112)*3))) - (1 + -1 + sqrt(112) + -2 + sqrt(112) + -2))**2.\nAnswer: -160*sqrt(7) + 1817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.11551km in centimeters?\nAnswer: 3611551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -34*z + 10980. Let y(v) = 20*v - 6587. What is 7*r(p) + 12*y(p)?\nAnswer: 2*p - 2184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:26 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -696, 5, 3, -3 in decreasing order.\nAnswer: 5, 3, 2, -3, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-18)\/b)\/b*b**(-1\/11)*(b\/((b\/(b**(13\/2)\/b))\/b))\/b*b*b**7 assuming b is positive.\nAnswer: b**(-145\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1068 + -1066. Solve -f*b - 2 + 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56315345962 and 0.1?\nAnswer: 56315345961.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Suppose -2 + 4 = 2*x. Let h = 7 - x. Let z(g) = -3*g - 6 + h. What is z(s(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2313 - 2338. What is the second smallest value in g, -1\/7, 1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 22*h + 159. Determine s(23).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 8*y + 88. Determine k(20).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 24 + 32, 61*j - 59*j - 4*n = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 96*a - 154. Determine p(55).\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {s: 2, k: 1, j: 1, w: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(23600*p**5 - 13665*p**5 - 12663*p**5).\nAnswer: 5456*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(304)*5*3*-4.\nAnswer: -960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13834*b - 553172. Calculate n(40).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 - 128. Calculate the highest common factor of 60 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 350*i. Let f(d) = -4379*d**2. Calculate g(f(r)).\nAnswer: -1532650*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s - 23*s - 21*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 - 3 + 6 + 0*r + r. List the prime factors of k(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1245*g**2. Let p(w) = 34629*w. What is p(x(q))?\nAnswer: -43113105*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 215612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337483225 greater than or equal to 1337483224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40986686.\nAnswer: 2, 13, 19, 29, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4707 + -0.5293. What is the third smallest value in a, 10, -0.4, 1\/2, 3\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2950293 months in years?\nAnswer: 0.024585775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/103930 and -37\/235210.\nAnswer: 4468990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 69.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 + i**4 + i - 69 + 14*i**3 + 4 in the form q*i**4 + c*i**2 + n + r*i**3 + d*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 466980576?\nAnswer: 5136786336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 235 = 4*k + 95, -2*r - 5*k + 82 = 0 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86, -163, -228, -281, -322?\n\"Answer: 6*d**2 - 95*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -7. Suppose -4*d + 99 = 5*l, -3*d - 34 = -s*l + d. Suppose 6 = -r + l. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.3 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 193, 393, 687, 1093, 1629, 2313?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 2 - ((-52 - -12) + -9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 290.151 - 290. Let n = 5.151 - i. What is the nearest to 2\/7 in 0.69, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 4*g**3 - g**3 + (2*g + 4*g - 5*g)*(0*g + g**2 + 0*g) - 3*g + g**3 + 3*g - 80*g**3 - 78*g**3 + 149*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 7*b**2 + 12*b - 7. Let c be p(5). What is the units digit of ((-4 - -249) + c)\/(-2 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Let i = -4 - x. Let f(y) = -2 - 1 - y + 0. What is f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3333 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 200. Let q(m) = 15*m**2. Determine q(r(v)).\nAnswer: 60*v**4 - 12000*v**2 + 600000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3948, 31661, 106920, 253509, 495212, 855813?\nAnswer: 1359096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 8 = -28. Solve -s*c + 3*h - 5 = 0, 2*c + 4*h - 1 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Let q be ((-93)\/(-12) - 9) + 54\/40. Let h = 11\/5 - 2. What is the third smallest value in h, x, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978842.4 rounded to the nearest ten thousand?\nAnswer: 1980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11715598 is divided by 1301731.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.18, -4\/7, 260\/9?\nAnswer: 260\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.9. What is the closest to 1 in k, -5, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109\/39 - -19\/13. Put 2\/35, -2\/5, m in descending order.\nAnswer: 2\/35, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1111 and 121059004.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -0.0963.\nAnswer: -3.1779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2 = 2*f, -2*j = -4*j + 3*f + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22341234 and 69.\nAnswer: 22341234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.61 + 17.91. What is the second biggest value in x, 25\/2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 7. Let k(s) = -2*s - 8. Let z(o) = -22*o - 21*o**2 - o**3 + 2 + 2*o**3 + 0*o**3 + 2. Let v be z(22). What is v*q(h) + 3*k(h)?\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y - 13. Let s be c(-6). Let r = 21 - s. Calculate the greatest common factor of r and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 112\/5, -31 in descending order.\nAnswer: 112\/5, 1\/2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = n, 0 = 5*n - 4*n + 4*o + 9. Suppose -2*q = -q - 4*i - 18, n*q = -3*i - 6. Suppose 0 = 176*s - 188*s + 48. Solve s = l + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u**2 + 3*u + 5. Let r(f) be the second derivative of -5\/12*f**4 - 9\/2*f**2 + 1\/20*f**5 - 5\/6*f**3 + f + 0. What is -5*m(o) - 3*r(o)?\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 m when four letters picked without replacement from eeeeeeeeeeeeeememee.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1089*i**2*z**3 + 58*i**2*z**2 - 5*i**2*z - i**2 + 2*i*z**3 + 95*i*z**2 + 1197*z**3 wrt z?\nAnswer: 6534*i**2 + 12*i + 7182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:22 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 619318 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, -66, -9 in decreasing order.\nAnswer: -4, -9, -11, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 41*h - 20. List the prime factors of l(9).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -d + 6*d. Let p(m) = -m**3 + 7*m**2 - 6*m - 4. Give p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-3))\/(3\/(27\/2)). Suppose -7*p + c*p + 27 = 0. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 5:29 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 3, 174 in descending order.\nAnswer: 174, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1170? (a) -4 (b) -1 (c) -1\/3 (d) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -18.7 (b) -10 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28392 is divided by 4126?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n - 66*n**2 + 75*n**2 - 47*n**2 wrt n?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -2975?\nAnswer: 2975.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aooaqoooaa. Give prob of sequence qo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-627)\/66 + (-3)\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 39 = -6*n. Is n less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173489 and 25783.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -171*h - 160*h - h**2 + 331*h. What is a(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 11 - 76. Let v = 1.9 + -3.9. Let x = 58.5 + -59. Which is the second smallest value? (a) r (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 295, 237, 151, 31, -129, -335?\n\"Answer: -o**3 - 8*o**2 - 27*o + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - g + 2, 0 = 2*h - h + 4*g + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:51 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1613*z - 1635*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 + 500*m**2 + 2344*m - 6720 = 0. What is m?\nAnswer: -120, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.477 + -2.177. Let m = -3.5 + 4. What is the biggest value in o, 5, -3\/7, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*-9*(-870)\/(-75)*300\/(-72)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3)*h)**(21\/5)*(h**0\/h)**(18\/5))**(-4\/13) assuming h is positive.\nAnswer: h**(-152\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326982 is divided by 890.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*40\/(-8))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 0.01. Let f = h - 0.34. Which is the second smallest value? (a) 2 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttfsf. What is prob of picking 2 f and 2 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 9*t + 28. Let i(z) = 2*z + 7. Calculate -9*i(h) + 2*v(h).\nAnswer: 2*h**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 322355.\nAnswer: 322352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.210777692 rounded to 3 dps?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*16\/(-64)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/7 + 646*p**4\/7 - 1332*p**3\/7 - 10396*p**2\/7 + 190*p + 9750\/7 = 0.\nAnswer: -325, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -576271?\nAnswer: 576278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:00 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 - 1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -3, 20.49 in ascending order.\nAnswer: -3, -2\/15, 20.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-10 + 18 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23 + 3*l**2 - 49*l**3 + 6*l - l**2 + l**2. Is v(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 781959.8 millimeters?\nAnswer: 781.9598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 7*g**2 + 8*g**2 + g + 1 - 4*g.\nAnswer: 15*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**6\/225 - 11*h**5\/150 + h**4\/9 - 3*h - 10. Find t such that f(t) = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4534*t**3 + 0 + 9061*t**3 - 4532*t**3 + 0.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 + -1 - (8 - 182) and 272?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492370 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 67991 - 3*a - 67991. Let n(g) = 37*g**2 - 2. Give n(x(o)).\nAnswer: 333*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203.6 - -183. Let g = 20.6 + i. Which is the fourth biggest value? (a) -3 (b) 1 (c) -5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/(-2) + (-84)\/(-1648)*100\/(-360) and 19\/48.\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-10) + 2\/10. Let m be (-38)\/(-12) - o\/6. Let g = m + -3. Which is the nearest to 0.1? (a) -2\/11 (b) 3\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + 0.2. Let j = 85\/3 + -28. Let f = 59 - 58.7. Which is the nearest to 0? (a) p (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8906669\/3 or -2968889?\nAnswer: -8906669\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2753, -4103, -5453?\n\"Answer: -1350*y - 1403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 47 = 2*s. Let t = s - 27. Suppose k - 12 = -2*n, -4*k + n + 24 = -3*n. What is the smallest common multiple of t and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*(-318480)\/(-10616)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264, 1\/8, 5 in ascending order.\nAnswer: -264, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-2 - -1))*(-5)\/2. Suppose 0 = -0*x + x - 84. Suppose 3*p - 40 = -5*d, 2*d - 3*d = -4*p + x. Calculate the highest common divisor of h and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tomt when four letters picked without replacement from {t: 5, e: 2, o: 2, m: 11}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 4*p - 1. Let v be o(-3). Suppose -2*x = v*k - 38, 5*k - 111 = -2*x + x. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 3:20 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 at least -4049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-20)*(-340)\/(-748)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -235365073 or -235365074?\nAnswer: -235365073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*g - 19*g + 30*g + 1.\nAnswer: -86*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 8830*u**3 - 522600*u**2.\nAnswer: -2*u**2*(u + 60)*(u + 4355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -120 (b) 4\/3 (c) -1 (d) -0.4 (e) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 4:13 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-234))\/(((-20)\/(-3))\/(-20)))\/(2\/40).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -3040?\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 9*x**2 + 20*x + 15. Let j be z(-6). Find the first derivative of t - 37*t + j - 14*t + 17 wrt t.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3193\/11347 - -7\/1621. What is the fifth biggest value in 1.2, y, -4\/3, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43095*a*l**2*r - 2*a*l**2 - 6*a*l*r - 1137*a - 143*l**2 - 13*l - 4*r wrt l?\nAnswer: 86190*a*r - 4*a - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 3*v**3 - 2*v**3 + 3 + 1. Let d(j) = -204*j + 3. Let i(q) = 137*q - 2. Let l(m) = -2*d(m) - 3*i(m). Give r(l(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1377))**2*1 + (sqrt(1377)*2*5)**2.\nAnswer: 36*sqrt(17) + 139081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 12*t - 44, 6*t = -2*x + t - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1614339417 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**3\/3 - 573*v**2\/2 - 572*v - 8327. Factor m(b).\nAnswer: -(b + 1)*(b + 572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u + 4*u)*(-621 + 139 - 80 - 486).\nAnswer: -8384*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r + 2*r + (2*r - r + r)*(2 - 3 + 2).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 - 7*t + 3*t + 3*t + 2*t**3 + 21 in the form k*t + b*t**3 + n*t**2 + g and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18744649.\nAnswer: 7, 11, 243437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 169\/10 (b) -0.1 (c) 0 (d) 45\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13631, -13321, -12789, -12041, -11083, -9921, -8561, -7009?\nAnswer: -5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -35. Let m = n - 12. Which is the third biggest value? (a) -2\/13 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25102350 - -1041?\nAnswer: -25101305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9488 - 1831188\/193. Do d and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + -4) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1)*(1 + -2). Let n be -2*((-3)\/6 + s). Suppose -51 = -4*i - n*h, 3*h = 3*i + i - 59. Calculate the least common multiple of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 2 u when four letters picked without replacement from {b: 1, s: 1, w: 1, u: 3, j: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.1. Let r = 0 - l. Let h = 0.7 - r. Sort h, -2, 2 in descending order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhx when three letters picked without replacement from hxhuhccuhhhuhhhhhcch?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0*c**2 - 17\/6*c**3 + 0 + 1\/90*c**6 - 11*c + 7\/3*c**4 + 3\/10*c**5. Let a(l) be the second derivative of o(l). Factor a(b).\nAnswer: 4*(b + 2)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*l = 6558, 2*r + 0*r = 3*l + 3283. Suppose -7*p + r = -2077. What are the prime factors of p?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 not equal to -37\/4977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.49 in 3\/11, 0.5, 1.5, -37?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31889966803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 6*u - 42*v + 44*v, 4*u + 31 = -2*v - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p = 52*p + 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18459.67347ns in weeks?\nAnswer: 0.000000000030521946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36549201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.61 - -0.11. Let h = -2.1036 + 0.0036. Let m = h - t. What is the biggest value in -0.14, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**3 - 20*s**3 + 0*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 13*k - 49*t - 40 = -53*t, 3*k - k = k - 4*t + 2*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -1.2 (b) 0 (c) -0.3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.65 + 0.35. Which is the closest to -0.1? (a) 1\/2 (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -364.4 - -367. Round x to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39582 (base 11) in base 4?\nAnswer: 31310111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98414 and 29282.\nAnswer: 1440879374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*(40\/20 - 36\/8). Solve -145 = 23*s - i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + (sqrt(85) - 6*sqrt(85)*-1)))\/((sqrt(180)\/sqrt(4) + sqrt(45))\/sqrt(9))*3 + 5.\nAnswer: -21*sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m*m\/(m**(-1\/5)*m)*m*m*(m**(-6)\/m)\/((m**5*m*m*m)\/m))**(-11) assuming m is positive.\nAnswer: m**(484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 27. What is the common denominator of (936\/(-44))\/(-9) + 2\/(-2) and ((-174)\/(-9))\/((-28)\/h)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*p + 2, -5*p + 15 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 11:47 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 146b4 (base 13) in base 12?\nAnswer: 1a352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 0. Suppose 0*f = f - 4*g + 25, -4*f - 4*g = c. Let h(m) = -m - 4. What is h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1550 + -1?\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k - 315. What is the remainder when 69 is divided by x(-37)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 7*t**2 + 5. Let u be y(7). Suppose 0 = u*r + 58 + 87. Find the common denominator of -81\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1602 in 0, 8, -2\/9, -77?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77)*3*-2 - sqrt(77)))\/(sqrt(567)*-3*1).\nAnswer: -28*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12919, 25851, 38783?\n\"Answer: 12932*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 0*w + 12 - 7\/2*w**2. Let a(r) = 3*r. Determine a(y(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 7 + 0)*(3*h**3 + 1153*h**2 - 1132*h**2 - h**3).\nAnswer: 58*h**3 + 609*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l - 2. Give m(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38788, 38789, 38790?\nAnswer: 38791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75.5 + 11.5. Let f = 59 + s. What is the biggest value in 0.2, f, -0.07, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 65*t**2 + 126*t + 258. Give l(67).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81350 is divided by 34233.\nAnswer: 12884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31438843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2411 + (4 - (3 + 0)))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 7*s**2 - 7*s + 10. Let g be f(-8). Let o(q) = 0*q**2 + 2*q**g - q**2. Let u(t) = -t. Calculate u(o(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*u + 7. Suppose -6*k + k = 5*t + 875, 3*k + 2*t = -530. Let m be k\/u*2940\/18. What is m rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.6 - -6.537. Let v = 0.07649 + -0.01427. Let x = v + j. Round x to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2808 - -2806. Let d(g) = 3*g - 3*g - 3*g + 1. Let x(t) = -t - 2. Let z(b) = 2*b + 1. Let k(h) = -2*x(h) - 3*z(h). Give r*k(v) + 3*d(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359957 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 46023*b + 46024*b = 5, -6*b + 30 = 8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053.970185 rounded to 1 decimal place?\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 17 - -22) + -26.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-14))\/(1\/(-21)*6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + z + 14. Let h be r(0). Which is bigger: h or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/18 - 118*g**3\/3 + 10443*g**2 + 634*g. Solve d(m) = 0.\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.1805.\nAnswer: 2.3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -5*f. Suppose 5*p - p = f. Suppose -8*v + 4*v + 608 = p. Calculate the greatest common divisor of 38 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 7\/((-56)\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -45. Suppose -5*j - 7 = 4*d, -j + 0*d - r = d. Suppose -2*p = n - j, 18 = -2*p - 5*n + 7. Calculate the greatest common factor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14263310 or 14263312?\nAnswer: 14263310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3\/4 - 133215*q**2 + 1065729*q\/4 - 266433\/2 = 0.\nAnswer: -177622, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**3 - 23*b**2 - 17*b - 27. Let q be a(-3). Let n(v) = 2*v**3 - 15*v**2 + 24*v - 43. Determine n(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 7*v**3 + 9*v**2 - 243*v + 243*v.\nAnswer: 7*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 4*m - 26, -4*m - 88 + 67 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.4 (c) -1\/3 (d) 1.5 (e) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740583 is divided by 236?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 3506899.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + 19 - 17 + 11 + 6 + 2*g to the form p*g**3 + m*g + a*g**2 + r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**5 + 312*b**4 - 19528*b**3 - 944*b**2 + 57924*b + 39032 = 0?\nAnswer: -119, -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4485 = -136*o - 209*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**2 - 38*h - 191. Calculate o(-11).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*o**3 + 38*o - 2*o**4 - 14*o - 11*o - 14*o to the form p + z*o**3 + s*o**4 + i*o + y*o**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0 (b) -0.5 (c) -5 (d) -129460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:07 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -1 + 11)\/(-1). Let k = x - -4. Let h(r) = -5*r**2 + 21*r + 7. Let j(q) = q**2 - 5*q - 2. Let t(i) = 2*h(i) + 9*j(i). Give t(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1842102*t + 135762?\nAnswer: -1842102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 3*q + 4. Let i = 15 + -15. Suppose -2*p + 4*g - 16 = i, -2*p - 26 = -5*p - 4*g. Let j be l(p). Which is smaller: j or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 600*c - 1792. Calculate the remainder when 5013 is divided by t(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Suppose -d + 6 = d + 2*r, 0 = -4*d + a*r + 19. Find the second derivative of -4*n**3 + 4*n**3 - 9*n + 8*n + 4*n**d wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 15*p + 148. Solve c + 3*d = 6 + p, 2*d + 2 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1442 + 2389. What are the prime factors of s?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-81)\/(-2700)*18\/(-27).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:36 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 20*g + 5. Let r be l(4). Suppose 3*p - 20 = r. Let w = p - 17. Solve -w = -2*z - 4*d, -6 = -4*z - 0*d + 2*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155759.7 * 0.2.\nAnswer: -31151.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 3164 = -126*q + 1728. Suppose -36 = -i + 4*w, -2*i - 45 = -3*i - 5*w. What is the smallest common multiple of i and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 4*y - 6. Let b be m(-8). Let g = -16 + b. Suppose 0 = -c + 7 - 10, 5*s = -c + 197. What is the highest common divisor of s and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 662, 1928, 4360, 8342, 14258, 22492?\nAnswer: 33428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/3 - (-46)\/(-69). Suppose 12*t = m*t + 8. What is the lowest common multiple of 1 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6.4, -3\/7, -4.4, 0.5, 0.4, -3\/2?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, h: 1, k: 3, o: 1, x: 4, v: 2}. What is prob of sequence ovxh?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15181654?\nAnswer: 2, 7590827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*k - 50*k - 59 - 49*k - 853*k**3 + 123*k wrt k?\nAnswer: -5118*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 + 130. Let z(y) = y**3 + y + 3. Let t be z(n). Are 3 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -8473.21\nAnswer: -8428.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 9*n**3 - 5*n**3 - 4*n**3 + 9*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4\/5 - 10494*u**3\/5 + 41914*u**2\/5 + 157326*u\/5 - 188748\/5 = 0.\nAnswer: -3, 1, 6, 5243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 115425 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3))**(-4\/9)*((m\/(m*m*((m\/(m**(-8)*m))\/m)\/m*m*m))\/m)\/m*(m*m**4\/m)\/m*((m\/((m**(-4)*m)\/m))**(-1\/53))**(2\/95) assuming m is positive.\nAnswer: m**(-221594\/27189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13113 divided by -4\nAnswer: -13113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/30 - 2\/12. Let m be 3\/12 - (-2)\/(-8). Let h be (m\/(-2))\/(-4 + 2). Is h less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46549165?\nAnswer: 5, 13, 733, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + 10 + 0 + 6 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -4*r - 11*c + 2, 4*c + 4 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {h: 16, v: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 481*j + 478*j - 1415*j + 468*j. Let h(k) = -162*k**2. What is o(h(s))?\nAnswer: -1944*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163*u + 6*u - 1915 + 1914 to the form h + v*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 26, 9, -14, -43?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-8)\/(-32) - (1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2))**(3\/8)*(s*s**(-1\/8))\/s**(-1) assuming s is positive.\nAnswer: s**(21\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**6\/3 - 2*u**5 - 716*u**3\/3 + 1425. What is the third derivative of j(v) wrt v?\nAnswer: 120*v**2 - 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 + 6*u - 1. Determine g(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1226981 - -1237142.06. Let c = -10066 + o. Let x = -95 + c. Put 0.2, x, -5\/3 in decreasing order.\nAnswer: 0.2, x, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times -116?\nAnswer: -7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30028 + -30028.2. Let c = 3.2 + -0.2. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 43*(-13)\/(13\/4). Let t = -136 - p. Calculate the remainder when 204 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:48 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lililzbbl. Give prob of picking 1 b and 1 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2\/3, 4, -2, -2\/5, -0.5 in ascending order.\nAnswer: -2, -0.5, -2\/5, 2\/3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 2, q: 1, j: 1, s: 1, d: 1}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7679*q**2*u**2 - 2*q**2*u - 20*q*u wrt u?\nAnswer: 15358*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 41536000 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -88. Let x be (3\/(-2))\/((-11)\/22). Calculate the greatest common divisor of r and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 12. Let k be c(0). Suppose k*i + 163 = 55. Let p be i\/(36\/40)*(-1)\/2. Solve 3 = -4*v - p, 2*r + 4*v + 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2. Let m be (8\/6)\/(1\/3). Let u(p) = 27*p**2. Give m*u(w) - 15*q(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - (-4)\/32. Let f = -0.2 - -1.2. Which is the third smallest value? (a) -2 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 9*m**2 + 7*m - 19. Let p(g) = g**2 - 5*g - 4. Let d be 2 - 7 - (-4)\/2. What is the remainder when p(d) is divided by j(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 20*t + 30. Determine v(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0 (b) 5 (c) 4 (d) 0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 divided by -89?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -79768?\nAnswer: 239304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, -14, 10, 0, -2 in descending order.\nAnswer: 17, 10, 0, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 9*s**2 + 8*s - 65. Determine r(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 3. Let y = -11 + 8. Let d be 28 - 14 - 20 - -9. Which is the nearest to -1? (a) y (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i**2 + 19*i - 1. What is the units digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606120 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let i(q) = 3*q - 5649. Give d(i(p)).\nAnswer: 9*p**2 - 33894*p + 31911201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1370*n**2 + 4128*n**2 - 1375*n**2 - 1380*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}